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Last active June 12, 2018 20:47
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Understanding networks through descriptive statistics
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Understanding networks through descriptive statistics\n",
"\n",
"---\n",
"\n",
"Definitions taken from Networkx documentation[1].\n",
"\n",
"[1]: https://networkx.github.io/documentation/latest/reference/index.html"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import networkx as nx\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline\n",
"from collections import Counter\n",
"import numpy as np\n",
"from scipy.stats import poisson"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Simple graph"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n",
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
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gnnnmGfXp00djxowxXJlnef7555Wbm6vU1NRqN80mAEgE8F1bu3at/vM//1Of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\nMAAABhDAAAAY8H/Px9y+seitGQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113971400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Simple graph\n",
"simple_G = nx.binomial_graph(6, 0.5)\n",
"nx.draw(simple_G, with_labels=True, node_color='white')"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{0: 1, 1: 2, 2: 1, 3: 1, 4: 1, 5: 0}"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Number of triangles\n",
"nx.triangles(simple_G)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Container object of 4 artists>"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x113aa5e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree distribution\n",
"degree_dist = nx.degree(simple_G)\n",
"degree_freq_dist = Counter(list(degree_dist.values()))\n",
"plt.bar(list(degree_freq_dist.keys()), list(degree_freq_dist.values()), align='center')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"## Degree centrality\n",
">The degree centrality for a node $v$ is the fraction of nodes it is connected to. \n",
">The degree centrality values are normalized by dividing by the maximum possible degree in a simple graph $n-1$ where $n$ is the number of nodes in G."
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 1., 0., 0., 3., 0., 0., 1., 0., 0., 1.]),\n",
" array([ 0.2 , 0.26, 0.32, 0.38, 0.44, 0.5 , 0.56, 0.62, 0.68,\n",
" 0.74, 0.8 ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x113a96ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree centrality\n",
"degree_centrality = nx.degree_centrality(simple_G)\n",
"plt.hist(list(degree_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{0: 0.4, 1: 0.8, 2: 0.6000000000000001, 3: 0.4, 4: 0.4, 5: 0.2}"
]
},
"execution_count": 77,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"degree_centrality"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"## Betweenness centrality\n",
">Betweenness centrality of a node v is the sum of the fraction of all-pairs shortest paths that pass through v:\n",
">$$ c_B(v) =\\sum_{s,t \\in V} \\frac{\\sigma(s, t|v)}{\\sigma(s, t)} $$\n",
">where V is the set of nodes, \\sigma(s, t) is the number of shortest (s, t)-paths, and $\\sigma(s, t|v)$ is the number of those paths passing through some node $v$ other than $s, t$. If $s = t$, $\\sigma(s, t) = 1$, and if $v \\in {s, t}$, $\\sigma(s, t|v) = 0$"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 4., 0., 0., 0., 0., 0., 1., 0., 0., 1.]),\n",
" array([ 0. , 0.06, 0.12, 0.18, 0.24, 0.3 , 0.36, 0.42, 0.48,\n",
" 0.54, 0.6 ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 78,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1136a2208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Betweenness centrality\n",
"betweenness_centrality = nx.betweenness_centrality(simple_G)\n",
"plt.hist(list(betweenness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{0: 0.0, 1: 0.6000000000000001, 2: 0.4, 3: 0.0, 4: 0.0, 5: 0.0}"
]
},
"execution_count": 79,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"betweenness_centrality"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"## Closeness centrality\n",
">Closeness centrality of a node $u$ is the reciprocal of the sum of the shortest path distances from $u$ to all $n-1$ >other nodes. Since the sum of distances depends on the number of nodes in the graph, closeness is normalized by the >sum of minimum possible distances $n-1$.\n",
"\n",
">$$ C(u) = \\frac{n - 1}{\\sum_{v=1}^{n-1} d(v, u)}, $$\n",
"\n",
">where $d(v, u)$ is the shortest-path distance between $v$ and $u$, and $n$ is the number of nodes in the graph.\n",
"\n",
">Notice that higher values of closeness indicate higher centrality."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 3., 0., 0., 0., 0., 0., 2., 0., 0., 1.]),\n",
" array([ 0.5 , 0.53333333, 0.56666667, 0.6 , 0.63333333,\n",
" 0.66666667, 0.7 , 0.73333333, 0.76666667, 0.8 ,\n",
" 0.83333333]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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z5LZpmc/zgDOS3D7I8/sr2HcacsJ0zScASU4Dfhv41Er33cCMMF1z+dfALyd5GDgMvHMF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\nSWqcRS9JjbPoJalxFr0kNc6il6TG/R96WS1xcT47bgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1108e16d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Closeness centrality\n",
"closeness_centrality = nx.closeness_centrality(simple_G)\n",
"plt.hist(list(closeness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{0: 0.8333333333333334,\n",
" 1: 0.5,\n",
" 2: 0.5,\n",
" 3: 0.5,\n",
" 4: 0.7142857142857143,\n",
" 5: 0.7142857142857143}"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"closeness_centrality"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## Clustering [coefficient]\n",
">For unweighted graphs, the clustering of a node $u$ is the fraction of possible triangles through that node that >exist,\n",
"\n",
">$$ c_u = \\frac{2 T(u)}{deg(u)(deg(u)-1)} $$\n",
"\n",
">where $T(u)$ is the number of triangles through node $u$ and $deg(u)$ is the degree of $u$."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 2., 1., 0., 0., 0., 0., 2., 0., 0., 1.]),\n",
" array([ 0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x110a9d518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Clustering coefficient\n",
"clustering = nx.clustering(simple_G)\n",
"plt.hist(list(clustering.values()))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{0: 0.16666666666666666,\n",
" 1: 1.0,\n",
" 2: 0.0,\n",
" 3: 0.0,\n",
" 4: 0.6666666666666666,\n",
" 5: 0.6666666666666666}"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"clustering"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"num_nodes = 100"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# Binomial graph (Erdos-Renyi graph)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n",
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
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LFixAZGQkOnXqhJSUlFf+IT19+jR69uwJuVyOzp07Y/ny5Zg+fTqCgoLA5/PB4/EgkUgQ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N0sldGJdTgcCA0NhVwux9dff+2yrzfeeIOKWJh1OrckKisqKhAUFAQ2mw2z2YyqqioqpPHuu+9C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\noKAg2rVrF5WUlFCLFi3op59+ooMHD5Krq6tw3wsXLlD79u2pa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"text/plain": [
"<matplotlib.figure.Figure at 0x110ac9748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Erdos renyi graph\n",
"# Returns a G_{n,p} random graph, also known as an Erdős-Rényi graph or a binomial graph.\n",
"# The G_{n,p} model chooses each of the possible edges with probability p.\n",
"\n",
"binomial_G = nx.Graph(nx.erdos_renyi_graph(num_nodes, 0.1))\n",
"nx.draw(binomial_G, node_size=100)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n",
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": 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2bdpg4cKFCJLJ7hVKn2DEiBG4ffs2du/ejZEjR2L8+PFwc3ODp6cn3n//fUyZ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19fOBwOFBQUAHCFopVKJWJiYvDCCy/AarVi0aJFHND+4YcfWK9yQ7rO5lhNTQ2USqXH4sq2bdsy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0FGazGRqNBiNGjMC2bdsQGhqKsrIyxsT1008/1af9BQJEisUYQ+oR1TFKJdyBgZg6dSrS09P/\nV+aiB8FanG+LMevQoQPWrVvH/h41ahTCBYJmOSwKcKqoqIBAIEBOTg4iIyOhUqkgl8sRERGB3Nxc\nJCcn+/V5CgQCqFQqHDt2jEVRMpkMDocD48ePByEEeXl58Hq9CAoKwnvvvYcVK1agZ8+eGDJkCLRa\nLdNypRNSZWUl1q9fj+joaEilUqSkpKCaz4ebNA+s5HQ6Wa8nN9qibSUrV66ETqfDpUuXIJfLkZKS\nArvdjsjISMyYMQNKpZLV9ui9SKVStGrVCmPHjkVISAg7bmhoKJ5//nkQQjBw4MAmNeaAgADEx8fD\nZrPVcyc34x6UDankyMhIv+NQR0FTxkKhEHq9HgqFAr169fJz1o1ZvLgLEZpGp73AXBpFininiw+d\nTseYycrLyzFx4kSMGTMGFosFubm50Gq1t03h321rTM9ot9uh1WpZPdlqtSIyMpIt6DQaDRITEyGT\nydCxY0d8+umnUKvVCAoKgtlsRnx8PGgWQ61W46WXXsJ3330Hp9OJ8PBwqNVqjBo1CsnJyWjVqhXa\nt28PqVSKw4cPY86cOWxBQa8nNjYWOp0OIpEIXq8XXbp0YfdIyy0ajQZbt25FbW0tQy9zVaukUilm\nz57NGMhsNhtat24NpVLJcBJcB0xIPUBv2LBh6NmzJ8RiMQYOHIiSkhKo1WoUFBTg119/ZW1fU6ZM\nwYsvvnhXUhtTAz92Yx7pFvvPWIvzbTEAwA8//ACdToerV68CqNfx1el0GMvnNyvNSQEesbGx4PF4\nKCwsRNeuXdG/f39UVVVh5MiRGDVqFEaOHMmYjmh9MTw8HElJSaw2ZrPZMG3aNJSWljJigoCAAMyb\nNw8rV65ETU0NtFotUlNTmXoRTU9mZGRAp9PBYDCgrKwMAoEATz75JKIkEtamc8e6WoOTopMZJU0g\n5I/2H6PRCLvdjuDgYPTp0wcqlQpdu3bFO++8w4A2XJrKwsJCFBYW4urVq1i1apXfe2KxGOfPn8fy\n5cv9nJifklADwYNYLEZYWBj69OkDrVB419S8TCZDmF07GgAAIABJREFUp06dEBMTgylTpjSJbKur\nqxnhBX2NorQb0x5GRETgzJkzePLJJ9l4NGa/4h6fqvBw6R8FAgFMJhOUSiVmzZqFc+fOQSKRICsr\nCzqdDiaTCT169EDr1q0hFouRnZ3N0LxmsxlFRUWwWq23jdDplp2dzVivsrOz0a5dO8Z61th50/o7\nV2iD+75Go2H0pCKRCB06dEB4eDgIIQgPD8fkyZOh1+thMpmwZs0amEwmeDweFBYWssULjXgJIWjX\nrh3mzp3LeMPpYmT69Ok4duwYXnvtNfB4PERFRWHYsGF+x6F1d5fLhcuXL8Pn8+HUqVN47bXXGD85\n9zlSaU6a0bBYLGjTpg0kEgnCw8Px448/4uTJk+jatSvUDeWkuy3kAtRq9OvX7395dvq/aTwAIC32\nwNuMGTPI999/T55//nlCCCEbN24kkyZNIt1OnSKz6+ru+tkxhJCFfD4xmUxEo9GQEydOkOLiYqLX\n64lerydarZbI5XLi8/nIkSNHyI4dO8jZs2eJSqUiFy5cIO3btyfvvPMOqaurIxqNhvTp04dcvXqV\nrF+/ntTW1hKJRELat29PTCYTqaurIxcvXiTbt28ntbW1hMfjkcTERHL9+nVy9OhRwufzSVBQEDl+\n/Djh8XhEKpUSp9NJTnzxBdlMCJESQoYQQiSEkPYN1/8mIeQ3QshpQsgNHo/dV+Ofhk6nI4QQUltb\nS65fv05u3brF3uPxeE32p69LpVJy69YtUltb2+R9BSHETAjp1PD3FkLIWULIVc4+Go2G6HQ68sMP\nPxCfz0fEYjERXL9OTISQ8oZ9thJCznA+JxaLya1bt0hmZib5+OOPyfXr1wmfzyc+n4+YTCYSFxdH\nvvrqKyIQCMi1a9fImTNn2PkEAgGpa3jmAoGA9O7dm4SHh5NJkyaRDh06kGvXrpETJ06QkydPkrq6\nOiIWi8nNmzfZ5/l8PrHb7eTmzZvkypUrBAC5ceNGk/sPCQkh4eHhRKvVkrfeeotkZmaSN998k9TV\n1RE+n0+2bt1KBg8eTH799VeyePFiEhsbSzZv3kwWLlzIro879jabjfh8PnL69Gmi1+tJYmIiOX78\nOKmtrSVSqZSkpKSQ9evXE4FAQMrKysiXX35JvvrqK0IIIWazmZw+fZrk5uaS9957j6hUKqLVasnl\ny5fJwoULyXvvvUfWrFlDDAYDAUCSkpLIzp07idPpJDabjXz44YckMTGRfPfdd+TSpUuEEEIkEgm5\nceNGk2dOr9lisZDz588TlUpFLl26ROx2O7lw4QJp06YN4fP5ZOfOneTWrVtEJBKRW7duEZ1OR55/\n/nkSGRlJ5HI5USgUpLS0lHzxxRdErVaTmJgY8sEHHxCJREIuX75MAgMDyc8//0xu3rxJhEIh+720\natWKREVFkQMvvUSO3LhBeLe9wvqVSKxCQY4TQk6ePEkMBsMd9myxP2X/i46/xf4/sbq6OoSEhDAK\nyLq6Oni9XsycOROxSuU9084xSiV27NiBL7/8EgsXLoTdbkd1dTW6dOmCxMRE6HS6+l5GrxfBwcHI\nzMxEaGgoi0qKi4tZpHn9+nVcu3YNTqcTOp0O8fHxkEgkuHr1Knbv3o2SkhIYjUZWK3vppZcAACtX\nrkRMTAy6d+8OsVgMr9cLiUTCaCAJ+QNNWkfq6RhryB/0jPKGKJMiXimQxm63s1Tnxx9/zMbM5/PB\n5XIhODgYCQkJMJvNTfiTaX2QkiD07t3bj8D/bik/ZUNEo1aroVQqMW/ePCgUCrz88st+usRcQNbK\nlSuxevVqPw1gQv7oZaURXnl5Oau1KxQKZGdnIyYmBoSQJrSS9PMajQZ8Ph+lpaUoKSmBzWZjfMWN\nmby40WZgYCBrp6Fc2dz9dDodLBYLAxw1jkK5bGNisZi1qd2NBOVedenbXSc9t0QiaQK245Y0IiIi\nGCMY3TcgIAASiQQqlQpt27Zl7FmE1GtFc9usuMe12WzIzc1lwg+EEEZI4nA4/OrA3M/SFj2qsETf\np6l+btZBrVaz1DWtcdPjNAe8N04gQEJCQhOq2Rb7963F+bYY9uzZA6/Xy/hct2/fjoSEBNTV1TWr\n/cdtt7PP7tixAwUFBU3OcfHiRXzyySdQq9Xo0aMHS+Nxt9jYWLRv3561Srz00kto3bo1dDodvF4v\nPB4Pnn/+eZw8eRJ6vR4SiYQdf9WqVfB6vRg4cCDCwsJgMBiaqMlkZWVBLRDAq1BgLJ/PwFxUe5fW\nemk9VCwWIzQ0lDlXrVaLXr16MQrFAQMGICAgAEVFRTAYDMjOzm7SOkQnyz59+jByjaCgoGb1dZpk\nMixcuJABZ5RKJSOn0Gq1GDlyJHQ6HTIzM5lzqqysREFBAfh8Plwul1+bDt3MZjNUKhVWrVqFfv36\nQavVsgXC9evX/e6Bpi7p37RuSmkqqWOiZCK0zk1bhrhjoFarsXTpUgwZMgQ5OTmMgEKr1cLlcqFH\njx6sHS0nJweFhYXQaDTo06cPevbsyRw9LVHcTvmJ/j8yMhIejwf5+fnYtWsXDAYDc2w6nQ79+/eH\nQqFgCyaFQsHUl6Kjoxm62mq1shY2qVQKp9MJiUSCwMBANrYymYxRjQ4fPhzz5s0Dn89n5CUikYjx\nUXMdJX3P4XCwBZXZbGb7UQIOrVbLHHFjHALdl47N/dTPm+t8hw0bBofDgdra2v/CbPTgWIvzbTH0\n7NkT8+fPB1Af0aWmpmLTpk0A6nsk1Xz+nUXjeTxs2LCBHWvdunWorKy87XkWLVoErVDo1y/sJPUR\naffu3TFlyhSGeM7NzfUTeDcYDMjIyED37t0RGBjIRNOPHz+O2tparFq1Ch6PB6GhoXj44YdZHYwb\nxUilUnz66aeYP38+e10kEiE4OJgRhjgcDvB4POj1ethsNvzyyy+YPHky+vbtC5PJhLFjx0Kv12Pi\nxImYMGEChEIhHA5HEz7oAQMGgBDCIhgu8lkoFDaLLCO0YUKlXMqEEAwdOpQBpSoqKnDmzBkAQHp6\nOrp3784cEp2IKW0jt45MSH0d8vXXX8eNGzcY4YJQKER+fj6L9gUCAWN+ouPHjcLUajVUKhUCAwNZ\nVGUymRhaNzg4GPv370fXrl1ZnzT9bEhICCZPnoyHHnqIOcSePXuyFhydToeUlBS8//77aNWqFdq0\naYPt27fDarVCJBJhwoQJ0Gg0EAgEmDt3LlvM3Skipuen9+XxeJgiESH1rGO0TSw2NhZ6vZ6NOfe5\nctuJ7nQuygXdOMqm7VvcqFsikSA1NZV972jtlyK7TSYT+Hw+wsPDWYTtdrsREBAAhULBsgpOpxNj\nxozByZMncfz4cQgb+uG7dOmCmJgYaDQa2Gw2jBw5krVdNQc5H6NUYvfu3UhJScHWrVv/h2eiB8ta\nnO8DbhcuXIBGo8HZs2cBAO+++y4iIiJQW1uL3377DVarFc8//zwiAgMRo1RinECAcQJBfTuC3Y4x\nY8bA6XQyJp05c+b4cUBT27NnD7RC4R3TrBqBAEFBQSgsLITD4YBOp8PIkSPh8XhQUFCAEydOYNeu\nXYiPj0dMTAw8Hg8joKCTFDdlyI1qaHRAFYroxEfpDZ966ilcvnwZ3bp1YxO/WCzGjz/+yK49JSUF\nI0aMwIABA3Dq1Cn07t2bcSDTiJY6Jxph8fl8FBQUYNCgQWzSjYuLQ2hoaLPJMijaljpP6hCWLl0K\nn8+HXbt2YcaMGXC73RCLxXA6nTAajSwFSXtte/TowXRyCakHlrndbuh0OlRWVkIikSAxMREBajVC\nGqKi0YQgQiSCmgP84Tq4yMhIZGRkMKQxN8qlEn16vR7FxcUoKSlBREQEu/7GkoZ3Aj/R97isXxT4\nRaO8jIwM5OXlwePx+EWV9P+Nr50yien1+ibtTRqNBoGBgaw1qG3bthCJRPB4PBgzZgz69+8PpVKJ\nVq1aobKyEklJSX5EGTwejwlsUE5oLiMWn89Hfn4+Gye5XI7o6GhcuHABNTU1MJlMTDWKdgvU1NRA\noVDAZDIxZ9umTRsUFRVhzZo1DBhGCEFVVRVOnjwJgUCAX375BUOGDIHRaES/fv2Yw05MTER8fDw0\nDb/HO33/uFmtDRs2ID8//783MT0A1uJ8H3BbunQpunXrxv4uKChg8mKTJ09Gr169AIBN9DU1Naip\nqcHu3btZqnn27NmIiorC2bNnMX78eNTU1Pidw+fzIaKZ7FU8Hg9PP/00Ll26BAAICgpCeXk5fD4f\nhg4diry8PNy4cQMFBQXIz8/HkiVLcO3aNUydOpVNumq1GqWlpX4TOCWE4EYw5eXl+OabbwDUa5ty\nnfKiRYvY9V+7dg0KhQLff/897HY73n33XdYexFUe4qZmVSoV4uPjWduR2+3Gtm3bWBtKc8ky+Hw+\ngoKCoFar/RDGcrkcOpEIYQ0ZBG4WQafTQa1Ws1RpYwWixht1bHcTnVDxeEhJSWF13saRXnp6OkM2\ni8ViWCwWplokFAqRm5uLhQsXYtmyZSwKdbvdmDhxIvLz81nat/G17d+/H6+//joGDhzIFlghISHo\n378/W+xMmjSJPaudO3c2If+g9WmJRMJqztQJBwYGYsqUKdBqtVAoFHjooYeg1WoRHh4OqVSK8vJy\nPxEFlUqF8PBwOBwOiMViJCcnw2QyMQpW6uQtFgtSUlKaMJYRQuB2u/2eB8209OrVizGOHThwADt3\n7kR2djb4fD7sdjvkcjmmTp3K0t0ajQZxcXGYNm0aOnXqBKfTCT6fz8QcDh8+DAD4/PPP0b59e4SF\nheGRRx5hfdMRERH3ZNXas2cPgHo+d4vFgiNHjvxH558H2Vqc7wNuiYmJePPNNwHUq50EBQXhxo0b\n+OGHH6DX63Hy5MlmHefxxx9HUlISevbs2USMe9euXc0ijg/h8TB69Gj2uRs3bjAWn5qaGsTGxuLi\nxYuoq6uD1WpFTU0NOnbsiE2bNrGJWywW44033kBoaChoOpHy7Dae2BUKBZuo6KRJySQ8Hg+Ki4tR\nXl6OkpIS6PV6eL1exlxF9+cyVDXeuFFdYGAgXC4Xo2RsLlmG3W6H0+lkjoJO4HdzlPoGfdvt27dj\n8ODBLJWvVqv9CDOok3C5XM3qH9ZLJKyOGRgYyDIKhBAWldG0aF5eHmbPno1Tp05h2rRpUKlUzMGZ\nzWaMGTMGBoMBYrEYU6ZMwW+//YZ//vOfLPrjjmN8fDyWLl2Kb7/9Fh988AEyMjIgFAr9nPXAgQMZ\nNeLbb78Nk8mEXr16scURj8djKWsuAK2iogIGg4GBmOLj46HRaGA2m5Geno5nnnkGffv2hUAgQKdO\nnXD+/Hl88cUXeOuttzB//nwGqJLL5U0Wd0KhECqVCkFBQYxxi0bsERERTZSraJRMgVRWqxV5eXlI\nT0+HwWBAUlIShEIhrFYre44Gg4HRab7wwgvQ6/Xo2rUrO09CQgJ27NgBn8+HnTt3Ijo6GpmZmais\nrGTnV/F4cDYs4Kr5fHgVCqgaIviVK1di5syZmDlzJnr27Imqqqr/0MzTYi3O9wG2Q4cOISgoiAEp\nunTpggULFgAA+vfvjwkTJjT7WDQy1ev12Lx5s997M2fObJZk2mhSD9gJDw9HaGgobDYbI3WgURw3\nTchV6uFGuDabjb3eOOLLzMxE//79ER8fz9CgtO+T/u10OpnUnEgkglarZek+qjvLdTyNHW56ejrG\njx/PruP06dM4f/48EhISWMqwOc7O1AD0oQ6XpiuVzQBr6cViLFu2DO+99x5eeOEFlrpVq9WYPHky\neLx65Z3Y2FgoFIpmLwYowcaoUaPQsWNHfPLJJ36RsNlsZouNxYsXs+/AhQsX0KVLF5hMJhQUFKCq\nqgpRUVFMkUqhUKC6uhpXr17F8ePHGdCIGzXSiLpfv36YN28eAgMDmRADXUw9/vjjOHnyJHbt2gWT\nyYSXXnrJD0BGWalo1uLAgQO4fv06pFIpHA4HE+IgpJ4zPCYmBosWLUJiYiKys7MxatSoJt/9d955\nh6GMY2JiMG7cOEgkEsTHxyMiIoItnGgZhKbpeTyeH9sXIfWoeofDAaFQyPifabcAraVTApfGv4O0\ntDQGdgsLC8OqVavgdDoZgcfixYtx5coVPPfcc7BYLIwQh2YI6DWNGzcOAwcOhEYggFskYqUm6pQp\nZ3aL/XvW4nwfYBs+fDiefPJJAMCXX34Js9mMK1eu4PDhwzCbzbh48eJ9Ha+urg56vR7p6em4efMm\ne33mzJnNTrNarVZ4vV44nU6/thStVouwsDAkJycjISEBKpWKpVRpBMXn8xmfMyWn4E5qP//8s9/1\nrlixws9xDx48GPHx8airq8P69evhcDjQo0cPqNVqZGZmMkm8OwFtrFYr1Go1iouLWVRBU5LUcSQm\nJiI9Pb0+crwLkE3dQJawaNEiFsnQ8zTXUYaEhCAyMpItQmikGBYWxhwbdQ73wxlNnTiPV0+tyePx\n0KdPnybjMXjwYOzatQv79+/HgQMHcOjQIYSFhUGpVGLx4sU4ffo0vv76a3Tt2hVyuZzVcr1eLzQa\nDaPlNJvNkEgkkMvlzDlStDNF+QqFQsaWpVAoEBcXh8rKyvqFhcuFxYsX3xZAFRYWBgBITU3F0qVL\nERQUhE8//ZQ5fEIIvF4v8vLycOzYMXg8Hjz77LPsO7Rjxw6YzWYUFBSge/fuyMrKgkgkwogRI8Dj\n8fDMM8+gqKgIarWaIfTlcjkuXryI9PR0SKVSSKVSvyheIBCw9iCxWMwAhnq9njHGcduZGpcAaPpf\np9Ohd+/eWLlyJXJycliNecSIEfjuu+8wYcIE8Hg89O/fny0+6TE1d8Fn6EQilo5usT9vLc73AbVr\n167BYDDg+PHjAIC+ffvi6aefBgC0b98eCxcu/FPHdTgcyM3NxcMPP4y6ujr4fD6Ul5c3y2G4xWI/\nLtlu3bqxdN4vv/yCr776Ci+99BKj4bNarTAajWxSo1HB7RyjTqdDaGgokpKSkJeXh7S0NNabSeu1\nYrEYo0ePxpw5c5gqUVhYGEaPHo3AwEBGl9i/f3923KioKJSWlkIgECA9PR1ms/m2KW6NRgOpVIqy\nsjIsW7aMoVitKhXChEJWtw1r6P8NCAhAUlISDAYD8vLyYLFYWFqyuY6SCzJSKpV3rPvezzHvlFq/\n04KEOmqdTscWLjStSlPH3PRrYxUmQghrASLkD85ovV6PgICAJvvT+rbZbEZSUhL7PkRHR6NPnz63\nHYO4uDiUlpbi0UcfRZs2bTB58mQQUl+bDQ8Ph0QiYYuGjIwMaDQaLFmyBFOmTEFgYCD279+Pn3/+\nGTqdDr/88gt0Oh3atm3L6vSrVq2CwWDA0KFD2TW2b98e165dY9eTlZWFr7/+mkXdZWVl8Hg8ePXV\nV/Htt99i37592LBhAzweD9MudjgcUCgUfmWQxu1I3OdkMBgQFBTEFi15eXnQarWsNW3cuHGwWq3N\nysq4AwMZ5qPF/py1ON8H1DZu3MjQi7Rv9vz583j77bcRFhb2p6XE5HI5zpw5g+zsbAwZMgTDhg2D\nzWaDSSa75w86IjAQbrcbr732Gk6ePAmRSIQnnngCQqEQV69exRNPPAGj0Yjo6GjodDrU1NRg+vTp\nEIlEcDqdfqAnmkqTSCS4ePEizp49i2+++QYff/wxpkyZApVKBY1Gg6ysrPposgGxTAhh3Mdcp3A7\nrmMej4e8vDzw+XxkZmZCLpejrKwMhNT38tKJlNINlpeXIyYmhhHuU/IKupDgXn9hYSG2bNmCV155\nBVqtFiEhIawFq1oguKejHNMQQbpcLvTt25fVvun1NO6Rbc7iyMnZn2YaaBsS99i3m/z1ej3S0tIg\nFApRUVGBhx56CA6Hg2UVuMQrMpmsCbiMS6xBHTjtfc3Ly0ObNm1uSyUpFovRqlUrlr693QKBHlMm\nk7GSA32dS0xBU8vcyFmj0cDpdCI2NhYGgwEOh4MJJtDaNCH1tXWHw+FHYhITE8MWCjweD23btsWS\nJUvYZyiJy+7du/Hhhx/i4MGD+Pjjj9GqVSt07doVJpOJcZj37t0bGo2GyRgqSX2rWmMw3p3uXSwW\nQ6/Xw2AwIEIovOd3wSOTYffu3f/JKemBsxbn+4BaXl4ekwsbMWIExo8fj9raWsTFxTWp2TbXrly5\nwvRBf/31V+j1egQFBSE1NRUzZ86ESS6/Y5rVJJdjz5492LdvHwICAhAeHg6xWIzLly9DoVAgNDQU\nXbp0werVqyEQCDBr1iwAYFJu3EktNjaWOYYpU6b4XePLL7/M1GeWLVuGxMRE1tMZHR3NtHwVCgUm\nTZqExx9/nEUKtFZHkbTt27dnk3FVVRXsdjubqGn6j7sYoM6AiqzTaJnbc0zbYmgEQ7Vkg4KCoFAo\n6rVbZbJm9QgTQpiko0AgYEhl2grFjQKbQ/qh4Cxq6MKEXiMdf4q25S6AGk/2XMBX4xYlmk6m40Br\n/kajkYkj0PYybksRFZanUeCdInGaBbmdoyakXlSDtvvIZDKMHTsWUqkUe/fuRevWrZGUlITAwEB0\n6NABarUanTt3ht1uh81mQ0FBAdRqNdMy3rJlCxYsWMDul2r/0lQ9vWfaKmc0GmEymZCSkuIH1gsN\nDUVKSgoSEhLg8Xjgcrn8FnBc0B+fz78rGE9B7s0C1pwsyBhCmnQ1tNj9WYvzfQDt2LFjMBgMuHbt\nGiNY+Pnnn7F27VqkpaX96XTSsWPHEBwcjKtXr6KoqAiFhYWM+ef69evYs2ePX7/wGB6vXi5QIGA1\npGvXrsFisSAiIgLh4eGorKyEUCjEsmXLMGfOHEY0cPXqVXzyySdNItKsrCxWE7NYLKzdAgA2bNhQ\nr+2r12POnDmoqKgAIfXIXa1WC5PJhFGjRqGsrIwdNywsjKVLqQqTQCCAXq/H3LlzwefzER8fj7/9\n7W/MISkUCkgkEmRnZzMJwn79+uHvf/87hg4d6kezSJmgkpOTkZGRAZPJ5Bf5NWYsUqlUzXaU3MhM\nLpcjPj6eObbGSlCE3F3MXScSISsrC19++SUKCwshl8shFotvi/bmLkKoElRISAhzpjweD6mpqdi/\nfz8OHTqExYsXw2q1wuPxoLS0FAkJCX7PValUIjg4mNU/pVIp8vPzERcXBx6Px8B53B5iLoPU/aom\ncbMdFNBF0cXca6LKRXFxcUhNTUV0dDRbjInFYpSWluK5555Djx49EBERAYlEwlDMlM6TPoOgoCCk\npaWhqqoKBoOBfX/p+R5//HEsXrwYc+bMwbRp0zBixAhoNBpERERAqVQyAKFWJGr2d+Pfcb6jCUFF\nRQVDQlMN4BZrvrU43wfQnnjiCYwYMQIAMHHiRAwdOhS///47goKC8MEHH/zp4x44cAAJCQlIT09H\n7969cfPmTTzzzDOQy+VYsWIFgD/6hceMGcPk+EQiEXw+H+rq6tCtWzeUlpZCJpNBJBKhuroaycnJ\n6NixI+Li4vD222/D7XZj48aNTSZ+OuklJiZCLpfD6XSyCeGFF16AwWCAUqlE69atodfrmZMTi8WY\nNm0ali5diqSkJDidTlRWVkKn0zEnYDAYoCT16dkx5A8CCmXDeWl6ktYyjUYjtFotunTpArlcjkGD\nBqGgoAAajQadOnVicn+hoaHwer34+OOPUV1dzfpYjx8/jl9//RU9e/Zk0ZrH48Hnn3+OuXPnQicS\n3VXZiI7JnSI8nU6HmJiYJmOoIPVR81g+H9UCASJEIqgaHMbbb78NAPjss88QERGBxx57jIHMkpOT\n/aQKuSnNxsQaQqGQLTqio6Px7rvv4sqVK+jXrx8iIyPx2Wef4datW4xy0Wg0YtOmTZg+fTpLIdN+\nWPqvRCJBmzZt0KZNG3Ze6rz4fD5DYXs8HqhUKrjdbraQovftIqRJmpbH48FmsyE4OJgtYEJDQyEU\nCllvMi0rcCP6P7tx5Rwp/SZ9z+VyIT8/H6WlpaioqEDHjh0hlUoZJaVAIGgWc1pIw4KloKAASqWS\nkbPQaLo5x3ARAnsDCpqR7gQGtgCx7sNanO8DZrW1tbDb7fjnP/+JixcvwmAw4NixY5g5cya6dOny\nbx177dq1UCqVGD16NOrq6gAARUVFWLBgAQICApgIgs/nQ3Z2NhYsWIApU6ZAIpHg3LlzGD16NJKT\nk5Geng61Wg2j0YjTp0/DaDQiOTkZly9fxmOPPQatVsv0ablRCiEEHo8Hv/76KyQSCcaOHQsAWLZs\nGUu9UuAVrf8VFRUhPDwcOp0OZWVl2LFjB2pra/HBBx+wCS0oKOjuBBSc9KdGo2GLgKlTp6J9+/Ys\nGty0aRPOnTuHSZMmsfYlSsQQHx8PvV4Pi8WCVatWsTGlIBxas6Qk/MHBwVDyeIgQifwchqbB8RUU\nFDCgktfrxSOPPMJIHLjo8MbpYOoA6JjSMaB/u1wuJCYmQiAQoE2bNtDpdEhPT2fiFYGBgVizZg1j\njxIKhSw92tjR0EUKj8dDQEAANm7ciNWrV7PMxKZNm1jUOm/ePOzZswdvvPEGVq5cieTkZLaIGD16\nNNq1a8cYtbhEGvdydgKB4J5pWjo2Xq8XpaWlGDRoEIYMGYKoqCgYjUZ4vV5ERkZi+fLlWLdunR+N\n44YNG1BdXc1AePR7mp2djfT0dDbetLxAHS43rX8/zru5fM00ZRwREQGVSgWfz4fz589j/fr1MEgk\n94yeHaReoKTxeNHyUYvd21qc7wNmO3fuRFJSEgCgpqYGlZWVOHPmDAwGA77++us/fdxvvvmG1eVo\ntHnp0iWoVCpcunQJn332GcxmM3bs2IF169YhMTERtbW12LhxIzQaDUaOHMlSwkuXLkVKSgpiYmIY\nwGrSpEmsptaYhIGCfgQCAT766CN8+umnkEqlePPNN9GpUydWA5TL5SgoKMDGjRthMBhY7+6IESMY\nPeaNGzfw+OOPM73hlStXNgv9qWg4f5s2bViq0uv1YuPGjejZsydMJhM++eQTeL1elJWV4fXXX4fN\nZkNxcTF4vHpOZJfLBaVSiQULFuCpp55CUVG5hlp4AAAgAElEQVQRcyQmkwlhYWEwm83YvHkzoqOj\nWW3Q5XKhqqoKNpuNpYMFAgEmTZqExYsXw+12o1WrVti8eTMIIZg+fTpWrVoFnU7H1IS4kSqNEumY\nikQi2Gw2REREwGAwoKqqCk6nE506dYJAIEBWVhYDqHEZsLh1y/uNALl1SZqujoqKQrt27dCxY0d0\n7tyZgeQkEgkyMjIwcOBAxtes1WqRmZmJtm3bss9TZ015lGnE29w0LU0R05RwSEgIrFarH3LbaDSy\nfnRu1P+f3Ogij7ZjUeQ8vwFgdT/O1+VyoVWrVn6/5T179sAkk90xs6InBHvuMl5coZUWu7O1ON8H\nzLp27Yply5bh999/h8Viweeff47hw4ezNPSfsUOHDsFms6G8vBzjxo1jr7/44ovo0KED+/vDDz+E\nXq+HXq9n8nyffPIJi8KKi4vx008/oba2FjKZDHq9HnK5HGFhYZBKpUhOTvabSOnETokalEolPvvs\nM0yfPp2lk6njHTRoEHbt2oXRo0ezFHFWVhYGDx7Mru+zzz5DXFwccyYbN26EXC5vdhqOEIK8vDzk\n5+ejoqIC8fHxAMD6Ro1GI/7yl7/A5/Nh3bp1jKFILBbj4YcfZr23er0egwYNwpYtW9CtWzeYzWZY\nLBbs3bsXjzzyCEMUx8fHIzExESNHjmSOyGAwoFOnTrBYLFCpVBg4cCBGjBiB/Px8xq4llUohkUiY\nOhKdzLlj2jjqup0ToWPLBXTJZDJ4vV4/4JPL5UJUVBRzSrSm+e84IC75Cv2bgr2kUimLHGUyGUtP\nc0FeVqu1/tqa8Wydd3CA3HPfyUnSjY4PIX8gxUUiEUJCQppIG7Zt2xZHjx6F2+2GSqVCu3btGKmL\nVquFis9HCKnn/qYpX4fB0GyyFCqWAAABAQG3FULZvXs3NEIhPDIZqgUCjOXzEcrnQ0MIdt/H8Vvs\nztbifB8gO3PmDDQaDS5cuIAlS5agrKwMR48ehcFgYMIK92v79u2DyWTC5s2bMWbMGMyePZu9V1FR\ngZUrV/rt3759e8hkMhw8eBA///wzsrOzQQjxS3nPmDEDfD4fXbp0gVgshorHQ2gDEcRo0qD2Q/5I\nXSYnJzMC/PT0dD8yBQqMysnJgcViQXV1NXQ6HVOuoc5+1qxZMBqNePbZZ2G32/Hcc88xLuGxfP69\n0Z+8eknC0NBQVFZWMuKElJQUFpnbbDYGQGs8UVMKSJrivFPK8XYo4cbkEdTxNHaYjY8nEAgYOxJX\netBoNDJULTeFq1AoEBISwhYJXJQxPT8X7cxNnVIKRkqSQVO1NpvttpzO97PRxQj3fHdqDeOOyf2S\ni9zP9UilUrYoycrKQlpaGrtvPr9e55mC63Q6HcMAcK+NtiHReiyPx7trilxJmhfJ68Vi1t4lFAoZ\n2Cs1NRUpKSlo3bo147YOCwuDzWZjkoijmjFe3Mi6xe5sLc73AbJnn30WlZWVuHnzJhwOBz766CN0\n7tz5T/9Qtm/fDqPRyIA4vXr1wtq1awHUo5Y1Gg1Onz7N9n/vvfcQGBiItWvXQq1WQ61WQy6XQyaT\nYfDgwairq0N1dTWj0ispKYFOLL5rPS40NBQvvPACi9zUajVEIhGjhTQajcjNzcXLL7+MGzduYNas\nWVAoFOjYsSMee+wxfPvtt8jIyEBOTg6++uortGrVChMnTkRISAhUKhW8Xu//yAR9u0iO235yu1aQ\nxv2v3J5aLtiJ1mm1Wi1r2eHWbgkhLPLlOn/uuRQKBSPDEIlEd4zuGt8Dn89nQCfq0LkoZ+7+crkc\nRqMRwcHBTCavcesRd3+hUIiysjKEhYUhMDAQqampcLvdKCwsZKlXmva+3cJDqVQ2iYL/3WdLgVbc\na+QudEQiEcMX0O8lj1cvpCASiRAREQGZTMbAefSz5eXljELSYDCgsLAQaoHgno5VKRTeFbVukEjw\n7LPPYu/evdi3bx9EIhHGjh2LVatWoaamBqNGjWJZmMDAQNZfTZ/f/aa1W+zO1uJ8HxDz+XwMWbpu\n3Tq0bdsW77//PoKCgvD777/f9/HWrVsHi8WCAwcOsNcKCwuxY8cOAMDf/vY3tGnThr1348YNREdH\nY+7cuUhLS4PD4QCfz8f8+fMRFRWFzMxMJs/mcrkwatQoGKXSe042qoZohurA0kiax+NhyJAh+Oqr\nr9g1nD59GkqlEpGRkTAajZg3bx6MRiPmz5+P2tpa9OjRAxUVFUhOTmYRSVJSUrPSzs6Gyfd2bS1y\nuZxNyjExMSgsLET79u0ZMEssFqOiooK10QQHBzMVnttFsBTty43kaE2bRtCURCQkJIRN/vRf2msc\nFxfXhCGJaigLBAJERERAKBQiJiYGXq+XicxzUcJ3AlLdzlHRFDAX0EXr/BqNhrVoNTe65Dp8bmsW\nVYG6nWCGWCxGdHQ0SktL0apVq2annSnBxkMPPYRevXqx49FnEBAQgJCQED8d4MYbfUYUYEXLKvS5\ncDmohUIhA7LRunJzvofRDcdQ8fn1QiWkPj0dJZPBrtWiZ8+e6N27N3JzcxESEgK6YPV6vWjdujXi\n4uJgMpn86vUmkwm5ubno169fswRSWtLOzbMW5/uA2EcffYTQ0FDU1tYiKioKb7/9NlJTU7F+/fr7\nPtb8+fMRFBTURF4sMTGR1XIHDBjgx4H71FNPISQkhDm72NhYFBcXIyIiAl6vF4TUk/Lv27ePtcA0\nZ7IJF4mwfPlylJeX+010L774Ir7//nscPXoU//znP/HRRx+hpKQEGo0GYWFhjHFo0qRJmDt3LvLz\n82Gz2Vj0JZfL0bZt23o1nmbonjbunWw8AdPIPCAgAF6vF2FhYcx5UKdBJzybzYbWrVuzdKxEImF1\nP6PRCLVajX/84x/Yt28fzGYzjh07hk8//RRxcXHIzc2FWq3GG2+8gbS0NCxfvhxmsxlVVVUM7d2u\nXTv2XOLj49GmTRtGm6jT6VjE5XA48Pjjjzd5/jdv3sSsWbOYag4FbdHIs127diCEoHPnzpgwYQLM\nZjOEQiEOHz6MvXv34sUXX0RlZSVLz8bGxiIzMxMxMTEICAhg6O67EUE0HluKug4NDWU9zBQ4RwUy\nIiMj4fV6We8xIc1L02o4Ub9IJILRaERcXJyfuAFNrdPn2VygFU2Rc78H3Pe4i5vmkl8Q8gcIkV5z\nUlIS+vfvjylTpuCZZ57Bk08+iaKiIkYmQvuhqQ52bm4u9u7di6tXr7Ln7vP54G6GNGgL4Kp51uJ8\nHxAbOHAgZsyYgddeew2tWrXCyy+/jISEBNYS1Bzz+XyYNGkS3G73baUG7XY7Tp48idraWphMJsYb\nTVV1SktL8f333yMvLw9Dhw7Fhx9+yFKTAoEA165dY8IIQUFBzaJRpCnBxhGYXq+H3W5HWFgYi9y4\noJeoqCj07t0bQ4cORUlJCRNXJ6RebGDFihWorKyE1+vFoEGDoCR30T3l8bBkyRLExcWhXbt2KC8v\nZ5GSwWBAeno6JkyYwMjwg4OD0aVLF/D5fIa8jY6OZkjugIAAxqJlMBj8VGxoXdVqtUImk6GyshKr\nV6/Gzp07cfDgQUycOBFCoRB9+/aFUChEREQE3nvvPYSFhaGiooK1NVGzWq3o168fLBYLevbsiTNn\nzmD06NFsHIuKim47kd66dQvDhg1jUVJMTAwMBoPfgoJybtNjGY1GxMTEID8/Hw8//DAb99jYWKjV\navTr1w8HDhzApUuX2Dn379/PFi5GoxE2m41FgrdzZPR1Wl8NCAjApEmTmGg9n8+HRqNh8oxGoxFa\nofCuPdNOpxORkZHMUdntdmRlZeH8+fM4ceIEsrKyIBQKYTAYYLFY8Nxzz+HFF19kBCs06o+KimL1\ncrq4oCpRY8aMgdlshs1mg91uh1gshkQiQYcOHaBQKBAYGHhfKfJ58+ahoKAAKpUKOp0OOTk5SElJ\ngVwuh0KhgEajYWDFgoICvPjiizhx4gSOHj0Ko9GIK1eu3HYO2LNnT7OY6lrs3tbifB8Au3LlCrRa\nLU6dOoXk5GS8/PLLCA0Nxa5du5p9jNraWgwePBhJSUk4c+ZMk/d9Ph/EYjF+//137Nu3D/Hx8fjp\np5/QrVs3yGQy9OvXDz6fD5WVlcjLy0Pnzp0Z6QVtD6HIX5PJhJkzZ2JccziMCUFkZKQfaEehUPg5\nDJ/Ph9zcXCiVSkgkEj9E9oEDBxgjlkgkQlFREV5//XU8+uijTOpOIBDUtwHxeAjh8VDNIRaICAyE\nw+GAVCrF2rVr8eWXXyIvLw8mk4mhWpVKJS5fvoxBgwZBLpdj8eLFjFOaRWANwCaVSoUlS5agpqYG\ncXFx6NGjBzIzM1FUVIQ+ffogJCQEO3fuhMlkgkgkQlpaGnr06IF27drB4/FAq9X61Wc9Hg80Gg2K\ni4uxceNGppZz6NAhAIBEIsHMmTPB4/GwdOlSHDlyBPv27WPZCIqEzs7ORnZ2NqKiopiGrFarZQhm\nypxF5QSFQiEKCwtZbZOQ+l5nj8eDWbNm4YcffgAATJ48GTk5OThy5AgGDRoEnU6HESNG4MSJE+wZ\nnTlzhi2uTCYTpk6dymg5GyOFKcqdOmGr1crqwY17js1mM6RSKRQKBexaLdxi8W1JNgghyM3N9TsX\nra1PnToV7777LjZt2gSr1cqyC61bt2YRpEQiYf3HNNXrcrnYYoVGyneKlvl8PlwuV7M4l8MbsgXU\nuXOzB1qtFiUlJZg3bx4++OADdOvWDXFxcfjb3/7Gxnrw4MF44okn7joXNGaqYyQbdnuL470Pa3G+\nD4CtWbMGxcXFeOeddxAVFYX58+ejqKio2Z+/fv06unbtirZt2+K333677T6XLl2CUqkEAIwcORLF\nxcUwGo3o3LkzoqKicOPGDQwfPhwWiwU6nQ7FxcWw2WxsEuA6nq5du2LXrl2IVSqbxdZDiD9gKDIy\n0u/annrqKRa1OBwO3LhxAz6fD6tWrWK8wXw+HzKZDGq1Gnl5eYiMjGRMWFu3bkVWVhaUSiW2b9+O\nmpoa1NTUYMWKFYiNjUVBQQGcTidKS0thMBgwf/583Lx5E9nZ2YySsqSkBH379oVEIoFWq8WoUaMY\n2EwgEGDkyJHQaDSw2+1o1aoVS307HA4kJCQgICAAAQEB2LdvHyZMmICCggKcPHmSRa1Lly7FrVu3\n8OWXX8LpdEIoFCI6OhqkIXIrLi5GcnKyn/OhzoSb8jSbzYiKimJAG8rkRMFnS5cuxS+//ILa2lpc\nuXIFcrkcGRkZ6NevH8tiLFq0CCaTCVarFdu2bUNMTAyT/KPKUhqNBu3atcP69euRl5fHFkQ//fQT\nxo8fD71ej8rKSkYParfbIRAIkJaWBj6fj/z8fHTs2JFpJjcWp6f3JBKJ4HA4mBoSjTK3bNmCnJwc\nxiVNFxNcgQhC6klD6DETExNhtVqRk5PD5AslEgliYmJYXzhXwEIgECA/P5/Vhz0ezx+MWgoFDAbD\nPVPrNFszZMiQZqV81ZwFgkAgQEVFBWw2G8RiMRwOBy5fvsx+F+Hh4cjJycHWrVsBAL/88gu0Wq0f\nSPJORpnq6G9h9+7dLanm+7QW5/sAWGZmJl577TW0bdsWy5Ytg9lsxr/+9a9mffby5cvIz89H586d\nce3atTvu98033yAkJASffvopqwUeOHAAgYGBePPNN1FUVAQ+n49Bgwahd+/eiImJwY4dO5iaD49X\nL0IfERGB6dOnw+fzIdxmuze6k1evRzpx4kS/yWrAgAH461//it69e0MoFMLtdiM4OBgjR45E3759\nWSqTRrZ2ux3/+Mc/UFtbi+3bt0Oj0SA0NBSff/45qqurIRAImCO4efMmpk6dCpPJhDVr1mDbtm2M\nc5oLNPnyyy+Z7jBty6GIV7vdDp1Oh2HDhkEqlWLz5s1IS0tDXl4ejhw5AqvVCqfTydp9lEolBAIB\ngoODIZPJMHDgQDz11FOYMWMGKisrYbVaGXcw7d2lTkStVkOr1aJz585wu93Q6XQYPHgw0+Tt0KED\nBAIBpk6disGDByM3N5fxGdMxEolECA0NhcFggNVqxeDBg7Fz50643W506NAB/fr1Y4xNNpsNBoMB\n27ZtQ3BwMKu5jho1Cvv27cOIESNYepVK9SmVSkydOpWVQS5cuICamhpYrVYUFxejQ4cOEIlE2LZt\nG9566y2WjlcqlVi4cCFzkreLHqlTpg7T7XbDYDDg4YcfxvTp0yEQCBi3dFhYGFwuFyOwIIT4cSzT\nqDIgIMAP7BUaGgqXywWZTNakVsutTVMVLBo5FxQUwGQywel0IikpCVFRUSyKb/x5qVR61/KHsuEe\nHQ4HxGIxU3qaNWsWLBYLJBIJunfvDqB+sSyXy9GpUye88sorAOqzEEOHDv1Tc0yL3b+1ON//4/bV\nV1/BYrHg/fffh8PhwNixYzFgwIBmffbs2bNo3bo1BgwYgNra2rvuu3v3bthsNiZQUFtbi6qqKqSm\npjKpszfeeAP5+fkoKirC0KFDwefzkZycjLNnz0KlUuHpp5+GVqtFSkoKE0JX8Xh3nWweeugh+Hw+\nbNiwAYQQBtypqqpiICZu+wfVQHW73Wjbti2USiWcTifOnz8PADh16hSkUikSExNx7tw5bNq0CTwe\nDxs2bABQT8SRkJCAoqIi/P3vf0dpaSkiIiLwzjvvYM2aNYiMjMT58+fxyiuvoG3btgzpTCNv6oQ3\nb94Mr9eLkSNHsgiFAobS0tLg8XjYJM5VPaIMVAEBAaytyuFwwO12QyKRMJYxjUbDeplPnTqF5cuX\ns/csFgsAYMKECSCEIC0tzS9b8Nhjj2HMmDEA6qMjPp+PpUuXQqVSYeTIkUzOjvYy0/ujTi4jIwMq\nlQpKpRJ9+/ZlqeCAgAB2jrq6Orz//vt49NFHYbVamXiF0WjExIkTcfToUQD1LWvPPfcc6yXu2LEj\n6urqUFtbyyJtujiQSCSQyWQsC0JTvDTFrFKpWM28TZs2GDJkCEpKShiFaFBQEOvNFYvF8Hq9LJXe\nuNVKJpPB5XKx1C7NVNAabkZGBlq3bt0EvU2ZwOh1eDwedO/enbV2zZs3jzFn3SkaVpD6tDhNkUfL\n5XDb7di1axfGjx/PFmvLli3DE088wRS46DitXbsWe/fuRVRUFLxeL7p3747XX38dBoMB33zzTTNn\nlhb7d63F+f4ft/Hjx6O6uhplZWWYNm0a9Ho9fvzxx3t+7tSpU4iKisKECRPumU56/fXXYTKZYLfb\nMWbMGIwdOxYzZ86EQCBAYmIitFottmzZgsjISFRWVsJut0MkEmHZsmUA6lNYVquVIY1FIhGys7Ox\nePFi8Hg82LVahDWw7FQLBExwvn///uzzAwYMYLU02pPocrkglUrhcDjYaxqNBqmpqazmZjQa2Xh8\n/vnn0Ol0cLvdLIUrFAoxfPhw3Lx5E9OmTYPJZMKKFSswY8YMGAwGTJ8+HdevXwcAnDhxAl6vl4mv\nJyYmsuiSRt80CuTWp2mdkAKEtFothgwZwqI7u92OlStXwuv1sjGjdubMGRQXF8NisaCoqIgpCtGo\nLDY2FvPmzYPP58P333/P9GoPHjzI5O4oGA6oj+qtVitDsh87dgwUePXWW2/BZDKxrMn+/fsRGxsL\nsVjMInk+n1+fInW70aNHD9ZnTGvbcrkcsbGxKCoqwoABA/Dkk09i+fLlmDNnDlJSUhggigKxli5d\ninPnzuHq1atMdCAyMhIPPfQQCKlvk6GRabt27bBt2zZIJBLmgClRBI1YqfIQTffThQF1ktyIUygU\nIiEhgfUH00UcdcZyuRwulwsBAQEwGo3seHq9Hmq1GjExMcjMzER4eHiTyDkmJoapN3HlJ+lY0eiY\nLrpoGxKVvGwc4cfFxWHlypVYvnw5unfvjvz8fOh0OhQVFWH58uWMDIUulKxKJSJEIozh8TCWz0ek\nWAyTTNZSs/0vWovz/T9sdCLdtm0brFYrevTocU8wBVAfLTscDsyZM+eu+/3www/o3LkzwsPDMXr0\naPTv3x8ulwtutxtyuRyPPPIILBYLZs+eDYvFgoKCAibBR+tKy5cvh1ku91OU8SoU0DQ4y8GDB8Pn\n8yEvLw/l5eWM7aeqqgpPP/00iouLYTAY2ORJ/z169ChGjx6NnJwcRoF46NAhzJ8/nwGvCKkXIFi9\nejVeeOEF6HQ6KJVK/Pjjj7h69SrUajWSkpKwZcsWhIeHIz4+Hv3794fBYEBwcDCKioqQlZWFoKAg\nFvXR6JT2yT788MNMmchms2HUqFEoLi6GUqlkqc2QkBDYbDasWbMGXq+XcULT+nhJSQkqKyvRq1cv\nv4XQ2bNnkZWVhZKSEvz22284fvw4nE4npk+fjldeeYXVMCkSt3379n7I3Pj4eEazqNPp8MUXX2DL\nli3IyMjwe87du3cHIQRHjhzBX//6V4ZqB4AvvvgCNpuNOVcej4cZM2YwxrLVq1cjISEBGo2Gpfcz\nMzPxl7/8Bc8//zyefPJJPPLIIygqKkJcXBxL0dMoldZjQ0NDGSiNgqT4fD4GDhyI7Oxs9OjRA0ql\nkjklivKlICsuKIsuhrp27YqOHTsy6kaJRIKIiAgkJSUxMBZ9ndujfDsFJCX5AxwVExODixcvAqiP\n3P/xj3/gqaee8nPsPB4P4eHhiImJYQs0+p5EIoFUKmUyhlyeaD6fj06dOmHixIl45JFHEBoa2iQy\nlkgkaNu2LXJzc7FkyRLYbDaUlJSwuvndWLJa0Mr/PWtxvv+HbevWrUhPT0dlZSWGDx8Oq9V6R8AU\ntU8++QRWqxUvvPDCHfepra3FokWLYDQa8cQTT2DHjh1IS0tj7QuVlZVIS0uDy+XCgAEDoNfrYbVa\nIRQKsWDBAly+fBkrVqxAeHg4lDzeXRmshg8fjsOHDyM3N5cRQlD5uHHjxuHVV1/Fd999x5yfy+WC\nx+PB3LlzGd+zXC7Hu+++i8OHD8NgMMDtdkMkEmHq1Kno3bv3/2vvzOOiLPc2fs3OwMzAsA0wDIqC\noCgI4kouZCqK60n0uGNlmqQlWWmr2kklyzQ7pZUnS0tNStMWza1cUtPMt6Npviom7iKC7CBzvX/g\ncx9QECrjZO/9/Xyezwwzw8zz3M/Mc933b6Wvr6/wF3t6ejIkJESsOpRo3uDgYAYGBtJkMnHw4MGc\nPXs2R44cSbvdTrvdLky9/fv355tvvkkfHx9+9913YszCwsKo1+u5YsUKUZUpOjqaMTExQrDXrl1L\nX19fzp49mxMmTBBBYDNnzmSLFi2q5FwePHiQjRo14pQpU3jt2jUhvPPnzxeveeedd9ipUycajUba\nbDampKTwnnvuoVqtFqtU5aL/0EMP0WazsWPHjqJKmUJJSYkwb5MVldLCw8OZlZXF8vJyUalMyS01\nGo0MCwvjyZMnOXHiRM6ZM4cnTpygXq+nq6srR44cyYCAAK5fv/6m71ZxcTFbtWrFqVOncvv27Xzy\nySfpcDhuWjneKDiV6ygrK+K4uDhaLBba7XaOGDGC3bt3p1arFQVedDodmzZtykWLFtHb25vPP/+8\nSAVSgqWSk5Nv6nlcW6N65byFhYXRaDQyKiqKycnJbNy4cZXGE0BFoOCgQYM4btw4USCladOmfPHF\nF8XflU36yjmz2+309fUV33FPT88queGVxyoyMpLDhw+nl5dXnapkyTzd+kGK71+YPn36cPbs2fT0\n9GTHjh25cOHCW75+y5Yt9PHx4erVq2t8zffff8/Y2Fh27tyZS5YsYWObjU20WrEKCNVqab5e57hj\nx45i9RUREcHNmzdz/PjxtFqt7Nu3L4O8vOpUvMLX11f4S1955RWWlpaK/Tlw4ABDQ0PFCsHNzU2Y\nr5WesSaTSUTFKr67pk2bslevXmzYsCHtdjv79etHPz8//u1vfxMrLHd3d0ZFRXHKlCn09vbmlClT\nuG3bNt53332iIb2/vz9btGjBuXPnVokS/fjjj9mwYUNevnyZJLlz504C4N///ndaLBa++eab9PPz\nY9euXdm7d29RHlKtVvOXX35hYGAg1Wo1k5OT6ePjU6Xj1Lp16+jt7S0KpJw4cYINGzbka6+9VuVc\nZWVl0Ww20+FwcMWKFbzrrrvocDioVqvpdDqrpLsEBgYKa0C3bt04Z84cbt26VUzWFi1aRAD88MMP\nSZKPP/4427Vrx4KCAnbt2pUhISHCxzpu3DhGRUXR09OTvr6+XLx4McmKXHOdTkebzcYBAwbQbrdz\n4sSJ/N///V/u2LGDy5cv50svvcQRI0aIWtCKmNntdlH/uLKJVgl2qtxRqW3btkKEKqcfeXt7i+pm\nig+5cuOFmTNnsn///gwKCmLjxo2rmKJNJlOdCnJYKkVL63Q6pqamMjk5mQ6HQ/SDvjGdyWg0ctmy\nZTx79ixtNht1Oh3nz5/Pe++9lz179qTdbudbb70l4iGUsqGTJ0/m0KFDGRUVVaXISeW+wjeap+tS\nuEZWqKofpPj+RTl79iw9PDz4wAMPcNCgQWzatCnLyspqfP3HH39MHx8fbt26tdrnr169ykcffZQ2\nm43vvvsu16xZIyo/VVvk/brvVgkmat++Pe12O6dNm8bMzMw6pxI1qdRkICAggImJiWzdurWI6FTM\nbJVNdzabjWq1mj169KDBYOCSJUvYpk0btmnThlqtlsuWLePx48fZvHlz3nfffeKit3fvXr722mti\nRdKtWzcRgNOoUSMGBgaKdBlPT0+mpKRw3759Na4SJk2axMTERBHBq3Swueeee7hixQoRFT548GCa\nTCYRhKakGqlUKgYGBvKTTz4hWeHbfumll+jv789vv/2WJHn8+HE2aNCACxYsqHYfEhIS2KVLFy5Y\nsIBOp5NTp04VPlyl/GSTJk04fPhwenh4iDSjYcOGsX379nR1dWV4eDhHjBghSjbm5eWxvLycI0aM\nYGJiIp988klRyESZMDz66KO8dOmSqLHdpk0bDhw4kFqtlh07dhRtCxUTcIsWLditWzfGxMTQzc2N\nDRo0oNls5s6dO8X4OZ1OEai0Zs2aKk35hPsAACAASURBVMISFBTEDh06sGnTpvT09OSoUaM4e/Zs\nkc6l9HD28fFhaGgog4KCRF5udUFN0dHRfPjhh7lw4UIOHz6cVqu1TqUog4GbWl7GxsbS63qp1JpW\nzGq1mlFRUdy+fbvw+U6fPp0+Pj50dXVlu3btOH/+fHp6ejI5OZlGo5GxsbHiN71w4UJ27tyZAwcO\n5IQJE/jaa6+xUaNGDA4OrnKcsjbznwcpvn9RZs2axSFDhtDDw4NhYWFcu3Ztja9955136O/vz++/\n/77a59esWUOHw8Hk5GRmZmYyLS2NZrW6TnWX3d3dmZCQwNWrV/P48eNcuXIlJ02axKCgoDpX7FGC\nsBo1asS1a9dy7dq1vOuuuxgTE8NDhw4xICCA/v7+VKlUDAoKYvPmzYWJs2fPnnzggQcYGRlJjUbD\ntLQ0btq0iTabTQjSmDFjmJKSwmXLlgnT9ZAhQ+jj48OEhASazWZ6e3uLPFE/Pz+mpKTwq6++EsFW\n1VFaWsr27duLC9nHH38sVmaPPfYYmzZtSj8/Pw4YMIAajYadO3dmYGCgMLMaDAZOmjSJZIU5dtSo\nUWzZsqXwtx4/fpxBQUF8/fXXa9yHf/3rX2zdujX79etHktyxYweBigpIymcMGjRIVCXz8/NjfHy8\naDdZWlrKH374gW+//TYHDhwoTJlRUVEcPnw4Q0JC2KRJE3p7e4tqV97e3rRaraLYRWRkJJs3by5a\nOUZHR/Obb77hhx9+yODgYAYFBYnUpqlTp/LYsWPiO9yuXTuWlJSI41EsKcoE69NPP+WePXvYt29f\nMfkKCwtj7969abPZ2Lt3b3bv3p0qlUoUPtHr9SLgSq/Xs1evXsLSUNmMbTKZRNlFnU5X5++rstJW\nxqBOnYaur7K1Wi3vuecemkwm+vj4sEGDBoyKiqLJZOK2bdtosVhE8RWdTsdRo0aRrKg4FhYWxo4d\nO3LFihUkyX/+858cPXq0GLvnnnuuTlXjpPjWD1J8/4I4nU6GhoZy2LBhjI+PZ+fOnWtcnaWlpbFh\nw4YitaMyp06dYr9+/RgWFsZNmzZxyZIlDAoKYlxcXJ0KrIdqtRw8eDD79+9PPz8/2mw29u/fn7Nm\nzeIDDzxQ5/KREydO5GuvvUatVisijmfMmMGTJ08yMTGRGo2GI0eOFEXz4+LiRET1U089JaKdH374\nYc6fP582m02Y1Xbu3El/f3+mpqYSqCiqYLFYGBAQQFdXV3p5ebFhw4Z88cUXmZmZSafTyR9++IH/\n+Mc/2L59e1osFvbv359vv/12tVHkp06dos1m49atW1lWViYCiaKjo8UFtEOHDvT19aWrqysdDocI\nJnJ1dWXjxo25fPlytm/fnvfee68o+3fs2DEGBQXdFP18I9nZ2SK4q6ysjD/++CNVKhUvXbokhMZs\nNjM5OZnR0dHMyckRlaYsFgsXL17MJUuW8IUXXuCYMWNE7qurqyv1ej0tFkuVohIqlYoOh4PDhg3j\nv/71Lw4YMEDsS2lpKZs3by4iv7t06UKz2cywsDC6ubnR4XCwb9++or2l0+lk//79OX78eJLkxo0b\nxWcpJSIVoV60aBETExO5detWduvWTUQQK0FLlStIKQ0t/P392aRJk5taVioBVEoN6OTkZKamptb5\n+9q9e3fGxsYyOjq6Iv+3DivmUK2W8+fPF5NIJbK7b9++woecmprKdu3a8aOPPmJERAQTExOp1WqF\n1WP16tU0mUz8/PPPSVa4ZJo0aSLGv67WJml2rh+k+P4F+eabb9ikSRNarVZhTr0Rp9PJyZMns1mz\nZqLUn0JZWRnnzp1LLy8vTps2jWvWrGGLFi3YoUMH7tix41eVfoyLi+OKFSt48uTJKhOAul4IIlxd\nuXnzZu7evVsEnyxbtoz/+Mc/6OXlxY4dOzIlJYXz588Xq93t27dTp9PRbreLFWu/fv2YnJzMFi1a\n8MSJEyQrxCA0NJTBwcHiAq3RaEQA0ahRo7hjx45bBp9cvHiR77//PgcPHkyr1cqYmBg+++yz3L17\ntzCXbtiwgQEBATx79iyfeuop8TlPPfUUNRoNfX19ReSrVqsV6TmrVq3iggULqNVq2axZM2ZmZpL8\nj/C++eabdfo+9OrViw6Hg7t27eKJEyeoUqn46aefCvGdOHGiyAFt0KCBGDNFsLp3786pU6fyjTfe\nYHp6OlUqFaOiosS4XLp0SawitVqtaM6gVFVKTU3lhx9+yF27dnHIkCEEKso+OhwOhoSEcPHixdy/\nfz/btGlDu91Om83GjRs3kiRzcnIYEhLCfv36Ua/Xi7Kc3bt3Z0BAAE+fPs2SkhKRwz569GiGh4fT\nzc2NzZo1E/5/paPRjV2nbhVAZb4eKa6kIoVqNHWquKakh/Xt25eurq5MVanqJNpdu3al0+nk3Llz\nRVCZt7c327ZtK1KQpk+fzvHjx/PcuXNs0qSJcKVs27aNTqeTJpOJzzzzDMmKwMjKbT1lY4Q/F1J8\n/4KMHDmSCQkJbNmyJYcMGXLT82VlZRw9ejTbtm3LrKysKs/t3buX0dHRvPvuu7lq1Sp26dKF4eHh\nXL16tfhBzpw583ebr37NhWDdunX08/OjXq/nQw89RI1Gw4SEBJ44cYJRUVHctm0b586dK9KY0tLS\nRM6lwWBgbGws27Vrx3vvvVeU1ysrK2NCQgI1Go240Gm1WrZq1YpLliypsbD8rSgrK+M333zDJ554\ngs2aNaOPjw9HjRrFjz76iE8++SQ7d+7MM2fOiM9MTEwU/r2AgACGh4cLkdBqtfzggw/o7e3N9957\nj08//TS9vb359NNP0+Fw1Bg853Q6eeHCBe7bt4+ffPIJ58+fz4SEBJpMJjocDhFoVDmqd+zYsXRx\nceEzzzzDiIgIRkZGcsuWLczPz2dCQgLVavVNHaoAcNeuXeKxxMREKqlW4eHhfOONNxgfH8/p06dz\n5MiRYkWniF/37t2Znp7O5cuX85577mFgYCBfeeUVvvLKK7RYLDSbzZw0aRJXrFhBf39/EZC2atUq\nKgFzRqORHTt2pIuLC11cXDhixAimpaXx9ddf5wsvvMCBAweycePGIh9Xad2niHFdzMGNbTbhqzbV\n4fUmlYqtW7cW41tXP+vk67neSpZBfn4+w8LCxP4q8RNKAQ6n08nMzEwGBweLylqnT5+mw+Ggn5+f\naBPao0ePKgGU69evv2W/X5lqVH9I8f2LkZOTQ4vFInqkKp2FFIqKiti/f3927969Sp3X3NxcTpgw\ngX5+fpwzZw6TkpIYEBDAt956q0qg1qlTpzh8+HA2Uql+t/lqy5Yt9DEaa74QGI1MTExkw4YN+fbb\nb1OlUomqUI0bN+bu3bvp7e3NDRs2sEuXLlRSZkwmk4hYDgwMpN1u54wZM8RKdNeuXTdVEEpKShIm\nzNtFRkYGX3/9dfbs2ZMmk0kU2o+JiaHBYBB5rJX7vKquR4pbrVYGBgZWsVp8+eWX1Ov1tNlsfPXV\nV7lo0SI+/fTToj9rSEiIKOLfsmVL9unTh+PHj+dzzz1HnU7HFi1a8MiRIwTAlJQU6nQ6RkRE8KWX\nXhK+QafTyeXLl7NBgwbs378/f/75Z06bNk0Eip07d44kRas+hblz54ox9/X1ZVpaGo1GI/38/Ni2\nbVu+9dZbzM3N5blz5xgUFES73c5evXrRx8eHNpuNcXFxIthr3LhxbNeunVhNT5s2TdQnrty/WK1W\nMykpiX5+foyOjqa/vz+tVivvvvtuTp48mR988AF/+umnKtXZsrOzOWPGjDoHUCnf4czMTHbv3v2W\nwmVRq9m1a1c6HA5GRUVx3rx59PPzY4haXafPWbJkCW02m0jBKi0tFX5q5Xtqs9moqTSpzcjIoMPh\noIeHh0g/6tmzJ9PS0kiSM2bM4OTJk8Xx7927t6JJg2yM8F9Hiu9fjIULFzIyMpLBwcF87LHHqjyX\nm5vLLl26cPDgwSKIxel0Mj09nXa7nUOHDuX9998vKjcpq79r167xiy++YN++fWm1Wjl+/Hg28vW9\nLear0aNH06rXM8LV9T9FNkwmNrwe/DN06FDed999ojygEmz0wgsvVESvGo2MNJnE/zbR6eiG/+Tn\nWiwWUTh+586dVaoNKRGgtaVg3Q7y8/O5dOnSivq8KlWVlJNgVJg4lbxipZnB448/zjFjxjAhIYGh\noaEixzkgIIB6vZ7h4eGcMmUKFy9ezI0bN/LIkSM1rtgTEhJoMBiYl5dHJZ1IaT3YpEkTET2tUFRU\nxLS0NHp5eXHChAlcsGCBaLv43nvvcdu2bQTAl19+WYytUqxCSeExGo3V1hCfPXs2dTody8rK6HQ6\n+csvvzA9PZ1Tpkxhy5Ytq02TUXrNmm7wzzZWq2lWqTht2rSbXBu3oq7Wm1RA1Odu1qwZ27dvT0+9\nvsr5a6RS0e7uLnytlfPgJ0+eTJubW+2/FbudTqeTO3fupI+Pjwh+3LFjh4hpUMbC09OTHh4evO++\n+5iXl8ejR48Ky5BKpeIPP/xAb29vZmVlcfPmzWzfvr047kWLFjE5OVk2RvgTIMX3L0arVq3o4eFB\nq9Uq6hWT5IULFxgTE8OHHnpIrAROnjzJ3r17MywsTFRueuSRR0TAy7lz5/jiiy+yYcOGjI2N5Tvv\nvCMu7rejr+fXX39NPz8/fv3113RxcaGXlxefffZZDho0iDabjQ888AC9vb35yCOPMDs7m82bN+f/\n/M//kKyoJV1bgQ43NzeOHDmSs2fPFukfSuMFDw8ParXaOte5/r2UlZVxxYoVtOp0t9xn5QLbtm1b\n4WdduHAhfX19OW/ePHGBzM7O5rhx4+jn58elS5fWeuF8//336enpyfXr11Oj0Yic2eeff54RERE1\n/v/FixeZkpJCb29vDh06lJ6engwLC2NCQgKbNm1KrVbL3bt388EHH6wilCaTiZ06dar2PTMzM6nR\naLhx40bu2bOH8+bN4+DBg+nt7S2ipVu1aiWip+vin/W5HhuQk5PDEydOcN++fdy4cSNXrlzJN998\ns0JsJ0/m/fffzwEDBjA4OLhuzelVKk6ePLlK32tFuJKTk0WBFjc3N1osFj7//PPi93PmzBkOGjSI\nfn5+9NDpbtkzOCAggI8//ji//fZbrlq1igEBAcJqlZiYSKvVykGDBlWx1kRHRzM0NJR79+7loUOH\nRDBcSkoKH3roIaamporOU4oZeuzYsTflg0v+O0jx/Qvx448/0sPDg97e3lV8dCdPnmRoaCife+45\nOp1OlpaWcs6cOfTy8mLfvn1F6cnjx4/T6XRy8+bNTEpKEnnC1QVskb+vr+fFixdpt9tF3dnIyEju\n3r1bRCuHhoaye/fuPHTokPif+Ph4btq0iU6nkyF+frWuJjyu5wgrPlalApXdbqfZbGZ0dPRtGffq\n/KyTJ0/m4MGD2b59e9FD11KH9CxFgFNSUvjtt9/y0KFDtNvtfOedd6r97N27dzM6Oprx8fE8fPhw\njfuYk5NDg8HACRMm0GAwCP9nUlISX3311VqP8fDhw+zTpw99fHxosVg4ZswYYWY2GAycPn06HQ6H\nMKG3bduWVqu1SuGRzMxMfvTRR0xNTRU+zMaNGzMyMpIWi4UGg4F6vZ6RkZEcPHgwp06dyqFDh9Ji\nsdTJP+uGivxspQ1j165dOXDgQD744IOcMmUK09LS+PbbbzM9PZ0vv/xynSL2G6vVNJvNHDVqFD/7\n7LNqU8sOHjzIzp07U6VSiRX/ww8/LMRz/fr1DAgIoJeLC0OvF6RJvW79MF3Pc/b09OSECRMYERFB\nPz8/xsXF0eFw8Ny5c7x69SoNBgPvv/9+EZCnWAXc3NxotVqZlpbGDRs2CH/2vHnz6OXlxYyMDMbG\nxnLbtm0kydjYWO7YsaPW8y3545Hi+xdiwoQJNJvN9Pf3FxeJgwcPMjAwUJQd3L17N6OiohgZGcmG\nDRuya9eu3LdvH7Oysvjyyy+LqNt//vOfoj7trfgt5qvy8nL26NGDo0aNol6vZ5s2bTht2jRarVa2\nbNmSISEhXLdu3U3vk5SUxOXLl3PTpk1sajDUudevi4sLPTw8OGvWLD7xxBO0Wq309PS8ZYvEyuTk\n5PDf//43v/jii1v6WaOiooSfddasWVy2bBm3bdvGjIwMfvnll3UrKgLQD6CfySRyT9u1a8cVK1bw\nypUr1e5fWVmZuNg+/fTTYpVzI3FxcQwKCqKbmxu1Wi11Oh3d3d1vCrq71Xl7+eWXhei2aNFCBBZt\n27aNgwYNEkFV7du3Z1xcHP38/Ni5c2darVZR5tLX11cEuVVug+jj40Oj0SiqYIWFhdHFxYVWq5WN\n6xBj0Ph6fm2rVq04duxYvvPOOzxw4EC1xWV+TcDfqVOnOG/ePN511120Wq0cMWIE165de9P35+LF\ni0xKShJj6+LiwkGDBvHAgQMsLCzkM888I+qFm0wm9urVizExMTSZTDQajTQYDNywYQOPHj0qiqlo\nr6frjRo1SgQaajQaduvWrcoEyGKxsHXr1gwICKDRaBR1r4cNG8ZHHnmEs2bNYmlpKY1GY5VYD8l/\nDym+fxGKi4vFj3j58uUkKwKLfH19uWzZMubk5HD8+PH08vJiSEgIIyMjuX79em7fvp3Dhw+nu7s7\nR44cyZ07d942348izDNnzuTMmTPFqnXWrFkiraZ9+/aMiYlhgwYNaLVaOWfOnCpFFSozfvx4vvba\na5w5cyZT62AynATQqpgONRpGuLrShApfotI6raioiEePHuXmzZur5LMmJCQwIiKiYtXl5sbw8HB2\n69aN999/P6dNm8bFixfzq6++uqWftTJ1Tc96HOBM/KdK2NixY/nGG28wMTGRZrOZnTp1YlpaGg8e\nPHjTeTp9+jQHDRrERo0a8YsvvrhpH959910RAa7k9yr9XWuiuLiY+/btEz14GzRowKFDh4oqXIGB\ngf8xC18XgsqbYjZWUqoiIyPZu3dvtm3blgDYqVMnpqenc+vWrdy+fTt37tzJr7/+muvWrePo0aPp\ncDgqyjTW4Xw/rtFw+vTp3LlzJ+fNm8fhw4eLHOIOHTpw4sSJXLp0KQ8fPszy8vLf5Do5c+YMFyxY\nwE6dOtHDw4PDhg3j6tWrq0x4ioqK+OijjwoRdHFxYZcuXbh161b+9NNPjI+PZ/PmzdmlSxc2a9aM\n48aNE92NtFqt6GddXl7OPn36MCYmRhQKUSq5BQcHs0uXLnQ6nXz00UfFeKvVas6aNUu0WPT19eWY\nMWMYFhbGCRMm0OFwSN/unwQVSUJyx7Ny5UqMGjUKDRo0wJEjR/DVV19h+PDhePfdd1FYWIgJEybA\naDSivLwczz77LEpKSrBo0SKUlZVh3LhxGDlyJLy8vG7b/mzduhXjRoyAS24uehQVAQDWG43INxpx\nqagIhYWFaNasGTIyMqDRaDBw4EDMnDkTNputxvecNm0anE4n1Go1rk6fjrm17MNkAF4Apl7/mwDW\nAxisVsOvcWPk5OQgNzcXdrsdDocDDocDQUFB4r7yt4eHB1QqFcrKynD16lXk5uYiNzdX3K/usRuf\nP3XqFEbn5NS6z08A8AQwBcAXAFIDA3H41CmoVCoUFRVh69at+Pzzz/HZZ59BrVYjMTERiYmJ6NKl\nC4xGIwBgw4YNSElJQcuWLTFv3jwEBATg888/xyMPPABcvIj+1z9rDYACV1d0TkyE2WxGdnY2srOz\nceXKFVy+fBlZWVkoKysDALi7u4vxcHd3R3FxMQ4dOoSjR4+ipktI586d4e7ujv3790Oj0aB58+Y4\ne/Ysfv75Z1y7dg2lpaVQq9UAABcXF2i1WqjVapBEWVkZCgsLAQA6nQ4Pl5XVPnYaDTz/8Q9MmTKl\nyuO5ubnYv38/9u7di3379mHv3r3Izs5Gq1at4Ovri283boSlpAQ9i4uhQsX3tNTDA2++/z7i4+Nr\n/Lzz58/jk08+QXp6Ovbv34+ePXsiKSkJPXv2FL+1efPmYebMmbhy5QpcXFwQHByM6dOno6ioCE88\n8QQiIiJw4MABDBw4EKtXr0ZWVhbUajV69eqFFStWQKVSoUePHoiNjUXfvn3RpUsXWCwWXL16FWq1\nGjNmzMCwYcPg4eGB1q1b49ixY1Cr1YiLi8P27dthUqngp1Khz/XfzVq1GmqbDW8uXXrLY5P88Ujx\nvUMhiS1btuC7774DACxevBgZGRnYsmULzp8/jwkTJuD111/HwoULceDAAZDE6NGjceXKFaxZswY9\nevTAuHHj0LlzZ6hUqtu6b1u3bsXg3r3xXmEhEgAo766IXxIAlckEp9OJ8PBwvPXWW2jVqlWtx/vI\nI4/gu+++g6urKzK/+QZHnU7UtOcEEAVgHoC7b3juCwAPurvj2bQ0qFQq5Ofn10lQS0tL4e7uDovF\nAnd39xrvV/fYwYMHkTZ2LP6noKDO+0wAUSYT5n36Ke6++24UFxfjypUrQiQPHDiAbdu2Yf/+/Th9\n+jT8/f3h4+MDV1dXFBQUICMjA1euXAEAuJH4CKj2fAzRaNCxZ0/Y7Xbk5OTg8OHDOHr0KCwWCxwO\nB3Q6HS5cuICsrCwUFhaivLxc7LNKpQJJuAHwBaoIe77RiPDYWJjNZuzYsQOlpaUoLS2F0WhESUkJ\n1Go11Go1EhISYLfbYbfbERAQALvdjs8//xxffvklwsPD8fDDD+OxAQNwID//1mNXaaxqIysrSwjx\n3r17sXPnThQXFyMwMBCtW7dGUlISWrdujYCAgFrfCwAuXLiA1atXIz09Hfv27UOPHj0wcOBA9OrV\nC66urli+fDmmTp2K06dPQ6/Xw8PDA48//jiOHDmCTz/9FDabDTqdDlarFVu2bIFarUajRo2wefNm\nmEwmxMXF4cEHH8SmTZuwc+dO5OTkwNfXF+Hh4Th8+DDsdjtCQ0ORkZGBo0eP4urVq3ADsKqGcz7K\n1RUrP/tMCvB/ESm+dyA3rioJ4OPycuTodBg5fjxWrVqFvn374r333gNJdOrUCRcuXEBubi7Gjh2L\n0aNH33KF+XsgiXCHA/POnEHPGl7zBYC/q1R44/33MWzYsGrFPzc3F5mZmcjIyMAXX3yBT5YuhaWo\nCH2cThDAuwCWA7f8jFQAh4GbLtgE0ESjQUBcHEJCQuoknu7u7jAajb95okISTR0OvFrLuNy4z6kA\nFlssKCsrQ3l5Odzd3WEymeDq6gqj0QiDwQCdTofy8nJcuXIFWVlZyMrKgl6vh7u7OzQaDXJOn8ZH\ntYzVcJ0OWg8PFBQUoEGDBtDpdLh06RIuXboEVrin4OXlhZCQEDRv3hx2ux0GgwE//PADvkxPx0qn\ns9qL/N/VajSJicHhw4ehVqsxZMgQPP/88/D19UV6ejqGDx+O4uJiaLVasT/Z2dlo3LgxVCoVDh48\nCH9//7qNXSUrwW/h7NmzVVbHe/fuhYuLC1q3bo3Y2FhxW5uF6NKlS1izZg1WrVqFPXv2oFu3bkhK\nSkKvXr2wZ88eTJo0CUeOHIFKpYKLiwsGDRqEPXv2oKysDBcuXEDPnj2xcuVKAICbmxvWrVuHhg0b\nIi4uDjNnzsSYMWPg6uqK/Px89OnTB6tWrcLOnTsxY8YM7NmzBz4+Psg5fRoflJX9oeMl+X1I8b3D\nqG1VOUilgtpsRmFhIRo0aICsrCzEx8dj3Lhx6NatmzDz/VFs3rwZqf3717pKCdfpEHR91Z2VlYUr\nV64gLy8PhYWFKCkpEaZMZVV14wx+CypW0EtRISqVx+FLAMkAVgKoaV7/GID06yZmlUp1y02tVt/0\nGElcu3YNZWVlKCsrq3Jf2UpLS1FSUiJWfCUlJTA6nUII67LPqQBeBaDRaKDX68VmMBiq/Vu5LSgo\nQFZWFjIzM+Gbn49juHkSUvl8NAbwi1oNp9MJANDr9XBxcYHBYABJFBUVobi4GCaTqcrE5Mj332Np\ncXGtE60JU6fC3d0daWlpGDBgAOLi4lBeXo4HH3wQjzzyCGJiYsTYfvjhh9i+fTuGDBmCrl27QqVS\n4dChQ1gwaxaWlpZWO3YjDAZMfv55REVF1Xru6roBwLlz53D48GEcOXIEP/30Ew4fPgwPDw9EREQg\nIiICLVq0QLNmzWA2m6t9j5ycHGzatAnr16/H/v37ERcXh8TERPj6+uLVV1/F/v37hSslMjISR48e\nhdlshs1mwy+//ILs7Gzo9XpMnz4dHTp0wL333otevXph2bJlcDqdMBgMOHfuHIxGI1599VVcvHgR\nISEhWJCaisOlpbfNUiC5/UjxvYOo66pysEoFo7c3UlJScP/99yMwMPBXfU5Nvs26+DkzMzPr5NtU\nVnQhISHw8/NDQEAAgoKCEBwcjNDQUDgcDri7uyMmLKzG492KCsHSAvibRgMVgLUaDXJLS/EhahZe\nAJisViPvgQfQr1+/Ksd09epVZGdn4/Lly8InfPXqVeTn56OgoABFRUVicqDVaoWfUhFkp9OJ8vJy\nXLt2DeXl5TAYDHBxcYHRaISrqytIIuf0aXiWl6Ov0wkNgA0ASgG8ecM+E0BTvR7dx45F06ZNxQpU\n2ZxO502P3bht3boVEV99hVdq+ZmnApinUgkx1+l0N23KxE25ZBQUFMBw5gz+l7zlRb4RgFNqNXx8\nfKBSqXDx4kVYrVa4uLjg/PnzUKvVcHFxAQCo1Wrk5uZCp9MJX7vyeSUlJWB+Prydzirm7SyVCnRz\ng06nqzJpu9VtbY/VdF+ZnNw49gBuEu7K+668R+XX/5FMAn6zj1xSP2hrf4nkz8KWLVvgkpuLhFu8\npieAQL0ej82ciebNm+PQoUPYtWtXnQODcnNzUVZWBovFckvfpoeHBxo0aHCTqfaDDz4A584FKvkF\na6K0tBQ//fQTcnJykJeXJ3yvWVlZOHXqFM6dOwdDTk6NxxsPIANAiIsLTvfvXxF0kp+PvR99hC6l\npTV+LgF84nQi4623sHjxYiGeinCq1WoYDAa4urrCzc0NZrMZDocDVqsVnp6e8PHxgaenpzhuZTOb\nzVX+rslMTRKbN2/GkHvvRe+rWMKubAAACPVJREFUVzHv+rHc+MovAcDXF/Pnz//NpkGn04krmzbV\n6Xz4+vrCbDajuLgYRUVFyMvLQ1FREXQ6nTBzK5MIxW/b7xbCi+vH9DcAr10X1fj4eHTo0AFz5szB\nwIED8fH778NSVIQB1/fvUwDlAFJSU3H33XdXETLl/oEDB/Dzzz8DACY0bYqYmBhxDiu/tjox/C2P\n1fbaa9eu4fjx4/j3v/8ttmPHjiE4OBiRkZGIiopCVFQUwsPDYTAYoFKpcPXqVXz11Vf4/PPPsWvX\nLkRFReHatWsiPqOsrExYO/z9/UUgVUhICEaNGoV58+YhOzsb5eXl6N27Nx566CFMnz4d3t7e8PHx\ngXrpUuD6REHy50SufO8gZs2ahSvPPouXarmQpgJY5uOD4ODgXx0Y9Ht9m3U1Oysmr7Zt2+Ls2bM4\nffo0zpw5I7bTp09j7969SDp9uk6r6Fcr/W0CavVxjnZzw4OTJsFms8Hb2xs2mw3+/v7w8/ODyWSq\n4oP8o1BcCEsKC6s3Q9+GoJhfez5uNEGSREFBgbAKVLYQLF++HA1Xr8bLtVzkK5vOy8vLodFoYLVa\nUZSVVWNA0HC9Hk/MmIGOHTtWmeSYzeY/3HVyOyguLsaPP/5YxYeckZGB5s2bC/9x69atER4ejvz8\nfKxbtw7p6enYtGkTfH19cfbsWej1euTl5UGlUkGr1QpXh8lkQlJSElauXInCwkK4AWhsMuGeggKo\nVCp8aTDgbHExPiZvCjZUkGbn/z5SfO8g6iq+/01zUp0Di+oQ7FHX430MwNqQEPj7+6OkpASXL1/G\nxRMnsIKsVtQGAyjR6cT+VjYh3ojiN1Q2jUYjNsXsXNk0W9kHq5iclU1ZOSqrR1dXV5w5cwarly6F\nubgYva6v1te7uKDYYsHsBQtw9913Cz+uVqv91ZOi23k+buTXCPvc1avRtm1b7NixAxMnTsS5Y8ew\nCreeII00GBDSsiXy8vKE8BcUFMDNza2KZaa6+7d6zt3dHW5ubvUu4vn5+fjhhx+qCPL58+cRHR0t\nBFmJXv7ggw+wadMmOJ1O6PV6kXalTGC0Wi0CAwNx8eRJPIOKcVYBaIMKK8oGAMMBpKN694sMuPrv\nI8X3DuL3rmLqi9u1ovs9x6tEhBtyc5FQKc+4tvxNp9OJkpIS5OfnIy8vT2z5+fliKygoQEFBAQoL\nC8VWVFQk/MHKbeVNCcCqHKCl+IWVSOby8vJafYKVA4k0Gg3UajW0Wq2YDOh0OnGrTASKi4tx/tgx\nLHc6qz0fw7Ra9Bs2DBEREXBzcxOb2WyGyWSCyWQSwVeVJxZ6vR6RjRr9amHftGkTHunTBwev59X+\nmvPqdDqFe6K61fiNf9d0v7CwECaT6TcLeGUR/z3ideXKFXz//fdVBDkvLw+xsbGIjIxESUkJNm3a\nhJ9//hlarRbXrl0T/+uCivQuDwA9rj+2Hv+JHygCMB7ACQDKNON2WlUkvw8pvncQf+Qq5nbzW8Wv\nMr/3eJVc6L179wIA2rRpg/j4+Dtipq+YGIuLi1FSUoLi4mIUFhZWmQzk5eWJiUDlyYAyEVAilIuL\ni3H+/HlkHj4sAr0A4FOVClkqFdQWC9RqtZgMXLt2Tfi/lclAdUFEyq0bUGME92AARh8fmM1mMRm4\nfPkyBp85g1dqGYPHNRronngCkydPFlYEjUZzW8a3vLxcrKhvJdK1PVdUVASz2fyrRfvG+66urmKM\nL1y4IIRYuXU6nTAajTh37pwQYDMqouOrzeMFsALAGJUKNBgw8HqxlF/7G5T8cUjxvcOoDz/h7eJ2\niN+ddLx/dn7r+VCsAcokoPJtYWEhtm/fjgWzZ8OtsBCJpaUgic91OuQaDGh/zz3w8vKqMhE4fPgw\n+p84Uav4pgJ4+7r/XflMJTJaEePK5v3aHrudr9fr9SLYqrJZ/LeuxktLS28SceW+ksZ09epVXLx4\nET/99BPyzp+v1WyfCqC3Wo2c0aMREhLyq8655I9Hiu8dyO1YVd5J/H873juRXyPsv9WdoFgDqpsE\nKLd1fez3vr6srOxXCXlt4q6kSSnuh8p540qOuBKFnpGRgbM7dtSa4hUFoKlajegXX5TpRH9CpPje\nodzJJtXfwv+34/0rcye5T2qisjWgvicDly9fxpj8/FqzAB4HsFSvx4dffikjmv+ESPGVSCT1jnQn\n/HZmzZqF7GefxZxasgAmA3jPYsHFnJw/5QTm/zt//oQ5iUTylyM+Ph4rP/sMk+x2RJlMeEKjwRMa\nDaJMJqQGBkrhvQVt2rTBV0YjbrVqIoBPAEx57jkpvH9S5MpXIpH815DuhF9PXc32Kd7eOHHxohzL\nPylSfCUSieQOQ5rt73yk+EokEskdiMwCuLOR4iuRSCR3KNJsf+cixVcikUgkknpGRjtLJBKJRFLP\nSPGVSCQSiaSekeIrkUgkEkk9I8VXIpFIJJJ6RoqvRCKRSCT1jBRfiUQikUjqGSm+EolEIpHUM1J8\nJRKJRCKpZ6T4SiQSiURSz0jxlUgkEomknpHiK5FIJBJJPSPFVyKRSCSSekaKr0QikUgk9YwUX4lE\nIpFI6hkpvhKJRCKR1DNSfCUSiUQiqWek+EokEolEUs9I8ZVIJBKJpJ6R4iuRSCQSST0jxVcikUgk\nknpGiq9EIpFIJPWMFF+JRCKRSOoZKb4SiUQikdQzUnwlEolEIqlnpPhKJBKJRFLPSPGVSCQSiaSe\nkeIrkUgkEkk9I8VXIpFIJJJ6RoqvRCKRSCT1jBRfiUQikUjqGSm+EolEIpHUM1J8JRKJRCKpZ6T4\nSiQSiURSz0jxlUgkEomknpHiK5FIJBJJPSPFVyKRSCSSekaKr0QikUgk9YwUX4lEIpFI6hkpvhKJ\nRCKR1DNSfCUSiUQiqWek+EokEolEUs9I8ZVIJBKJpJ6R4iuRSCQSST0jxVcikUgkknpGiq9EIpFI\nJPWMFF+JRCKRSOoZKb4SiUQikdQzUnwlEolEIqlnpPhKJBKJRFLPSPGVSCQSiaSekeIrkUgkEkk9\nI8VXIpFIJJJ6RoqvRCKRSCT1jBRfiUQikUjqGSm+EolEIpHUM/8HqOpLCSpXmMQAAAAASUVORK5C\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110ac94e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Another way to draw the graph\n",
"nx.draw(binomial_G, node_size=100, pos=nx.random_layout(binomial_G))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Name: gnp_random_graph(100,0.1)\n",
"Type: Graph\n",
"Number of nodes: 100\n",
"Number of edges: 533\n",
"Average degree: 10.6600\n"
]
}
],
"source": [
"print(nx.info(binomial_G))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Container object of 15 artists>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1113aa860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree distribution\n",
"degree_dist = nx.degree(binomial_G)\n",
"degree_freq_dist = Counter(list(degree_dist.values()))\n",
"plt.bar(list(degree_freq_dist.keys()), list(degree_freq_dist.values()), align='center')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 5., 4., 18., 11., 7., 30., 8., 10., 3., 4.]),\n",
" array([ 0.04040404, 0.05454545, 0.06868687, 0.08282828, 0.0969697 ,\n",
" 0.11111111, 0.12525253, 0.13939394, 0.15353535, 0.16767677,\n",
" 0.18181818]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1113b2828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree centrality\n",
"degree_centrality = nx.degree_centrality(binomial_G)\n",
"plt.hist(list(degree_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 14., 20., 11., 23., 12., 7., 3., 3., 4., 3.]),\n",
" array([ 0.00193804, 0.00491288, 0.00788772, 0.01086256, 0.0138374 ,\n",
" 0.01681224, 0.01978707, 0.02276191, 0.02573675, 0.02871159,\n",
" 0.03168643]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AP9my/TqM/6j8uxp/L5iSpMb5VYKS1DiLXpIaZ9FLUuMseklqnEUvSY2z6CWpcRa9JDXO\nopekxv0vK4GcmVmxcxwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111656748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Betweenness centrality\n",
"betweenness_centrality = nx.betweenness_centrality(binomial_G)\n",
"plt.hist(list(betweenness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 1., 3., 10., 9., 11., 15., 18., 18., 8., 7.]),\n",
" array([ 0.38223938, 0.39612071, 0.41000203, 0.42388336, 0.43776468,\n",
" 0.45164601, 0.46552733, 0.47940866, 0.49328998, 0.50717131,\n",
" 0.52105263]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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OO9PX/Ctw4vTxXwA/tdMe+upz3XZ/C7wLeNpOXjuAPk8HHjRdPpnJ5x699zlPj+ue+yXg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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11166c940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Closeness centrality\n",
"closeness_centrality = nx.closeness_centrality(binomial_G)\n",
"plt.hist(list(closeness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 3., 3., 11., 12., 16., 24., 12., 9., 7., 3.]),\n",
" array([ 0. , 0.02, 0.04, 0.06, 0.08, 0.1 , 0.12, 0.14, 0.16,\n",
" 0.18, 0.2 ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x110aa5860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Clustering coefficient\n",
"clustering = nx.clustering(binomial_G)\n",
"plt.hist(list(clustering.values()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# Poisson graph"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n",
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
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DkSaiNHxrGoaUAOA1AEajEXl5efAymWDOzcVARYGiKPjEasV5ADkA3nnnHSxf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"text/plain": [
"<matplotlib.figure.Figure at 0x111697a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Poisson graph\n",
"def poissongraph(n,mu):\n",
" z= np.zeros(n) #n is number of nodes\n",
" for i in range(n):\n",
" z[i]=poisson.rvs(mu) #mu is the expected value\n",
" G = nx.expected_degree_graph(z)\n",
" return G\n",
"poisson_G = nx.Graph(poissongraph(num_nodes, 10))\n",
"nx.draw(poisson_G, node_size=100)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n",
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": 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FjJGK3aX8fj9rASlm6hIR3G43a1Qhuh/FbGWJRMLcrqGhobDZbIiKikJcXBwS\nExPx7LPP4vbbb8eCBQvY2IkIpaWlrXYAO3v2LGpra6HVajF8+HD06NGjmTjPnDkTK1aswOuvv45d\nu3ahrq4OFy9ebNZ6lIiwdu1aPPLII7j33nvxj3/8A8uWLUNWVhY2vPZa252yJBJow8NhMBgglUpR\nmJ0Nk9/fPCcAgFsuR2RkJGpraxvzFACEh4ezRShSUlJw8eJFbN++HVlZWc1i5UajET179kR2djbu\nuusuPPvoo222eJ3/KycZ+Xw+HD58GB999BE+/PBD5ObmMis3IiIC06dPxx133AGbzYbJkydj+/bt\nrENZe9/P2VIpJs2ejbi4OJw4cQLbt2+Hzens0AvQ0frinI7h4nuZ0bLNZJ7fj60A3kNjwtVMAOvQ\nsdUnlUphs9mwdu1a3HPPPcjKysJzzz2HlStX4umnn8bNN9/cLDtW7BX89ddfM/egKMii0AUnSlWg\nUegMBgMTgoaGhmb7IpVKcdVVV2HSpEk4duwYNm7cCGVTFrIYjwwPD8fKlStx++23w+FwoKysDCaT\nCTNnzsTGjRtx3333YfXq1SguLkZ6ejry8vJQV1cHhULBMnY7gyAIGDZsGAYNGoR9+/bhwIEDMBgM\nrJ2iw+GA3W6Hy+W6xNUdjEQiaebCl8vlaGhogK+mBmFonjBU0XQ+BEFAREQE+vTpA6vVyhY8KC4u\nxqFDh/Ddd99h8ODBuPrqq+FyuZCZmYlTp06hpqaGrV4krngkZg+HhITAYrEwgdXr9QgEAnA6nSx7\nuqamBtXV1axJhni8RKtTrVYzsRZXUBLF2uFwYNWqVfjDH/6AqVOnorq6Gvn5+cy1ffbsWRQXFyMp\nKQk+nw+uppaoS5cuxfTp05GQkNBsecItW7Zg8uTJ6Nu3L5544glMGT0aGztwJ98eGor4tDR8/fXX\n8Pl8WLp0Kd555x1WGhcIBKBQKJCWloZhw4bBarXi22+/xfbt29GtWzd4PB6cP38eer0eZrMZ1dXV\ncFZUNPsui4l9WqsVFosFJTk5MPt8mOj3A0T4RBDgMRhw0x//iMGDB8NgMLBcAHGBitZitT8VIkJ2\ndja++uor/Oc//8HBgweZi1kikaBPnz5YsGABZs6cCYPBgIKCAjbRDgQCbGInnm8tAAsR2++vNBq4\nQkIwYORI7N27F2azGR6PB9nZ2dDhf2Ld1rmZLZHgo23buPj+BLj4XoaIxe2ZmZl44YUXUF9fD8Hp\nhBVAf4m/ScT1AAAgAElEQVQEu5tms5PReGFtEgTUyOW42Eq2p0ajgdvtRmVlJYxGI06cOIGbbroJ\nUVFReO211xAREdHq548fPx7ffPMN4HB0qoGERCKBukVilGidOJsSSpKSklBeXs4ScEwmExwOB3MD\niy5JlUoFh8OBcePG4bXXXsPAgQNhs9mgUChw7tw5KJVKVFRUwOVyQS6X47bbbsP69etht9uhUChg\ns9lw4cKFS6x5kZaTiWChVCgU0Gq1MJlMsDbdkCMiImCxWC6piXU6naivr0dNTQ22bdsGrVaLuro6\nlnUbGRkJIkJZWRlztep0OnbTVqvVkEqlbNJRU1MDv98PtVoNm80Gs9nMXM/l5eVwu91ISUlBREQE\nlEolqqqqkJ+fj+LiYmg0GoSEhDCLX7TYw8LCEB4ejqKiIiQmJmLIkCGQyWRsvWFRpKuqqlBZWYnq\n6moW3xYnF4FAAF6vF0SEkJAQmEwmyOVylJeXY+TIkfj+++9RWVkJt9sNhUIBlUqF8vJyhIaGspWl\ntm3bhoEDB+L48eMoKytDkkTSYQ15D6US5/x+DBw4ECdOnEB4eDhbf3rJkiVs+89//oPvvvsOZ86c\nwYYNG/Dvf/8bPp8PUqkUzzzzDORyOR544AHUlZS02a1thkQCj1yOHj16wGKxsASnb775BrNnz4bb\n7W41Du5wOJol57UU584+VqlUKCoqwo4dO/DZZ59h+/btcLlcrO5crVZj9OjRGDduHAwGA3JycvD9\n998jOzsbWVlZLBlPpVJBIpGwCbHVasWoUaPw+eefIz4+Hna7nS1FKpFIMGfOHNTX1+Of//wnAoEA\n5s6di7Fjx2LxnDlthnbmozEE9jwvOfpJcPG9zLn55pvx/vvvw2q1orCwECNHjkRmZiaL8QiCgDvv\nvBOHDh1Cbm4uK2dpTXh69eqFe++9FzfccAOefPJJvPLKK1i9ejVmzJjBrOC9e/fiiSeewLFjx+As\nL8d7HcTBZstk6H7llcg6eLBNF2KwSOv1elxxxRWQyWQ4ceIEDAYD0tPTcfLkycbszKCxi8lAgUAA\ncXFxSEhIYN265HI5K2P6IbTXjWo6gIT0dMyZMwe9evWC0+lstuRfWz8rKipQV1fHOjh5vV7U1NSg\ne/fuMJlMcDqdOHHiBARBYI0txD7HwP/KchQKBUJCQhAIBFDXVDLWq1cv9O/fHxqNBgUFBcjKykJu\nbi7Kysrg9/shlUrh9XpZFyoxEUx0F0dERECv1+P48eNYsGABFAoF26/y8nKUlZWhrKwMdrsdoaGh\n8Hq9cLvdGD58OMLDw9mqT16vl7mVy8vLkZubyyZNYva36EJPTk5m8fOamhrm/hezev1+f6ebdbyk\nUOD666/HmjVrEBYWBofDgX79+uGvf/0rDhw4gFdffRXx8fEoKytDREQEZs2ahVmzZiExMREPPPAA\nVq9e3ZjxDuDV6up2v8t3RUbisRdewKeffootW7YgOTkZdrsdt956K5YtW9ZqrFc8V+0lqrX1uLq6\nGhcvXkR9fT27VoOvW5lMBoPBAJVKBZfLhdraWphMJsTExCAhIQHx8fHYtm0bTpw4AZlMhgULFmDd\nunVwu91QqVSIjIxkK1bt3bsXSqUS5eXlSE5OxuDBgzF+/HjMnz8ftbW1SE1Nxfbt2xEaGoqhQ4ei\nT58+2PjGG4gMBDChaV+D19geicsvDv5bg4vvZc6qVauwatUqNnutr6/H0KFDsW3bNsjlciQmJiI7\nOxtLlixBQUEBNm/eDKlUylypwYSHh6OiogJyuRxjxozBzJkz8fjjjyMtLQ1Tp07FSy+9hKKiItx/\n//2IiYnBfdOm4YTD0WGCV51Wi3U/IulIqVQC+F+NsBij+rFotVqYzWYUFBRAo9FgwIABuHjxIk6d\nOtXYVYoI//J42h3nEpMJiRkZyMrKwrx587BgwQL06NGj3c+dM2cO+vbti0WLFsFut+P999/HypUr\nMWbMGIwZMwY1NTXYv38/Pv74Y0gkEiQmJiIyMpK5hauqqlBbW4uGhgbWrCS4JCUYUaBNJhMrVaqv\nr0dubi6USiXS09NZclhZWRlOnz6NvXv3MlEVS1pEwRZd12q1GkePHoVOp8Pw4cNZfF6MMYtlY2Vl\nZaiuroYgCCz5q7a2FmVlZaioqIBKpULPnj3h8/lw/vx52O12tgqW1WrF6dOnYbVaMb2oqEPxvVcq\nxY6MDJw7dw6xsbG44447MGfOHHz99deYNm0aIiMjmSdEqVRi27Zt6NOnDzZs2IDHHnsMNpsNf/3r\nX7Fx40Z8/eabPyiO6fV68c033+DJJ5/Et99+y2KpkydPxtVXX93mUp7t0dDQwNziX375Jb777juo\n1WrU1dWx9blFT0NkZCRiYmJgsVhgMBig1WqhUChYeOTo0aPIyckB8L/SIzGsIJZUiet5V1VVAQAT\nbJVKha+//houlwsqlQpPPPEEJk2aBL1ej/vuuw9OpxOLFi3C3VOm4HmHA4eaxj8AjaIbPGnlsd8f\nDxffy5wdO3bg1ltvxbhx4/Duu++CiJCYmIjTp0/D5/NBp9PhySefxJ133okBAwagtrYWed99B5tE\n0qwMRHSrymQyDBkyBLm5ubhw4QJCQkLg9/vh8XiwdOlSPPPMM5DJZFixYgWqH3oIz7STaAQ0Wifr\n0ehe/iHlDD8F8cYikUigUCgQERHB3MzBYhUc9wI6V3aRIpXC3LcvVCoVCgsLUVhYCI1Gg5iYGERE\nRLAMcRG32409e/ZgxIgRLCmqrq4Ohw4dgk6nQ//+/dlrxWUMfT4fYmJikJTUmMIm1nu27Cst/nQ4\nHKisrGTu4JZ1yZ1Bo9EwYRdv9GLmt3jcNBoNs8zF74TX64XH42GtJ8W6UpfLxZKhfD4fnE4n24+W\n4xLrUd1uN/t7ZztKeaKiUFxcjMTERBQXF8PpdEIikbCadbEmu6ioiImQUqlEUlISQkNDAQBHjx7F\njRUVHYr9PYKAXb17Iz09vdn5/eijjzB69GgUFRWhoKAADocD0dHRiImJQWRkZJtrWwcCAVRVVbFe\n5zU1New8Bx8fjUYDm82G2NhYhIWFsZK3YETLsqysDDt37mRu5SuvvBKBQACHDx9mi4k0NDSw2m6N\nRsPyBMTJlOgxEvt2i2EUMd9BFO+lPh/Pev4F4U02LnMyMjJQWVmJzMxMTJ06Ffv378fZs2fh9Xoh\nk8lgsVhw9uxZHD9+HAMGDIDE6Wx0qwbF01bif+5fQaXC7t27IZVKYTAYIJPJ2EX30ksv4cCBA/j0\n009/0Bh7oOPmH/8Prdcf/xhE6zgQCKChoQG5ubmtvq6l1diZLkYT/X680NRIXsyMra2txalTp3Dy\n5ElIJBLWN1n8DCJqbLgRlEkrrgq0f/9+9l7i34FGIS4oKIBarWaiFfy6lkgkEphMJvh8PjQ0NMDt\ndrOkKbGtYstGD8E3eXEJP/EzWhPt4NcEf67Y0EGpVDJxFSdALZtGtIY4HhGZTIZyn6/DTlllRHAV\nFyMQCDArDwCb4AiCALfbjerqagCAx+OBVqtFaGgoi2WXlZV1Ojwh5iWIVpy4P8ePH0dycjKmTZsG\noLFj3NGjR3H06FH897//Rffu3dGrVy9ERESgsLCQLVZSU1PDJolExERNqVSiT58+GDRoELp164az\nZ8+y73BcXBxSU1Mv6V7mcrnwyiuvICsrCyqVComJiZg/fz4+//xzHD58GFqtFl6vF06nE0lJSXC7\n3bjnnnvw4IMPIioqCkqlkjXeiYiIQE1NDZ577jn2OefOncPatWuxbNkymEwmbN68GcLWrZ06bpwf\nBxffyxyLxQKtVousrCw8/fTT2LlzJxQKBWvLd+HCBaxfv77xIjMYsLqdtnAbAUyvr4e8qdRHTLyY\nM2cORo8ejZdffhn79u1DWFgYunfvDplSiaedznatk48B9P0J+ycIAkwmE3NvAmgzk1kikUCtVkMQ\nBDgcjlZv9mLiUXl5ebM4WkhICFBb26kxyWQyWK1WZtG53W4mHmJ3JqDRsg4EAqz3c7C7T9wXl8sF\nj8fDhNJoNMJut8NoNLJknZSUFLayUPDW3t8kEgkOHz6Mbdu2ITs7G9dddx1mzZqFq666io2nqqoK\n3bt3x4cffojq6mrs2bMHBw4cQE5ODqqqqpggJCUloUePHggLC2PHvry8HHl5eSgtLWUucfHYiB6H\nkJAQOJ1Odi5aZtjqdDqYTCbU1dWhuroa6enpSEpKQllZGQ4dOoRpXm+7JVoOAIomS1sqlcJsNrPv\niSi+4ueJzUYcDgdyc3Mhl8vh8/mg1+uh1Wqxqaysw05ZXyiVuKopCz14BZ+6ujocPnwY8+fPh8Ph\nQHZ2NsLDwxEfH4/MzExkZmbi+PHjbL81Gg2zQkNDQ2G325GUlITp06dj0qRJSE9PhyAIbS5e8HmL\nxQueeOIJ/O1vf2MNV1asWIHJkydjyJAhyMvLg1QqhcViQUFBATZs2IClS5di//792LJlC7p3744j\nR46wieFLL72EJUuWwGw24/rrr2/M8C4pQb9+/fDuu+/i4sWL+Pvf/468vDycAfBcB8fsS7UaqwYM\n6NR1xWkOdzv/BhgzZgyKioqwevVq3HXXXVAoFDhy5Aji4uJYCU56ejqOfvhhh03URfdv3759UV5e\nDolEguLiYgBA9+7dkZqaiszMTFy4cIElJ3VYVwzgPDp2O7vCw2G1WvHdd981i+1KJBJWCiKXy1nW\nc/DNXGyDeejQIXTr1g0VFRWora3F6tWrsX37dmzduhWVlZXs/Vprv/hDuv1IpVLExsZi2rRp6Nat\nG8skdrlcuHjxIg4cOICdO3eitLQURqMRCoUC9fX1jYtIaLVoaGhgZUlKpZKtkSvW7VZUVCAuLg4l\nJSWIjo5Gr169oGxaHCB4RSVxX0SLV3wfl8vFNrvdztzSoqB6vV5mtZpMpmbiLZFIcPr0aahUKhgM\nBhZzFld98vv9cDqd0Ol0CA8PZyVIOp0O9fX12LJlC3NTBq/2FDxpksvlMBgMqK6uZgKfmpoKuVyO\nL7/8komnppWezmKIRK/XswmKy+VCWloaiAhVVVUoKSlh501M6GqN4FrXjr7LswHc0vQ/WxQK1KvV\nmDR7NhoaGvD222/DZrOhvLycZd6LmcMJCQnQaDQ4e/Ysy5Kur6+HWq3GkCFD8Mc//hETJkxoFrLo\nzOIFD65Ygaeeegrl5eWwWq244oorcOONN+Ljjz/Gp59+CiLCddddh27duuHll1/Gv/71L6xcuRLz\n5s1DWloarr32Wnb9LFy4EG+99RZcLhcrAXz22Wdx5ZVXIiMjA1VVVcyDADTW03uqqjosOeIJVz8e\nLr6/Ae655x4cPnwYI0eORGhoKD755BPs2LEDSqUSCQkJKCsrg8fjwW0NDXi2EzHaYPevWq1GIBCA\nxWJBaWkpBEFARkYGFixYgHfffRcn9u/vsJuUQSptdclAEbGLTu8hQ/D1119Dp9Mxywto7gaVSCQw\nGo3M4gSA1NRUVj6TkZGBvLw85oZUq9WIj49njTQ+/PBD1NbWsg5eYWFhKC0tBYBOTyZaJobJ5XIY\njUZmcYpiWF5ezlyvomVhNpthtVpZ0xGPx4O4uDiW/VtXV8eWOBR7LJeXlyM8PBwpKSlswtHQ0MCS\nsaqrq+H3+2E2m1miVcufZrMZRqMRpaWl2L17N3bv3g2Xy4XHHnsMs2bNQiAQgMvlwq5du/Dggw9i\n9uzZGDt2LHOP2+12ZGdn4/vvv8fZs2dRVlYGs9nMJh0NDQ0oLy9nsV2RttqAiudVjIPbbDYAYHXH\nAC6xlImIdRbLzc2FIAiYOnUqjh07hnPnzmHgwIE4c+ZM4zmor0eoz4cJPl+rTVYAQKVSQafTsexv\nHdpfPesDNF+asmWmvtgJzWQysUYt5eXliIyMZNngkyZNwqRJkzBmzBicOXMGmzZtwqZNm1BWVoaJ\nEydi8uTJGDVqFPqkpHS41N90AKGxsbDb7Rg4cCBOnjwJg8GAc+fOwev1Ys2aNfB6vbjvvvvw1FNP\nweVy4csvv4RCocCePXsQCARgMBhwxx134MYbb8SYMWOQm5sLt9uNkSNHIicnp7GvdRMWiwXXXXcd\ntm/fzs5HXUkJ3mujj/ev3Xjktw4X398A69evx1tvvQW5XI4PPvgA8fHxaGhoYOvCVlVVwWq1YmZJ\nSacWOt8/cCBOnToFp9PJslBLSkpwyy23oKamBu+++y6kUin69++PpKQkbHzzTYRLJJgYdKOzy+Wo\nbqpBJCLoJRJsaCpLak2k3TIZrr32Wqxbtw5vvfUWVq1aBYVCgeLi4maxWTEbV8zSFL+e8fHx6NGj\nB44fPw6LxYLs7GxERkaivLwcixcvxtChQ1FWVobjx4/j9ddfh0qlalbCATTePJU+X4euztZQKBQY\nOnQoUlJSUFhYiOzsbJw9exahoaFITExEdHQ0ZDIZzp8/j6ysLCaIZ86cwVNPPcWaX4hlKRUVFThz\n5gwKCwuhb2qlCOASj4DYblIsJRKTZLRaLbNig9cjdrlccDgcKCgoYItZiC5gpVIJu92OwYMHIyUl\n5RLxDhZ0ANi4cSM+/PBDHDt2DG63G1KpFHFxcXA6ndi3bx9KSkqQk5ODY8eOYfXq1bBarc3c/ZGR\nkSgtLWVJPQaDgU2ExLG73W4kJCRgxIgReOONN5CQkIC6ujoEAgFcvHiRnbdgce+oXEzatJAHEbHJ\nQXJyMhwOB6oKCi5pGBMA8BbaXrays+1BJRIJVCoVa4ASExOD5ORkZGRkwGQyITs7G9u2bUNmZiai\nPB6c9vna9cIkAShVq2E2m3HTTTfBYDDgwQcfhN/vx6effgqn04k5c+bg1ltvxbRp0zB+/Hh2LQUC\nASxcuBDvvfcesrKycOTIEdx1110IBAI4f/58s+ti7ty5mDBhAl588UWUlJSgrq6Oldu98cYbOLJn\nD2sgI5VKsVWthsdoxNq33+bC+1MgzmXP4cOHqUePHhQSEkJer5fmz59PNpuN5HI5ASCbzUYWi4WS\nBIECjWvstLoFAIoHSKPR0F/+8hcKCQkhQRBowIABZDQaKT4+ngYPHkzffvstLVmyhDQaDRmNRurd\nuzelp6dTWFgYLVq0iFJTU0mn0xEa7xEkCAIBIKNcTvEA3dW0xQOkl0hILpeTVqtl28svv0y1tbX0\n2muvUWxsLEkkEvZecrmcBEEgqVTK/hYaGkpms5nUajWlpKSQXq8nNO1HQkIC9e/fnyIjI2n9+vXk\n9/vpqaeeotGjR9Mrr7xCarWaLBYLyWQy9n7aprEFjzNEEEgQBDYWlUpFYWFh7H+CN6VSSUajkaKj\no2nx4sX0xBNP0KpVq+jRRx+lm266iQYPHkxarZa9PjIykmbPnk3PPvssffjhh3T06FGy2+1ERHTP\nPffQtddeS4WFhdSzZ0966KGHyOFwUHFxMe3fv5/effddevzxx2nx4sU0ceJEGjBgACUmJpLJZCKp\nVMrGYrVaKSIigiIjIyk8PJwEQSC1Wk2CIJBSqWTHUy6Xk9VqpdTUVMrIyKCMjAxKS0uj1NRUio6O\nJoPBwL5XwfublJREvXv3JovFQiqVipRKJfXs2ZOmTJlCVquV9Ho9xcTEUEREBC1fvpzGjBlDBoOB\npk+fTlOnTiWj0djs+6JUKtl4MjIyaOXKlRQWFkZ79uyhsLAwcjgcFBcXx14/ceJE6tatG4VIJLSl\nne/4ZoB0rZwz8ZzK5XJKS0ujnj17kkQioWiJhPyduGbE73jwJpFISCqVklwuJ6lUShKJpNXXtbbd\n1c5nitvdAC1cuJC8Xi/df//9JJfLSalU0rFjx2jXrl2kUCho7Nix9Nhjj7FrRq1W06RJkygmJoY2\nbtxI8fHxlJiYyD5XoVCQWq2mmJgYkkqltG3bNlq8eDFZLBaaMmUKhYeH02effUZERE888QSNGDGC\nBEEgnU5HarWaVqxYQTt27KBAIPBr3hJ/F3DL9zeA2Fg/ISEB77zzDrxeL8aMGQOPx8PKQ+x2OwK1\ntfi3z9cpt6ogCLBarawJwrBhw2A0GvHNN9/A5/Nh7dq1GDJkCJ544gm8++67rFSlrq4OCxcuxNat\nWzF9+nSsWrWKWSgiGo0GERERyMvLY7FXiUQCg8GAfv36Ye/evTAYDFi+fDlmzJiB1NRUAGC9eQ0G\nA2siAgApKSm4/fbbsW/fPmzbtg01NTVQKpUIDQ1FcXExLBYLWzxerVZjwoQJ+Pbbb3Hvvfdi4MCB\nGDRoEAYOHIhvv/2WNewQXfWBQABhYWHweDwYNmwYjh07hoaGBhY/bjmWYMTPFS01QRBgMBgQHR2N\niIgIHDx4EKmpqaipqUFhYSGMRiOsVisaGhqQl5cHjUaDhIQEFBYWIioqCrNnz8Y//vEPTJw4Ec8/\n/3yHtaREhMrKSlYSVVhYiKKiIuzcuRNnzpxBWFgYLly4wBYW6NmzJwRBQFlZGQoLCxEeHo6wsDA4\nnU42npCQENaO0mq1snir2BTE4/Gw9ppE1Cw7WnS9B1vv4pKBwa+ZPn06amtrsWXLFiiVShgMBtTV\n1bGsZDFkIMaMg2uTu0mlOO33d1guVtDkIh40aBCKi4sxadIkvPHGG3A4HLDZbJBIJCgsLMSfiTrV\n7GNL9+6or6/HSy+9hMmTJ7MyrZbx9+C/2e12VFVV4eLFiygrK0NJSQmKiopw5swZ3GK3d6qMR/fw\nwzh48CC2bt0KvV6PkydPorKyEoMGDWLfJfH6S0lJwapVq3D//fcjLy+PeVNUKhVkMhm8Xi9uv/12\nXH/99ZgxYwbq6+uhVCoxefJk5OTkwOfzYcOGDYiOjgYA3HLLLdiwYQN8Ph8mTpzIumlxfiZ+TeXn\ndJ4ePXrQDTfcQKtWraJAIMAsX4PBQGq1mkJCQigqKopCBIE2N83Yg2fvm5ssPgBkMBiYhWcymdhs\n3Waz0erVq8lms1FISAhNnTqV7HY7XbhwgRYvXkw6nY5sNhtpNBqy2WxkMplo06ZNpFarm82uxffd\ntGkTjR8/vplFIJPJaObMmWQ2m2nYsGGk1WqpZ8+eVFFRQTqdrpmFKo5RKpWS0Wikxx9/nFwuF02d\nOpViY2MpLCyMpFIpRUREEADS6/XUrVs3UqlUzPKMjIykjIwM9r7icYuKiqKYmBgaMmQIs14EQSCr\n1Ur9+vWjxMRE6tWrV6OlrNXSuHHjWrVgLBYLxcXFkUKhIIPBQBEREWSz2ZpZemiy8IxGIxkMBlIq\nlTRixAh68803ac+ePfTqq69SWFgYXXXVVTRw4ECSyWQkkUgoKSmJxowZQ0uWLGnVam4Nn89HycnJ\ntHv3btq0aROFhYXRqlWr6OTJk7Ru3TqaP38+paenk0qlIplMxixiQRBIJpORVqulQYMG0bJly+il\nl16iTZs20eHDh6msrIy8Xi8ZjUbKysqiw4cPU3h4OGk0GvrDH/5Affr0oeHDh1NUVFSz/dbr9cwq\nBEBGo5H0en0zb0fw8x1tnbEY7wLo5ptvpscff5wmT55Mt9xyC3Xr1o3UajX17NmTlEolqVQqUigU\nnX6/oUOH0vLly+nuu+/+Qdet2+2mgwcP0qpVq2jcuHFkNptJIpFQQotrtDWLO02rpdjYWJJKpZSU\nlEQOh4Py8vJIp9ORXC5n1qggCDRu3DiKiYlpZuVLpVLS6/U0cuRIGjZsGK1du5a8Xi/16dOHQkND\nSSKR0CuvvEKRkZH04IMPktfrbTb2lJQU0mg0JJFIaO3atTRixIgfde/itA4X38uMQCBA27dvpyef\nfJKefPJJ2r59OwUCAZo+fTotWbKEbrjhBiIiuvPOOwkApaWlkdVqJbVazQQpLiyM0nU6ulcqpXul\nUkrX6ShUpWKuWkEQmCtXFClRIMULfeDAgaRQKCg0NJT27NlDRER5eXm0cOFC0ul0FBYWxtyHzz//\nPCkUCtJqtc3EU7z5TpkyhSIjI5n4CoJARqORtFotqdVqmjp1KpsE7NmzhxQKxSU3ZpVKRUOGDKGE\nhATKyMigzZs30+7du8loNFJERAQ9//zzNHXqVCYe8fHx7PNiY2PZhEB8X41GQ3feeSeNHj2a9Ho9\nRUVFkVQqJa1WS0ajkTQaDclkMho+fDjJ5XKSy+UUHh5O4eHhlwiCVCqlu+++m/Lz8+nAgQP0wQcf\n0PPPP09Go5GGDx9OgiAwwVEqlUzog4U5PDyc5HI5zZw5k9avX0+pqam0aNEi+vzzz2nNmjV01113\n0eTJkyk9PZ20Wi2FhoZS//79acaMGfTAAw/Qa6+9Rjt27KA1a9bQoEGD6MEHH6TIyEh67LHHaOHC\nhZSUlEQWi4VmzJhBr776KuXk5FB+fj4tX76cTCYTJSUlkdlspqSkJJo9ezYtX76clixZQhMmTKDe\nvXtTWFgYyeVykslk1Lt3b5LJZKRWq+n222+ne+65hyIjI0mpVNLYsWMJAK1Zs4asVispFAoSmlz6\noaGhtG7dOjp27BipVCoaPnw49e/fnx544AEyGo3NJgPid1KlUjU7Vp0Vy7Fjx9IjjzxCarWaVCoV\nqdVqNoFbtGgRxcbGkkql6rQIjh07lqxWK1ksFvL7/W1evwUFBfTBBx/QPffcQwMGDCClUkkmk4k0\nGg2ZzWbq1q1b47UCdOg+D2m6JocPH05+v58OHTpEqqbrWKFQkFKpbHZsxElxeHg4mUwmCg0NpTNn\nzhAR0YgRI+jtt9+m5ORkUqlU9P7775PJZCKLxULbtm27ZD/q6+tJIpGQWq0mrVZL77zzDs2cOfMX\nuOP934WL72XEzp07KSUqijJaCGf3qCi65ZZbaPHixWSz2SgQCNCpU6cIAD355JPMYktPT6fk5GQa\nM2YMbd++nVasWMFiNF999RWp1WoKDQ2l+Ph4UqvVpNFoSK/X07XXXksDBgxoNmtesGAB2Ww2UigU\nJJFIaNq0aeTxeIiIKDc3l4mwKKbR0dEEgB555BFmxYSEhFBaWhoZjUYSBIEJfcs45OjRo+nIkSOk\nUABRBI8AACAASURBVChIpVKxG3nwjVgUqWuuuYZkMhldffXVdOrUKXrkkUdo9uzZNGzYMEpJSaFn\nnnmGbrjhBiY8YmxRp9ORRqMhtVrdbGKQkpJCSqWSLBYLExfxRnbvvfdSSEgIaTQadtMLDQ1tFhsO\nttiUSiWtWbOGxcPGjx9PmzZtoiuuuIIyMzOpoaGBzp07R7t27aK3336bHn74YRo8eDCFhIS0aenJ\nZDKKjo6m4cOH07Jly2jXrl3kdDqprKyMxYT//ve/0/z582nw4MHNLFmpVEpxcXE0ceJEWrlyJR06\ndIiqq6tp//79NGPGDDKZTHTHHXfQ2bNniajRat62bRvNnj2b9Ho9XX/99fTZZ58xi+jZZ5+lnj17\nsvPdu3dvduwMBgOb2ImTDfG7IU48IiMjSa/XtxkXFa1v8fWCIJDJZKJu3boxb0BnxDK+6b0mT55M\nS5cuJYPBwITdbDbTjBkzaOzYsaTRaEjXCRHsHh1NgUCA9u7dSwqFgq688ko6efIkuVwu2rdvHz33\n3HN0ww03UHR0NBmNRkpNTaXY2FhSq9V0zTXX0KxZs6hHjx4kk8lILpeTSqWiefPmkUEqbdNLJcat\nb7rpJqqqqqKlS5ey4xZ8/KRSKY0aNYpmzZpFZrOZ5HI5vfzyy3T33XfTX//6VyJqFFJxQmk0Gung\nwYM0dOhQCgsLo7feeqvVe9EzzzxDotdnypQptHLlSrrzzjt/4Tvg/y24+F4m7Ny5kywaDW1p5WLc\nApBZqaT+/ftTVFQU5eTkkM/nIwA0c+ZM0uv1NGHCBBIEgRITE8lsNtPx48ebvf/58+cpIiKC5HI5\npaam0s0330wJCQksaWfevHmUmZnZLJFq6tSptHnzZho6dCi70BctWkQnTpygQCBA58+fp5tvvrmZ\nAKnVasrIyGBJO6mpqXTttdfSli1baPTo0ZfccE0mE0makrJCQkLIaDTSokWLCACzNA0GA7vpiDee\nW265hSwWC02ePJkGDRpEgUCAduzYQUOGDKHU1FR67LHHaPjw4cxynjVrFslkMurXrx9NmDCBRowY\nQf+fvfeOjqrc/v/PlGRKZjKTqZkkk2TSewVSISQhoYQqHQJEivROQBFQQBEQxEa1g6BcvSAWVEqu\nXbF9rFexfvzovRbkWkBEAnn9/gjP85lJAsT78bvWdf2y1zoLMjk55Tlnnvez937v9xZhUKPRSHR0\nNLm5uXi93oD7SU1NJSMjg+TkZPLz8+XnLpdLArUAeLGZzWb27dvHnDlzuPHGG5k+fTo33njjRZ//\nt99+y7p16+QiYNiwYYwaNaoZIPzCi/5ApdfrsdlsRERE4HQ65XV37tyZXbt28dhjj3H77bczb948\nScJRq9Wo1Wq8Xi8DBw7kyiuvZNu2bRw6dIjPP/+cxsZGTp8+zQcffMCyZctIT0/HarXKcLgAdeEt\nJycnExERIcdZrVZLoGwJshcjI+n1epxOJ1FRUWzevJm1a9fSq1cvoDkaNGfOnGYwaAdYhgUFyciM\nWCgFBwcTHx+PRqMhPDycrVu38tVXXzUvHgyGC4KgVauloaFBvu81NTVER0ej1WrRarVkZGRQVVVF\nSUkJNpuNpKQkZs6cyYoVKxgyZAghISHYbDYsFgthYWGMHDmSHTt24PV6cbvdhCgKPuV/yX9JQUGY\nz4/TsmXLqK+vD4gEiQVZbm4uFotFkg2vvvpqli1bxpAhQ2hqaiIhIYHXXnuNXbt2ERkZiVqtJiws\njJtvvhm3282qVauYN28eN9xwQ6t38eTJk9hsNlQqFUFBQTz++OMsXLiwzX077N+3DvD9D7CmpiaS\nIiMvOamEqtUMGzaMe++9FwCTyYTFYmH48OHY7XasVislJSXExcUxevTogHM0NjYSHBzMxo0bUalU\nREREsHfvXmpqauSEOm3aNL7++msyMjICvNSePXvyzDPPkJqaKpmPycnJLF26lHfeeYcjR460mliF\nt6JSqaRX+tFHH3H06FFCQkIwGo0BgC0mGL1eT319PSqVioSEBNxuN7GxsdLzFKE2lUpFWloaI0aM\nQKVSccstt3D27Fmampo4cOAAhYWFmEwmOYHYbDaGDBkiPfAlS5Ywd+5cFEWhoKCAF198kXvuuYfp\n06dTWFgow6ViDITHLBYKOp0OnU4XyKL2YzgLEO7fvz8PPfQQNTU17XoXzp07Jyd4saiKi4tj/vz5\nnDlzhhdeeIHJkycTGxt7wTC2mKAFQMbHx2M0GomJiWHEiBHU19czZswYKioqSE9Px+PxEBISEhBp\nCA4OliF9MfYi+lBTU8P69eu5/vrrmThxIhUVFTidzlYLJPFvUFAQERERGAwGyRB2OByEhIRw5513\nsmHDBsaMGSPB0f8YkZGROBwO6VULAL4Yr0Gv1zNt2jQiIiIkCGs0GoqKisjMzEStVmO1Whk3bhzR\n0dHMnj2beLc7AASTz4eGVSoVXq8Xp9OJx+OhrKxMgqg4dm5uLrfffjt79+5l5syZuFwukpOT8Xq9\nhIeH43K5cLvdXHfddYwZMwafz8ett94qj52bm0toaCghISFyIZebm9vqmRqNRlatWkVdXR0qlYqi\noiL27dtHY2MjZ8+eJS4ujpdeeon33nuP8PBwSkpKyM3NZfv27Wg0GpkXfuGFFwC44447qKura/UO\nrl27lri4OPm9/PXXXxk7dix33333/3Gm6zB/6wDf/wA7dOgQWSbTJcNpPkVh4sSJTJw4EUCW/Nxw\nww2YzWb69u1LcHAwUVFRmM1m/vu//zvgPAkJCXzwwQcUFxdjtVpxu93885//5Nprr5WT5dy5c/nh\nhx8oLi4mKioKlUqFxWJBo9GQmZnJrFmzCA4OxuFwMHbsWKKjo4mPjyc4OBiTyYTdbpdAJLxfrVZL\n3759cblcNDQ0sG7dOjQaDbt27WpV1uIPYiaTiXfeeYedO3eSkJAgwVxRFHJycqR3FRoaSmZmJllZ\nWTzzzDM0NDQQ43AETKY+RcGiKAxRmks44tVqwoKCyMvLQ6VS4fF4ePHFF+VYNTY28vbbbzN06NBW\n1+d0OgPC4iaVqtW5/MtdoqOjCQkJaUVouZCdPn2akpIS6uvrWbJkCR6PR3pwXq+XAQMGMHfuXG64\n4QYWL15MTk6OJBAlJydjtVovSGDy9wZNJhMJCQn07NmTqVOncuONN7Jnzx7uvvtuRo8eLUljLT2v\nlqmAiIgISQKKj4/H4/EQGhoqS5JEuD43N5f8/HwGDhzI+PHjiYmJCbjvo0ePEhcXx5kzZzh8+LAs\nmfJfzIjFTstyMd/5z8TvrVYrmZmZBAUFkZCQwM0330x5eTlNTU0cP36cnJwcunXrRkpKiiy7CQ4O\nlikArVZLZGQkTqcTjUaDXq8nKSlJhrAvv/xyDh8+zEMPPSQXFlFRUQwePJikpCTi4+Ox6/XEKQrz\n1Wrmq9XEqVS4Q0LYu3cvYWFhaLVa7HY71dXVBAUFtfnMxDsmxi4qKoq0tDQmTZoUMHZ79uyhoKCA\n7777jk6dOmEwGNi2bRtnzpwhNzcXrVZLv379+P777+XfPPfccxQWFgYc5+TJk7hcLqxWKzqdjq5d\nuwLQs2dPnnjiiXa9vx3WPusA3/8AW7VqFfUaTbuIJImJidjtdtasWUNaWhpms5kuXboQFBREeHg4\nOp2OrKwsIiMjueKKKzh16pTMQfbs2ZPHH3+cEydOYDAYyM7OpqqqinPnzvH444/LL//s2bM5efIk\nPXv2JCYmBrVazZgxY0hPT0er1eJyueTnkydPZuHChSQnJ2Oz2QgODpYThpjgxaTfo0cPnE4n3bt3\nJzY2lmXLlvHss8/icDhaEbXEFhoaytKlS/n+++956KGHAryqyMhIyUgWjE+Hw0GoRnPB8L1TUWjw\n+9l03hMOOh+qXL58eSuQPH78OPHx8QFepdvtxmQyyTBoW+cKaXEvcXFxvP3223zyySccOXKEJ598\nkvvvv59bb72Va665hhkzZtCvXz8Z6vUHS51OJxcbdrud0tJSxo8fj8/nIzk5mezsbKZMmcK6deso\nLCzE4/GwcuVKvvvuOwB+/PFHnnjiCa666ir69OlDQkJCgKfu7222tYlcbN++fZk1a5Y8jmCc+4OF\nP3teRBAefvhhjh49itPppLi4mAULFjB8+HA5xmfPnuW5555Do9FQUVEhvXmVSsWSJUu477776N27\nd0BaRACWyBWL35kUhXiVKqCO23IeQEtLS5k3bx5XXHGFDAcHBwej1WrJz89n2LBhEhTFwlCErfPz\n87FarURHR1NcXEzXrl2x2+1MmjSJ3r17o1arCQ8PZ9CgQZhUqgu+F5bz77p/xKDlWEdHR0u+hVar\nZeDAgezfv58dO3aQlpbGr7/+GvCOlpSUUFdXh8PhwOVysW/fPgAGDx6MRqMhKyurVW3ud999R1hY\nWMDna9asoaSkBLfbjVarZdu2bQDk5OTwxhtv/EEzXodBB/j+R1h7wXee0pxDDQ4OZtq0aWRnZ0sS\nR2hoqAwT+ROCRJhWMIvtdjsZGRkkJiZKbyInJ4fx48czduxYOeF06dKFjRs30qVLF5lPrKmpYdeu\nXRQWFsrzijDskiVLOHfuHL179w5gqPqHHoXXqFKpqK2txeFw8Prrr9OvXz+CgoIYNWoU/fv3bwUC\nJpMJk8nEokWLyMrKkuU6YnIuLCyUk367CDR+k+ITikL4eW/HYDBQXFxMSUlJq6jBK6+8QkhIiBQm\nURSFIEVhlXJhApB/eVdLbyY9PZ3q6moGDBhAjx49yM7OlqVI5eXlLFmyhDvuuAOHw8Frr70GNC8C\ncnNz6dWrF/n5+ajVajp37sz999+PyWTC5/PRpUsXdu3axW+//cYvv/zC3//+d/bv38+mTZuYOXMm\n5eXl+Hw+Gfb397YEg7bl51qtFp1Oh91uJzk5maSkJMnOttlsrYDDYrFIspQIjRsMBnQ6ncyVZ2Zm\n0rt3b2bNmkXPnj0JCwsjLS1NioBotVpqamrQ6XQkJCTgdDplaZogvfm/JzExMUyYMEGKcLQFeoI9\nLBaqsbGxAYsFp9MphVUEy7isrIyYmBh8Pp8smxLntFgsdO/encjISCorK2WZXnvy0iKk3XKhqdVq\ncTqd8nscHR0t38Uvv/wSp9PJ66+/HvBu3n777ZKMePDgQex2Oz///DM9e/ZEo9FQV1fHggULWs07\nTU1NhIWF8e233wJw4sQJXC4XxcXFxMTEoNVq+frrrwEIDw/nq6+++sPnvv8/Wwf4/gdYe8PO8Wo1\nhYWFVFdX88gjj3Dfffeh0Wiora2le/fujBo1CrfbTUlJCT6fj6ioKFauXEljYyM//fQTy5YtY9y4\ncbz99tu89NJLdO7cGZ1Oh8lkYunSpVKlSShIeb1ehg8fLssyBBD6fD5JDPKfPIKDg4mLi0OtVmM2\nmwMm85ahT51Oh8PhaPZUQ0NJT0/Hbrfz4osvBnhkWq1Whj2Fd+xyuVi6dCk9e/aU16VSNSt1tYcN\nm6koHPb72acodOvWTU7EycnJsn61rq6O/v3743K5sFgsrULMmefBvOEC54ptA3xbhm1zcnJYuHAh\nb7/9divv5OGHHyY6OppvvvkGgH/961/4fD70ej0LFy4kPT1dHqewsJCBAwfKBYoAwrCwMBkC9vl8\n5OTkyBrO6upqHnzwQY4cOUJBQQElJSW8//77/Pjjj3Tq1ImhQ4dy4403YjQaSUlJkfWhLRcTAoRb\nRjA0Gg12u53o6GiCgoJITk6W5LHg4GDcbrf0MgWxTqPRoNVqSUxMJC0tjZqaGhndsdvt9O3bVyp7\niYhEWloa7pCQS4KeQ69n6tSpnDlzhmeeeYapU6fKc/bu3ZuFCxdSUFBAZGQkBQUFlJaWBpDHDAYD\nKSkpcoErxkKUoxUWFpISHNwuRnbL74RI2SQkJGAwGIiPj+eHH34AmoGyqqqKFStWyHfj008/ZeDA\ngYSEhFBXV0dTUxO33HILAwcOlCz+Q4cOMXnyZG677bY2556ioiJZSrh69Wr69OmDy+VCp9Ph9XqB\n5qiEVquV1Q4d9sdYB/j+B1hTUxPJ7SBcuc8TMjweD71796ahoQGDwcCOHTvweDx07dqV7OxsTCYT\nmZmZWCwWbDYbp06dAmDv3r307dtXnvfkyZOYTCaysrJITU3ll19+kddTUlKCoihkZ2dz9uxZFixY\nQFRUFMHBwWRmZnLs2DEAtm/fjtfrlUAsangNBoME6YEDBwYQrMQkLbwIo9Eow7iClNOWt9iy9Mjh\ncJCdnR2wCGhPHWi9onCD389zFSUg5yaiBCaTiaKiIu644w70ej12ne6S4eyW55rbBuC2vA+tVovN\nZkOn05Gfn8/06dO59957ee2113jrrbcYOXIkcXFxzJw5k7i4uACAE0Sw8PDwAFJaVlYWU6ZM4bbb\nbuPJJ5/kvvvuo7a2FovFQnV1Nffccw8//vgjv/zyC4sWLcLpdLJt2zbOnTvHTz/9RGFhIdOnT6ep\nqYm3335bksfMZjO9evVi/fr1Ms1xodCpWJD536/VaiUyMhKVSoXP55OlNwLcRJ15bm4u4eHh8pmo\nVCri4+MZPHgwCxYskKkCkatVFKVd8qqJ51nKJpOJ/Px8Fi9eLMPFGzZsAOCKK66guLi4ubTJ52Pw\n4MHk5OTw3HPPodfrCQ0NlZ54dXV1wAKxve+geC8EAU1RFMlcDgkJwel08sUXX8jvqohCNTY2cvLk\nSa6++mrsdjv19fWEhYXx448/As1iPCaTCY/Hw9atWwHo1asXjz76aJtzT11dHdu2bePnn3/G6XQy\nZswYJkyYgEqlYsaMGUAzE99ut/+RU16H0QG+/zEmSo0uxOIMVatlnu7666/HYrFIMsidd95Jeno6\ner2ePXv2YDQaWb16tSRVbd68GYC3336b1NTUgPOKXG9RURFTp04N+N3IkSNRlOaSn1OnTrFq1Src\nbjc6nY6IiAg+/vhjxo8fz80338ypU6dYtGhRQP2ryWTCarVis9m49dZbJTu4JStYeA5Tp04lKysL\nn8+H2Wxmw4YNfPPNN2RlZUlv2Ww2B5T8KIqCzWaTwPPvgO88lQq32016eroU5ygvL6e0tBSLxYLZ\nbMZ2HngvtjjyD2f7T7L+Qh8iXG80GikoKGg1DoKZ6w86ZrM5AKDEwkUQhDp16sRdd93FSy+9xPvv\nv8+qVavw+XzExcVRUlKC3W6nqKiIW2+9VXrQAE8//TRxcXGMGDFChhd//vlnioqKqKurY+vWrTK6\n4PF42L59Oz/88AO//PKLLD2y2+3o9Xq2bduGSqXiyiuvZMaMGdKLtVgsrZ63uD8haqIozYSs2tpa\nqVltt9txu91yHNxuNxkZGaSmpgYs9vy39oKeVqvFarWyadMmtmzZgs1mY+HChVgsFqKiotDpdMTE\nxJCfn09JSQnz5s3DYDAELJLEAkKUHPkvMn4P+Or1ehlGf+utt+S78eabb8rn9NFHH+FwOPjggw/Y\ntWsXUVFRjBo1ii+//JL6+nrmzJnDiRMnGDZsGGq1mu7duwcQslJTU1uVHgpbvXo18+fPZ9WqVQwZ\nMgSbzcb06dNRFIWXX34ZgHfeeYe0tLT/w+zWYW1ZB/j+B5kQ2WipThVjt8tVrkajYffu3RiNRl59\n9VVZ71lYWEhoaCgNDQ14vV66d+/OZZddJlmYZ8+e5cSJE+j1+lYKPYMGDZJhppYr5GnTpslJ4osv\nvmDTpk04nU6pGBQWFsann34q9z9x4gRmsznAew0NDZVkrPnz50u1JOFliklLhBvNZjMajYadO3fK\n465cuVLmly0WC9OnTyc4OLiVZ/XvhJ1jzy8WMjMziY6OliFUr9fLtdde225xB//jis+SzucwhcKR\nP6iKe24pRSnGoS2A0Wg0mEwmKioqmDFjBurz5WdNTU00NTXx5ptvUl9fj9frxefzkZ2djdlsZuTI\nkRw+fJhz587x7bffMmrUKGJjY9m/f78c4w8//JC4uDgiIiJkU4Tdu3dTV1fHrbfeCjQTt5KTk1Gr\n1bIGe+HChVKhLC0tjYULF8rQ5YkTJ9i4cSM6nU6Oq/AS26oD1ul0uN1uCgoKMBgMDBw4kOTkZMxm\nMyEhIWRmZlJRUUFeXh46ne7f8jiFx9wyAiHepYiICKKjoxk0aJCsg09OTiY8PJx7770Xn88nAXfe\nvHn4fD75ngcFBbVbCMRsNpOeni5Z/x6PB51Ox8iRI+UzaWxspKioiPr6ekpLS8nLy5OlQidOnMBu\nt/PEE0+QnJwsa9wLCgo4ffo00BzFCgkJkZ5xS9u7dy89e/bE6XRy7bXXMmDAAKKiolCr1TIFcvDg\nQcrLy3/3fNZhF7cO8P0PMyEv6a9O1dTUxIoVKygqKiI3Nxez2UxiYiLPPPMMTqeT/v37s2zZMgkY\nM2fORK1W8/e//12C5EMPPQSA2+1uRZz46aefsFgsxMfHy/Ijf5s1a5bMcR04cIBdu3bJLkNqtZqH\nH344YP/U1FQ2btwYoBstgNZqtfLuu+9iMpkkizQuLk5OhMKTUJTmGs/nn39eTgIjRoyQ3q/X68Vs\nNlNUVERFRcX/nkP5/YSrED9QExO6uAZRZvXveNRPKAqh5/V1x4wZQ0REBEFBQaSmpkqw8a+n9lff\nUhRF1ikrSnNpVV1dnezkFBwcLBW7hLcsxnfEiBFygoZmotatt94qO1MZjUamTJnCyZMn+fzzz1m3\nbh1dunRBq9WSkJDAnj17ZKoCIDk5mTfeeIM777xTjo8oyYmJiSE7O5ucnByKi4tpaGhg27ZtJCQk\nyKhBWFgY+fn5OJ1OysrKJKdA3KPdbmfgwIGSPX0h1rXgJ4iaWPG+iP3j2gl6/mFxsbAU+XAxnsID\nzcvLo2/fvrKOVkQaxLsvBEUUpZnNXllZifk80/li72CoRsOXX35JdHQ0Bw8eRK1WY7PZ6NOnD+np\n6VJadvHixUREROByudi2bRtnz56Vz+WWW24hNzcXh8PBjh07KCoqwmKx8OWXX8p9vv/+eywWywXn\nmw8++AC73c7IkSPJyspiy5YtmEwmXC6X3GfHjh0BC4IO+2OsA3z/JHbu3DkGDBhAbm4ukydPxmw2\nU1lZSV5eHllZWQBUVlbicrno0qULKpWKyspKZs2aJduoNTU1UVxczLPPPtvq+I899hg6nU7msfy9\n46amJq644gpJnlq7di2PP/64rC21Wq2sX79egmR8fDwfffQR33zzDZWVla2UmZxOJ2azGY/HQ2xs\nrAR2MSmLsKq/xODs2bPp2rUrmzdvJjk5mby8PMk8Fuo9er0ek8l00eYS/qVGLdnIBoOBsLAw0tPT\nW3lFvwd82zq21+uV4yeIRgJAfD6fFH8QJSb+5y4vL2fVqlWUlJTIBcKVV16JXq8nMjJSNklQq9XY\n7XapqRwZGcnQoUO56aabuP/++ykuLiY1NZXq6mr0ej0Wi0UuDDIyMqirq2sVFXnrrbcIDg6WspBC\ngtNoNLJ582aZ+73uuuuIiIiQIdSoqCg8Ho8cS5fL1QpMRb7XX1hDLCTGjx/P8uXL2bBhA6tXr8Zm\ns1FYWEhWVpZMfYj3SYxXexZeosWlIDgZjUYpmSnA1P9dbev/Ho9H7qfRaFi8eDGPPPIIycnJ1NTU\ncMsttxB6EenIEKU5R19cXIxOpyM7OxuVSkW42UyG0chcRWGBRkNSUBAhikLv3r0l8UrY999/T0hI\nCAkJCRw9epR3330XlUol2wEKe+ONN+T80JYdO3YMRVG45557SEpKYvHixbLpibB169YxZ86cds5U\nHdZe6wDfP5H99NNPeDwe8vPzueuuu7BYLHi9XrmyPXz4MCqVil9++YUBAwbITjpikmtoaKC2tvaC\nSjWXXXYZer2ejIwMST4RdvbsWamkpSgKQ4cOJSYmhtDQUJmfmzFjBmfPng0oj2hqapL5Tn9Q0ev1\nREdHY7FYKCsrk7/XarVkZ2dLUXej0Uj37t1laVFkZCRz586lsLCQ4uJieUxBgikrKyMuLg690lqE\nQYhs+PfwFZ6Uf4hXgIx/OLg9ocQkRWHw+WOHKM2evpi0dTodRUVFGI1GMjMzZclVS5AXW1vyjNnZ\n2QG9cVUqFTk5Odx00018+OGHFBYWMmjQIDZv3sykSZNk6Y7w5sR96c5Llfbr109qDnu9XpYvX851\n113HiBEjyM7ODsjVajQa2eFGPCvh/YqogcVikd7hgAEDiIiIkN59y9B6bm4u06dPZ8eOHXzyySc0\nNDQQHh5Onz59JFdgwoQJvPDCCzQ1NbFmzZpWwhLx8fHk5+czdOhQCcaXUr+aOXMmjY2N9OnTR6q1\n3X333TJCNGvWLLZu3Soba7Sn25Ig6BUUFEi2v8lkwqRSBbyDCVotjvN9orOysiQJUa/XyxK5Nsl8\nRiMNDQ3yvo8cOSJVs06dOiV7HyclJbX6Tu/Zs4d+/fpdcE5ZuXIlZrOZ3r17s2HDBuLi4ggKCmL+\n/Plyn/r6+g5pyf8H1gG+fzLbt28fGo2Gp556CovFQkZGBoqi8Mknn9DU1ITBYGD9+vV8/fXXqNVq\nNm3aRHV1NYrSrKM8duxYKbje0r7//nvZmN1ut/PWW28F/P63336jurqalJQUOem+8MILciKIiYmR\nZTn/+Mc/APjb3/5GfHw8ixYtCiDYCG9KNF3wZ31GRUURHR2NyWQiNTUVtVrNjBkzJEtViIgIDyYo\nKAizWk3c+UlunkpFnEolw8ltTZgXU9byXyCI8Hh7azdTUlKwWq1UVFQwc+ZM/vrXv8r7NhqNstm8\neJaCuCMEIkJDQyUxzWAw4PF4WgGAADKdTifD4i3vLSwsrE1im/8Cw78W239hFBISQkhIiBQxsVqt\njB07lu7du6PVauWiy2Qycfnll/Pll1/y4YcfUl5eLmvNMzIySEhIkMc0Go0yn3rZZZfJd6qpqYn1\n69fjdrs5ePAgx48fx2Kx8I9//IPVq1eTnJxMYmKiJESJXCY0t7wT+WwhSGEwGLBotcSr1RL0nTS6\nZQAAIABJREFU2noXRIhfjIHL5WLWrFnMnDlTtqj031+r1UomscFgYPjw4bImuK2xbflZsKIQpVYz\nR2lWvMo0mbCeD5m3K1USFcW5c+dYv349TqeT1NRUdu/eTVNTE6NGjZKSlS1tw4YNkrXc0n788Ucc\nDgfFxcUYjUaee+452SJTkDQBxowZc8EGDB3271sH+P7J7MyZMzKkmJCQwKpVqyRJ5fXXX6eyslIy\nEzMzM4mLi+Ps2bO43W40Gg1OpxOr1crdd9/dSiUH4C9/+QtWq5XCwkLS0tICcn/QTPIoKCiQIh2h\noaEcOnSIyMhIIiMjSU5ORqPR8N5778kw944dO2hqaqJfv34SNATRqLy8PECoQUx4drtdTnC9evWS\nxKzrr7+exYsXS6lB//ZsbXkN1vMCJEIS8mIejNfrZdy4cYSHh7ft4SgX96rEAsdqteJwONDpdHz5\n5ZfSCxR9hVUqFQ6Hg7CwMIYNG8aYMWOwWCySISyO4w+IbU3oQUFBREdHM2zYMOrq6qQmtP8+8fHx\nTJo0iSVLlnDllVcyZ84cBg4cSEJCQivy14UWKCI0rCjNIde6ujrS0tLIzc2lR48ekm3ur0vct29f\nuaBwu92UlZUxffp0goKCuO6664DmUrfhw4eTl5cXECnR6/WcOHFC/vzyyy8zefJk2c5w165dnDp1\nSuavMzIyZH9p8X4JARObzcaePXvIz8/H4/EwfPhwioqKsNvtF1RV87//lJQU2aovJCSETz75ROZW\nxTslIhgCjP3LnxRFuajaVYii4FEuHlU5pyjE6vVERUURFRXF8uXL8Xq9NDY2smHDBrKzs7HZbAG5\nXmGiuUdbtmLFCmpraykuLqZLly5cddVVpKamkpqaypNPPin3q66uDiDmddgfYx3g+ye0rKwsLr/8\ncsLDw5kzZw5Wq5X6+nocDgdz5sxBq9XyzTffsHnzZiwWC48//jj79++XalBJSUn06tVLilX4E6ya\nmpro37+/zLFNnz691fm///57jEYjPXr0kKzR++67j/j4eLxeLyqVSq6e09LSJElkwoQJmM1mDAaD\nDGMKSTwxcbYMTYs64tjYWOx2O/369ZP5Up1OJxWNLuY1OAwGea2XCiEKEBYtEltuFo0Gn9LsXYvw\ndVsqVv6NGNpSjRJlKp06daKurk72WfUvM9JqtUyePJm4uDhSU1OJiooKaGAgjiVqeiMiIoiKisJo\nNGKxWEhISMDlcpGamsqAAQPo06ePbFQRGRlJSUkJX331Fbt27SIpKYnMzEyGDh1KRkZGm5EBnU4X\nILgi7kE0YBDeZ0t1M6/Xi9Vqpbi4mKCgIDp37sz06dNl3nPHjh089dRTslQqNjaW119/vZXgyG23\n3UZBQQFVVVUS2D0ejySmCdnTgoICHA4H7777LldddRWlpaV89tlnaLVawsPDZTjZbDZL8pr/fcbE\nxKDT6UhMTAxoKtHyGQpPWHAURAOLgGYbyqW9WvdFwLdBaU5nJCvNCncLNBoStVoiLRZuuukm3G43\n999/P507d25zrhg0aBB/+ctfWn3+ww8/4HA4eO+997BarfTv35+4uDhCQ0OJi4vjgw8+kPtmZ2cH\nlD512B9jHeD7J7Ta2lruvPNO6dkajUbWrl3Lm2++KduHrVixgmPHjmEwGMjLy2sW8jhfImKz2YBm\npuPUqVOxWq2MGTNGytb985//JCwsTDaZb0niOH78uGQcX3vttbLjzFVXXUVmZqYEBK1WKxV5Xn31\nVdxuN6+99hpGo5GcnBzpFc2fP1+GJf29PzHZVVZWEh4ejtlsZuzYsXTp0gW9Xt+suvQ71ITEJNuW\nQpOo771YCNH//6GhoaSmppKfn39Bz7EleWfo0KGyXGzatGnEx8fLhYheryczM5O5c+fKyIIIG3ft\n2pXrr78em81G586dCQ4ObsWMVhRF9nQ+ePAg999/Px6PB7PZLPsW2+12uZDp0aMHO3bsICkpicTE\nRKqqqnA6naSkpDBhwgTcbjc1NTWy7KTluTTnWdxlZWVce+21PPDAA5KpvmjRIgngffr0Yfbs2ej1\neu688040Gg1erxej0UhlZSXjx49nyJAhVFVVUVBQIOVTxUJEaClnZmZSWFiIWq0OYEQLwBfeZufO\nncnOzqZfv34kJiZy7NgxCgoKpOKaoiiyYYhY8InnpFarJbgnJCQQFxdHTU0NGzdulIQxsbC80Lsh\njiXVqtTqdnEFDrfxuwalmSB4Ia/ZpDSTH6dPn87111/f5lyRl5fHkSNHWn2+fPlyxo4dy0MPPURW\nVhYZGRlERESQn5+PTqcLiHi53W6ZRuqwP846wPdPaGvWrGHOnDm89tpr0lMaP3480Aycer0evV7P\nyZMnqaqqIioqiv379/PWW2/JifOnn36Sxzt+/Dhr1qzB6/VSWlrKww8/zJ133inDyOHh4VKEAeD+\n++9nwIABHD16VPZGFZNT7969UZRm9Sn9eXLJjh076NSpk8wb/eUvfyE4OJiBAwdKQk5iYqKUHlSr\n1ZKE5R/+dLlcsu9vWVkZ06ZNY95FJjaxtVSZErnmiwFtSxBtGbIWzNiKigri4uKYOnVqQAlNW5vZ\nbGbx4sUSQMWiRXjH/fv356233uLYsWNs3bpVhq/F+caMGSPHwuPxyObpLa9bq9VSXV3N9ddfT35+\nPmPHjuXs2bOcOnWKwsJCXC6XZBhrNBq6dOnCDTfcwN133820adMk8U1EClQqFVdffTUHDhwgJCQE\nt9uNy+UiKyuLqKiogIiCqMWOiYmhtraWm2++maqqKsrLyzl06JAkYf3tb3+74Ps9evRo7rvvPhob\nGzl+/DgffvghN954I7m5uc3eZEgIQ4cOlTXGQoBEbOIcLRcNLRdDarU6gLSoKAqTJ0+WpWAxMTGY\nzWZJkhs1ahQqlQqbzSYXj6Ij0oWeeXtrj1ddAJQvmQuOjCQiIoK///3vbY6l3W4PEFaBZq/Xbrfz\n0UcfUVZWxrZt2yQJb968ebjdbrlvh7Tk/zvrAN8/oT355JNUVlbS1NQkm15nZGTI38+YMQO9Xk9i\nYiLr16+nS5cuFBQU0NTUJNWh2pr8zpw5w+7duykuLiY6OpqkpCQSEhIoLi6mZ8+esgxl2LBh3HXX\nXQC8/vrrOJ1O9u7dKzVvFaWZYON0OsnIyJDei3+N4oQJE2S7NxGKTk1Nle0RBTmnrfpXRVGora39\nXd2g/EtTWoL6xTxecS0tf69Wq0lKSpJhVpPJRK9evQJAqz1bUFAQkZGREogF+cmkUkkCWcvwthDd\nv9BiQWwOh0PWhfvfh4h+REZGYrFYJEj511qnpKTIMRs+fDj19fV4PB6qq6tZuXKlVCMTYBsUFITb\n7ZaLG3Fv/oBosViwWq2yjvWVV17h9ddf56233uK9997jww8/5OOPP2bKlCnU19ezZ88eamtrpece\nEhLCmDFj6NGjB6+++ip5eXkATJw4EY1Gw3XXXdcqKtCKtX5eECM8PLyZnGWxUF9fz+DBgwOebXue\nnRj/lukEkbKIiopivkrVrvezrsVnhxSFLOXSDPs0o5GoqKg254mTJ0+i1+tbhe+vueYaxo0bx7vv\nvovH4+H06dOo1WoiIyO5++67KSgokPt+++23OByOf2+i6rCLWgf4/gntq6++wul0As3lQYIRK3p1\n7tu3j5SUFNLT06VWbFJSEk8//TSfffYZiqJQWlp60XMcOXJEdhjS6/XEx8dz880389tvv2G1WgNW\n0w0NDTidTp5//nm6du0qJ6EePXpIAE1ISGDixIlyBd3Y2EhiYqLs2Wo2mxk0aBBms5lRo0ZRVlaG\nSqWSuUSlDQANDw8nVa//XSL2omtMSkpKKzaw/yTqz75WFCVA3tF/mzlzJj169JA/C6b4l19+GeC9\ni+sW4ynOER8fj9Pp5Nlnn+XIkSPExMRctOxEALBQadKfbxSwYcMGOT5CIastsIiMjJTyoBkZGRLU\nhFSpkIuMjIxEURSKiopYs2YN+fn5pKens2TJEhYtWkS3bt3Q6/V06tRJhuxFFCYrK4uIiAjKy8tl\n44e2ACssLAyv10tSUhKpqakkJSXh9XrlWIt6YqG7LVjgLceyJVi25fWGhoYSERER8Jl/6dTFwFVR\nmsPIoaGhUjjE/xrE+2k2m1vl5NurdqVXAsl8qxSFBZcAbZRm7kFZWVmb3+H333+fxMTEgM+E1/vx\nxx8zdepUrrnmGl599VXZter+++8PaPX49ttvk56e/rvnqA67tHWA75/QhMf7zTffcNNNN5GSkoJa\nraa8vJzGxkb+9a9/ybrLO++8k6CgIHr27ElxcTFNTU1yEjp58uQlz7Vy5UoZ+gwKCmL27NkUFRW1\n2m/Pnj2Eh4fz3HPPoSiKDB8LlqjP56N79+707NmTn3/+GWgOkQvFKkVReOCBB+jatatUaQoPD5fe\nlPD4EhMTGTlypJzc2lsC1B5PpiW5pqKigsrKSglqQUFBbN++XfZI9d+3ZQcnAQAtW+75b4MGDZJ9\nU0UOsj0tEcX92Gw2nnzySYYMGUJsbCz19fVyLNvaxCKsR48emM1mevTowW233cYTTzxBeHg4u3bt\nAuDOO++UuVSz2UxGRgYej4fPPvuMhoYGUlJSqKmp4ZNPPmHjxo1otVrmzp3Lm2++KTv95Ofns3v3\nbtavX4+iKFxzzTXY7XYeffRRli5dilarxePxyFytAFedTkdOTg5dunTh1VdfJSEhgUmTJsmmHwAD\nBgwIaMHYUq5SpVJJ6dOWINpyE9EPnU5HamqqBFSv14tWq6WsrEwyyDt37kx5eXnAYlAsEkR5kv+m\n0+mwarWXfJ5mv3c5Vmn2hEuU9oesp02b1uZ3d//+/fTo0SPgs2XLllFXV8ePP/5IWFgY//jHP1iw\nYIFszHL99dezaNEiuf+BAweoqKi49KTUYb/bOsD3T2plZWUcOHBAEplsNhsFBQUsXLgQaG5+3bdv\nX2644QZWrFgh868HDhxg1apVKIrCsGHDLnmec+fOUVpaSrdu3YiOjpblStu2bWtVhnTXXXdhtVrR\narXMmTNHAkF2djZut1uWeuTk5EiJy71798oJ0mazkZyczOHDhykrK0Ov1zN48GA5iSqKQnR0NDNn\nzuTIkSMBAHyhEiCznyhEewBYEL/8PeV58+YF1CMPGTKETp06tZnjFWVg4p769u3LunXr2nXu9npK\nCefrhsV1hoaGBrS3E6ByIbJYRESEJNC89tpruFwuKRHa0NAgmwdcccUVHD58GLPZTHl5uRTomDhx\nIu+88w6XXXYZiYmJxMXFyZSE1WolLi5OstRFSH7q1KkB4dG8vDyWLFkiy8hycnLIy8sLaKagKM2R\nhMrKSgYMGECnTp1kq8S2xk6opAld7JiYGCkiotVqiY2NlRKV/s/31ltvxWg0SjAX70FGRgZ2u535\n8+dzww03oNVqcTgc2Gw2SktLL/gML7/8cvR6Pampqc311hd5Px0GgxTBGTlyJHl5eRLs29OlKU6l\n4uDBg21+dzdv3syECRPkz//617+w2+188skn3HrrrQwdOlSK4ERGRjJw4EAmTZoUUOO7fft2Ro0a\ndcl5osN+v3WA75/UZs6cyfr16zlz5oys892+fTsxMTHs3r2b2bNnM23aNOLi4qQnHBsbi8PhYO/e\nvRJMLiS47m8ffvghdrud1NRU2bS7pqYGp9PJ4sWLJZCeOnVK5ha//vprWQYiZBPtdjtOp5NZs2bh\n9Xp55513AKRMZHx8PCqVih9++EF2chHX6c9OdTqdcrIsLy9HUZqZn/59dmMVBbfJRENDA4888kir\nloYX2/xDzv4TvcjxKkqzJvGmTZtahVXF30RFRUmwailbeKGQsMlk+l0dcVr+fefOnWUje5GL9e8g\n5J8PValUso563759ALz55ps4HA4yMjKIi4tj9+7deL1exo8fj8PhYMGCBezevZvevXvLxgpJSUks\nX75cvitms5lZs2bRrVs3evfuTVVVFRkZGQQHB2Oz2aivr2f06NHo9XpcLhczZsxg9erVLFiwgBEj\nRtClS5eASMOl8ucajYbs7GyKiooIDQ3l4YcfxuVy8dtvv7FhwwZ5P506dZLEuZEjR8rnIp53cnKy\nHJe6ujr5jA8fPkz//v2Jj4+nuLi41fWI8RXhcq/Xy759+6ioqMBwHlhdLhdJkZFkhIQEKK4lRkTg\ndrsJDg5mxowZDB06lG3btpGbm9tu8Q2zSiW7D7W0K6+8MqD/79KlSxk/fjxNTU2kpKTw7LPP8sor\nr8gyt549e1JVVRVQ43vjjTcyd+7c3z9BddglrQN8/6S2bds2xo0bB0B+fj5Wq5Ubb7yRN954A4fD\nwc0330x1dTU5OTk8/fTT9O/fn61bt2I2m4mNjZW52Jqamnadb/Xq1VKD1uPx8Pjjj3P06FFmzJhB\nWFgYo0aNYvbs2VRXVxMaGkpMTAzdunXjrrvuwm63YzAYZM7MZrOxfPlynE4nBw4ckBrDYnKcM2cO\nX3/9NS6XS4bUBXFm+PDhcuLLz8/n119/ZdiwYZKhm5iYGKC7261bN/r16ye9cAGE/mDeFpBdKFQp\nQqPiZ6/XK0ufRHmJAI6WRCbxeVvHFdfSXvC12+1cfvnl9O3bt80QuPi/yWQiOTkZj8cj76slO3nS\npEm8+uqreDweamtr6dq1K0ajkezsbFwuFxUVFXzwwQecPXuWlStX4na72bt3L/fcc49U4UpLS2P2\n7Nky5Hv55ZfzwAMPYDQaqaiokJ65f4mQRqOhsLCQ7t27U1ZWRmpqakC+OigoiNjYWHJycgLUpFp6\n9aGhoRI8n3zySflzly5dGDp0KFarFaPRKHsAR0VFsW7dOklyEwpk4tnYbDaysrJQlOb0iX/qw38B\n1adPH1JSUgJIa7W1tcyePVvKrprNZgYOHMhTTz1FWFiY7O7lcrlk/fOYMWOa9aBDQ3nnnXcCIipO\ng+GiUZ1Ro0YRHh7O7NmzpTCJsFGjRnHfffcBzRUNNpuNTz/9lEOHDkmt93nz5jFo0CC6d+9OfHw8\niYmJATW+CxYsYPXq1X/MpNVhAdYBvn9Se+WVVyTbc+7cuQQFBTF58mSgOVTk8/kwmUzcfvvtDB48\nmJ07d9KnTx/uvfdeSZARK+zPP//8kudrbGyUQvk+nw+32y3Lj3744QdWrVqFWq0mJSUFh8NBcHAw\nxcXF/Pbbbzz66KPY7XbCw8MJCgoiJCQEi8XChg0bcLlcqFQqdu7cKUE2OjqanTt3otVqKSoqQqvV\nMnz4cDk5inIjg8GAy+Xi/fffp0+fPvK+hIfi7wGKnOL8+fOJiIggLi5OAm1btayXUsMS6kriZ9Fh\nSDQeuJRnLf4/YcIEeS2K0n6CjlqtDtCOFvcrjpOSksLgwYPR6XR0796dXbt2cfvtt0u5zgstOtRq\nNbGxsRIs+/Xrx/r167ntttvIysoiMzOTu+++m/vvv5/CwkIKCgq47LLLSEtLCyhNcjgc8tmKsUxJ\nSZFAKvY1GAykpKQQHh4uWdHz5s3DZDKRkZEhr0OAnXhXe/TogV6vZ/z48Vx11VV06dKl1b0EBwfT\nrVs3Hn30UenNFhQUYLFY8Hg8dO/eHUVpzoXHx8djsVgkILccG4vFImu6N27cyKeffirLjZYuXSrf\nM+HJWiwW/vnPf8pezE6nk2eeeYZrrrlGgndISAjvv/8+Y8aMYcqUKcTFxWGz2eQCVVEUJk6cGJAL\nnqsoZJpMJJyPKp05c4bvv/+ecePGERMTE+C1lpSU8MwzzwBw9dVXyxC00P8+d+4cXq+X3r17s2nT\nJtmxyj+dVFtby7333vt/nq86rLV1gO+f1E6cOIHBYKCxsZGnnnoKlUpF9+7d5e9nzZqF2Wzm4MGD\nWK1WPv74Y0JDQ/nuu+9ISEjAarXKFXZJSUm7zpmWlobFYqF///506tSJXr16yTKGlStXMnz4cDZs\n2IBGo8FsNpOWlsbAgQM5e/Yszz//PE6nk5ycHNRqteyqs3btWhRF4corr2TQoEEoisLIkSOlpypq\ne3/66SdZJmI0GnnwwQdxOp3S073mmmvIy8vjsssuk5OnCMGGhISQnJxMSEgIDodDql3l5eXJ+uQL\nsZlbbgJw/UGhJdi2zLUKNnd7jt+eUKOpBZDPmDGDxx57TJbc+HvAoq+vxWJh5cqV7Nu3T+Zl/a+p\nLcZwUVGRfOb+Hp9/Gz+LxSJJdeL3Le9TaDxfddVVvPjii3zyySfs2bNHpjGE4lRGRoaUJxUeqMlk\nYv78+a3aXHbr1g2VSsWBAwf47bffZAN4sZhKTU2VQOs/ViqVSub1Z8+ezaxZs+TfXSjEHRYWRmJi\nIhqNhscffxxoJj3W1NSQnJyMStWsL+4fcfjqq6/YtGkTNpuN9PR0YmNj+ec//0mvXr3k4u2mm26i\nqamJgoICdDodubm5fPbZZ1KpTOSCFUWR5DRxz7fffjujR48OGJMDBw7g8/mora3l2LFjREVF8fnn\nn/P9999js9n47LPP+OKLLwgLC+PEiRO89NJLpKSkEBYWxldffUV8fDx2uz3gmC3D0B32x1kH+P6J\nLT4+ng8++ICff/5ZfkGFnTlzhoiICCoqKpg4cSKrVq3isssu46677uKee+7BarVy++23y5rR5557\n7qLn+uqrr7DZbFx11VX06dNHlojccsstksjx0UcfcccddxAUFMTzzz/PqFGj0Gq1pKWl8fe//513\n3nmHyMhIevXqJScs4Wl07twZn89HfHy89IhEGC85OZnCwkKCg4N58MEHJbFm48aNUvvZZDIFqEKJ\nTZRIzZo1C5PJhM/nk60Q9Xo9V111FStXrgyYoC80CQvP8GL7iC0oKIicnBx0Op302C9VmysWApfS\nkDYYDGzZsiWA9S1YwpWVlaxZs0Z2MhKAaDabJcD6fD569OghxSQutBUUFJCfn09oaCiDBg1i2LBh\nFBQUSJ1wk8lEbm4uRqPxf9v6hYQQHR1N7969MZvNrTSUBbPZ7XaTmJiISqWSbQiFlyxC0r179+bY\nsWNtvo/h4eHEx8eTlZWFTqeTYWVBHqupqWHnzp24XC4uu+wyuVBoa6Hhv7ndbuLi4uSzEKVzolPR\n8OHDefLJJ7nnnnvIzMzk6NGjcvzFcw4ODubw4cMEBwdTWlrKddddR2ZmJkajUS4wY2JiePPNNykr\nKyMkJAS9Xi/L92w2Gz6fD7VaLSMqBQUFJCQkEBwczNGjR+nRo0erPtrQXNsrhDI0Gg2//fYbixcv\nZuLEiQAsXryYWbNmAc26z+PGjZMRtNLS0lalSVlZWfzXf/1XO2ekDvs91gG+f2IbNGgQu3fvBpAa\ns/7NEu666y70ej1r167F5/PxwAMPUF1dzZkzZzCbzcybN49nn30WRWnODbbMGfnbli1bGD16NKdP\nnyYtLY3ly5djt9ux2WxMmDCBCRMmcObMGQmgwoQKVkhICL169eLee+8lMTGRIUOGBIRKb775ZiwW\ni1QxEouCkpISGcYWwiDPPvus9GCmTp2Kw+GgrKwsIKeYkZFBdHS0nMxXrFhBVVUVoaGhpKSkEBUV\nJc/l7xWJnzt16iQXCCFKazKXf/mSKMlp6fVebFOpVOTl5bUCcbVajdVqbRVqFOcUMonBwcH069eP\n//qv/5INKxSlOfzcqVMnKisrW7GxBalNp9PJNoqiVOZi15qZmcm1117Lzp07efHFF/n000+x2Wz0\n7NkTtVpNREQEPp+PLVu2sGbNGhYsWMDJkycxmUxs2bJFiq84HA6qqqokG1xsoaGh+Hw+2TNYLG4E\nMJeWljJjxgyuu+46tm3bxvLlywPGevny5Zw7d46SkhKioqK477770Ol0siTKZDJJzkBL1vuF0gRi\nP7GIKSoq4vjx49x+++2y5eXll19Oenq6XDz4tyDUarWYVCqyTCbmn++wFKdSEX6eaZ2amorL5WLz\n5s2kpqaSk5MjvzMhISGy1aXwkhMSEli2bBkqlYrNmzdjNpsvWiq4d+9egoKCqKysxGKx8Pnnn3P6\n9Gncbjcffvgh586dIzIyknHjxnHNNdcAUFNTQ2ZmZsBxXC5Xq6hDh/0x1gG+f2JbtmwZS5YsASAj\nIwOTyRQgM3fs2DFCQkIkU3nfvn2EhoZy7NgxBg8eTHR0NNBcliT0jQVzuaX16dNHAv3LL7+M2+1m\n4cKFMhx39OhR1q5dS0FBQas64G+//Zb4+HhGjhxJVlYWiYmJxMTEMGjQIDlZWSwWKbrvP/GJSViE\n+4QtXbpUqkOJUhuDwSCZxiqVivT0dObMmSNzvgaDgWeffZbbbrsNl8sVoOkrxDcEYItJ+FKCF2az\nuVUv4EsBr7gv4VVZrdZWgNQSkP0BQQgi+Od7TSYTLpcrgORVUVHBggULAhSfTCaT7CUsrlej0ZCQ\nkNDq2v3VuoKDg5k7dy6rVq2SNbAhISHcddddvPPOO3g8Hs6cOcNNN91EUVERubm5aDQaBg0aRG5u\nLiNHjgwgNYlWgKK0SKfTMWTIED799FMaGxtZunQpI0eOpL6+nqSkJEwmk2wzKa5JhM31ej2xsbHY\nbDbp4Qsw9Ff1EvcnuhR16dIFrVbLli1b+J//+Z8AmUr/5yGOkZeXx6ZNmygvL2fq1KkMGDBAHlut\nVjNu3Dj57lzqvYmMjORf//oX0OzpihJBAJVKRWhoqATfKVOmEBwczPPPP49eryclJeWiPXqhuZVn\ncXExZWVl6HQ6brnlFrZv3y7rfl944QXS09NJTk7mtddeA5oX8/5KeUJasrGx8aLn6rB/zzrA909s\nDz/8MP379weamY1Go1GWjQjLyMjg6quvxu12069fP4YNG8bWrVvZtWsXRqORF154gddff116khER\nEfLLKOzEiROYzeaAsqQ5c+YwatQoPB6PZN7a7XZ27NgRkHsW9vnnnxMVFcWOHTtoaGigpqZGegr+\nYGcwGFrp5ep0Oj766KNW1yRa/wnwNRqN2Gw2nE4no0ePRlGa89nZ2dlyEhXEmOzsbDYwNcN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nK5mMrlIlYmQ4TZTKPqdvv71g6+/8ft0qVLUCqVaG5uxpgxYyCTybz0OAHg4sWLUKlUtMmlsrIS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\nDFW8v5Ic/sQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110c76a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Another way to draw the graph\n",
"nx.draw(poisson_G, node_size=100, pos=nx.random_layout(poisson_G))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Name: empty_graph(100)\n",
"Type: Graph\n",
"Number of nodes: 100\n",
"Number of edges: 517\n",
"Average degree: 10.3400\n"
]
}
],
"source": [
"print(nx.info(poisson_G))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Container object of 20 artists>"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAEACAYAAABF+UbAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nHAASI8QBILH/A5G9F7e1Rwu8AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1119aa0f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree distribution\n",
"degree_dist = nx.degree(poisson_G)\n",
"degree_freq_dist = Counter(list(degree_dist.values()))\n",
"plt.bar(list(degree_freq_dist.keys()), list(degree_freq_dist.values()), align='center')"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 8., 12., 12., 17., 29., 16., 4., 0., 1., 1.]),\n",
" array([ 0.01010101, 0.03535354, 0.06060606, 0.08585859, 0.11111111,\n",
" 0.13636364, 0.16161616, 0.18686869, 0.21212121, 0.23737374,\n",
" 0.26262626]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAEACAYAAACnJV25AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1106ca7b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree centrality\n",
"degree_centrality = nx.degree_centrality(poisson_G)\n",
"plt.hist(list(degree_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 37., 23., 24., 5., 5., 3., 0., 2., 0., 1.]),\n",
" array([ 0. , 0.0067204 , 0.01344081, 0.02016121, 0.02688162,\n",
" 0.03360202, 0.04032242, 0.04704283, 0.05376323, 0.06048364,\n",
" 0.06720404]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Ag8Dpi+1vnCP3US5eurB7IqmqW4F1SU4d8bHT1ic/VXUL8Mgy5j3UuPnXV9W+qtrdLf8Z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\nLXff5rLjjwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1113dc550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Betweenness centrality\n",
"betweenness_centrality = nx.betweenness_centrality(poisson_G)\n",
"plt.hist(list(betweenness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 1., 1., 5., 6., 16., 22., 27., 16., 5., 1.]),\n",
" array([ 0.30091185, 0.32675287, 0.35259389, 0.37843491, 0.40427593,\n",
" 0.43011694, 0.45595796, 0.48179898, 0.50764 , 0.53348102,\n",
" 0.55932203]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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xXnsNPgBYkPR1DQfxt2jtDwDeqjdOpbxB0tfrrtv3rWX/tkr6kWr6Skn/KulX+u7TuP1b\ntfx9kn5jHvZfy76l2HeSdq7427xR0pl52HcT6F+W/XeNpEc1/LB0q6STGn6D7lj7b+yhmLjMxUm2\nb6se/xsNj4R+x/Zrki5I+q311h23hi616Z+kXZL+Yfg/fC1I+nREHJl2H9ZTs39jrTuNuuto0zfl\n2Xe/Ken3bL8u6aLyvfbW7J+S7L+IOGX7ixr+HNwlSX8bEc9J0jj7jwuUACAZfhoPAJIh2AEgGYId\nAJIh2AEgGYIdAJIh2AEgGYIdAJIh2AEgmf8HXuztPEaNZ2gAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111ae66a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Closeness centrality\n",
"closeness_centrality = nx.closeness_centrality(poisson_G)\n",
"plt.hist(list(closeness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 8., 11., 14., 20., 24., 12., 5., 1., 2., 3.]),\n",
" array([ 0. , 0.03333333, 0.06666667, 0.1 , 0.13333333,\n",
" 0.16666667, 0.2 , 0.23333333, 0.26666667, 0.3 ,\n",
" 0.33333333]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAEACAYAAACnJV25AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111d67860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Clustering coefficient\n",
"clustering = nx.clustering(poisson_G)\n",
"plt.hist(list(clustering.values()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# Scale-free graph"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n",
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
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P5/DWqVOHYWFhfPjwYY59r1mzhhYWFrSwsOCVK1dIkocOHaK3tzfT0tJIPg7W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\nsv8BUhqot8OCbtwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111d360b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Scale free graph\n",
"scale_free_G = nx.Graph(nx.scale_free_graph(num_nodes))\n",
"nx.draw(scale_free_G, node_size=100)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Name: directed_scale_free_graph(100,alpha=0.41,beta=0.54,gamma=0.05,delta_in=0.2,delta_out=0)\n",
"Type: Graph\n",
"Number of nodes: 100\n",
"Number of edges: 153\n",
"Average degree: 3.0600\n"
]
}
],
"source": [
"print(nx.info(scale_free_G))"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Container object of 13 artists>"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1113a6c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree distribution\n",
"degree_dist = nx.degree(scale_free_G)\n",
"degree_freq_dist = Counter(list(degree_dist.values()))\n",
"plt.bar(list(degree_freq_dist.keys()), list(degree_freq_dist.values()), align='center')"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 91., 4., 1., 1., 1., 0., 0., 0., 1., 1.]),\n",
" array([ 0.01010101, 0.05353535, 0.0969697 , 0.14040404, 0.18383838,\n",
" 0.22727273, 0.27070707, 0.31414141, 0.35757576, 0.4010101 ,\n",
" 0.44444444]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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N9wt8CPitoefqDJk2NVczT+C6IC9h9ZO2dwHXdY+9Fnjtmm3e0z1/K3DpmcYOmQn4uW7i\nvwp8fSszAbtZvaZ3P/AD4NvAY+c5T7PkGniu3g/cBxzqvm4Z+jV1ukwDz9OfdMc8xOrZ37MXYJ42\nzDTPeZok17ptT5brkHN1ukybnSs/eCVJjfC/OJSkRlj4ktQIC1+SGmHhS1IjLHxJaoSFL0mNsPAl\nqREWviQ14v8AYfxOVOK7mPUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11181bc18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree centrality\n",
"degree_centrality = nx.degree_centrality(scale_free_G)\n",
"plt.hist(list(degree_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 93., 3., 1., 0., 1., 0., 0., 0., 1., 1.]),\n",
" array([ 0. , 0.04757431, 0.09514862, 0.14272293, 0.19029724,\n",
" 0.23787155, 0.28544586, 0.33302017, 0.38059448, 0.42816879,\n",
" 0.4757431 ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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b8Aoacy5eE8aci18F3p/kReAFDvO+8GYoSWqY/5G3JDXMyEtSw4y8JDXMyEtSw4y8JDXM\nyEtSw4y8JDXMyEtSw/4fcDB5u0ZhmGwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111f91c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Betweenness centrality\n",
"betweenness_centrality = nx.betweenness_centrality(scale_free_G)\n",
"plt.hist(list(betweenness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 8., 12., 4., 41., 8., 14., 6., 3., 1., 3.]),\n",
" array([ 0.24937028, 0.27794676, 0.30652325, 0.33509973, 0.36367622,\n",
" 0.39225271, 0.42082919, 0.44940568, 0.47798216, 0.50655865,\n",
" 0.53513514]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x112083860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Closeness centrality\n",
"closeness_centrality = nx.closeness_centrality(scale_free_G)\n",
"plt.hist(list(closeness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 77., 3., 2., 8., 0., 1., 3., 0., 0., 6.]),\n",
" array([ 0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x11181b5c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Clustering coefficient\n",
"clustering = nx.clustering(scale_free_G)\n",
"plt.hist(list(clustering.values()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# Small-world graph (Newman-Watts-Strogatz small-world graph)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n",
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": 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v35+33nqLoUOH0q5dO2rWrImfnx9KpRK1Wk1oaCiNGjWie/fujB8/noULF6LV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"text/plain": [
"<matplotlib.figure.Figure at 0x11231dba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Newman Watts Strogatz small world\n",
"# \n",
"# Return a Newman–Watts–Strogatz small-world graph.\n",
"# First create a ring over n nodes. Then each node in the ring is connected with its k nearest neighbors \n",
"# (or k - 1 neighbors if k is odd). Then shortcuts are created by adding new edges as follows: for each edge \n",
"# (u, v) in the underlying “n-ring with k nearest neighbors” with probability p add a new edge (u, w) \n",
"# with randomly-chosen existing node w. \n",
"small_world_G = nx.Graph(nx.newman_watts_strogatz_graph(num_nodes, 4, 0.5))\n",
"nx.draw_circular(small_world_G)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n",
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": 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aBw4cSHd3d65Zs4ZHjhxh27ZtaTAY2KZNGzZp0iRPvT1LBLJw4ULq9Xru2bPH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Y3U09ODUCgEm82Gvr6+TlW5DammLSkpwbBhw+Dp6Yl169YhICCgynqNRoPp06fDzs4Od+/e1emY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\ngy9jjDGmYhx8GWOMMRXj4MsYY4yp2P8Bg9Vn7xod7jAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11169eb38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Another way to draw the graph\n",
"nx.draw(small_world_G, node_size=100)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Name: newman_watts_strogatz_graph(100,4,0.5)\n",
"Type: Graph\n",
"Number of nodes: 100\n",
"Number of edges: 300\n",
"Average degree: 6.0000\n"
]
}
],
"source": [
"print(nx.info(small_world_G))"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Container object of 6 artists>"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1123fbb38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree distribution\n",
"degree_dist = nx.degree(small_world_G)\n",
"degree_freq_dist = Counter(list(degree_dist.values()))\n",
"plt.bar(list(degree_freq_dist.keys()), list(degree_freq_dist.values()), align='center')"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 10., 0., 22., 38., 0., 0., 21., 0., 6., 3.]),\n",
" array([ 0.04040404, 0.04545455, 0.05050505, 0.05555556, 0.06060606,\n",
" 0.06565657, 0.07070707, 0.07575758, 0.08080808, 0.08585859,\n",
" 0.09090909]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1122756d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree centrality\n",
"degree_centrality = nx.degree_centrality(small_world_G)\n",
"plt.hist(list(degree_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 13., 17., 14., 19., 18., 6., 4., 2., 4., 3.]),\n",
" array([ 0.00085584, 0.00626662, 0.0116774 , 0.01708818, 0.02249897,\n",
" 0.02790975, 0.03332053, 0.03873131, 0.0441421 , 0.04955288,\n",
" 0.05496366]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAJDQ/wBkqTtKuGkczQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112795f98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Betweenness centrality\n",
"betweenness_centrality = nx.betweenness_centrality(small_world_G)\n",
"plt.hist(list(betweenness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 2., 2., 9., 11., 15., 19., 19., 13., 5., 5.]),\n",
" array([ 0.28448276, 0.29501086, 0.30553896, 0.31606706, 0.32659517,\n",
" 0.33712327, 0.34765137, 0.35817947, 0.36870758, 0.37923568,\n",
" 0.38976378]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAEACAYAAACnJV25AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDgDJEHYASOZ/XYW+PxTb9qkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1128a75f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Closeness centrality\n",
"closeness_centrality = nx.closeness_centrality(small_world_G)\n",
"plt.hist(list(closeness_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 9., 20., 32., 25., 0., 3., 0., 10., 0., 1.]),\n",
" array([ 0.08333333, 0.14166667, 0.2 , 0.25833333, 0.31666667,\n",
" 0.375 , 0.43333333, 0.49166667, 0.55 , 0.60833333,\n",
" 0.66666667]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x112411748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Clustering coefficient\n",
"clustering = nx.clustering(small_world_G)\n",
"plt.hist(list(clustering.values()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# Community graph (Relaxed caveman graph)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors_original != str('face'):\n",
"/Users/kent/.virtualenvs/nxsim/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": 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OHNCf+5tvvqGrqyvPnDmj3zZmzBiOGDGCX3/9NQMDA/UtY0dHR7755pv6/Ro1asTDhw9X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\nAQEB+gFdFYmKisK0adNw7Ng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Hj+aXX37JBg0aVMuAokuXLrF9+/Zs27ZttXy5MXQ0fXlf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\nMWyLlgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1118ba518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Caveman graph\n",
"# A relaxed caveman graph starts with l cliques of size k. \n",
"# Edges are then randomly rewired with probability p to link different cliques.\n",
"caveman_G = nx.Graph(nx.relaxed_caveman_graph(int(num_nodes/10), 10, 0.1))\n",
"nx.draw(caveman_G, node_size=100)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Name: relaxed_caveman_graph (10,10,0.1)\n",
"Type: Graph\n",
"Number of nodes: 100\n",
"Number of edges: 450\n",
"Average degree: 9.0000\n"
]
}
],
"source": [
"print(nx.info(caveman_G))"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<Container object of 5 artists>"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x112542550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree distribution\n",
"degree_dist = nx.degree(caveman_G)\n",
"degree_freq_dist = Counter(list(degree_dist.values()))\n",
"plt.bar(list(degree_freq_dist.keys()), list(degree_freq_dist.values()), align='center')"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 1., 0., 19., 0., 62., 0., 0., 15., 0., 3.]),\n",
" array([ 0.07070707, 0.07474747, 0.07878788, 0.08282828, 0.08686869,\n",
" 0.09090909, 0.09494949, 0.0989899 , 0.1030303 , 0.10707071,\n",
" 0.11111111]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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RY2qTmmbdT08Fngf8PvDmYdrOaUyNU9dC+qq77UXAecCt647PekyNU9NI/TTsjP7wm6Oq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\n1DiDXpIaZ9BLUuMMeklq3P8D3A/kNJKmxYYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1129a4ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degree centrality\n",
"degree_centrality = nx.degree_centrality(caveman_G)\n",
"plt.hist(list(degree_centrality.values()))"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 59., 15., 8., 8., 5., 3., 0., 0., 0., 2.]),\n",
" array([ 0. , 0.01739815, 0.0347963 , 0.05219445, 0.0695926 ,\n",
" 0.08699075, 0.1043889 , 0.12178705, 0.1391852 , 0.15658335,\n",
" 0.1739815 ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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