{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "b6535345", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# netowrks\n", "import networkx as nx\n", "import igraph as ig\n", "\n", "# data processing\n", "import pandas as pd\n", "import numpy as np\n", "\n", "#some functions to make our lifes easier\n", "import sys\n", "sys.path.append(\"./\")\n", "from common_functions import *\n", "\n", "# viz\n", "import pylab as plt\n", "import seaborn as sns\n", "%matplotlib inline\n", "\n", "#Change the default options of visualization (improving the defaults)\n", "custom_params = {\"axes.spines.right\": False, \"axes.spines.top\": False, \"axes.spines.left\": False, \"axes.spines.bottom\":\n", "False,\"lines.linewidth\": 2, \"grid.color\": \"lightgray\", \"legend.frameon\": False, \"xtick.labelcolor\": \"#484848\", \"ytick.labelcolor\":\n", "\"#484848\", \"xtick.color\": \"#484848\", \"ytick.color\": \"#484848\",\"text.color\": \"#484848\", \"axes.labelcolor\": \"#484848\",\n", "\"axes.titlecolor\":\"#484848\",\"figure.figsize\": [5,3],\n", "\"axes.titlelocation\":\"left\",\"xaxis.labellocation\":\"left\",\"yaxis.labellocation\":\"bottom\"}\n", "palette = [\"#3d348b\",\"#e6af2e\",\"#191716\",\"#e0e2db\"] #use your favourite colours\n", "sns.set_theme(context='paper', style='white', palette=palette, font='Verdana', font_scale=1.3, color_codes=True,\n", "rc=custom_params)\n", "\n", "from IPython.display import display, HTML\n", "display(HTML(\"\"))" ] }, { "cell_type": "markdown", "id": "4767bb68", "metadata": {}, "source": [ "# Exercise 1: Reading and visualizing graphs" ] }, { "cell_type": "markdown", "id": "9a2566d2", "metadata": {}, "source": [ "## 1.1. Basic plot\n", "- Read and understand the following code\n", "\n", "(nothing to code!)" ] }, { "cell_type": "code", "execution_count": 9, "id": "5b408279", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nodes: ['Acciaiuoli', 'Medici', 'Castellani', 'Peruzzi', 'Strozzi', 'Barbadori', 'Ridolfi', 'Tornabuoni', 'Albizzi', 'Salviati', 'Pazzi', 'Bischeri', 'Guadagni', 'Ginori', 'Lamberteschi']\n", "Edges: [('Acciaiuoli', 'Medici'), ('Medici', 'Barbadori'), ('Medici', 'Ridolfi'), ('Medici', 'Tornabuoni'), ('Medici', 'Albizzi'), ('Medici', 'Salviati'), ('Castellani', 'Peruzzi'), ('Castellani', 'Strozzi'), ('Castellani', 'Barbadori'), ('Peruzzi', 'Strozzi'), ('Peruzzi', 'Bischeri'), ('Strozzi', 'Ridolfi'), ('Strozzi', 'Bischeri'), ('Ridolfi', 'Tornabuoni'), ('Tornabuoni', 'Guadagni'), ('Albizzi', 'Ginori'), ('Albizzi', 'Guadagni'), ('Salviati', 'Pazzi'), ('Bischeri', 'Guadagni'), ('Guadagni', 'Lamberteschi')]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# data on florentine marriage families in the XV century\n", "G = nx.florentine_families_graph()\n", "print(\"Nodes: \", G.nodes())\n", "print(\"Edges: \", G.edges())\n", "\n", "# create figure and plot\n", "plt.figure(figsize=(5,4))\n", "\n", "# create layout (once so we can reuse it if needed)\n", "pos = nx.spring_layout(G, seed = 1)\n", "nx.draw(G, pos = pos, with_labels = True, \n", " edge_color = \"gray\", node_color = \"lightgray\")" ] }, { "cell_type": "markdown", "id": "1da80e98", "metadata": {}, "source": [ "## 1.2. Read and visualize the Twitter network\n", "\n", "We will be using (parts of) this network in the following days\n", "\n", "Use the nx.from_pandas_edgelist function\n", "\n", "Print number of nodes and edges" ] }, { "cell_type": "code", "execution_count": 10, "id": "d0170e2d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1554\n", "30412\n" ] } ], "source": [ "# Read edgelist\n", "df = pd.read_csv(\"../Data/ic2s2_netsci_3.tsv\", sep=\"\\t\")\n", "\n", "# Convert to networkx\n", "...\n", "\n", "# Remove selfedges\n", "G.remove_edges_from(nx.selfloop_edges(G)) #remove self-edges\n", "print(len(G.nodes()))\n", "print(len(G.edges()))" ] }, { "cell_type": "code", "execution_count": 11, "id": "5251186d", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create figure and plot (use with_labels = False and node_size=10)\n", "plt.figure(figsize=(20,16))\n", "\n" ] }, { "cell_type": "markdown", "id": "a8178dbf", "metadata": {}, "source": [ "## 1.3. Read and visualize your network\n", "Network here: https://tinyurl.com/network-game\n", "(download it as a CSV file and move it to the folder of this notebook) \n", "\n", "Use the nx.from_pandas_edgelist function\n", "Print number of nodes and edges" ] }, { "cell_type": "code", "execution_count": null, "id": "c667a9a2", "metadata": {}, "outputs": [], "source": [ "# Read edgelist\n", "df = pd.read_csv()\n", "# Convert to networkx\n" ] }, { "cell_type": "code", "execution_count": null, "id": "ea2cc766", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e6b1b5a9", "metadata": {}, "source": [ "## 1.4. Read and visualize a large(r) network \n", "- Read network in \"../Data/wiki-Vote.txt\". Careful, it is a directed network, you need to use the create_using parameter.\n", "\n", "(use iterations = 30 in the spring_layout)\n" ] }, { "cell_type": "code", "execution_count": 19, "id": "54c36775", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7115\n", "103689\n" ] } ], "source": [ "# Read directed graph\n", "\n", "\n", "print(len(G_wiki.nodes()))\n", "print(len(G_wiki.edges()))" ] }, { "cell_type": "code", "execution_count": 20, "id": "cfcc7e9c", "metadata": {}, "outputs": [], "source": [ "# Create layout (this will take a couple minutes). Networkx is a particularly slow library\n", "pos = nx.spring_layout(G_wiki, seed = 1, iterations=30)" ] }, { "cell_type": "code", "execution_count": 21, "id": "1e9a6c51", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nobody wants to see your hairball, but let's plot it anyway\n", "plt.figure(figsize=(20, 20))\n", "\n", "# Plot only nodes (too many lines)\n", "nx.draw_networkx_nodes(G_wiki, pos = pos, node_size = 1, node_color = \"k\")\n" ] }, { "cell_type": "markdown", "id": "fde349c9", "metadata": {}, "source": [ "# Exercise 2: Describe the network, compare with random networks:\n", "- (random random (Erdős-Rény), scale-free network (Barábasi-Albert), configuration model)\n", "\n", "Find the following attributes\n", "- Number of nodes\n", "- Number of edges\n", "- Average degree\n", "- Density\n", "- Clustering coefficient\n", "- Number of triangles\n", "- Assortativity\n", "- Diameter\n", "- Are there node disconnected? (see nx.number_of_isolates)" ] }, { "cell_type": "code", "execution_count": 22, "id": "74419014", "metadata": {}, "outputs": [], "source": [ "# Read data on florentine marriage families in the XV century\n", "G = nx.florentine_families_graph()" ] }, { "cell_type": "code", "execution_count": 23, "id": "e2706a6d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Acciaiuoli',\n", " 'Medici',\n", " 'Castellani',\n", " 'Peruzzi',\n", " 'Strozzi',\n", " 'Barbadori',\n", " 'Ridolfi',\n", " 'Tornabuoni',\n", " 'Albizzi',\n", " 'Salviati',\n", " 'Pazzi',\n", " 'Bischeri',\n", " 'Guadagni',\n", " 'Ginori',\n", " 'Lamberteschi']" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# List of nodes\n", "list(G.nodes())" ] }, { "cell_type": "code", "execution_count": 24, "id": "67ac0d5e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Acciaiuoli', 'Medici'),\n", " ('Medici', 'Barbadori'),\n", " ('Medici', 'Ridolfi'),\n", " ('Medici', 'Tornabuoni'),\n", " ('Medici', 'Albizzi'),\n", " ('Medici', 'Salviati'),\n", " ('Castellani', 'Peruzzi'),\n", " ('Castellani', 'Strozzi'),\n", " ('Castellani', 'Barbadori'),\n", " ('Peruzzi', 'Strozzi'),\n", " ('Peruzzi', 'Bischeri'),\n", " ('Strozzi', 'Ridolfi'),\n", " ('Strozzi', 'Bischeri'),\n", " ('Ridolfi', 'Tornabuoni'),\n", " ('Tornabuoni', 'Guadagni'),\n", " ('Albizzi', 'Ginori'),\n", " ('Albizzi', 'Guadagni'),\n", " ('Salviati', 'Pazzi'),\n", " ('Bischeri', 'Guadagni'),\n", " ('Guadagni', 'Lamberteschi')]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# List of edges\n", "list(G.edges())" ] }, { "cell_type": "code", "execution_count": 25, "id": "7b7e4d0a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "15" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of nodes\n", "len(G.nodes())" ] }, { "cell_type": "code", "execution_count": 26, "id": "11193ce5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "20" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of edges\n", "len(G.edges())" ] }, { "cell_type": "code", "execution_count": 27, "id": "53f4f34b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DegreeView({'Acciaiuoli': 1, 'Medici': 6, 'Castellani': 3, 'Peruzzi': 3, 'Strozzi': 4, 'Barbadori': 2, 'Ridolfi': 3, 'Tornabuoni': 3, 'Albizzi': 3, 'Salviati': 2, 'Pazzi': 1, 'Bischeri': 3, 'Guadagni': 4, 'Ginori': 1, 'Lamberteschi': 1})" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Degree\n", "nx.degree(G)" ] }, { "cell_type": "markdown", "id": "380fd2d2", "metadata": {}, "source": [ "#### We can compare our network to randomly generated data (this is useful to test hypothesis/get a baseline)" ] }, { "cell_type": "code", "execution_count": 28, "id": "781d8d14", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize random graphs (run several times)\n", "degree_seq = [v for k,v in G.degree()]\n", "G_r = nx.configuration_model(degree_seq)\n", "G_r = nx.Graph(G_r)\n", "nx.draw(G_r)" ] }, { "cell_type": "code", "execution_count": 29, "id": "37f70945", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize random graphs (run several times)\n", "n = len(G)\n", "m = len(G.edges())\n", "G_r = nx.random_graphs.barabasi_albert_graph(n,int(m/n)+1)\n", "G_r = nx.Graph(G_r)\n", "nx.draw(G_r)" ] }, { "cell_type": "code", "execution_count": 30, "id": "3585a8e1", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize random graphs (run several times)\n", "n = len(G)\n", "m = len(G.edges())\n", "G_r = nx.random_graphs.gnm_random_graph(n,m)\n", "G_r = nx.Graph(G_r)\n", "nx.draw(G_r)" ] }, { "cell_type": "markdown", "id": "988cc14c", "metadata": {}, "source": [ "#### The function conf_int (defined in common_functions.py) creates 100 random graphs and calculates the desired metric" ] }, { "cell_type": "code", "execution_count": 31, "id": "4e526aa2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Conf. model 0.190 - 0.190\n", "ER graph 0.190 - 0.190\n", "BA graph 0.190 - 0.190\n" ] }, { "data": { "text/plain": [ "0.19047619047619047" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Density\n", "conf_int(G, nx.density, 100)\n", "nx.density(G)" ] }, { "cell_type": "code", "execution_count": 32, "id": "df91db1f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Conf. model 0.038 - 0.231\n", "ER graph 0.000 - 0.300\n", "BA graph 0.074 - 0.394\n" ] }, { "data": { "text/plain": [ "0.16" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Average local clustering coefficient\n", "conf_int(G, ..., 100)\n", "...\n", "#same as np.mean(list(nx.clustering(G).values()))" ] }, { "cell_type": "code", "execution_count": 33, "id": "4e1a32c4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Conf. model 0.064 - 0.319\n", "ER graph 0.060 - 0.294\n", "BA graph 0.061 - 0.278\n" ] }, { "data": { "text/plain": [ "0.19148936170212766" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Transitivity (global clustering)\n", "conf_int(G, ..., 100)\n", "..." ] }, { "cell_type": "code", "execution_count": 34, "id": "2eef8031", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Conf. model 1.000 - 4.000\n", "ER graph 1.000 - 6.000\n", "BA graph 0.950 - 5.000\n" ] }, { "data": { "text/plain": [ "3.0" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of triangles\n", "conf_int(G, lambda x: sum(nx.triangles(x).values())/3, 100)\n", "\n", "triangles_by_node = nx.triangles(G)\n", "sum(triangles_by_node.values())/3" ] }, { "cell_type": "code", "execution_count": 35, "id": "c49a4961", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Conf. model -0.427 - 0.092\n", "ER graph -0.445 - 0.106\n", "BA graph -0.501 - -0.075\n" ] }, { "data": { "text/plain": [ "-0.37483787289234866" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Assortativity\n", "conf_int(G, ..., 100)\n", "...(G)\n" ] }, { "cell_type": "code", "execution_count": 36, "id": "aa0032c1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Conf. model 4.000 - 6.000\n", "ER graph 4.000 - 6.750\n", "BA graph 4.000 - 6.000\n" ] }, { "data": { "text/plain": [ "5" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Diameter\n", "conf_int(G, ..., 100)\n", "...\n" ] }, { "cell_type": "code", "execution_count": 37, "id": "6bdd7b3c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Conf. model 0.000 - 0.000\n", "ER graph 0.000 - 2.000\n", "BA graph 0.000 - 1.000\n" ] }, { "data": { "text/plain": [ "0" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of isolates\n", "conf_int(G, ..., 100)\n", "\n", "..." ] }, { "cell_type": "markdown", "id": "d31ae41b", "metadata": {}, "source": [ "## 2.1 Compare those measures with the ones from the Twitter data\n", "Mentions between people that used the #netsci or #ic2s2 hashtags\n", "\n", "Comparing the florentine families and the twitter data, which network has a higher local clustering in the nodes with high degree?" ] }, { "cell_type": "code", "execution_count": 38, "id": "a0141ee6", "metadata": {}, "outputs": [], "source": [ "# Read data on Twitter (NetSci and IC2S2 conferences)\n", "df = pd.read_csv(\"../Data/ic2s2_netsci_3.tsv\", sep=\"\\t\")\n", "G_twitter = nx.from_pandas_edgelist(df)\n", "G_twitter.remove_edges_from(nx.selfloop_edges(G)) #remove self-edges" ] }, { "cell_type": "code", "execution_count": 39, "id": "15659bd8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Diam 6\n", "Assort -0.024370539945961448\n", "Densit 0.02572593750958207\n", "Average local clustering 0.3489598023492283\n", "Global clustering 0.21338970926777667\n" ] } ], "source": [ "..." ] }, { "cell_type": "markdown", "id": "e9985571", "metadata": {}, "source": [ "# Exercise 3: Distributions\n", "- Degree\n", "- Number of triangles\n", "- Clustering (transitivity)\n", "- Local assortativity (homophily)\n", "- Path length" ] }, { "cell_type": "code", "execution_count": 40, "id": "3d4837fe", "metadata": {}, "outputs": [], "source": [ "# Use the following function to plot the CDF of the degree distributions\n", "def plot_cdf(values, scale = \"log\", ax = None, cum = True, compl = False, marker = 'o-', xlabel = \"Degree (d)\", ylabel = \"p(Degree < d)\"):\n", " \"\"\"\n", " Calculates and plot CDF\n", " \"\"\"\n", " \n", " from collections import Counter\n", "\n", " # count the number of instance per each degree, sort it\n", " C = Counter(values)\n", " deg, cnt = zip(*sorted(C.items()))\n", " \n", " # calcualte the cumulative distribution, normalize to be a probability instead of a count\n", " if cum:\n", " cs = np.cumsum(cnt)/np.sum(cnt)\n", " else:\n", " cs = cnt/np.sum(cnt)\n", " \n", " if compl:\n", " cs = 1 - cs\n", " \n", " if ax is None:\n", " ax = plt.subplot()\n", " # plot\n", " ax.plot(deg, cs, marker)\n", " ax.set_ylabel(ylabel)\n", " ax.set_xlabel(xlabel)\n", " plt.tight_layout()\n", " sns.despine(left=True, bottom=True)\n", " plt.xscale(scale)\n", " plt.yscale(scale)\n", " " ] }, { "cell_type": "markdown", "id": "998712a3", "metadata": {}, "source": [ "## 3.1 Degree distribution" ] }, { "cell_type": "code", "execution_count": 41, "id": "913ddeb2", "metadata": {}, "outputs": [], "source": [ "def plot_network_distribution(G, values, mult = 1000):\n", " \"\"\"\n", " Plots network (color and node size depends on values) and distributions\n", " \"\"\"\n", " import matplotlib as mpl\n", " norm = mpl.colors.Normalize(vmin=min(values), vmax=max(values), clip=True)\n", " mapper = mpl.cm.ScalarMappable(norm=norm, cmap=mpl.cm.coolwarm)\n", "\n", "\n", " f, (a0, a1, a2) = plt.subplots(1, 3, gridspec_kw={'width_ratios': [2, 1, 1]}, figsize=(12,4))\n", " \n", " node_size = mult*np.array(list(values))\n", " if min(node_size) < 0:\n", " node_size -= min(node_size)\n", " node_size += 1\n", " \n", " nx.draw(G, pos = nx.spring_layout(G, seed = 1), with_labels = True, node_size = node_size, edge_color = \"gray\", \n", " node_color = [mapper.to_rgba(i) for i in values], ax = a0,)\n", "\n", "\n", " sns.histplot(values, ax = a1)\n", " \n", " \n", " plot_cdf(values, ax = a2, compl = False, xlabel = \"Cent c\", ylabel = \"p(Cent > c)\")" ] }, { "cell_type": "code", "execution_count": 42, "id": "3033f75e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Acciaiuoli', 1),\n", " ('Medici', 6),\n", " ('Castellani', 3),\n", " ('Peruzzi', 3),\n", " ('Strozzi', 4),\n", " ('Barbadori', 2),\n", " ('Ridolfi', 3),\n", " ('Tornabuoni', 3),\n", " ('Albizzi', 3),\n", " ('Salviati', 2),\n", " ('Pazzi', 1),\n", " ('Bischeri', 3),\n", " ('Guadagni', 4),\n", " ('Ginori', 1),\n", " ('Lamberteschi', 1)]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 6]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Degree distribution\n", "degree = G.degree() #also nx.degree(G)\n", "degree_values = [degree for node, degree in degree]\n", "display(list(zip(G.nodes(), degree_values)))\n", "\n", "# Plot using sns.histplot\n", "sns.histplot(degree_values)\n", "print(sorted(degree_values))" ] }, { "cell_type": "code", "execution_count": 43, "id": "3d1faa5f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot CDF in log-log scale\n", "plot_cdf(degree_values, scale = \"log\", ax = None, cum = True, compl = False)" ] }, { "cell_type": "code", "execution_count": 44, "id": "6a9dcf85", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_network_distribution(G, degree_values, mult = 100)" ] }, { "cell_type": "markdown", "id": "3f57f36b", "metadata": {}, "source": [ "## 3.2 Distribution of number of triangles" ] }, { "cell_type": "code", "execution_count": 45, "id": "cbe7b2f0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Acciaiuoli', 0),\n", " ('Medici', 1),\n", " ('Castellani', 1),\n", " ('Peruzzi', 2),\n", " ('Strozzi', 2),\n", " ('Barbadori', 0),\n", " ('Ridolfi', 1),\n", " ('Tornabuoni', 1),\n", " ('Albizzi', 0),\n", " ('Salviati', 0),\n", " ('Pazzi', 0),\n", " ('Bischeri', 1),\n", " ('Guadagni', 0),\n", " ('Ginori', 0),\n", " ('Lamberteschi', 0)]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Distribution of the number of triangles per node\n", "n_triangs = nx.triangles(G).values() \n", "display(list(zip(G.nodes(), n_triangs)))\n", "\n", "plot_network_distribution(G, n_triangs, mult = 100)" ] }, { "cell_type": "markdown", "id": "4ec072d6", "metadata": {}, "source": [ "## 3.3 Distribution of local clustering\n", "Use the same format as in the previous code block" ] }, { "cell_type": "code", "execution_count": 46, "id": "f713c1f6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Acciaiuoli', 0),\n", " ('Medici', 0.06666666666666667),\n", " ('Castellani', 0.3333333333333333),\n", " ('Peruzzi', 0.6666666666666666),\n", " ('Strozzi', 0.3333333333333333),\n", " ('Barbadori', 0),\n", " ('Ridolfi', 0.3333333333333333),\n", " ('Tornabuoni', 0.3333333333333333),\n", " ('Albizzi', 0),\n", " ('Salviati', 0),\n", " ('Pazzi', 0),\n", " ('Bischeri', 0.3333333333333333),\n", " ('Guadagni', 0),\n", " ('Ginori', 0),\n", " ('Lamberteschi', 0)]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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hRM5KTU3NMDW7dOnShISEpNtWokQJhg4dyjfffENcXBxr1qwhMTGRfv36Zel6QUFB2NjY6NoUABQvXpyAgIDXHrtw4UKePHnCvHnzCAwMzNJ1Rd4REhzL15N3kJampc+A2nTo7KzvkHI1GZkS4h0lJyfTpUsXDh48SK1atQBYv349HTt25PHjx29d8UhRFP766y/27NlDUFAQdevWzbSoxIULF4iIiACgW7dudOvW7d1uSAghxHtTqVIlfH19OXv2LHXr1iUkJAQ/Pz9Kly6dYd+mTZsSGxvLuHHjcHR05Ntvv0Wtztrn4snJyZiYpK88aWJiQnJy8muPnThxYpauJfKe5OQ0vpq8g4iIBGrVKcWY8c31HVKuJ8mUEO8oISGBqKgo4uLidNsGDRpEoUKF0Gg0fPbZZ5w9e5bY2FgUReH333+ncePGun1XrFjBrl272LVrFwC3b9+mZcuWfPvtt4wZM4bDhw/TpUsXxo0bx5QpUwgPD8fKyooNGzYQFRXFsmXL0Gg0WFtbU7FiRbZu3cru3bvf+/sghBAi6+zs7JgyZQq//fYb8+bNo2zZssTGxlKkSJFM9zcyMiI1NRUjI6MsJ1LwLHHSaDTptmWWYImCR1EUFv5wiLu3gyjmVIgZP3TB0FAmsb2OvENCvCNbW1vmzZtHhw4dKFeuHEOGDGH16tW0adOGS5cuERAQwJkzZ7h9+zZDhw5lzpw56Y4fMGAA//zzj+6TyXHjxlGvXj1atmwJgJubG4cOHcLGxoYzZ85w//596taty9KlS6lfvz4eHh7069eP2bNn6+P2hRBCvKO6deuyYsUKtm3bxvfff09SUlKm1fzOnj3Lli1bWLp0KY6OjixevJistgstVqwYoaGhJCUl6bb5+/vj6Oj4zvch8rY/va6wf88tTE0N+X5+D2xszPUdUp4gyZQQ2eCzzz4jODiYJUuW4OjoyNy5c6lZsybVqlVj1qxZLF++nEmTJrF169Z0I1gAVlZWtGnThilTpuDr68vt27dZsmQJlStX1u3Tu3dv3N3d+fnnn/n00085fvx4hvMIIYTIm2JjY9FoNPj7+zNnzhyaN2+OnZ1dun38/f1Zvnw53333HTY2NowePZrU1FS2bNmSpWtZWVlRtWpVvLy8SExM5MSJE0RHR+PsLOtiCrLLF5/w3x+PATB1egcqVMp8ZFRkJMmUEO/o1KlTzJ8/HysrK7p06cK8efO4desWKpWK7du307lzZwC6d++Oh4dHuk8RNRoNe/fupXjx4ly9ehVLS0uqV69O2bJl013j119/Zfjw4ZibmzNw4EAGDBiQ5U8jhRBC5E4bN26kR48eTJ8+HWdnZ4YNG5ZhHycnJ+bNm0fRokUBUKlUTJo0ibZt22Z6zm3bttGvXz9u377N4sWL6devHykpKQB8+umnXL9+nb59+7Ju3TqmTp2ariCFKFgCA6L5ZuouNBqFQUPr0artu/c4K0hkzVQulJqaSqlSpahRowb79u17q3NcvHiROXPmsHXr1lfuV6NGDY4fP56ub0VWqFQqQkNDOX36NIcPH2bJkiVvdZ68zMHBgVmzZtGwYUOaNGkCQGBgINHR0WzatImuXbsyZswYEhMTmTt3rm6uemJiImfPnqVixYrMmTOHI0eOMHPmzEwX+B44cAB3d3eGDx9OVFQUY8eOpWrVqgAYGhqSmpr6/m5YCCFEtho1ahSjRo165T4qlQoHB4d024yMjLC1tc10/549e9KzZ89MX3NycmLhwoVvF6zIV5KSUvly0naioxOp36gsI8Y00XdIeY6MTOVC27Zto0aNGly8eJE7d+681Tnq1Knz2kQK4OrVq2+dSL2oW7duBTKRgmeVmLZv3860adMoV64c1apVo2/fvqxevZrFixdz/PhxXFxcqFWrFuXLl+fx48ecOHGChw8fUq5cOXr27ImpqSkjR47k0aNH9OjRI8M1Jk2axPLly3F1daVp06bUqlULb29vAFq1asWBAwcYN27ce75zIYQQQuRViqIw97sDeD8IpUQpW6bP6oyBgaQGWaVSZK5QrtOiRQv69+/PzZs3SUtLY9myZQCsWrWKhQsXYmBgQOHChfnjjz8oWbJkptsfPnzIJ598ws2bN7l//z5jx44lNjaWwMBAatSogZeXF6amprqRpd27d6erArdmzRrd99HR0YwdO5arV6+iUqno2LEj33//PYaGhi89XmQuKiqKv/76C7VaTY8ePbC2ttZ3SELkeQnxyWzyvKjXGPoPqoO5hVRDE0LkHRvWnmfZzycwMzdi+epBlClXWN8h5UmSfuYyt2/f5syZM/Tp04ehQ4eydu1awsPDuXbtGlOmTGH//v1cv36dbt26MXv27Jduf9Fvv/3G0KFDOXv2LN7e3jx+/Jg9e/a8cUzjx4/H3t6eGzducPHiRa5du/baZrMiPUVRuHbtGr/99huVK1fmww8/lERKCCGEEHpx7vRjli89AcBXMztLIvUOZM1ULvPrr7/SpUsX7O3tsbe3p2zZsqxYsQITExPat29PyZIlAZgwYQIAixYtynT78ePHdeecO3cuu3fv5uuvvyYwMJCAgIAsVYLbt28fp06dQqVSYWJigoeHBz/++CNTp07NlnvO7xITE9mzZw8hISEMGTKEYsWK6TskIYQQQhRQfk8j+far3SgKfDSqEU2bV9B3SHmaJFO5SHx8POvWrcPExIQyZcoAEBMTw9KlS5k8eTIqlUq3b2JiIr6+vrqpdv/e/qIBAwYQHR1N4cKFGTVqFE+ePMlQCU6lUqXb9rziD4BWq013Da1WKwUP3tCjR4/YsWMHVatWpXv37hgZGek7JCGEEEIUUAnxKUybuJ242GSaNK/A0OEN9R1SnifT/HIRT09P7O3tCQgIwMfHBx8fHx49ekRcXBxRUVEcPnyYwMBAAJYvX87kyZNp2bJlpttfdODAAebOncuUKVPYvXs3Z8+ezdD93MHBgZs3b5KUlERqamq64hXt27dn6dKlKIpCcnIyK1aseGkpVvFMWloaBw4cYPv27XTr1o0OHTpIIiWEEEIIvdFqFWbP2IvP43BKl7XjyxkdUatVrz9QvJKMTOUiv/76K5999hkGBga6bTY2NowfP57du3czf/58OnToAICjoyOrVq3Cyckp0+3379/XneP777/ngw8+wMLCAgMDA0qVKsWtW7fSXbtdu3Y0b96cKlWq4OjoSMuWLbl+/ToAS5YsYdy4cbi4uJCSkkKHDh348ssvc/rtyLOCg4PZtm0b9vb2eHh4YG4uHcSFEEIIoV9rV57h5HFvLC1N+H7BB1hYStGc7CDV/AqgM2fOcPHiRT766CMsLS31HU6+oSgKZ8+e5Z9//qFt27a4ubmlmx4phMgZUs1PCCFe7Z+/vZk2aTsqFcz7sRf1G5XVd0j5hoxMFUANGzYkOTmZdevW4e7ujpmZmb5DyvNiYmLYvn07aWlpjBgx4qVNFIUQQggh3iefx+HM+mYvAKPGNpVEKpvJmqkCqnnz5pQrVw5PT0+Sk5P1HU6eduvWLVasWEGZMmVwd3eXREoIIYQQuUJsbBLTJm0nIT6Flm0qM/DDevoOKd+RZKqAUqlUtGvXjqJFi7Jp0yapzvcWkpKS+Ouvvzh27BgDBw6kWbNmqNXyT0oIIYQQ+qfRaJn51R78nkRSoaIDU6e3l+UHOUCe/AowlUpF586dsbKyYvPmzRkq/ImX8/X1Zfny5RgbGzNq1CicnJz0HZIQQgghhM6q5ac4d/ox1tZmzF7QAzMzY32HlC9JMlXAqdVqunfvjoGBAdu2bUOr1eo7pFxNo9Fw+PBhtm7dSseOHencuTPGxvLDSQghhBC5x7HD91i3+hwGBipmfN8FRydrfYeUb0kyJTAwMKB3794kJSWxa9euDA19xTOhoaH8/vvvhIaG4uHhQaVKlfQdkhBCCCFEOg8fhPLDt/sAGDO+BbXrldZzRPmbJFMCAENDQ/r160d4eDj79++XhOoFiqJw/vx51qxZQ506dejfvz8WFhb6DksIIYQQIp3oqESmTdpOUlIa7TtXo8+AWvoOKd+TZEroGBsbM3DgQJ48ecLRo0f1HU6uEBcXx4YNG7h+/TrDhg2jdu3asnhTCCGEELlOWpqWGdN2ERgQTZWqRZk0ta08s7wHkkyJdExNTRk8eDB3797ln3/+0Xc4enXnzh2WLVuGk5MTH330Efb29voOSQghhBAiU8t+/ptLF55ga2fOd/O6Y2JqpO+QCgRp2isysLCwYMiQIaxZswZjY2Pq1StYPQlSUlLYv38/Pj4+9OvXj5IlS+o7JCGEEEKIlzqw9xabN1zCwEDNd3O7UbRYIX2HVGDIyJTIVKFChRgyZAinTp3i6tWr+g7nvfHz82PZsmUoisLo0aMlkRJCCCFErnb3dhDzZx8EYMLnrXCtUULPERUsMjIlXsrW1pbBgwezdu1ajI2NqVatmr5DyjEajYaTJ09y8eJFOnfuTNWqVfUdkhBCCCHEK0WEx/Pl5ztISdHQ9QNXuveqoe+QChxJpsQrOTg4MHDgQDw9PTEyMqJixYr6DinbhYeH89dff2Fqasro0aOxsrLSd0hCCCGEEK+Umqph+he7CA2JpbqrE59OaqXvkAokmeYnXsvR0ZF+/fqxfft2fHx89B1OtlEUhUuXLrFq1SpcXV0ZNGiQJFJCCCGEyBN+XnSM61f8KOxgycy53TA2ljESfZBkSryRkiVL0qtXL7Zs2YK/v7++w3ln8fHxeHl5cfHiRdzd3alXr56UDxVCCCFEnrB7+3W2b72KkZEBs+Z3p3BhS32HVGBJMiXeWLly5ejWrRsbN24kODhY3+G8tQcPHrBs2TIKFy7MiBEjcHBw0HdIQgghhBBv5Ob1ABbNPQzAxKltqObsqOeICjYZDxRZUrlyZVJSUvD09GTo0KF5qvdSamoqBw8e5MGDB/Tu3ZvSpUvrOyQhhBBCiDcWFhrHV5N3kJampVe/mnTq5qLvkAo8GZkSWebi4kKLFi1Yt24d0dHR+g7njQQEBLB8+XJSUlLw8PCQREoIIYQQeUpKShpfTd5BRHg8NWuXZOyEFvoOSSDJlHhLtWrVokGDBqxdu5a4uDh9h/NSWq2WkydP4unpSYsWLfjggw8wNTXVd1hCCCFEnvPVV1/Rq1cvNBqNvkMpcBRFYdHcw9y+GUjRYlZ8+0NXDA0N9B2WQJIp8Q4aNGiAq6sr69atIzExUd/hZBAZGcmaNWt49OgRo0aNonr16voOSQghhMizZs2aRfny5fUdRoH015ar7N15ExMTQ2Yv6IGNrbm+QxL/I8mUeCfNmjWjfPnyrF+/nuTkZH2HAzz79ObatWv8/vvvVKlShQ8//BBra2t9hyWEAM6fP8+ECRPo0aMHY8eO1Xc4QuQK9+/f57PPPqNHjx4MHz6co0ePZst5IyIimDBhAidPnky3PTg4mM8//5xu3boxcuRIbty4kS3XEznj6qWn/LzoGABTvm5PpcpF9RyReJEUoBDvRKVS0bZtW/bs2cPGjRsZNGgQRkZGeosnMTGR3bt3ExYWxocffkjRovIDR4jc4vz58/z222+MGzeOKlWqEB8fr++QhNA7rVbLjBkzGDNmDA0bNuT+/ftMnz6dSpUqUaJEiXT7RkVFYWNjo/teo9GQkJCQaY9ELy8v1q5di1arzfDa4sWLcXZ2ZsaMGZw/f545c+awevVq4uPjmTdvXrp9q1SpwtChQ7PnZkWWBQfFMP2LnWg0WgYMqUub9lX1HZL4FxmZEu9MpVLRuXNnChUqxObNm/U2l/rhw4csW7aMQoUKMXLkSEmkhMhlVq1axeTJk3F1dcXY2BhbW1t9hySE3sXGxhIdHY2bmxuGhoZUq1YNBwcHQkJC0u3n5+fHpEmTCAsL02376aef2L17d6bn7devH3v27MHFJX21t9jYWO7cucPAgQOxsLCgZcuWFCpUiNu3b2Nra8sPP/yQ7j9JpPQnKSmVaZO2ExWZSN0GZRg1tqm+QxKZkGRKZAuVSkWPHj0wNDTkzz//zPSTsJySlpbG/v372blzJ927d6d9+/YYGsqgqxC5SWhoKIGBgWzatIm+ffsyaNAgtmzZou+whNA7a2trmjVrxuTJkzl79iyXLl3CyMgoQxJUokQJhg4dyjfffENcXBxr1qwhMTGRfv36Zel6QUFB2NjYYGxsrNtWvHhxAgICXnvswoULefLkCfPmzSMwMDBL1xVZoygK82Yd5MG9EIqXsOGbWZ0xMJDH9txInjhFtlGr1fTq1YuNGzfqEhuVSpWj1wwKCmLbtm04ODjg4eGBmZlZjl5PCPF2wsLCsLCwoG/fvnzxxRcEBATw5ZdfUrJkSRo0aKDv8ITQq0aNGhEaGsru3bu5cuUKH3/8caZT5ps2bUpsbCzjxo3D0dGRb7/9FrU6aw/YycnJmJiYpNtmYmLyRuueJ06cmKVribfn5XmRwwfuYGZmxOz53SlkLc83uZUkUyJbGRoa0q9fPzw9Pdm3bx8dO3bMkYRKURTOnDnDqVOnaNeuHa6urjmeuAkh3o25uTmVK1cGoFSpUrRu3ZobN25IMiUKND8/P1auXMmKFSswNjbGz8+PqVOn4uTkRM2aNTPsb2RkRGpqKkZGRllOpOBZ4vTv6fiZJVhCfy6c82HZzycAmDajI+UqOOg5IvEqMl4osp2xsTEDBgzAz88v2yoSvSg6Opq1a9dy7949Ro4ciZubmyRSQuRyRYsWJTQ0NF0bBY1Gk26qkRAF0ePHj3FwcND9WyhRogRubm48evQow75nz55ly5YtLF26FEdHRxYvXoyiKFm6XrFixQgNDSUpKUm3zd/fH0dHx3e7EZEt/P2imDFtN1qtwtDhDWjeqpK+QxKvIcmUyBGmpqYMHjyYe/fuZSjJ+i5u3rzJihUrKFeuHEOHDk1X1UgIkXvZ2dnh7OzMsmXLSExM5OHDhxw7dowmTZroOzQh9KpSpUo8fPiQEydOkJqaire3N9euXcPV1TXdfv7+/ixfvpzvvvsOGxsbRo8eTWpqapbXHlpZWVG1alW8vLxITEzkxIkTREdH4+zsnJ23Jd5CQkIK0yZtJzYmiUZNy/PRqMb6Dkm8AZWS1Y80hMiC2NhYVq9eTYMGDahXr95bnycpKYm9e/cSEBBAz549cXJyysYohRDvQ1RUFEuWLOHq1avY2dnx0Ucf0bjxuz8sJMQns8nzYjZE+Pb6D6qDuYVMkxJv58KFC6xZswZ/f3+KFi3KkCFDMnzQoCgKYWFhODj8/5Sv1NRU4uLiMq2MuW3bNry8vIiPj8fY2BgjIyPWrVuHsbExAQEBLFy4kPv371OsWDHGjRuXIXkT75eiKEyfupO/jz6gVBk7lq8ehIWl/EzJCySZEjkuKiqK1atX07JlS2rUqJHl4318fNi+fTuVKlWibdu2eu1jJYTIfSSZEkLkdWtXneX3X//BwsKY5WsGU6qMnb5DEm9IClCIHGdjY8OQIUP4448/MDIyeuOpBBqNhmPHjnHt2jW6detGxYoVczhSIYQQQoj36/TJh6xc9g8qFUyf1VkSqTxGkinxXhQuXJhBgwaxfv16jI2NqVixIlqtQmBYGhqNgqODEUaG/19EIjQ0lG3btmFtbY2HhwcWFhZ6jF4IIYQQIvs98Yngu6/3oCgw8uMmNGxSXt8hiSySAhTinfn4+KBSqWjevHmG19zd3VGpVISFhVGsWDH69+/P9u3b2bLPl/Fzgpi5PJTZv4Ux7odANuyNQqPR0qdPHwYOHEjdunVZu3Ytvr6+L732xYsX6d27d07enhBCCCFEtouLS2bapO3Ex6fQonUlBrvX13dI4i3IyJTIFqampty7dw9fX19Kly4NQHx8PKdOnUq3X4kSJXCs1Jcdf2vQkr7PxcEzcVy8+ojw8HDq1q1LrVq12Lt37yuvW6dOHbZu3Zq9NyOEEEIIkYO0WoVZX+/hiW8E5SoUZur0DtLmJY+SkSmRLQwMDHTNep/btm0b3bt3132/a9cu6tWrzwSPzhxY348w/0sApCbH8s/2MWz7pTkbln9MShqYmT3r9F2mTBkuXny2sHzVqlU4Ozvj6upKq1atePr0KcePH6d69erv8U6FEEIIId7N6hWnOP3PI6wKmfL9/B6Ym0vPvbxKkimRbT788EPWrVun+/6PP/7A3d0deNaUcNq0aXy/+E+6jTxAvfZzOPnXKNJSErjxz0IMjEzpPOI4jbov586dexnOfe3aNaZMmcL+/fu5fv063bp1Y/bs2e/r1oQQQgghssXfR+/zx8qzqNUqvv2+K04lbPQdkngHMs1PZJvatWtjYGDApUuXKFKkCLGxsbpRo3379hEYGMiYYZ0Ij9KgACqVitgoH4J8/qFW6xmoVCpMze1xqdM5w7mPHDlC+/btKVmyJAATJkwA4Pjx4+/p7oQQQggh3s0j71C+n7EPgDHjm1Onfmk9RyTelSRTIlsNGTKE9evX4+DgwJAhQ3TbIyMjqVatGh27D+dOWBPSFBPiYwIwsyz6vz2etTtTkYomJYqwMGM0mv9fU2VoaJhuLnFiYuIrC1MIIYQQQuQmMdGJTJu0ncTEVNp2qErfgbX1HZLIBjLNT2SrwYMHs2XLFjZu3IirqytbtmwBwMjIiCtXrtC0fnkc7E0JeHiUfavaoUlLwrFcSx5e34SiaDFSJ/D43mmePn3KwoULSUxMJCgoiBYtWnD48GECAwMBWL58OZMnT9bnrQohhBBCvJG0NC0zvtxNgH80laoUZfKX7aTgRD4hI1Mi24SGhvL48WOsra0BCAwMpFKlSgBMnjyZunXr4uHhQXhEFGnY0qrvSoyMLXBp8hkXD3zBvpUtKFemGHXq1KFGjRqMGjWKxYsXc+LECUqUKMFHH31E27ZtMTAwwNHRkVWrVnH//n193rIQQgghxGv99stJLp7zxcbWjNnzu2NiaqTvkEQ2USmKoug7CJE3aTQafH19uXfvHg8ePECj0VCpUiUqV65MmTJlMDRMn6v7+fmxadMmOnToQPmK1Th+IZ4/9/tgbWNHrWoWdGpihW0hgwzXURSFwMBArl+/zs2bN7GxscHFxYXq1atLM18hBAnxyWzyvKjXGPoPqoO5hYleYxBC5E6H9t/hu6/3YGCgZvEvfahRq6S+QxLZSEamRJYkJCTw4MED7t+/z6NHj7C3t6dSpUr069ePIkWKvHTI+tGjR/z555/06NGDihUrAtC+kQUXj23niwlfZEi8XqRSqXBycsLJyYl27drx6NEjrl+/zrFjxyhVqhSurq5UrlwZIyP5lEcIIYQQuce9u8HMnXUAgHGftZREKh+SZEq8kqIohIWFce/ePe7fv09ISAhly5alUqVKdOzYEUtLy9ee486dO+zevZu+ffvqGvrCs6a+ZmZmr0yk/k2tVlOhQgUqVKhASkoKd+/e5erVq+zZs4fKlSvj6upKmTJlUKtlOaAQQggh9CcqMoGvPt9OSnIanbu78EGfGvoOSeQASaZEBs+n792/f5/79+/rpu81a9Ys0+l7r3L16lWOHDnC4MGDcXR0TPdaTEwMhQoVeus4jY2NcXV1xdXVldjYWG7evMnhw4eJi4ujevXquLq6UqxYsbc+vxBCCCHE20hL0zB96k6Cg2JxdnHkP5NbS8GJfEqSKQG8fPpe3759KVq06Fv9ADh37hynT59m6NChFC5cOMPr0dHRumIV78rKyoqGDRvSsGFDQkNDuX79Ops2bcLExARXV1dcXFzeKXETQgghhHhT//3xOFcv+2Ff2ILv5nbH2FgeufMr+ZMtoF6cvvfgwQOCg4OzPH3vVec+ceIE169f56OPPsLGxibT/WJiYrCysnrr67yMg4MDrVu3plWrVjx58oTr16/z66+/UqxYMVxdXalatSqmpqbZfl0hhBBCiL07b/Cn1xWMjAyYNa87hR3e/plK5H6STBUgL5u+16RJE8qWLZul6XsvoygKBw4cwMfHh48++uiVSVlMTEy2jUxlRqVSUbp0aUqXLk3Hjh25f/8+N27c4MCBA1SoUAEXFxcqVKiAgUHGCoJCCJHXJCWlotVo9XZ9tYEaUyn3LAq42zcDWTjnMAD/mdwaZxcnPUckcpokU/lcTkzfexmtVsuuXbsICwtj6NChmJmZvXL/mJiYDOuocoqhoSHVqlWjWrVqJCYmcuvWLU6dOsXOnTtxdnbG1dWV4sWLZ+v74ePjQ/Xq1YmLi8u2cz6nUqkIDQ3NdPrkm7pw4QIrV65k2bJl2RgZzJgxg7CwMJYuXZrhtU6dOrFgwQKqVauWrdcUQoBWo9Vrifj+g+ro7dpC5AZhYXF8NXkHqakaevSuQZcervoOSbwHkkzlM8+n7z0ffcrO6XuvkpaWxrZt20hOTmbIkCEYGxu/9ph3LUDxtszMzKhTpw516tQhMjKSGzdusH37drRara6ghZ2d3XuP6327desWfn5+7/Wae/fufa/XE0IIId6HlJQ0vp68k7DQONxqlmD8xJb6Dkm8J5JM5QPvY/req6SkpODl5YWJiQkDBgx44+tFR0frvSiEra0tzZo1o2nTpgQEBHD9+nVWrVqFra2trjGwubl5tl7z/v37jB07ltjYWAIDA6lRowZeXl6YmppiamrKZ599pqtKOGPGDLZs2cKNGzdwcnJi165dukbFX375JRcuXECr1TJr1iy6dOkCwMqVK/nll1/QarXY29uzdOlSqlSpgru7OxERETx8+JAGDRpw6NAhoqOj+eijj1i9ejW7du1i1qxZpKSkYG5uzoIFC2jYsCF3795l+PDhJCUloSgKI0aM4OOPPyYtLY3Jkyeze/duDA0NadSoEb/88gsAd+/epWXLlgQGBlK0aFE2bdqEo6MjZcqUYevWrdSpI59gCyGEyB8UReGn+Ue5dSOAIkWtmDmnK4aGsoSgoJBkKo9KSEjA29ub+/fv8/DhwxydvvcqiYmJbNiwgcKFC9O1a9c37u+k1WqJi4vTezL1nEqlonjx4hQvXjxdY+CjR49SunRpXF1dqVSpUrY0Bv7tt98YOnQogwcPJjU1ldq1a7Nnzx569epFcnIyxYoV4/z588ydO5cRI0Zw584dHB0dqVu3Ljt27GDgwIEAlCtXjuXLl3Pz5k2aN2/O3bt3uX37Nn/88QcnT57E3NycgwcP8sEHH3Dnzh3g2d+bW7duAbBmzRq2bt3K6tWrefDgAdOmTeP48ePY29tz69Yt2rRpg7e3N/Pnz6dr165MnTqVoKAgJkyYgIeHB7/88guXLl3i2rVrukTay8sLeNak+dy5czg4ONCjRw9+//13vv7663d+74QQQojcZue2a+zafh1jE0Nmz++OrZ2FvkMS75EkU3nEy6bvVaxYkQ4dOuTY9L1XiYuLY/369ZQpU4b27dtnKYGLi4vDzMwsVxZ/MDAwoGLFilSsWJHk5GTu3r3L5cuX2b17N1WqVNE1Bn7bhHXu3LkcOnSIefPmcf/+fQICAtKtq+rVqxcA5cuXx8XFheLFiwNQtmxZIiIidPt5eHgAUL16dapVq8aZM2f4559/8Pb2plGjRrr9wsPD2b9/PwBNmjTJNKZDhw4RGBhI69atddvUajXe3t588MEHfPjhh5w/f542bdqwZMkS1Go1hw8fZsiQIbq1cc8TqRkzZtC2bVscHBwAcHNzIyQk5K3eKyGEECI3u3bFjx/nHwVg8rR2VK4q/S0LGkmmcjF9T997laioKNatW4erqyvNmjXLcmKR05X8souJiQlubm64ubkRGxvLjRs3OHjwIAkJCbrGwEWLFs3SOQcMGEBaWhp9+/alc+fOPHnyBEVR0l3zuVeNhL2YiGq1WoyMjNBoNAwZMoS5c+cC8ODBA9asWaNLyF6WdGs0Glq3bq1LiACePn2Kk5MTbm5uPHjwgEOHDnHkyBG+/fZbLl26hKGhYbo/9+DgYLRabYa4VSpVuvsTQggh8oPgoBimT92JRqOl78DatOskxZUKIkmmcpncMn3vVcLCwli3bh2NGjWifv36WTpWURS0Gk2eSaZeZGVlRaNGjWjUqBEhISFcv36dDRs2YGZmhqurK9WrV3+jaYsHDhzg77//xs3NjVu3bnHu3Dn69euX5XjWrFnDJ598wuXLl/H29qZ+/foYGBgwYsQIJkyYQFBQEN999x3Xrl1j1qxZGY43NDQkNTUVgNatWzN9+nTu3r1LlSpV2Lt3L4MGDeLp06eMGjWKJk2a8PHHH9OrVy+OHz/Ow4cPadOmDRs2bGDw4MEYGRkxZsyYl458CSGEEPlJclIqX03eQWREAnXqlcZjXHN9hyT0RJIpPcts+l6ZMmWoVKmS3qbvvUpgYCAbNmygTZs2uLm5vdExiqKQEB9PZFQUaampoFJhZGhIDTc3nj55go2NDZZWVrkiUXxTRYoUoU2bNrRu3RpfX19dY2BHR0ddY2CA+Pj4DH+Gs2fP5oMPPsDCwgJra2uaN2+Ot7d3lmN49OgRNWvWRKVSsWnTJuzs7GjXrh2TJ0+mUaNGJCcnU7JkSXbu3Jnpe9ugQQO+/fZbevbsybZt21ixYgX9+/dHURQMDQ3ZuXMnlpaWfP3114wYMYLly5djYGDABx98QLNmzWjSpAk+Pj7Url0bRVFo0aIF48ePzzRxE0IIIfILRVFY8MMh7t0JxtHJmm9md8HQ8M3WjIv8R6XI/Jv3TqPR8OTJE+7du5du+l6lSpX0Pn3vVXx9fdm8eTNdunTRJQuvExsTQ0REBFqt9qVTvVQqFSq1GutChbCxtc1TSdWLUlNTdY2BfXx8qFixIi4uLpQvX/69rQ3TaDTs3LmT8PBwBgwYoKv8J0R+lhCfrNf+SvCsx5K5hcnrd8xB+n4fcsN7IMT7sHnDJZYuPoapqSG/rhpE+YoO+g5J6FHufGrPh/49fc/Ozi7XTd97lQcPHrB9+3Z69epFuXLl3uiYiIgIYqKjdetoXkZRFBSNhqioKFJSUiiSB96PzBgZGeHs7Iyzs7Ouat7JkyfTNQZ2cnLKsXtLTExk8+bNmJqaMnTo0GypPCiEEEKI/3fpvC+/LjkOwLQZHSWREpJM5ZS8Nn3vVW7evMn+/fsZMGAAJUqUeKNjoqOiiI6KylLhAUVRSEhIICwsTFcJLq8yNzenbt261K1bl4iICG7cuMG2bdsAdI2BbW1ts+16UVFReHp6Ur58edq1a/fGJeqFEEII8WYC/KP4ZtouNBqFIR/Vp0XryvoOSeQCkkxlo8ym71WsWJEmTZpQpkyZPDlScOnSJf7++2+GDBnyxlXr0tLSiIyMfKsKboqiEB8Xh5WVFaamplk+Pjeys7OjefPmNGvWDH9/f65fv87vv/+Ovb09Li4uODs7v1Nj4ICAADZt2kSjRo1o0KBBNkYuhBBCCIDExBS+/HwHMdFJNGhclmGjG+s7JJFLSDL1jvL69D2A8ePHc+LECQBu375N2bJlMTMzIz4+nlGjRjF8+HDs7Oze+HzRUVGvndr3008/ERkZyYwZMzK8ptVqiYyIwNHJKUv38TKdOnViwYIFVKum35KlKpWKEiVKUKJECdq3b8/Dhw+5fv06R44coUyZMrrGwFlZM3f//n127NhB165dqVKlSg5GL4QQQhRMiqIwZ+YBHj4IpWQpW77+rjMGBjIDRDyTp5IpHx8fXSNTeDYSZG5uzqJFi2jc+M0/IXB3d6d69epMmjQpyzE8n743Y8YMrl27RpcuXXTT99q3b4+VldVLjw0ICKB3796cPn06y9fNSUuWLNF9XaZMGdavX090dDT37t1jyJAhb1Tu+zlFUdI1oH1bycnJaNLSMMiGYhx79+5953NkNwMDA13RkeTkZO7cucPFixfZtWsXVatWxdXVldKlS78yGb9w4QInTpxg4MCBuj5SQgghhMhenn+c59jhe5hbGDN7QQ+srPLHzBmRPfJUMgVgZmbG1atXdd9v3rwZd3d3Hjx4kGPXzGz6XmJiIkWKFGHixIlvPH3Pyckp1yVSmfnnn3+wsLAgODiYBg0aYGhoSKVKlVi6dCnFihWjRYsW2NnZcffuXcaMGcOff/5Jw4YNOXXqFL6+vjRo0IDZs2ahVqv55ZdfOHzkCElJSSQmJDD1iy9o364dAN4PH9J/wACioqJwrlaNb7/9FktLS5o1b87SpUuxsbHBxtaWMmXKsHXrVurUqcP27dv59ttv0Wq1WFlZsWjRIurVq8eMGTPw8fEhMDAQX19fihcvzvr163F0dEx3fG5kYmJCjRo1qFGjBjExMdy4cYP9+/eTmJiIi4sLbm5u6daQKYrCoUOHuH//PsOGDcvWtVdCCCHEy3z11VfcuXOHzZs3v7cqtfp29tQjfvvlJABfz+xMmbL2eo5I5DZ5Lpn6t/DwcBwdHdFqtfznP//h7NmzxMbGoigKv//+O40bN8bd3Z2IiAgePnxIly5dgGcJw9atW4mJiaFdu3YsWLAAQ0NDVq1axfLly0lKSiI0NJTOnTtToUIFChUqxP79+7l+/TqOjo4ULVoUa2trjIyM8PPzY8yYMfj4+KAoCkOHDuXzzz/Hx8eHpk2bUrVqVXx8fPjjjz9o27Zttozc5ASNRkNCQgJRUVFYWFhw+PBhLly4gIWFBTNmzMDd3Z39+/cDYGtry+3btwH4888/efjwIcePH8ff35+6dety7tw5SpUqxanTp9ng6YmpqSm7du/mxx9/1CVTvr6+bP/rL+zs7Jg4cSL//eUXpkyerIvneUPZ5+7evYuHhwenT5+mXLlyHD16lO7du3Pv3j0ATp48yZUrVyhUqBDdunVj2bJlfPvtt+/jrcs2hQoVonHjxjRu3Jjg4GCuX7/OunXrsLCwwNXVlcqVK3PkyBHi4+MZPnw4ZmZm+g5ZCCFEATFr1iwmv/B7Or976hvBzK/2oCgwfHRjGjcrr++QRC6U55KpxMREatSoAUBkZCSBgYHs2LGDc+fOERAQwJkzZ1Cr1cyZM4c5c+awa9cuAF2pang2zc/Pz4+///4bIyMj2rdvz2+//Ubfvn1ZtGgRo0ePJi4ujrS0NObMmUNQUBCrVq0iLi6Oe/fukZqaSrNmzXTTDQcNGkT37t357LPPiI6OplmzZpQsWZIGDRrg5+fHhg0baNq0KT4+Pvp4y95IamoqW7duRVEUOnbsyKJFi/joo490fYo+/fRTZs+eTUpKCgBNmzZNd3zXrl1Rq9VYWlpSulQpoqOjKV68OAvmz2fHjh34+vpy9epVEhISdMe0b9cOe/tnn/D06t2buXPmwAs/pP+97uro0aO0bt1aV5q9VatWFClShEuXLgHQokUL3ZTEmjVrEhERkZ1v0XtXtGhR2rZtq2sMfPnyZQ4dOoS5uTmtWrUqMJ8KCiFEfhYcHMywYcMybG/VqhUTJ058p3NHREQwc+ZMevXqle73dnBwMAsWLODevXsULVqU8ePH655pxDPxcclM+3w7cXHJNG1RkSHDpMCTyFyeS6b+Pc3v8OHD9OjRgxs3bjBr1iyWL1+uGyV5cf1SkyZN0p1nyJAhukRh8ODB7N69G3NzcyZNmkRISAixsbHcuHGDhIQErKysOHz4MAMHDsTY2BhjY2MGDRrE9evXiY+P59SpUxw8eBAAa2tr3N3d2bdvn26KXMOGDXP+jXkHycnJbNy4ESsrKywsLDA0NESj0aRbr6PVaklLS9NV6Pt3affnIyQGBgaoVCoUReHmzZuM9vBg2Ecf0aRpU+rVr8/06dN1x6hfSAYUrRbD/02XVKlUoCi6158ncP+O6Xlcz0ewXhyleR5DfqBWqylUqBABAQE0bNiQYsWKcfPmTQ4ePEilSpV0jYGlHLoQQuQ9RYsWZc+ePem2/fTTTxQuXDjDvlFRUdjY2Oi+fz6jJLP12l5eXqxduzbTglCLFy/G2dmZGTNmcP78eebMmcPq1auJj49n3rx56fatUqUKQ4cOfcu7y5u0WoXZM/bh+ziCsuXs+XJGR9Tq3F9QTOhHnn/6atOmDRUqVODEiRN07twZgO7du+Ph4ZHuYfrfD/8vfqqv1WqJjY0lPDycr7/+muTkZJo3b86sWbPSHfPi+Z5XXNNqtRke2l98wDcxMclSdbb3LSEhgbVr11K4cGE++OAD3fYOHTqwatUq4uPjgWdFKpo1a4aJyau72794rxcuXMDFxYXhw4dTv149Dh06hEaj0b1+5MgRoqOj0Wg0eHl50bxZM+BZKfEbN29iYmzM8ePHCQwMBKB169YcOHCAR48eAc9Gqp4+fUr9+vWz583IpZ4+fcrq1atp1KgRbdu2xcXFhQEDBuDh4cGoUaPo2bMnixYtYv/+/WzdupXq1asDz0ZgFyxYkOk5a9SoQVRUVJZj2blzJ+PHj3+X2xFCCPEKQUFB/PPPP3Tt2jXddj8/PyZNmkRYWJhu208//cTu3bszPU+/fv3Ys2dPhhGn2NhY7ty5w8CBA7GwsKBly5YUKlSI27dvY2tryw8//JDuv4KWSAGs+f00//ztjaWVCbMX9MDcwljfIYlcLM8nU/fv38fHxwcvLy+6du3KmDFjdIUKXnxw/7dNmzaRnJxMUlISq1atwt7ensKFC+Pg4MBXX31Fu3btdD+gNBoNHTt2ZO3atSQlJZGUlISXlxcAVlZWNGjQgP/+978AREdHs3btWtq2bZvzN/+OYmJiWL16NeXKlaNz587pRjaGDx9OmzZtqFevHlWrVuXy5ct4enq+9FzBwcHs3r2bX375Bc3/PgXr2rUrkZGRtGvfnvYdOmBhbk50dLRuzViFChUYMXIknTp1wqpQITw8PACY/PnnrFmzhmbNm7Nu3Tpq164NQLVq1fjll1/o2bMn1atXZ+rUqezatQtra+uceov07tatW2zatInu3bvr3ofnDhw4QN26dQkKCqJx48aYmpry999/ExERwYkTJ3Qjepm5evVquk8331S3bt3SVX8UQgiRvTZu3EjHjh0zVNItUaIEQ4cO5ZtvviEuLo41a9aQmJhIv379snT+oKAgbGxsMDb+/wShePHiBAQEvPbYhQsX8uTJE+bNm6f7oDO/OXn8AWt+O4NarWLG7C6UKClFnsSr5d4hk5d4cc0UPBsFWrFiBa6urgwYMAAXFxfS0tJo164df/7550v7HZUtW5amTZsSGxtL5cqVGTNmDPXq1WPr1q1UrlwZtVpN8+bNcXBwwNvbm9GjR+Pt7U316tWxt7enYsWKunN5enoyduxYVq9eTUpKCgMHDsTd3R1fX9+cfjt0tFotcbGxJCUlodFqUatUGBoZUcjKCiPjjJ+oRERE6BKVF6dAvriua+bMmcycOTPDscePH0er1fL48WNu3bpFly5dMDIywsbGhmHDhjFixIhn65UUBa9Nm9IdO23aNODZGqyXadCgAdv+/JPKVapkaNzbp08f+vTpk+GYf/erevH73LxW7WUUReHMmTOcPXuWIUOGUKxYsQz7/Prrr/Tv35/y5cvzxx9/sGzZMhRF4eDBg8TGxnL//n3u3r3LH3/8QVpaGu3bt9cVWlGpVISGhrJ48WLd9BJFUXQNhR89epTpdgMDA7Zu3frST0KFeBMhISH85z//4YMPPqB37976DkeIXCMgIIBTp07x+++/Z/r68+eWcePG4ejoyLfffpvlKd7JyckZZpmYmJiQnJz82mPfdQ1XbufzKIxZ3zxrpzL6k6bUa1hWzxGJvCBPJVNlypR55WjTlStX0n3/008/AbBmzZp021/8/s6dOxw9epQmTZpgaGjIzp070+27fPly3deLFi1i0aJFmcb17/nOz7e/WLnv399nh5SUFKKiokiIj0dRlAxTDmNjYjA0NMTG1hYLCwtUKhXBwcF4enrSrFmzLJUL12q1+Pr6cuvWLe7evUuhQoWoVq0aw4YNS9fUV6vREBUZifYt1yyp1WoCAwM5dPgwTZs2pU6dOgWq2IJWq2Xfvn08efKE4cOHZzrydvv2bc6cOcOff/5J7dq1ad68ObNnz0alUmFkZETnzp3ZvHkzly5dYsqUKfj6+rJx40a+++47vv76a915Zs+ezezZswGYMmUKJUuWxN3dHQMDg0y3r1u37v28CSLfio+PZ9asWVnqXydEQbFx40bat2//ypkDRkZGpKamYmRk9FZrZU1MTDI8S2WWYBU0sTFJfDFpO4kJqbRuV4X+g+vqOySRR+SpZCq7JSUlsW/fPnr37p2r1zW9TGxsLOFhYS8dfYNnD+YpKSmEhoQQa2pK2v/WJ3Xo0EG3tuZVnidQt2/f5s6dOy9NoF6kNjCgSNGihAQHvzK2zKjUauzs7OjQsSM1a9Xi8OHDnD9/ntatW1O1atVXNrHND1JSUvjzzz9JS0vjo48+yjAy99yvv/5Kly5dsLe3x97enrJly7JixYp0xU5UKhUjR45kyJAhJCUlER0dzbZt2yhSpAgA27Zto3Tp0tjY2LBr1y4OHDjA8ePH0yWuS5Ys4ciRI/z9998FKqEVOSM1NZVZs2bRs2dPXRVOIcQzz0elVq5c+dJ9zp49y5YtW1i6dCmbNm1i8eLFTJw4MUu/G4sVK0ZoaChJSUm63zH+/v66decFkUajZeZXu/F/GkXFSkWY8nX7fP+8IbJP3ssgstGRI0eoWLEipUqV0ncoWRYTE0NEePgbJyuKopCYmEh4eDjdu3dPN03x3/6dQFlZWeHs7PzKBOrfzM3NKezgQFho6BvHqFarsbGx0Y3EFC1alEGDBvHo0SMOHTrEmTNnaNu2bZ7883oTcXFxbNiwgaJFi9KlS5eXJi/x8fGsW7cOExMTypQpAzz7+7B06dIMI41qtZp79+5x9uxZfH19cXBwYMCAAXzyySe6ZHr79u2sXLmSCRMmsHTpUszMzLC1teXOnTt4enqydu1awsLC0Gg0+aZCotCPH3/8kVq1atGiRQtJpoT4lw0bNtCuXbuXNmL39/dn+fLlzJkzBxsbG0aPHs2cOXPYsmULffv2fePrWFlZUbVqVby8vOjbty8XLlwgOjoaZ2fn7LqVPOf3X//h3BkfrG3MmL2gO6amRvoOSeQhBTaZevr0KXfv3uXjjz/WdyhZlpSUlKVE6kX29vYZKhvCswTqyZMn3Lp1S5dAvW4E6nUsLS0xMjIiLDSU1NTUl8arVqsxMDDAzt5eV67+ReXKlWPUqFFcv36dbdu24ejoSJs2bXQ9qvKD0NBQNmzYQM2aNWnatOkrPxHz9PTE3t6e+/fv6xKuqKgoSpcuTWhoKPBsysbzNVEGBgbUq1ePFStWMHLkSN2fZ6VKlbh16xZ//PEHx48fp1q1arrKlvv27WPNmjXMmzePmJgYDh8+TGRkJGfOnMHHxwdPT09sbW2xtbXFxsZG93VBnyYiXm7r1q2YmppmuuZRiILOz8+Pf/7555WjUk5OTsybNw8HBwfg2eyDSZMmvXT5wLZt2/Dy8iI+Ph5vb2+WLl3KunXrMDY25tNPP2XhwoVs3bqVYsWKMXXq1HQFKQqSIwfv4vnHeQwMVHz7Q1eKOebfolYiZ6iUAvhRs0ajYcWKFTRr1ixPfhLj7+9PclLSWx+vVqspUbIkarU60wTK2dn5rROol0lNTSU6KkpXav05U1NTbLLwEJ6amsr58+c5ffo0zs7ONG/ePNMELC95/Pgxf/75J+3atcPV1fW1+9esWZMRI0YwduzYdNu//vprdu/eTWRkJGPGjGHfvn3Y2dnh5+dHbGwsH3zwgW5d1fMCFI0bNyYuLo5ixYrp5tB369YNLy+vTLeXKlUKLy8vli5dSmRkJFFRUURGRuq+fl6I5Hly9WKyZW1tLb2wCrDFixdz7Ngx3ffP+8Y1atRIV5jmbSXEJ7PJ8+K7hvhO+g+qg7mFfj9M0Pf7kBveAyGywvt+CGOGbSA5OY3xE1vRu38tfYck8qACmUydPHmSp0+fMmDAgFw7J1alUlG9enVdE9yEhAQKFSrEzz//TLGiRVm/fj0xMTG6cuIvcnF1Zd/evZQoUeKl5x8/fjwqtZouXbrg6+vL2rVrcXZ2pn79+lSoUIEPP/wwJ2/vnSUkJHDixAmuX79OgwYNaNiwIUZGeW9Y/tq1axw6dIhevXpRtuzbVQ1SFAUfHx/OnTvHkydPqFmzJvXq1XvvJeMVRSE+Pl6XXP072YqPj6dQoUIZkq3nCZeZmVmu/fcost/ChQspXbp0tlTz03cSAbkjkdD3+5Ab3gMh3lRUVAKjhq4nKCCGjl2cmTq9g/wOEm+lwE3zCw8P58yZM4waNSrX/6M5duxYug7oCxYsYNy4cXht2sTAgQPf6dzGJia4ubkxevRoWrVqxZw5cxg8ePC7hvzemJub06FDB+rVq8eRI0dYunQpLVq0wM3NLU+MfiiKwokTJ7h69SpDhw7VTdvIirS0NG7cuMG5c+fQaDTUr1+fnj176m2qhkqlwtLSEktLS0qWLJnh9bS0NKKjo9MlWwEBAbqvgUynDj4f1cqLRWKEEELkPmlpWmZ8sZuggBiqOhfjs6ltc/0zoci9CtTTiaIo7Nmzh6ZNm75Vw1J9SktL48mTJxSysgKelX2PjIxkxowZXLhwgW9nzkTFs1GpF9cmbdy0iT/++AMDAwMK29szY8YMypYti1qtxtTUlP/85z+cP3+ex48fExoayrVr16hevTqTJk3S051mjZ2dHX369MHPz49Dhw5x9uxZ2rZtS/ny5XPtD0aNRsPu3bsJDg5m+PDhma5he5XY2FguXrzIpUuXdOvHcvP9PmdoaKirPvhviqKQlJSULtEKCgri7t27REZGEhMTg4WFxUuTredl/4UQQojX+XXJ31y++AQ7O3NmzeuOiUmBehwW2axA/e25fv06SUlJ1K9fX9+hvJGWLVuiUqkICwvD1NSULl26MG/evHT7pKSk8Mm4cSxatIjGjRqxc9cuvLy8ADh95gwrVqxg65Yt2Nvbs/XPP/Hw8GD//v3AswfYxYsXc+XKFT755BN69+6Nu7v7+77NbFGiRAnc3d25d+8e+/fvx9ramrZt22ba7FafkpKS2LJlC4aGhri7u2dpFCkgIIBz585x//59qlevjru7e7qRy7xMpVJhZmaGmZkZTk5OGV7XarXExMSkS7YePHig+zolJeWliZaNjc0bv8+rVq1i+fLlxMbGkpycTLly5Zg1axb169enU6dOLFiwgGrVqmXLPdeoUYPjx4/nuQ92skt+b/4phMid9u+5xZaNlzA0VPPdvO44FLHSd0gijyswyVRCQgKHDh1i0KBBeWIaGPz/NL/Lly/TqVMnWrZsiYODA2lpabp97t2/j6GhIY0bNQKgW9eufP3VVwCcOHGCzp0760YCevfqxXfffYefn9/7v5n3QKVSUaVKFSpWrMjly5fx9PSkfPnytGzZ8r2vH8pMdHQ0GzZsoFSpUnTs2PGN/h5qtVru3r3L2bNniY6Opl69enTo0AEzM7P3EHHu8bxsvo2NTaZry5KTk9Otz4qIiODRo0e6dVsmJiYvTbasrKxQq9VMmzaNEydOsHnzZkqXLg3A0aNH6dKlC5cuXWLv3r3Zek9Xr17N1vMJIYR4tTu3Alnw/UEAJnzeGhe34nqOSOQHBSaZOnjwIC4uLjg6Ouo7lCyrVasWixcvxt3dnf379lG0aNH0O/yrhojB/9aWaDUaVP8uyqAoumQsrySVWWVgYEDdunVxdXXl1KlTLF++nFq1atGkSZOXNsHNaUFBQWzcuJH69evTsGHD105JS0xM5PLly1y4cIFChQpRv359qlatmm//zN6ViYkJRYsWzfhvg2cjsHFxcelGtXx9fbl69SqRkZEkJCSgUqlYuHAhv/32G35+fsTHx2Nra0ujRo1YtGgR8fHxlClThq1btxIXF8eXX35JuXLluHnzJqmpqSxfvpzGjRsTHR3N2LFjuXr1KiqVio4dO/L9999jaGiIiYkJ3bt359q1a3h6elK3bl1CQ0PzzeiiEELkZhHh8Xw1eQcpKRq693KjW083fYck8okCkUw9evQIHx+fPNlT6rkBAwawatUqZn//PT8vWaLbXqVyZRTg2PHjtGzRgsOHDxMdHQ1As2bN+Hr6dNyHDn02zW/rVmxsbSldujQqyPdrTExMTGjVqhV16tTh+PHjLF26lCZNmlC3bt2XNsTNCd7e3vz111906tTptaX4w8LCOHfuHDdv3qRixYr06dOH4sXlk7N3oVKpsLKywsrKKtOGz2lpaWzYsIGKFStSpUoVIiMj8fPz0yVearWakydPkpCQwLlz5zA0NOTcuXN8//33NGnShB9//JFp06bx999/M378eOzt7blx4wYpKSl069aNBQsWMHXqVFJSUujatSubN2/Ww7sghBAFV2qqhq+n7CQ0JA4Xt+KMn9hK3yGJfCTfJ1Opqans3r2bzp075/mGdEuXLsXV1ZUTJ0/qthkZGbHs11/56uuvWbhwIVWrVtVN62vSpAnDPvqIwUOGoGi12NnZ8duKFRgYGGBsbJzvk6nnChUqRLdu3QgODubw4cOcP3+e1q1bU61atRx/Dy5dusTx48fp379/phXu4NnIyaNHjzh79iwBAQHUrl2bjz/+GCsrmcf9PhgaGmJlZYWpqSn16tUDnhX5aNq0qe7rTp06YWRkhLGxMSEhIdjZ2XH16lVOnz5NvXr1WLNmDQD79u3j1KlTqFQqTExM8PDw4Mcff2Tq1KkAunMKIYR4f5YsPMqNa/44FLFk5pxuGBm9vw9URf6X75OpEydO4OTkRMWKFfUdSpZk1v6rcuXKJCcnExwURNMmTXTbXV1d2bljR6bnGTJkCEOGDEm3TaVSsW79et2UsePHj+tee/5QmB8VLVqUQYMG8ejRo3SV/zIbrXhXiqJw9OhRbt++jbu7e6YV7FJTU7l27Rrnzp1DrVbToEED+vbtmyf7ZeV19evX5+7du4SHh2Nvb4+VlZVuTdOMGTMICwvDyMiImjVrEhcXx8aNG/n000/RarWcOHFC9+9Vq9WmS9C1Wi2pqam677NauVEIIcS72bntGjv+vIaxsQGz5nXHvrCFvkMS+Uy+XoARHBzM5cuX6dChg75DyVb29vao33Kamup/C/kL8tqbcuXKMWrUKOrWrcu2bdvw8vIiLCws286flpbGtm3b8PHxYfjw4RkSqejoaA4fPszixYvx9vamU6dOeHh4ULNmTUmk9MTJyYlPP/2UPn368OTJE912X19fTp069dJpof/+d9S+fXuWLl2KoigkJyezYsUK2rZtm6OxCyGEyNyNa/78OP8IAJOmtaOqc95bNy9yv3w7MqXVatm1axetWrXKd58GGxoZ4VisGIGBgel6Sr2OSqXCytISG1vbHIwub1CpVLi6ulKtWjXOnTvH6tWrqVatGi1atMDC4u0/tUpMTGTTpk1YWlry4Ycf6pIjRVHw8/Pj3LlzPHz4EDc3N0aMGIGdnV123ZJ4R7Nnz8bT05OBAwcSHx9PdHQ0tra29O/fn7Fjx7LjJaO/L1qyZAnjxo3DxcWFlJQUOnTowJdffvkeohdCCPGi0JBYvp68g7Q0Lb3716JD51evWRbibamUzOaT5QPnz5/n1q1buLu759u1QYGBgYSHhWFubv7afdVqNdbW1tjKw3umEhISOHHiBNevX6dBgwY0bNgwy6NEkZGReHp6UqlSJdq2fdZNXaPRcPv2bc6dO0dCQgL16tWjZs2amJiY5NCdCFHwJMQns8nzol5j6D+oDuYW+v13re/3ITe8B0IAJCenMX70Ju7cCqJWnVIs+Lk3hoYFd0aOyFn5cmQqJiaGv//+O18nUhqNhl27dlG7dm1KlylDVGQkGo0GRVF06zfUajUqlQoLS0tsbGwwNMyXf9zZwtzcnA4dOlCvXj2OHj3Kzz//TMuWLXFzc3ujKZH+/v5s2rSJZs2aUbduXRISErh48SIXL17E3t6eJk2aUKlSpQI9vVIIIYTIaYqisGjOIe7cCqKYUyFm/NBFEimRo/Ll0/W+ffuoU6cODg4O+g4lx5w4cQILCwtq1aqlK/2ckpJCSkoKGo0GtVqNgYEBZmZm+TahfJ1Vq1axfPlyYmNjSU5Oply5csyaNYv69eu/9Bg7Ozt69+6Nn5+frkhFmzZtqFChQob38ZNPPqFw4cL079+fXbt20a1bN2xtbdm5cyd37tyhSpUqDBw4kGLFimU59ho1anD8+HFsbGyyfKwQQghRUG3bfIV9u29hYmLI9/N7YGPz+tk7QryLfJdM3b17l9DQUHr16qXvUHKMv78/ly5dYvTo0eke8I2NjfN8+ffsMm3aNE6cOMHmzZspXbo0AEePHqVLly5cunTptRX8SpQogbu7O/fu3ePAgQOcOXOGtm3bZmj67Ofnx969e2nSpAnnzp0jNDSUOnXq8Mknn7zT2qvnleSEEEII8WauXHrC0sXHAJg6vQMVKhXRc0SiIMhX457Jycns27ePLl265Nspbampqfz111906NBB+hC9RHBwMD/++CNbtmzRJVIArVq1YtGiRcTHx1OmTBkuXvz/tQUvfv/9999Tv3593Nzc6Ny5M46OjlStWpVVq1bRuHFjKlasSIsWLfjnn3948uQJarUaT09PFi1axMaNGxkyZAhz5szRnXvOnDlUrFiRWrVqMWHCBMqUKQOAu7s748ePp2XLllSoUIGePXsSFxcHPCuQkZ0VBoUQQoj8LCgwmulTd6HRKAz8sB6t21XRd0iigMhXydTRo0cpV66c7mE1Pzpy5AiOjo5Ur15d36HkWmfOnKFq1aoZRpHgWd+tqlWrvvRYX19fDh8+zPHjx7l+/TqzZ89mxowZ1K1bl+DgYCwtLRk+fDht27bl8ePHFCpUiA8++IBbt26xZcsWLl68yNmzZ/nhhx8ICwvjwIEDrFmzhgsXLnDp0iViY2PTXe/SpUvs37+fO3fu4OPjw5YtW7L9/RBCCCHys6SkVL6ctIPoqETqNyzDyI+bvP4gIbJJvhm+8fPz4/bt23z88cf6DiXHPH78mNu3bzNmzBh9h5KrKYqSbvpjbGwsTZs2BSAuLo6+ffu+9NjSpUuzdu1aPD098fb25uzZs7rRomPHjjFx4kTCw8MpX748/fr1w8nJidKlS7Nr1y52797Nhg0buHPnDoqiEB8fz969e+nTp49u7dPYsWM5cuSI7nodOnTQVfZzcXEhIiIiu98OIYQQIt9SFIW53x3gwf0Qipe0YfqsLhgY5KuxApHL5Yu/bRqNht27d9OuXTvMzMz0HU6OSEpKYseOHXTt2jXf3mN2qV+/Pnfv3iU8PBwAKysrrl69ytWrVxk8eDAxMTGoVCpe7AqQkpICwOXLl2nYsCExMTG0a9eOKVOmoCgKCQkJxMTEcOHCBXr16kWfPn10/cvi4+OpWbMmly9fplatWsyfPx8jIyMURcHQ0DDddf7d/PXFP8t/xySEEEKIV9u0/gJHDt7FzNyI7+f3wKqQqb5DEgVMvkimzpw5g6WlZb6e+nbgwAHKly9PxYoV9R1Krufk5MSnn35Knz59ePLkiW67r68vp06dwsDAAAcHB90aqePHjxMYGAg8q5JYp04dPvvsM5o3b85ff/1FUlISv/76K/Xq1SMsLIxSpUoRGRmpa+L64MEDYmJimDVrFl27duX48eMkJyej0Wjo3Lkzf/75J9HR0QCsXLmywFZXFEIIIbLT+TOPWb70JABffduJsuUL6zkiURDl+Wl+ERERnD59mpEjR+bbh9S7d+/i6+uLh4eHvkPJM2bPno2npycDBw4kPj6e6OhobG1t6d+/P2PHjuXcuXOMGTOG5cuXU7t2bWrXrg3AgAED+PPPP6latSppaWlUrlyZyMhIOnXqxJgxY/Dw8KBKlSoUKVIEFxcXAFxdXenSpQtVqlTBxMQEFxcXqlWrhre3N+3bt2fkyJE0bNgQc3NznJ2d36jJshBCiLzD19eX0NBQ4uLisLCwoEiRIukKIIns5/c0khlf7karVXAf2ZCmLeTDZqEfKiUPzytSFIX169dTrlw5GjdurO9wckR8fDzLli2jd+/e8oP5PVEUhevXr3Po0CFq1qxJ8+bN37o65MWLFzl9+jTjx48HYNGiRZw7dw4vL6/sDFmIAi0hPplNnhdfv2MO6j+oDuYWJnqNQd/vQ254D96nyMhI/vzzT44ePUp8fDyFCxfG2tqa6OhowsPDMTc3p2XLlvTq1Qs7Ozt9h5uvJMSnMGaYJ48fhdOkeQVmzeuOWp0/P1AXuV+eHpm6ceMG8fHxNGjQQN+h5AhFUdi9ezeurq6SSL0n0dHR7N69m9jYWAYNGpRpRcCsqFSpEnPnzmXFihWoVCpKlSrFihUrsilaIYQQ+nDgwAFWrFhB/fr1mThxIjVq1Ei3Jlaj0XDx4kUOHjzIiBEjGD16NO3bt9djxPmHVqswe8Y+Hj8Kp3RZO76c0VESKaFXeTaZSkhI4ODBgwwYMCDDov784vr164SHh+frBsS5haIoXL58maNHj1KvXj2aNGmSLX+vChUqJOXOhRAin9myZYuuh2BmDAwMqF+/PvXr1+fmzZvMnz9fkqlssm7VWU4ef4ClpQnfz++BhWXBGQ0VuVOeTaYOHTqEs7MzxYsX13coOSI6OpqDBw8yePDgfNuAOLeIjIxk165dJCcnM3ToUIoUkY7pQgghXm7x4sVYWVm90b7Vq1fnp59+yuGICoZ//vZm5fJTqFQwfVZnSpaW6ZNC//LkU/rjx4959OhRvu0ppSgKO3fupH79+u88zUy8nKIonD9/nr///pvGjRvTsGFD1Op8UeBSCCFEDnoxkXr8+DFRUVHUrFlTt+369etYWVlRtmxZAF2vQfH2fH3CmfXNXgBGftyUBo3L6TkiIZ7Jc0+OaWlp7N69m06dOumaneY3Fy5cIDk5mSZNpIN3TgkLC2P16tXcunWLYcOG0bhxY0mkhBBCZNmyZcuIjIxMty0hIYFly5bpKaL8JzY2iWkTt5MQn0LLNpUZNLSevkMSQifPPT2eOHGCokWLUrlyZX2HkiPCw8M5fvw4PXr0kIf7HKDVajl16hSrVq2ievXqfPTRRxQuLH0phBBCvJ2HDx9mKIRVq1YtvL299RRR/qLRaPnu6z08fRJJ+YoOTJ3ePt+2whF5U66a5qdJSyMmJoaUlBS0Wi0qtRpjIyMKWVtjaGhISEgIly5dyrf9lrRaLdu3b6d58+bygJ8DgoOD2blzJyYmJowcORJbW1t9hySEECKPs7S0JC4uLl0PwcjISCwsLPQYVf6xasVpzp56TCFrU2bP746ZmbG+QxIinVyRTCUlJREZEUFycjJarTbdawlATEwMxsbGnD13jhYtWrzxos+85tSpUxgZGVGvngxfZyeNRsM///zD+fPnadWqFbVq1ZJPtYQQQmSL5s2bM2/ePEaOHEnRokUJCgpi5cqVNG3aVN+h5XnHj9xj3aqzGBio+Pb7rjgVt9F3SEJkoNdkSlEUIiIiiI2JyZBEvUir1ZKUlIRztWrY2dmhKEq+exgOCgri7NmzjBo1Kt/dmz4FBASwc+dOChUqxOjRoylUqJC+QxJCCJGPDB48mJUrVzJlyhRSU1MxMjKidevWfPjhh/oOLU97+CCU72fsA2DM+BbUrif9NkXupNdkKjwsjNjYWBRFeaP9jYyMiIuLQ6soFClSJN8kHWlpafz111+0bdsWa2trfYeTL6SlpfH3339z5coV2rVrh4uLS775+yKEECL3MDIywsPDAw8PD6KiorC2tpbfN+8oOiqRaZO2k5SURvtO1egzoJa+QxLipfSWTMXExBAXF/fGidRziqKQkJBAVFRUvlnzcvz4cezs7HBzc9N3KPnC06dP2blzJw4ODnh4eGBpaanvkIQQQhQAUgL93aWlafn2y90EBkRTpWpRJn3RVpJTkavpJZlSFIWoyMhXTu175fFaLTHR0djY2OT5f2BPnjzh2rVreHh45Pl70beUlBSOHj3KrVu36NixI9WqVdN3SEIIIYTIguVLT3DxvC+2duZ8N687JqZG+g5JiFd669rbGo2GRYsWUadOHWrUqEG1atWYMmUKycnJrz02KSkpQyL1888/c+jQodce26x5c67fuMHp06dxdnZ+2/DZuXMn48ePf+vjs0NKSgrbt2+nU6dOUvXnHT1+/Jhly5aRkJDAmDFjJJESQggh8piD+27j5XkRAwM1M+d0o2gxWecscr+3HpkaM2YMkZGRHDlyBGtra+Lj4xk0aBAjRoxg3bp1rzw2MiIiQzJ15swZKlSo8MbXVxQFjUbzVrEDdOvWjW7dur318dnh4MGDlCpViqpVq+o1jrwsOTmZQ4cOcf/+fTp37pxv+48JIYQQ+dm9O0HMm30QgE8ntcKtZgk9RyTEm3mrkSkfHx88PT1ZuXKlrmCChYUFy5Yto0ePHty/f5+2bdvSoEEDSpcuTffu3UlKSgLgm2++oXXr1nTv0QN3d3dCQkJYt24dN27eZM7cuRw4eJCUlBRmzZpFt27d6NylC59PnkxsbGymsSiK8srrmZqaMmPGDBo1akTZsmX59ddfAVizZg1dunR5m9t/I4qikJaaSkpyMqmpqRmSR29vb7y9venQoUOOxZDfeXt78+uvv6LVavn4448lkRJCCCHyoMiIeL78fAcpyWl07eFK916yhlzkHW+VTF26dAlnZ+cMZaaLFStGr169+O233xg6dChnz57F29ubx48fs2fPHp4+fcqPP/7I9u3b2bF9O02aNOHqtWsMGTIEl+rVmTplCu3btWP58uUYGBqyY8cO9uzeTdEiRZg/f36msSiK8tLrwbORi8KFC3P69Gm2bt3Kf/7zH12ilRNSUlIICQ7G18cHP39/AgIC8Pfz44mvL4EBASQlJZGQkMDOnTvp1q0bpqamORZLfpWYmMiOHTvYvXs3Xbt2lfdRCCGE3j19+pTHjx/rO4w8Jy1Nw/SpuwgJjsXZxYlPP28la8hFnvJW0/zUavUri0fMnTuXQ4cOMW/ePO7fv09AQABxcXEUL14cNzc3unbrRrNmzWjevDmNGzXKcPzRY8eIiYnh1KlTAKSmpGBvb5/xQv+rBPiy6z3XvXt3AGrVqkVycjLx8fFvc9uvlJaWRnBQUKajUM8lJiaSHBhIQmIibm5ulCtXLtvjyO/u3r3L3r17qVKlCmPGjMHExETfIQkhhBD897//JSkpiR9//FHfoeSYr776ijt37rB582YMDAyy5Zw/LzrGtSt+FHaw5Lt53TA21mvXHiGy7K3+xtavX587d+4QGxuLlZWVbru/vz+jRo3C0tKStLQ0+vbtS+fOnXny5AmKoqBWq/n777/ZtXMnJ0+eZPbs2TRr1oypU6akO79Go+Hrr7+mRfPmAMTHx2da2EKrKMydO5dt27ZhaGhIp06d6NWrF48ePUqX0JiZmQHoPunIajn210lNTSXA3/+N1nBptVpMTUwoX64cCQkJmJubZ2ss+VV8fDz79+8nICCAXr16Ubq0NO8TQgiRO3h7exMREYGJiQk3b96kevXq+g4pR8yaNYvJkydn2/l277jBX1uuYmRkwKx53SlcWFqZiLznrab5OTk5MWjQIIYNG0ZMTAzwrG/Uxx9/jL29PQcOHGD69On069cPgHPnzqHRaLh27RrVq1fHxcWFMWPGMOyjj7h+/ToABoaGpKalAdCsaVPWrVtHSkoKWq2WaV9+yfwFCzLEYWBgwIQJE7h37x7jxo2jdu3aXLlyhTNnzrBnzx5WrVoFPJuW+Pjx43SjVdlFo9G8cSL1Iq1WS0hwMCkpKdkeU36iKAo3b97k119/xcrKCg8PD0mkhBBC5Crbt2+ne/fudO/enW3btr3VOc6fP8+ECRPo0aMHY8eOzZa4IiIimDBhAidPnky3PTg4mM8//5xu3boxcuRIbty4kS3Xe1M3rvnz+7J/WPjDsyrOE6e2oVp1x/cagxDZ5a3HUn/55Re+++47GjVqhKGhIcnJyfTo0YNvv/2W33//nQ8++AALCwusra1p3rw53t7eDB8+nL59+9KhY0dMjI0xMTVl+tdfA9C6dWsWLFhAamoqn3zyCT/88APdunVDo9VStWpVpn3xRbrrq9VqDAwMMDMzY86cOXz11Ve667Vt25YyZcrQsmVLAMLCwggICCAkJASAjRs38ujRI6KiovD19cXBweGtR4jCQkPfuqqgVqslOCiIkqVKvdXx+V1sbCx79+4lPDyc/v37U6KEVPYRIi/75ZdfOH/+PFFRUZQuXZoxY8ZQpUoVfYclxDsJDw/n8uXLjB8/HrVazZo1awgICMDJyemNz3H+/Hl+++03xo0bR5UqVV66HCEqKipdY2CNRkNCQkK6WULPeXl5sXbt2kyXHixevBhnZ2dmzJjB+fPnmTNnDqtXryY+Pp558+al27dKlSoMHTr0je/ldX6cf4Q9O26QnPzsA/TyFQrTqZtLtp1fiPdNpWT3nLc35Pf06TuNyhgaGlKyVKksLVJUFIW4uDhCQkIIDQ1N939jY2McHBxwcHCgSJEiFClSBAcHB65evcoXX3xBeHg4Wq2WkiVLsmDBApydnWnbti1z58x5p47narUaRyenl679uXjxInPmzGHr1q1vfY28RlEUrl27xqFDh6hduzbNmjXD0FDmUAuR161Zs4aWLVvi5OTE0aNHWbt2LevXr3/nxeYJ8cls8ryYTVG+nf6D6mBuod81nPp+H3LDe6APa9asQaPRMHz4cAA2bNhAVFQUH3/88Rufw8PDg4kTJ1KxYsWX7uPn58eMGTOYM2cOhQsXBmDRokU4OjoyYMCAlx43efJkunbtStOmTYFnH1QOHjyYLVu2YGxsDDxrdzN69Ghq1Kjx2lgnT57MDz/88No1U2NHbMywLT4+mccPw9MttzA1NWTh0j64uBV/7bWFyI309oRa2MGBoMDAVxayeN3xWf0FrFKpsLKywsrKivLly+u2K4pCTEyMLrny8/Pj8uXLBAYGMm/ePKZOnUrdunUpUqQIJ0+epGPHjjx+/JjDhw+jfcdcVKvVEhUZSdFixTJ9vU6dOgUqkYqOjmbXrl3Ex8czePBgHB1l2F+I/MLd3V33dbt27ViyZAnR0dHv9IGUEPqUlJTE/v37Wbp0qW5bp06dGD16NB9++CGWlq9fAxQaGkpgYCCbNm3ixo0bGBkZ0aNHD/r06ZNuvxIlSjB06FC++eYb5s6dy9atW0lMTNQtqXhTQUFB2NjY6BIpgOLFixMQEPDaZGrhwoU8efKEefPm4e7u/srf0Teu+b9RPCqVCr+nkZJMiTxLb8mUqakphR0cCAsNzXJCdenyZWrWrJmlJr+volKpsLa2xtraOt2nQhEREcycOZMyZcpgYWGBj48PxsbGNGvWjEb/q0I4aNAgVv7+O/0HDMDNzY179+4xceJEypYpw4xvvyUqKgqVSsXw4cPp+cEHrFu3Dq/Nm3XX8Pb2ZvTo0VSuXJnff/9dt/327dtMmTKF1q1b88knn3Dz5s1sudfcSlEULl26xLFjx6hfvz6NGzfOtkpBQojcx9vbG0tLywwtNoTIS3x9fenVq5dupAjAxsaGgQMH4uPj80aFKMLCwrCwsKBv37588cUXBAQE8OWXX1KyZEkaNGiQbt+mTZsSGxvLuHHjcHR05Ntvv0Wtztry9+Tk5AyzYUxMTDIt9PVvEydOfOPrLP2tf4ZtD71D+e/i46Sk/P/yCAUoUdL2jc8rRG6j17lTlpaWqNVqQkNC0Gq1r6yyp1KpUKlUFHZwoEGDBmzatInOnTtTrVq1HIvPzs6OefPmMWrUKIoVK0bjxo1p2bIly5Yt0/Wv8ly/Hjs7OwAqVarEz0uWkJaWRtu2bZk6dSrt27cnODiYnj17UqZ0aYYMGcKQIUMA8PT0ZPOWLc/WDVSuzCeffALAr7/+ysqVK5k6dSoXLlzIsfvLLSIiIti1axepqakMHTqUIkWK6DskIUQOSklJ4eeff6Zfv35ZfhAUIjepXLlypg3jn7dkeVPm5ua685QqVYrWrVtz48aNDMkUgJGREampqRgZGb3Vvx8TE5MMa70zS7DelWuNjOucXWuUwPdxBHt33UTFs0Sqc9fqMiol8jS9/xYzNzenZKlS2NnbY2hoiFqt1k3fU6lUqNVqDA0NsbWzo1Tp0lhaWlKyZEkGDx7Mvn37uHbtWo7G99lnnxEcHMySJUtwdHRk7ty51K5dO9M1PHXr1AHg8ePHJKek0L59ewCKFi1K+w4dOHHihG7fAwcP8vvvv/P7b79hbmammy74119/sWDBAnbv3o2FhUWO3pu+abVazp49y++//07FihUZNmyYJFJC5HMajYY5c+ZQunRpPvjgA32HI4TeFS1alNDQUBITE3XbNBpNuml4z509e5YtW7awdOlSHB0dWbx4cZbbvRQrVozQ0FCSkpJ02/z9/d/btPoJn7dm4c+9mTD52f8//bz1e7muEDlF78kUPCvCYG1tTclSpXB0csKhSBEKOzjgUKQIxRwdKVmqFDY2Nuk+gXF0dOTDDz/k6NGjOTZ6c+rUKebPn4+VlRVdunRh3rx53Lp1C5VKxaFDhzLsb/6/5Eer1fLv1VxarZa0/5V+v3jpEjNmzGDFihU4ODig0WiIjY3ln3/+YezYsezatYtiL1lDlV+EhYWxevVq7ty5w/Dhw2nUqJF8Qi1EPpeSksLs2bMxMTFhwoQJ71x4Qoj8wM7ODmdnZ5YtW0ZiYiIPHz7k2LFjNGnSJN1+/v7+LF++nO+++w4bGxtGjx5NamoqW7ZsydL1rKysqFq1Kl5eXiQmJnLixAmio6NxdnbOztt6JRe34nTsIiNSIn/IVSXSVCoVJiYmbzzU7ODggLu7O2vXriUlJYXGjRtnazwODg7MmjWLhg0b6n6oBQYGEh0djYuLCwYGBroE6UXlypXD0MiIAwcO6Kb5HThwgEULF+Lt7c24ceNYvGiRbn1WamoqP/zwA8uWLWPcuHEEBwdjYGBA8eK574eMoigkJycTEx1NWlras2bMBgaYmZpiVajQa9c5abVaTp8+zenTp2nRogV169aVByohCoCUlBS+/vprSpQowdixY+XDEyFeMHnyZJYsWcKgQYOws7NjzJgx6QplwbMen/PmzcPBwQF49sw0adKkl/bQ3LZtG15eXsTHx+Pt7c3SpUtZt24dxsbGfPrppyxcuJCtW7dSrFgxpk6dmulImBDi9fRWGj07xcTEsG7dOqpWrUrLli2z9eH82LFjfPPNN/j5+WFqaoq1tTXffPMNHTp0oE+fPly8eJFffvmFkSNHsnTpUlxdnvVKuHPnDjNnziQ6JgZNWhpDhw5l4MCBuLu7c/PWLYoXL66bs1y7dm1CQkK4ePEijo6OJCUlkZqaSpEiRahXrx47d+5kw4YNODk54eTkhJmZWbbd35tSFIWY6Giio6PRarWZFg1Rq9WYmZlha2uLcSYJcXBwMDt27MDMzIyuXbtKBS8hCpDg4GDc3d0zJFEDBw5k0KBB73RufZcEh9xRFlzf70NueA+EEOJ9yxfJFEB8fDzr16+ndOnStG/f/r2MdiiKwhNf37du2gvPEpCSpUplOqKjKAqRkZEEBATg7+9PQEAAQUFBWFpa6hIrJycnHB0dc/QTJY1GQ2BAwBv3BVOr1djZ2+uqdGk0Gk6ePMmFCxdo3bo1NWvWlNEoIUS20XcSAbkjkdD3+5Ab3gN9ePLkCaVKlUq3LSUlhYiIiHw/ZV8Ikcum+b0LCwsLPvzwQzZs2MCuXbvo0qVLjk8jUalUFCpUiKioqCwvAH3O1MzspVPjVCoVdnZ22NnZ6cqrarVawsLCdAnWzZs3CQkJwc7OTpdcFS9enCJFimRLo1utVkuAvz+pqalZOiYiPByAuLg4duzYoZvfLWWQhRBC5CfP1zq/KDExkU8//RQvLy89RSWEeF/yTTIFYGZmxpAhQ9i0aRN//fUXPXr0yPFeRTa2tiQlJZGYlARZTKiMjIyyXL1OrVZTpEgRihQpomuup9FoCA4O1iVYFy9eJCIigiJFiqQbwXJwcMhyghkUGJilROo5rVZLcFAQf584QZMmTahevbqMRgkhhMh3MvswNSYm5q1+dwoh8p58lUwBGBsbM3DgQDZv3szmzZvp06dPtozQvIxKpaKYoyNBgYEkJSW98QiVkZERTsWLZ8vomYGBgS5hqvO/8uwpKSkEBQUREBDA48eP+eeff4iLi8PQ0JCpU6dSsWJFjIyMgGfl6RctWoSJiQlz5sxh69atunO86dS+zydPplKlSowcMSJdXB3at6dEyZJvdI6LFy+mu74QQgiRW40dOxaVSoWiKLo+kfAsuQoMDKRZs2Z6jE4I8b7ku2QKwNDQkH79+vHXX3+xYcMG+vfvn6Nrip4nVFcuX8bM3BwzU9NMCzQ875tlaWmJrZ1djk5DNDY2plSpUunmcScmJnLhwgVMTEyYOXMm/v7+pKSk8PTpU/r168ehQ4dYuXIliqKgUqmIiorK9D6yIi0tDU1aGgZvkNDWqVNHEikhhBB5Qo8ePQD48ccf0zXpNTAwoEiRIrrp+UKI/C1fJlPw7IdZz5492bVrF+vXr2fgwIGYmprm2PXi4+M5fOQII0aMwMzMjKjISFJTU3UjVYaGhlhbW2Nhaam36W5mZmaUKlUKtVpN3759gWdrmhYsWIC9vT2enp78/vvvTJo0ifj4eP78889nPbNUKsZ4eNChQwfi4+P5duZMLl26hKGBAW3btmXixIkAXL58md59+hAeFkalSpVYvHgx5ubmnL9wgW+++Ybw8HA0Gg3jx49n2LBhHD9+nE8//RQLCwvi4uKYP38+EydO5ObNm3p5f4QQQog31bZtWwCqV6/+3hreCiFyn3ybTMGz9UXdunVj//79/PHHHwwePBiL/zXWzW7Hjx/Hzc0NOzs7AL2UL39TiYmJuvVWkZGRBAYG6kqWb9++nREjRtChQwc++ugjunfrxt27d9m4cSMdOnTgxx9/JDk5mYMHDqDRaBg6dCjnzp0DnpU+9ly/HmNjYz7o2ZMDBw7QtWtX3N3d2bhxI7Vq1SI6OpqGDRtSrVo1AG7evMmjR48oXbo0x48f19M7IoQQQrwdR0dHbt68ia+vb4beky+OWAkh8qd83zVRpVLRoUMHKlSowJo1a4iNjc32a4SFhXHnzp08Mz/azMyMq1evcvXqVXx9fdm7dy99+vTh8ePHANjY2DBo0CBmzpzJfz77jJs3bzJp0iQATp0+Td8+fTAwMMDY2JiNGzfSoEEDANq2aYPZ/6oTVqpUifDwcB4/foyvry/Dhg2jRo0aNG/enMTERK5cuQJAyZIlKV26tH7eCCFElnz22WcZtoWHhzNjxoz3H4wQucSyZcv46quvOHTokK4p/enTpzlz5oy+QxNCvAf5emTqOZVKRevWrTExMWH16tUMGTIEW1vb1x6nTUsj/u4j4h89QZucgoGpCRYVy2BRqSyqF9Y7HT58mMaNG+fq0ahXadOmDRUqVMDc3Fy3bcSIEdSrW5e/T5zgxIkT/LRkCYcPHcLQwABemKYYEBCgu2/D/xW0gGfvucKzqn5WVlZcvXpV91pwcDDW1tacPXsWS0vLHL8/IUT2ePDgQYZtpqamug9HhCiIjh49ypIlSzL0mhJCFAwFIpl6rkmTJhgbG7NmzRqGDBlC4cKFM+yjTUkhcNtBHs7/jeTAEBRFQZuYjKLVoDIwwMDs2borszIlqPCFB0nOZQkODqZ3797v+3ayzf379/Hx8SE4OJiUlBSOHTuGh4cHEz79lN69etG+XTuaNG1KaGgojRo3Ztu2bTRs0IDU1FQ+GTeO0aNGvfTcZcuWxdTUlPXr1zN48GCePn1KrVq12L59+/u7QSHEO9mxYwfwrErZ86+ff3/9+nVKvmHFTiHyI0tLyzf6gFYIkT8VqGQKoF69ehgbG/PHH38waNAgXXdyRVHw99zJnanz0MQnoIlLyPT459tTQiO49tEUklUKDb4dl6Pl17NbYmIirq6upKamkpqaSkpKCl27duX27dskJiaiKArTp09nzpw5LF26FJVKxfhx4yhRogTjx43ju+++o3OXLmg1Gjp37kz79u05fORIptcyMTFhs5cXX0ybxrx580hNTeW7776jcePGskZKiDzi9OnTwLOR5udfw//3vRs2bJi+QhNC79q1a8eBAwfy9IeqQoi3p1LetDFSPnP79m327t1L//79KWpZiEt9xxF95RZpUVlfU2VkWwi7Fg2o+cd83chVbpKQkEBAQAABAQEEBgYSEBBASkoKTk5OODo66npUWVtbp6s0GBUVRWRExBv3zsqMgYEBpUqXloa9QuQDz0eYc5uE+GQ2eV7Uawz9B9XB3MJErzHo+33IDe+BPvTs2ZOUlJRMp/pv2bJFDxEJId6nvDOcks2qVauGkZERm1euxmX9MVL9glDSNG91rtTIGEL2Hud0s/40PL4BQwvz1x+UQxITE3UJ0/P/kpKSdElT9erVadeuHTY2Nq9NcAoVKkRUZOQ7JVP6LAUvhMhezxOplJQUUlNT072WU5VShcjtpACLEAVbgU2mAMqVKo3rphMk+fqjesfxOSU5hdjb3pzrOIxGxzekK1CRU5KSkggMDEyXPMXHx1OsWDGcnJyoWrUqrVu3xs7O7q0SGrVajY2NDZFvmVAZGhrKPHIh8pErV66wZMkSQkJCdNueN/nes2ePHiMTQn9cXV11XycmJubZYlRCiLdToJOpu1/MJ9U/5J0TqeeUlFRib97n0eLVlJ84PHtO+j8pKSm6pOn5/2NiYihWrBiOjo5UrFiR5s2bY29vjzobEzkbW1vS0tKIjY3NUkJlYGCAo5MTBgYG2RaLEEK/li5dSrt27WjcuDEmJgVvOpcQmYmJieHXX3/l3LlzpKamsmvXLg4cOEBQUBBDhw7Vd3hCiBxWYJOp6Kt38PfcgTYxKVvPq4mN5+H833Ds3QHz0sXf6hypqakEBQWlS5yioqIoUqQITk5OlCtXjsaNG+Pg4JCtidPLFHZwwMDQkOioKLRa7Sv3VavVukQqLxXlEEK8XmxsLL169cLY2FjfoQiRayxduhQDAwPmzZvHxIkTAahevTpbtmyRZEqIAqDAPu3enbaA1IjoHDl3akQU3j/8iuuyWa/dNy0tjeDg4HRrnCIiInBwcMDJyYlSpUrRoEEDHBwc9DrKY2trS6FChYiOjiY2JgZFUdKNVKlUKoyNjbG1s8PU1FTWSQmRD9WoUYNbt25Rs2ZNfYciRK5x9epV1qxZg7m5ue53X7FixQgLC9NzZEKI96FAJlPJIeHEXLmVcxdQFIJ3HkGz+Kt01f00Gk26xCkwMJCwsDAKFy6Mo6MjxYsXp27duhQpUiRXjuoYGBhgZ2eHra0tycnJaDQaFEVBrVZjbGycK2MWQmSftLQ0li5dSv369TO8NuoV/eaEyM/Mzc1JTExM1/g+MDAQe3t7PUYlhHhf8vXTr4+PD+XLl8fFxUW3TVEUBtdqhHN01kugZ4UmKRnvbfuIr1palziFhISwceNGPDw8qFevHrVq1aJo0aIYGRnlaCzZTaVSYWqa+0rACyFylqWlJc7OzsTFxek7FCEylZSUilbz6uno2a1x46b88MMchn00AkVRePDgEStXrqBFixbvNQ4hhH7k6z5TPj4+VK9ePd0vfn9/f6qWLc/32mKUVeXsAuqoVrUx9+ij6+NUtGhRWWsghBDZTN/9lSB39FjS9/tQUN8DrVbDjVtHeeRzhbS0FExMTGjXrh0jRoyQ3/lCFAD5emQqM8WLF8fJwAR/TQoPlCT2aKNQACuVAR7qIpRUGbNYE0QsGoKUVOqqLIhCQ2mVMT3VdgAs1gRRWmVMU5UVMzUBunNHkoYhKuYblGSmJgCDUyFYBN8mKCgIIyMjnj59SpkyZdi6dSt16tTR0zsghBBv5/Hjxy99rWzZsu8xEiFyD7XaADeXtri5tCU5OZ4PP2qGhaXM3hCioChwydSZM2cISEnAWlWIXZoo5hqUxFSl5rI2ntmaAJYZlgEgGYVf/vf1Yk1QpudyUBnxs2FpAIKUVKZpnvKZQTHddsuy5Sn1139p2bIla9eufR+3J4QQOWbs2LEZtj1fcC99pkRBExT8kEc+V2hQ9wPU6mcFokxMnjWvXrhwIS1atKB27dr6DFEI8R7k+2QqMTGRGjVqAM8WTxcuXJgvClfhQqg/gaTwueapbt84NMQqGgCq8eafKkUrGmZo/BiqLkx11f8vQI3SpDC6Y0d++OEHmjVrlj03JIQQerJ3794M29auXYuFhYUeohFCvx49voyDQxldIvWcSqXC1dWV3bt3SzIlRAGQ75MpMzMzrl69mm7bcef2nA/1p6WqEB8ZOACgVRQiSMOSZ32bzFT/379JBby4sCzthe+SFC0zNf60UlvTXF0o3fbpflcZ+sVEBgwYkO33JYQQuUG3bt2YOHEivXr10ncoQrxXEZEB1KrRMdPX6tevz8qVK99zREIIfcj5jq+5kHWt6tRSmXNCiSVCSQNgnxLNlxq/TPcvhAHeyrPmvuFKGjeUBAA0isJcbSBlVSb0/d96qhe3u1SsxBdffJHDdyOEEPqTkpJCVFSUvsMQ4r1LTknE2Ng809fMzc1JSEh4zxEJIfQh349MZaZwm8bU2XaAXkmpfKXxQw2Yo2aagVOmzWa7qm1YoAlidNpjiqiMcPvfVL5/lFguKPFUxITxab668aqealsuKPGkxkVSs2ZNXXPbzKbICCFEXjFz5sx0PyNTU1O5d++eTGMWBZK5WSFiYkOxsS6a4bXHjx9LnykhCoh8nUyVKVMm034oRbu05M5US7qkpNJFbZPh9f8YFEv3vYPKiLmGJTO9xotT+17UvlhZWl0/joFJ+rKoPj4+bxa8EELkMuXLl0/3vaGhIZ06dcq0ia8Q+V3JElW5duMQTRr2w8Dg//tFJiYmsmLFCho3bqzH6IQQ70u+TqZextjeFruGNQnedTRnLqBW49i7Y4ZESggh8rJBgwbpOwQhco2qlZty4tQG9h38BSenyliYWZOUHM+Rv3+lcGF7Bg8erO8QhRDvQYFMpgAqz5pIxOnLpIZHZfu5je2sqTBlVLafVwgh9O3JkyccOXKE0NBQHBwcaNOmDSVLZj5yL0R+ZmBgSIumg/F9epPg4IcEx4VjbGxGv3796dixPUZGRq8/iRAizyuQBSgArKpVoPTIfhhYmGXreQ2tLak041NMnTLOoRZCiLzswoULTJgwgZCQEBwcHAgJCeHTTz/l4sWL+g5NCL1QqdSUKeVK/bof0KzxIBrU7Umb1m0lkRKiACmwI1MAFb8ZT8j+k8TevI+SlvbO51ObmmBTx5VSo/pnQ3RCCJG7/PHHH3zxxRfUrVtXt+3ChQusXr2aOnXq6DEyId6vsLAnFC5c6o33f/DgARUrVszBiIQQ+lJgR6YA1IaGNDiyDssq5VAZv9unSGozU6xrOVNnx/JMKwIKIUReFxAQoGuC/pybmxuBgYH6CUgIPTl5xou790+j1WpeuZ9Go2H79u189dVX7ykyIcT7VqBHpgCMClnS6B8vrrpPJuLvc6RGxmT9HHbWFO3eFpf/zkAtQ/tCiHyqRIkSXLx4kYYNG+q2XbhwgRIlSugxKiHev1bNh3Lh0i68H12gVInqODlWwsLCBhNjC6Kiovi/9u4/KOp63+P4C5BddGcXD4Us4uRVPMeIAMeupagnwXvnNDoxZY54KH91/JnZL3+M3hy7YzaiQc7UnawRf5ApwbU0zNLOZOSPtNCcLqWCopkIbKjJRX6De/9o4soBYXeF/XLw+ZjZP/bz/ezu6z37z76/n8/3uz9f/FXffvut9u/fL6vVquTkZKMjA+gkd3wzJUk9LL30r//9X3J8+qV+mP+farheqYZrFe2+zv8PgfLvbVPMpmQFjWKLC4DubcaMGVq5cqViYmKarpnKy8vTK6+8YnQ0wKsCbX30b3F/U3FJgS5czNPho1mqq6uW5KOPsiWr1aro6GjNmTOn2ckHAN0PzdRNQsbFqU/hwyr7+yEVJr+r6wXnJadTN+obpBs3JD9f+fboIfn6yhY9WH/8j2f0h5EPsK0PQLdWWVmpc+fOKTo6WuvXr1dOTo4uX76siIgITZw4UQMHDjQ6ImCIvqF/Ut/QP0mSGhrqVV9fo78+NUJBdwUanAyAt9BM/QMfX1/1+cuf1ecvf5bT6VTNJYeqCi/oRl29fAPMsvzxXxRgDzY6JgB4zc6dO3X27FlFRUXJbrdr8uT/v8nOG2+8oaCgIE2fPt24gEAX4Ofnp8ZGPwUEBBgdBYAX0Uy1wcfHRz372dWzn93oKABgmK+//lrPPvtsq8cSEhKUmppKM4U7VnX1/+rYiU/l+OWcnE6n/v7leo0fP15Tp07lFunAHYBmCgDQptLSUg0ePLjVYwMGDOBufrijfXs8Wz0DrPr3+Fkym3tpxMgQfZC5XRs3btTcuXONjgegk93Rt0YHALTPz89PlZWVrR6rqKiQn5+fS+/jcDi0ePFiJSQkaNasWcrLy+vImIAhrv5aoqFDxinQFqwAs0WDB9+rxYsXKycnx+hoALyAZgoA0KZ7771XBw8ebPVYTk6Oy39Gum7dOkVGRiojI0NJSUlKTk5WXV1dR0YFvC7QFqzq6uZ/q2Kz2eR0Og1KBMCbaKYAAG2aPHmyNm/erF27dqm8vFySVF1drR07dig9PV2JiYntvkdFRYVOnTqlpKQkWSwWxcXFyWaz6eTJk50dH+hUvQND9D8/fqHikgIVlxQoN/db7dq1S2FhYTp69GjTA0D35OPk1AkAoB25ublav369HA6H/P39VV9fr7vvvlszZ87U6NGj2339mTNntGrVKqWnpzeNrVq1SkOHDtW4ceM6MzrQqVy5+YqPj482b97c+WEAeB03oAAAtGvYsGEaNmyYLl26pPLyctlsNvXr18/l19fW1spsNjcbM5vNqq2t7eiogFdt2bLF6AgADEQzBQBwWVhYmMLCwtx+ndlsVmNjY7Ox1hosAAD+mXDNFACg09ntdpWVlammpqZp7NKlSwoNDTUwFQAAt4dmCgDQ6axWqyIiIpSZmanq6modOHBA5eXlioyMNDoaAAAe4wYUAACvKC4uVmpqqgoKCmS327VgwQJFR0cbHQsAAI/RTAEAAACAB9jmBwAAAAAeoJkCAAAAAA/QTAEAAACSli9frieeeKLFXzkAt8L/TAEAujSHw6GUlBTl5+crJCREzz33nKKiolrMczqdSktL0759++Tj46Px48dr+vTp3g98C67WcfToUW3fvl1FRUXq1auXEhISNGnSJAMSt+RqDTd7/fXXVVhYqHfeecdLKdvmTg2XL1/W5s2bdezYMVVVVSklJUWDBw/2cmJ406pVq7RkyRKjY+CfCCtTAIAubd26dYqMjFRGRoaSkpKUnJysurq6FvP279+v7777TuvXr9ebb76pQ4cO6ciRIwYkbp2rdVRVVempp57S9u3btWbNGu3Zs0fHjx83IHFLrtbwuy1btujixYteTNg+V2uorq7W0qVLNWjQIKWlpSkrK0v9+/c3IDHacvXqVb3wwgs6ePBgs3GHw6HFixcrISFBs2bNUl5enkEJ0d3RTAEAuqyKigqdOnVKSUlJslgsiouLk81m08mTJ1vMPXz4sCZMmKDg4GCFhoZq3LhxOnz4sAGpW3Knjvj4eD344IMKCAhQWFiYYmJidO7cOQNSN+dODZK0d+9e/fTTT5oxY4aXk96aOzXs2bNHQ4cO1eOPPy6r1aqePXsqICDAgNS4lczMTE2ZMkX5+fktjt2qaf7111+1bNmyZo/09HQD0qO7YJsfAKDLKi0tVe/evWUymZrGwsLCVFxcrCFDhjSbW1JSopCQkKbnffv21aFDh7wVtU3u1HEzp9OpM2fOKDY21gsp2+ZODceOHdO+ffu0evVqFRQUeDnprblTw/Hjx9WjRw9Nnz5dFRUVuv/++/XSSy8pMDDQy6lxK4mJiUpMTGyxLe/3pnnlypUymUyKi4tTVlaWTp48qSFDhmj16tUGJUZ3xMoUAKDLqq2tldlsbjZmNptVW1vbYm5NTU2zuWazWTU1NZ2e0RXu1HGzDz/8UH5+fho2bFhnxnOJqzWUlpZq48aNWrFiRZdbyXHneygrK1NMTIzefvttbd26VYGBgXrrrbe8FRW3oa2muT2pqan6+eeftXbtWpWUlHRmTHQTrEwBALoss9nc4q5arf0glqSAgAA1NDQ0m9dVfsy7U8fvvvrqK+3evVspKSny8/Pr7IjtcrWGX375RUVFRZo2bZqk31bXGhsblZCQoIyMDFksFq9l/kfufA8+Pj6677771KtXL0m/rYK8+OKLXsmJ2+PpyQtJWrhwYWfFQjfFyhQAoMuy2+0qKytrtsJ06dIlhYaGtpgbGhqqoqKipufFxcWtzjOCO3VI0pdffqlNmzZp9erVCg4O9lbMNrlaQ3R0tHbv3q3s7GxlZ2frtdde0z333KPs7GxDGynJve/BbrfrwoULTc8bGhqarXSg6/Lk5AXgKZopAECXZbVaFRERoczMTFVXV+vAgQMqLy9XZGSkDh8+rFmzZjXNHTFihD7++GOVlZXJ4XDo008/7RLXGknu1fHJJ59o27ZtWrt2rfr27Wtg6ubcqaGrcqeG+Ph4ffDBB7p48aIqKyu1bds2jRkzxrjwcJm7Jy+A28E2PwBAl/b8888rNTVVO3bskN1u19KlS2UymVRVVdVsJWrs2LEqLCzU3Llz5evrq/Hjx2vkyJEGJm/O1ToOHDigkpISPf30001jISEh2rRpkxGxm3G1hq7M1Rri4uJ05coVLVu2TPX19Xr44Yc1depUA5PDVTc3zZMmTVJubm5T0wx0NB+n0+k0OgQAAADgjo8++kiZmZmqrKyUyWSSv7+/tm7dKpPJpOLiYqWmpqqgoEB2u10LFixQdHS00ZHRDdFMAQAAAIAHuGYKAAAAADxAMwUAAAAAHqCZAgAAAAAP0EwBAAAAgAdopgAAAADAAzRTAAAAAOABmikAAAAA8ADNFAAAAAB4oIfRAQAAANA9/fjjj8rIyNDp06fV2Ngou92u2NhYPfbYY7Jarbf13tOmTdOcOXMUGxvbQWkB97EyBQAAgA6Xm5urFStW6KGHHlJaWpqysrI0f/58nT17VufPnzc6HtAhfJxOp9PoEAAAAOheZsyYoUcffVQTJkxocay+vl7+/v7Kz89XWlqaCgsLFRQUpCeffFJxcXGSpCVLlshut+vq1as6deqU+vTpo4ULF2rQoEFKSUnRF198IV/f39YFRo0apWXLlrX4nLq6Om3btk05OTmqqKhQeHi45s6dq/Dw8M4tHncMtvkBAACgQxUVFam0tFTx8fGtHvf399eVK1e0fPlyzZs3T6NGjVJ+fr5WrFihgQMHqn///pKk8+fP65lnntHAgQP17rvvasOGDVqzZo0WLVqkvLy8drf5bdq0SWfOnNGaNWtktVp19OhRXbt2rTNKxh2KbX4AAADoUOXl5TKZTOrdu/ct5+zfv19RUVGKj4+XyWRSVFSUYmJilJub2zQnPj5eERERMpvNGj58uC5cuOByBqfTqb1792rmzJmy2+2yWCwaO3asHnjggdspDWiGlSkAAAB0KJvNpvr6elVWVspisbQ6x+Fw6JtvvlFCQkLTmNPpVFhYWKvzAwIC1NDQ4HKG8vJy1dbWKiQkxL3wgBtopgAAANCh+vXrp7vuukufffaZJk6c2OL4jRs3FBwcrNjYWL388ssefYavr6/auvTfZrPJZDLJ4XAoKCjIo88A2sM2PwAAAHQoHx8fzZ49W++//7527typa9euqbGxUWfPnlVqaqp++OEHjRkzRidOnNDnn3+u6upqXb9+XSdOnNDp06dd+oyQkBCdOHFCVVVVunLlSovjvr6+Gjt2rDZu3CiHw6G6ujodOXJE33//fUeXizsYK1MAAADocKNHj5bFYlFWVpa2bt2qhoYGhYaGavjw4RowYICsVqteffVVpaena8OGDZKk8PBwzZw506X3nzJlitatW6fExEQ98sgjmj9/fos5s2fP1nvvvadFixapsrJS4eHhmjdvXofWiTsbt0YHAAAAAA+wzQ8AAAAAPEAzBQAAAAAeoJkCAAAAAA/QTAEAAACAB2imAAAAAMADNFMAAAAA4AGaKQAAAADwAM0UAAAAAHiAZgoAAAAAPPB/jwak+pBcVgkAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "..." ] }, { "cell_type": "markdown", "id": "a3a41d71", "metadata": {}, "source": [ "### 3.4 Distribution of shortest paths" ] }, { "cell_type": "code", "execution_count": 47, "id": "c47c87af", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "..." ] }, { "cell_type": "markdown", "id": "5d69dcf0", "metadata": {}, "source": [ "## 3.5 Distribution of local assortativity\n", "Based on: L. Peel, J-C. Delvenne, R. Lambiotte, Multiscale mixing patterns in networks PNAS 2018" ] }, { "cell_type": "code", "execution_count": 48, "id": "2c1f70d5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Acciaiuoli', -0.6808969026392604),\n", " ('Medici', -0.021174869563784306),\n", " ('Castellani', 0.007141719383490342),\n", " ('Peruzzi', 0.012639185707593273),\n", " ('Strozzi', 0.017994443222937598),\n", " ('Barbadori', -0.08452005352503844),\n", " ('Ridolfi', 0.03000675226701813),\n", " ('Tornabuoni', 0.030636247828207466),\n", " ('Albizzi', 0.020951434083395542),\n", " ('Salviati', -0.05381721467845225),\n", " ('Pazzi', 0.13130884983721394),\n", " ('Bischeri', 0.016882042111539906),\n", " ('Guadagni', -0.004185357392913659),\n", " ('Ginori', -0.0636397008162419),\n", " ('Lamberteschi', -0.26094765764931316)]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "attribute = [k for v,k in G.degree()]\n", "# Defined in common_functions (based on Peel et al 2018)\n", "local_assort = calculate_local_assort(G, attribute)\n", "display(list(zip(G.nodes(), local_assort)))\n", "\n", "plot_network_distribution(G, local_assort, mult = 1000)" ] }, { "cell_type": "markdown", "id": "8e863fc5", "metadata": {}, "source": [ "## 3.6 Degree distribution if ~ normal distribution (used in the lectures)\n", "- Try changing the scale" ] }, { "cell_type": "code", "execution_count": 49, "id": "9d68e564", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.0, 1.0, 'CCDF')" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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MiBUYGbX0gQVV4YiTTO7yyBGnwlEtFlJE5Ei2bzmHt99YB40mD63b1sTsRVEIDPYROiwim1S3ngJzF0ehRk0/3Lh+F1Pf2wKDwSh0WEQWVimmdDodZDJZkWMymQw6na5YW61WW6StTCaDVqst1m7Tpk1o2rQpatSoUf4B02PjiBMR0aOtW3UCX322GwaDCQOjWmL6t/1QqZLs0S8kcmIBSm/M/HEgKlfxwJlTKsyK2Sd0SEQWVimmZDIZjMaivQglFVgAIJfLYTAYirSTy4vOj71//z42bdqEl19+uWICpsfGESciooc7sO8qfphZcBH4TvTzGD+pEzfgJSqlKv6V8MU3feHqKsGm9aexZcMZoUMiAmClYiogIADp6elFRpiSk5NLvNdJqVRCpVJZHqekpBRrt3HjRjRp0gQ1a3J+ua3giBMR0YPFn0/FZ1O3w2wGRo9rjz4vNhM6JCK707CREu9+0BUA8N03v+HsadUjXkFU8axSTHl6eqJBgwZYs2YN8vLycODAAWg0GoSGhiIuLg6jR4+2tA0LC8PmzZuRnp4OtVqNHTt2oG3btpbns7OzsXnzZo5K2SCOOBERFVewat8G6HQGRPRpjCHDWwsdEpHd6tGzEfq/1AIGgwlT39sCdVqW0CGRk7Pa/IKJEyfi7NmzGDhwIJYtW4bo6GhIpVLk5uYWGYnq0qULmjRpgrFjx2L8+PFo37492rVrZ3l+48aNaNSoEUJCQqwVOhERUZlkafIw5a0NyMzIw9Ota+Cd6OchEnHzUaInMW5iR7R4ujoy7uXiw8mbodM9eBVhoopmtU17iYiInIleb8A749fjzCkVaoVUwY/zX4YHF5sgKheazDy8Nmw5UlM0GD2uPV4Z0UbokMhJ8c5XIiKiCjDvh4M4c0qFKv6V8NXMSBZSROXI28cNUz7sBgBYvvgo7qTfFzgiclYspsiulGZjYCIioR394wbWrToBiUSMz7/pA0WAl9AhETmclq1qoEPHEOTl5WPejweEDoecFIspshul3RiYiEhImRm5+O+nOwEAo8a0Q8PQ4ivXElH5GDexI1xdJdi9PR7xF1KFDoecEIspshul3RiYiEgoZrMZ06ftwr17uWjWIhgvD31G6JCIHFpQsA8GvNwSAPB9TCy4FABZG4spshuPszEwEZEQNv9yBn8cuo5KnjJ8+Gk4N+UlsoKhI9vAr7IHLpxLxZ5dF4UOh5wMV/Mju6LXG6BKzEBwdV/uZ0VENuXm9Tt4dehy6HUGfPJlT3TuWl/okIicxo4t5zD9s93wr1oJy9ePhJubVOiQyEmwy4zsCjcGJiJbpNcbMO0/26HXGdCjZygLKSIre6FnI9RroED67ftY+fMxocMhJ8JiioiI6AktX3wUCVfTERTsg4nvdhE6HCKnIxaLMOGdzgCAVcv/hDotS+CIyFmwmCIiInoCN2/cxfIlRwEA0R+9AHcPTi8iEkLjpkHo3LUe9DoDFv/0h9DhkJNgMUVlwv2eiIgAk8mMGf/dA4PBhJ59GqNp82ChQyJyaqPHdYBEIsau7RdwPSFd6HDICbCYosfG/Z6IiArs3HYeZ0+p4OvnjrFvPit0OEROLyjYB70jm8BkMuOn2YeEDoecAIspemzc74mICMi4l4PZ/9sPABg/qRO8vN0EjoiIAGDYqDC4ubnij4PXcPa0SuhwyMGxmKLHxv2eiIiAH7/bj+wsLZ5p8xSe787V+4hshV9lDwwa8jQAYO73B7iRL1Uo7jNFZcL9nsieqNVqzJgxA5cvX4ZCocCECRPQuHHjYu20Wi3mzp2Lw4cPAwBat26NcePGQS6XWztksnHHj97EO+PXQypzwc+rhyMo2EfokEhAzDG2JzdHj5f6zUdmRh6+mNEXHZ4LETokclAcmaIy4X5PZE9mzpyJ0NBQrFq1ClFRUZg+fTr0en2xdsuXL0deXh4WLVqEefPm4e7du1izZo0AEZMt02nz8e30vQCA4aPCWEgRc4wNcveQYtioMADA/B8PwmAwCRwROSqrFVNqtRqTJ09G7969MXr0aJw7d67EdmazGfPnz0f//v0xYMAALFmypMjzer0eP//8M4YNG4ZevXphw4YNVoieiOxVdnY2Ll68iKioKHh4eKBTp07w8vJCfHx8sbZJSUmoX78+PDw84OPjg5YtWyItLU2AqMmWbdl4FsmqTNSsVRkvvfK00OGQwJhjbFfvyKZQBnrj5o272L3jgtDhkIOyWjFV2l6b2NhYnDx5EnPmzMGsWbNw6NAhy3A4AMTExODOnTv45ptvsGHDBnTt2tVap0BEdigtLQ0+Pj6QSv/e+ycoKAgpKSnF2kZERGDFihVYvXo1VCoVDh48iIiICGuGSzZOrzdg9fLjAAqWYHZxkQgcEQmNOcZ2ubpK8Orr7QEAi+bFQafj6sNU/qxSTD1Or01cXBwiIyPh7+8PpVKJ8PBwxMXFAQCuXLmCpKQkTJo0CVWrVoWrqys8PT2tcQpEZKd0Oh1kMlmRYzKZDDqdrljbp556CjVq1EBKSgrefvttuLm5oVatWtYKlezArzvikX77PmqFVEHbDrWFDodsAHOMbevSrT5q1/FH+u37iN1zSehwyAFZpZh6nF6b1NRUKBQKy+PAwEBLuxMnTsDV1RVvvvkmIiMjMWHCBFy+fLniT4BsGjcQpoeRyWQwGo1FjpV08QMAX331FQYNGoS3334by5Ytg4+PD3788UdrhUo2zmAwYcXPxwAAQ4a3hlgsEjgisgXMMbZNLBah/0stAAAb150WNhhySFYpph6n10ar1RZpK5PJoNVqAQDp6ekICAjAtGnTsG7dOnTr1g2ffvopDAZeRDsrbiBMjxIQEID09HRLHgGA5ORkKJXKYm2vX7+O6tWrAyjIPV27dsX169etFivZtn17LyNZlYmgaj7o9Hw9ocMhG8EcY/u6dKsPTy85LsWn4eKFVKHDIQdjlWLqcXpt5HJ5keJIp9NZlgwViUSoWbMmKleuDIlEgp49e0IsFiMpKaliT4BsFjcQpkfx9PREgwYNsGbNGuTl5eHAgQPQaDQIDQ1FXFwcRo8ebWnbqFEjLF26FNnZ2cjOzsauXbvQrFkz4YInm2EymbF8yVEAwOChrSCRcDFcKsAcY/vkcleE92oEgKNTVP6s8tvgcXptlEolVKq/d6tOSUmxtFMoFLh161aR9gaDocSijJwDNxCm0pg4cSLOnj2LgQMHYtmyZYiOjoZUKkVubm6RfDNp0iTo9XqMHDkSr732Gry9vTFixAgBIydbEXfwGm5cuwP/qp7oHhEqdDhkY5hjbF/f/s0gEgGxey4hMzNX6HDIgVht09733nsPDRs2xMCBA3H8+HHMnTsXS5YswfHjx7FkyRLMnz8fALBnzx5s3LgRn376KUwmEz788EOMGDEC7dq1Q2pqKsaNG4f3338fzZo1w7Zt27B//3589913EIk4d91ZcQNhIqpIZrMZY4avwKX4NEx4p7Pl/gsisi+TJ/6Co3/cwNg3n0XU0FZCh0MOwmpXnhMnTkRMTAzWr1+PgICAB/badOnSBdeuXcPYsWMhFosRERGBdu3aASgYtfrPf/6Dn376Cenp6QgNDcV//vMfFlJOrnADYSKiinDiWCIuxafBx9cNPfs2FjocIiqjyAHNcPSPG9j0y2kMGvw0p+tSubDayBQREZE9mjh2DU6dSMJr4zpgyIjWQodDRGVkNJoQFbkQqSkaTP+2H7c3oHLBkpyIiOgBLpxLwakTSahUSYa+A5oJHQ4RPQGJRIy+/ZsCADauOyVwNOQoWEwRERE9wNqVfwIA+rzYFJUqcbEjInsX3qsxpDIXHD18E6okrgBMT47FFBERUQlSUzTYH3sVEokYkQObCx0OEZUDbx83dOlasE/cpvWnhQ2GHAKLKSIiohL8suYkTCYzunSrD/+qnkKHQ0TlpLBzZMfW89Bq8wWOhuwdiylySHq9AdcT0qHXGx7dmIjoX3Lu67B98zkAwIColgJHQ0TlqV6DANRvGID72Toc2HdV6HDIzrGYIoej1xswMmopxoxYgZFRS1lQEdFj277lPHJy9GjWIhj16iuEDoeIyllE70YAgJ1bzwscCdk7FlPkcFSJGVCrs6DTGqBWZ0GVyBtMiaj0jEYT1q85AQAYEPW0wNEQUUXo3K0+pFIJTv6ZiLRUjdDhkB1jMUUOJ7i6LxQKL8jkLlAovBBc3VfokIjIjhzcn4C0lCwEVfNB2/a1hA6HiCqAp6ccHTrWgdkM7Np2QehwyI6xmCKHI5W6YNHKoZi3eDAWrRwKqdRF6JCIyI6sW1kwKtX/pRaQSPhrkshR9ej111S/bRdgMpkFjobsFX9LkEOSSl1QK8SfhRQRPZb4C6k4dyYZlTxl6NGzkdDhEFEFavlMdfhX9URqigZnT6mEDofsFIspIiKivxSOSvXq1wTu7lKBoyGiiiSRiPFCz1AABcukE5UFiykiIiIA6rQs/P7bZUgkYrw4sIXQ4RCRFfT4q5j6/bfLyM3RCxwN2SMWU0RERAC2bzkHo9GMZzvVQVUFN+klcgbB1XzRpFkQtFoD9v12WehwyA6xmCIiIqdnMJiwfXPBNJ8+LzYVOBoisqZ/LkRB9LhYTBERkdM7dvgG0m9nI6iaD5q3rCZ0OERkRZ261INc7oKzp1RQJXFvSno8VlvqTK1WY8aMGbh8+TIUCgUmTJiAxo0bF2tnNpuxYMEC7N69GyKRCBERERg+fLjl+R49ekAs/rsGdHNzw/r1661xCkRE5KC2bjoLAOjVtwlEIpHA0RCRNbl7SNGxSz3s2n4BO7ddwOjX2wsdEtkRq41MzZw5E6GhoVi1ahWioqIwffp06PXFb/SLjY3FyZMnMWfOHMyaNQuHDh3C4cOHi7RZuXIltm/fju3bt7OQIiKiJ5J+OxuHD12Hi4vYcjM6ETmX8L+m+u3adgFGo0ngaMieWKWYys7OxsWLFxEVFQUPDw906tQJXl5eiI+PL9Y2Li4OkZGR8Pf3h1KpRHh4OOLi4qwRJhEROaEdW87DZDKjQ8cQ+Pp5CB0OEQmgSfNgKAO9kX47G6dPJAkdDtkRqxRTaWlp8PHxgVT6954dQUFBSElJKdY2NTUVCoXC8jgwMLBYuyFDhmDAgAH4/PPPkZHBua1ERFQ2RqMJ2zYXTvHjwhNEzkosFqF7eEMAwK4dXIiCSs8qxZROp4NMJityTCaTQafTFWur1WqLtJXJZNBqtZbHS5YswaZNmzB37ly4uLjgu+++q7C4qYBeb8D1hHTo9QahQyEiKlfHj9yEOi0bgUHeaPFMdaHDISIBdfurmDoQexV5edxzikrHKsWUTCaD0WgscqykAgsA5HI5DAZDkXZyudzyWKFQQCKRoHLlynjllVdw+vTpCoubCgqpkVFLMWbECoyMWsqCiogcSuHCEz37NoFYzIUniJxZcDVfhDYORF5ePg7uSxA6HLITVimmAgICkJ6eXmSEKTk5GUqlslhbpVIJlUpleZySklJiOwDQ6/Xw9vYu/4DJQpWYAbU6CzqtAWp1FlSJnFZJRI7hTvp9/HHwGiQSMXr0bCR0OERkA16IKBid2r2z+H39RCWxSjHl6emJBg0aYM2aNcjLy8OBAweg0WgQGhqKuLg4jB492tI2LCwMmzdvRnp6OtRqNXbs2IG2bdsCAE6cOIE9e/YgKysLmZmZWLRoETp06GCNU3BawdV9oVB4QSZ3gULhheDqvkKHRERULnZsPQ+j0Yz2z9VG5SpceIKIgE7P14OrqwQnjt1C+u1socMhO2C1faYmTpyImJgYrF+/HgEBAYiOjoZUKkVubm6RkaguXbrg2rVrGDt2LMRiMSIiItCuXTsAQKVKlbBs2TLMmTMHcrkc7dq1wyuvvGKtU3BKUqkLFq0cClViBoKr+0IqtdpHhoiowphMZmwr3FuqHxeeIKICXt5uCGtfCwf2XcXe3Rfx8iuthA6JbJzIbDabhQ6CiIjImk4cu4VJb6xDQKAXVm8czfuliMji4O9X8eHkzahZuwqWrBrGjbzpoay2aS8REZGtKFz6+IWIUBZSRFREm3a14OUtx41rd5BwJV3ocMjGsZgiIoenVqsxefJk9O7dG6NHj8a5c+ce2PbOnTv45ptvMGjQIPTq1QuXL1+2YqRkDbm5ehyIvQoA6B4eKnA05AiYYxyLq6sEnbvWBwDs5p5T9AgspqgI7ilFjmjmzJkIDQ3FqlWrEBUVhenTp0OvL76HSF5eHqKjoxESEoIFCxZg7dq1qFGjhgARU0U6sO8q8vLy0bhpEIKCfYQOhxwAc4zjeSGioKNl766LMBhMAkdDtozFFFlwTylyRNnZ2bh48SKioqLg4eGBTp06wcvLC/HxxZe93b59O1q0aIF+/frB09MTbm5uRfa5I8ewe3tBT3P3vzboJHoSzDGOqUFoAIKr++LevVycOHZL6HDIhrGYIgvuKUWOKC0tDT4+PpBKpZZjQUFBSElJKdb2xIkTSE1NxfDhw/Hiiy/i448/hkajsWa4VMHUaVk4+WcipFIJOnWtJ3Q45ACYYxyTSCSydLhwqh89DIspsuCeUuSIdDodZDJZkWMymQw6na5Y2/T0dDRt2hSzZ8/GsmXL4O3tje+//95aoZIV7Nl1EWYz0O7ZEHh6ckSAnhxzjOPq1qOgmDr4ewJy7hf/eRIBLKboHwr3lJq3eDAWrRzKPaXIIchkMhiNxiLHSrr4AQp6Ihs2bAh3d3e4u7tj0KBBOHv2rLVCpQpmNpuxa3vhKn6c4kflgznGcSkDvdG0eTB0OgP2/XZF6HDIRrGYoiKkUhfUCvFnIUUOIyAgAOnp6dBqtZZjycnJUCqVJba9devvufEGg6HI1B2yb5fi05B48x58/dzxTJunhA6HHARzjGPr0bNgIYrCjhiif2MxRUQOzdPTEw0aNMCaNWuQl5eHAwcOQKPRIDQ0FHFxcRg9erSlbefOnbF69WokJSUhJycHK1asQMeOHYULnsrV7h0FCwI8370BXFwkAkdDjoI5xrF17FIPcrkLzp5SIVmVKXQ4ZIM4/EBEDm/ixImIiYnB+vXrERAQgOjoaEilUuTm5kKlUlnaderUCXfv3sX777+P/Px8PPfccxg6dKiAkVN5yc834rfdlwAA3TnFj8oZc4zjcveQ4tlOdfHrznjs3n4BI8e0EzoksjEis9lsFjoIIiKiinRwfwI+fHcTaoVUweKVwyASiYQOiYjsxIljtzDpjXUICPTC6o2jIRYzf9DfOM2PnAY3JCZyXn/vLRXKQoqIHkvzp6ujqsITaSlZOHtK9egXkFNhMUVOgRsSEzmvLE0e/jh4DWKxCF1faCB0OERkZ8Tiv/ec2rntvMDRkK1hMUVOgRsSEzmv/bFXYTCY0OKZ6qjiX0nocIjIDnUPL1jV7/fYK8jL0wscDdkSFlPkFLghMZHz2vvrRQDA893qCxwJEdmr6k/5IbRxIPJy83Fg31WhwyEbYrViSq1WY/LkyejduzdGjx6Nc+fOldjObDZj/vz56N+/PwYMGIAlS5aU2G7Xrl3o0aMHNBpNBUZNjoIbEhM5pzvp93H6RBJcXSXo0KmO0OEQkR17oXDPqW3cc4r+ZrViaubMmQgNDcWqVasQFRWF6dOnQ68vPkwaGxuLkydPYs6cOZg1axYOHTqEw4cPF2nz559/Yvfu3dYKnRwENyQmcj6xey7DbAbatKsJT0+50OEQkR3r3LUepFIJTv6ZCHValtDhkI2wSjGVnZ2NixcvIioqCh4eHujUqRO8vLwQHx9frG1cXBwiIyPh7+8PpVKJ8PBwxMXFWZ5PSEjAwoUL8dFHH1kjdCIismN7dxdM8evCKX5E9IQ8PeVo92wIzOa/NwEnskoxlZaWBh8fH0ilUsuxoKAgpKSkFGubmpoKhUJheRwYGGhpd/v2bcyYMQMffPABfH15zwsRET2YKikDl+LT4ObuirYdagsdDhE5gB6FU/22XwC3aiXASsWUTqeDTCYrckwmk0Gn0xVrq9Vqi7SVyWTQarUAgM8++wxvvPEGqlWrVrEBExGR3fvt10sAgPbPhkAudxU4GiJyBE+3fgp+fu5QJRZ01hBZpZiSyWQwGo1FjpVUYAGAXC6HwWAo0k4uL5jnfuPGDXz44Yfo3bs3evfuDQB45ZVXcOTIkQqMnoiI7I3ZbMZvuwuKqee7c4ofEZUPFxcxOnWtB+DvDhtyblYppgICApCenm4ZYQKA5ORkKJXKYm2VSiVUqr93l05JSbG027ZtG7Zs2WL5AwDLli1DmzZtKvgMiIjInlxPuIObN+7Cy1uOp1s/JXQ4RORAunQr2Pw7ds9lGI0mgaMhoVmlmPL09ESDBg2wZs0a5OXl4cCBA9BoNAgNDUVcXBxGjx5taRsWFobNmzcjPT0darUaO3bsQNu2ba0RJhEROYjChSee61wXrq4SgaMhIkcS2liJgEAv3Em/j7OnVY9+ATk0qy2NPnHiRJw9exYDBw7EsmXLEB0dDalUitzc3CIjUV26dEGTJk0wduxYjB8/Hu3bt0e7du2sFSYREdk5s9mM3/Zwih8RVQyRSITn/xqd2rubU/2cncjMpUjIien1BqgSMxBc3Zf7TxE5iPNnUzBu1EpU8a+EdVtfg0RitX5DInIS1xLSMeLln+HlLcfGna9zBNyJ8TcMOS293oCRUUsxZsQKjIxaCr3e8OgXEZHN++3Xgil+nbvWYyFFRBWidog/ataqjCyNFn8evSl0OCQg/pYhp6VKzIBanQWd1gC1OguqxAyhQyKiJ2Q0mrBvz2UA3KiXiCpWl+6c6kcspsiJBVf3hULhBZncBQqFF4KrcyNoInv359FbuHcvF0HVfFC/YYDQ4RCRAyvssDm0PwFabb7A0ZBQeJMIOS2p1AWLVg7lPVNEDmTX9gsAgBciQiESiQSOhogcWVCwDxqEBuDihTT8cfAaOnflaLgz4sgUOTWp1AW1QvxZSBE5gOxsLQ7uTwAAdA9vKHA0ROQMCvec4ga+zovFFBEROYR9ey5DrzOg+dPVEKD0FjocInICnbvWg0gEHIm7gexsrdDhkABYTBERkUMonOLXo2cjgSMhImdRxb8SmrWshvx8Iw7uuyp0OCQAFlNERGT3khIzcP5sCtzcXPFspzpCh0NETsSygS+n+jklFlNERGT3dv81KvVc57pwd5cKHA0ROZPnOteBi4sYJ48n4s6d+0KHQ1bGYoqIiOyayWTG7h1/TfHrFSpwNETkbLy83RDWvjZMJjP27roodDhkZSymnJheb8D1hHTo9QahQyEiKrNTJ5KgTstGgNILTZtXEzocInJCL0QUrCC6e0e8wJGQtXE9aCel1xswMmop1OosKBReWLRyKJcHJyK7tGv7eQAFy6GLxdxbioisr027WvDyluPa1XRcvXwbdepVFTokshKOTDkpVWIG1Oos6LQGqNVZUCVmCB0SEdFjy83V40BswQpaL3AVPyISiKurBF26FWzaWzjtmJwDhyKcVHB1XygUXpaRqeDqvkKHRPRASUlJOHPmDG7fvo2cnBy4u7ujatWqaNq0KapXr/7I16vVasyYMQOXL1+GQqHAhAkT0Lhx44e+5ptvvsG1a9cwd+7c8joNqgD7f7uCvLx8NGkWhKBgH6HDITvFHEPloXtEKDauO409uy5i7JvPwcWFYxbOwGrFVGkTjdlsxoIFC7B7926IRCJERERg+PDhAIC7d+9i1qxZuHLlCrRaLWrWrInXX38ddepwGdzHJZW6YNHKoVAlZiC4ui+n+JFNOnbsGJYvX45bt26hQYMGUCqV8Pb2hkajQUJCAn766Sc89dRTGDx4MNq0afPA95k5cyZCQ0PxySef4NixY5g+fToWL14MqbTkVd+WLFmCpKSkijotKkeFe0u9EMGFJ+jxMcdQeWrQMADVa/gh8dY9HD96E2HtagkdElmB1a6gS5toYmNjcfLkScyZMwcGgwFTp05FvXr1EBYWBpPJhG7duuHdd9+FXC7H2rVrsXDhQkyfPt1ap+FQpFIX1ArxFzoMm6LXG1hg2ohvvvkGZ86cweDBg/Hcc8/B3d29WJv79+9j7969+O6779CyZUtMnjy5WJvs7GxcvHgR06ZNg1QqRadOnbB27VrEx8ejWbNmxdrv2rULN2/exIgRIzBv3ryKODUqJ2mpGpw6kQSpzAUdn68ndDhkZ5hjqLyJRCK8EBGKn2YfxK5tF1hMOQmrjD8WJpqoqCh4eHigU6dO8PLyQnx88RVP4uLiEBkZCX9/fyiVSoSHhyMuLg4A4O/vj3bt2sHT0xN6vR6ZmZkICQmxximQEyhclGPMiBUYGbWUqxwKTK/XY8GCBejRo0eJFzkAUKlSJfTt2xcLFixAVlZWiW3S0tLg4+NTpOMmKCgIKSkpxdr++eef2L17N6KjoyGRSMrnRKjC/LqzYAniZzuGoFIlmcDRkL1hjqGK0LVHA4hEQNyBBGRna4UOh6zAKsXU4ySa1NRUKBQKy+PAwMBi7VasWIH+/fsjLS0Nw4YNq7jAyalwUQ7b8uGHH0Iul5eqbaVKlTBt2rQSn9PpdJDJil5oy2Qy6HS6IsfS0tKwcOFCfPTRR6X+d0k4ZrPZslFv93BO8aPHxxxDFUER4IXmLatDrzfi971XhA6HrMAqxVRpEw0AaLXaIm1lMhm02qKV/eDBg7FhwwYoFAp8//33FRM0OZ3CRTlkchcuymGHRKKSl8SWyWQwGo1FjpWUk27fvg2VSoVhw4ahd+/e+PDDD5GYmIjevXsjJyenwuKmsrkYn4akxAz4+bmjZasaQodDToA5hkqru2XPKa7q5wysclNIaRMNAMjlchgMhiLtSurBcXNzQ2RkJCZOnFj+AZNT4qIctmX48OEPvHj5p8WLFz/0+YCAAKSnp0Or1VpySXJyMiIiIoq0a9KkCbZu3Wp5fPbsWcyePZsrbdmowlGp519owBWzqEyYY6iiPNepLmZ+tRdnTycjWZXJlUYdnFWuFkubaABAqVRCpVIhNLRg2kZKSgqUSmWJ76vT6R64Ug5RWXBRDtsxZswYAAXTudauXYt27dohODjY8vzevXvh4+PzyPfx9PREgwYNsGbNGgwcOBDHjx+HRqNBaGgo4uLisGTJEsyfP7+iToMqQH6+EbG/XgbAKX5UdswxVFHcPaR4tlNd/LozHrt3XMDI19oJHRJVIKsUU4+TaMLCwrBx40a0aNECJpMJO3bswIgRIwAA+/btQ15eHtq2bQuz2YxFixahXTt+QIkcUVhYmOXrWbNmoV+/fnBx+TtlVatWDV9//XWp3mvixImIiYnB+vXrERAQgOjoaEilUuTm5kKlUpV77FSxjvxxAxpNHmqFVEFIXXZ+UNkwx1BF6h7RsKCY2h6P4a+2hVj86FFQsk9Wm8dU2kTTpUsXXLt2DWPHjoVYLEZERISlYPL398fChQuxcOFCSKVStGvXDiNHjrTWKRCRgDQaDSpXrmx5XLlyZSQnJ5fqtYGBgYiJiSl2vGvXrujatWuJr2nSpAmn39iovxeeaFiqaVpEpcEcQ+WpxdPVUVXhidQUDU4eT8TTrXlvp6MSmc1ms9BBEBE9zJw5c3D9+nWMGjUKAQEB0Gg0WL9+Pe7evYsvv/xS6PDIirI0eejXYy6MRhPWbxuDKv6VhA6JHABzDFWEJfP/wKKf/kCn5+vi0//2FjocqiAspojI5un1eixatAi//vqrZRXQp59+GuPHj4e/P6d5OZPNv5xGzPS9eLp1DXz7wwChwyEHwRxDFeG2OhsDe/8EkUiEX7aPgV9lD6FDogrAYoqI7EpmZiY8PT254aWTGjdqJc6fTcF/Pg1Ht/CGQodDDog5hspT9Nsb8cfBaxj75rOIGtpK6HCoAnA9WSKyKz4+PrzIcVKqpAycP5sCNzdXdOgUInQ45KCYY6g89e7XBACwddNZcPzCMbGYIiIiu/DrjngAwLOd68DNjdtiEJHtaxVWE/5VPZGclIlTJ5KEDocqAIspIiKyeWazGb/uLCimXuDeUkRkJ1xcxIjo0wgAsHXjWYGjoYrAYoqIiGzemVMqpCRr4F+1Epq1rCZ0OEREpRbRuzFEIuDAvqvIzMgVOhwqZyymiIjI5u3ceh4A8EJEKCQS/uoiIvuhCPBC67Y1kZ9vxK6/9skjx8HfSERk0+7evYukpOLzzJOTk5Geni5ARGRtubl6/P7bFQDACz0bCRwNObKkpCTcuHFD6DDIAfXq1xRAwVQ/LkThWFhMEZFNy8vLw/vvvw+DwWA5ZjKZ8J///AdZWVkCRkbW8vvey8jLy0fjpkGoVt1X6HDIgf3444/43//+J3QY5IDC2tVC5SoeSErMwJmTKqHDoXLEYspJ6PUGXE9Ih15veHRjIhsSHByMkJAQ/P7775Zjf/zxB6pWrYratWsLFxhZzc5tBdNievTiqBRVnISEBNy7dw9GoxHnz58XOhxyMC4uYkT0bgwA2MKFKBwKiyknoNcbMDJqKcaMWIGRUUtZUJHd6devHzZv3mx5vHnzZkRGRgoYEVlLsioTZ06pIJe7oPPz9YQOhxzYpk2b0KdPH/Tp0wcbNmwQOhxyQBF9GkMsFuH33y7jzp37QodD5YTFlBNQJWZArc6CTmuAWp0FVWKG0CERPZamTZvCbDbj/PnzuHLlCjIzM9G6dWuhwyIrKFx44rkudeHuwb2lqGLcvXsXJ0+eRNeuXdGxY0dcuXIFKSkpQodFDkYZ6I12z4bAYDBh07rTQodD5YTFlBMIru4LhcILMrkLFAovBPOeg8fCKZK2ITIyEps2bcLmzZvRp08focMhKzCZzJaVr3pw4QmqQFu3bkWXLl0glUrh4uKC8PBwbNq0SeiwyAENGtwSALD5lzPQafMFjobKA4spJyCVumDRyqGYt3gwFq0cCqnUReiQ7AanSNqO5557DlevXsWZM2fQrVs3ocMhKzh5PBG31dkICPRCsxbcW4oqhlarxa5du4p00oSHh2P//v24f59Tsah8NW4ahPoNFNBo8rB7R7zQ4VA5YDHlJKRSF9QK8Wch9Zg4RdJ2SCQSREVFYcCAAZBKOd3LGez4a4pfj56NIBaLBI6GHNWtW7fw4osvokqVKpZjPj4+iIqKws2bN4ULjBySSCTCwMFPAwDWrT4Bk4nLpNs7kdlKi92r1WrMmDEDly9fhkKhwIQJE9C4ceNi7cxmMxYsWIDdu3dDJBIhIiICw4cPBwCoVCrMnj0b165dg9lsRqtWrfDGG2/Azc3NGqdATqhwZEqtzoJC4cWRPSIryc7Wol+PudDrDFizeTSUgd5Ch0REVC4MBiMG9VmA9NvZ+Pq7SLRpV0vokOgJWG1kaubMmQgNDcWqVasQFRWF6dOnQ6/XF2sXGxuLkydPYs6cOZg1axYOHTqEw4cPAwBycnLQvn17zJs3DwsXLkR2djZWr15trVMgJ8QpkkTC2LfnMvQ6A5o/XY2FFBE5FBcXCV4c1BwAsHbVCYGjoSdllWIqOzsbFy9eRFRUFDw8PNCpUyd4eXkhPr74XNG4uDhERkbC398fSqUS4eHhiIuLAwDUq1cP4eHh8PHxgaenJzp06IDr169b4xTsChdMKF+cIklkfTu3FUzxC+feUkTkgHr1bQK53AV/Hr2FawnpQodDT6BUV4c3b95EbGwszpw5g/T0dNy/fx8eHh7w9/dH06ZN0blzZ9SsWfOBr09LS4OPj0+R+xyCgoKQkpKCZs2aFWmbmpoKhUJheRwYGIhDhw6V+L5XrlxBtWq8KfmfOC2NiOxdwpXbuHAuFR4eUjzbqY7Q4RARlTtPLznCezfGhrWnsG7VCURPfUHokKiMHnqVnZmZiR9++AGnTp3CM888g969eyMgIADe3t7QaDRQq9U4fPgwJk2ahKeffhrjx4+Hj49PsffR6XSQyWRFjslkMuh0umJttVptkbYymQxarbZYu4sXL2L//v2YNWtWac/VKZS0YEKtEH+hwyIiKrWNf+2/8kLPULi5cbERInJM/V9qgY3rTmHPzot4bVwH+FX2EDokKoOHFlPjxo3Ds88+iyVLlsDT07PIc8HBwQgNDUXnzp1x7949LF26FGPHji3xHiaZTAaj0VjkWEkFFgDI5XIYDIYi7eRyeZE2iYmJ+OKLLzBlypQio1j0955ShSNT3FOKiOxJdrYWe3YVTAHv27+ZsMEQEVWg4Gq+aPdsCA7tT8CmX05j5GvthA6JyuChxdSECRPQpk2bR76Jn58f3nrrLfz+++8lPh8QEID09HRotVpLYZScnIyIiIhibZVKJVQqFUJDQwEAKSkpUCqVludv3LiBjz76COPHj0fLli0fGZuzKVwwQZWYgeDqvpziRw7BbDZj165dOHr0KDIzM/Hdd9/hjz/+gF6vR8eOHYUOj8rRzq0XoNUa0PKZ6qjxVGWhwyEnwRxDQhn4cksc2p+AjWtP4+VXnuFovB166AIUpSmk/ulBCcfT0xMNGjTAmjVrkJeXhwMHDkCj0SA0NBRxcXEYPXq0pW1YWBg2b96M9PR0qNVq7NixA23btgVQMLVv6tSpeOuttx47NmfCBRMqHhf5sK4lS5Zg8+bNaNq0KW7cuAEAqFq1KjZs2CBwZFSeTCYzNv1yGgDQb0BzYYMhp8IcQ0Jp2iIYDRspodHkYevGc0KHQ2VQ6qvtJ+21mThxImJiYrB+/XoEBAQgOjoaUqkUubm5UKlUlnZdunTBtWvXMHbsWIjFYkRERKBdu4JhzxMnTuDevXv46KOPirz3okWLON2PrIaLfFjfb7/9hpiYGCgUCixZsgQAUL169SK5g+zfn8duQZWYgaoKT7TtUFvocMiJMMeQUEQiEV4Z0Qbvv7MRq5cfR9/+TXlNYWdK/dNasmQJjh49iu7du1sSTdWqVTFr1qxSFVOBgYGIiYkpdrxr167o2rWr5bFYLMbYsWMxduzYYm2HDBmCIUOGlDZkogrBRT6sz2AwwNu7YK8hkUgEAMjNzYW7u7uQYVE527juFACgd2RTuLhYbRtEIuYYElTbDrVQu44/rl1Nx65tF9A7sqnQIdFjKPVvq99++w2ffvop+vXrZznGXhtyRoWLfMjkLlzkw0qaNWuGpUuXwmw2W46tXr0aTZvyF46jSEvV4PCh63BxEaNnn8ZCh0NOhjmGhCQSiTBkeGsAwMqlx2AwmASOiB5HqYsp9toQFShc5GPe4sGc4mclY8aMQXx8PF5++WXk5+cjKioK58+fx6hRo4QOjcrJ5l/OwGQyo9Pz9bg8MFkdcwwJrWOXugiu7ouUZA1i91wSOhx6DKW+CizstfnnYhHstSFnVbjIB1mHr68vZs6ciStXruD27duoUqUK6tatC4lEUqrXq9VqzJgxA5cvX4ZCocCECRPQuHHx0Y8jR45g5cqVUKlUcHd3R+/evTFw4MDyPh36F53OgG2bC2685sITJATmGBKaRCLG4GGt8NVnu7F88VE8370BxGKR0GFRKZR6ZIq9NkQkpOzsbNy5cwcajQYNGjRAamoqbt++XarXzpw5E6GhoVi1ahWioqIwffp06PX6Yu1yc3MxZMgQrFy5El999RW2b9+OEydOlPep0L/8/ttlaDLzUKdeVYQ2Vj76BUQVgDmGhNatR0NUVXji5o27iDuQIHQ4VEqlLqYKe20+/fRTREdHY+rUqfjf//4HPz+/ioyPiAinTp3CyJEjsWLFCsybNw8AoFKpMGfOnEe+Njs7GxcvXkRUVBQ8PDzQqVMneHl5IT4+vljbzp07o1WrVpDL5QgKCkLTpk1x/fr1cj8f+pvZbMYvawoWnug3oLllGjmRNTHHkC1wdZXg5VeeAQAsW3SkyD18ZLsea7mkJ+m1ISIqqwULFmDSpEmYPXs2xOKCtFW/fn1cuvToeeVpaWnw8fGBVPr3RohBQUFISUl56OvMZjOuXr2KatWqPVnw9FBxB67hUnwavH3c8Hz3+kKHQ06KOYZsRc8+jeHr545LF9X489gtocOhUih1MfUkvTZERE8iNTUVrVsXrHRUOHLh7u6O/Pz8R75Wp9NBJpMVOSaTyaDT6R76ul9++QUSiQTPPPNMGaOmRzEaTfjpx4MAgGGjwiCXuwocETkr5hiyFTK5Kwa83BIAsGheHEwmjk7ZulIXU0/Sa0PkDPR6A64npEOvNwgdisMJDg7GuXNFd4Y/efJkqXp0ZTIZjEZjkWMlXfz80/79+7F161Z8/PHHpb4BnR7f7u0XcPPGXQQEeqF3ZBOhwyEnxhxDtqRf/2bwq+yBC+dSsW3TWaHDoUcodTH1JL02RI5OrzdgZNRSjBmxAiOjlrKgKmfDhg3DF198gZ9++glGoxELFy5ETExMqTbxDggIQHp6OrRareVYcnIylMqSFzrYt28fFi1ahP/+97/w9+eKjRVFp83Hwnl/AABeHdueWwyQoJhjyJZ4VJJh4rudAQBzvz+Au3dyBI6IHqbUxdST9NpQxeFoiG1QJWZArc6CTmuAWp0FVWKG0CE5lJYtW+Lrr79Gfn4+mjdvjtzcXHz++edo2bLlI1/r6emJBg0aYM2aNcjLy8OBAweg0WgQGhqKuLi4Its9bNu2DStWrMDXX3+NwMDAijwlp7dh3Wmk385GSB1/PN+9gdDhkJNjjiFb07FLXbRpVxP37+vww8x9QodDD1HqrsDCXptu3bpZem127dqF6OjoioyPHqJwNEStzoJC4cUNZAUUXN0XCoWX5WcRXN1X6JAcyowZMzBhwgS88cYbZXr9xIkTERMTg/Xr1yMgIADR0dGQSqXIzc2FSqWytDtw4ABSU1MxcuRIyzGFQoFFixY98TnQ37KztVi+5CgAYMz4Z7mXCgmOOYZsjUgkwqQpz2PYoMX47ddLeCEiFK3b1hQ6LCqByPwY6y5ev34dO3fuhFqthr+/P7p164Z69epVZHz0ENcT0jFmxArotAbI5C6Yt3gwN5IVkF5vgCoxA8HVfVnUlrOBAwdi5cqVcHHh99URzPvhAFb8fAzNn66G72YP5HLoJDjmGLJVq5Ydx5xZ+xEQ6IWla0ZwoR4bVOppfjNmzEBwcDDeeOMNTJs2DW+++SYLKYEVjobI5C4cDbEBUqkLaoX4s5CqAM2bN8eZM2eEDoPKQfrtbKxbfRJAwagUCymyBcwxZKsGvNwCIXX8kZaShcXz/xA6HCpBqa/6jh07ZlnFj2yDVOqCRSuHcjSEHJ7RaMT333+Ptm3bFnvutddeEyAiKqsl8w9DrzOgY5e6aBha8g36RNbGHEO2ysVFgnc/7IbXR6zA2hV/otsLDVG7Dmch2ZJSV0fstbFNHA0hZ+Du7o4mTZrg/v37xf6Q/bh2NR3bt5yDRCLC6NfbCx0OkQVzDNmyhqFK9BvQHEajGdM/24X8fOOjX0RWU+p7pj7//HMkJCSUuddGrVZjxowZuHz5MhQKBSZMmIDGjRsXa2c2m7FgwQLs3r0bIpEIERERGD58uOV5o9GI8+fPY9q0afjll19KEzoREQnMbDbjrXFrcerPJLw4qIVl2V8iInq0nPs6jBj8M9JSsjB4WCuMGf+s0CHRX0o9nPHPXpuymDlzJkJDQ/HJJ5/g2LFjmD59OhYvXgypVFqkXWxsLE6ePIk5c+bAYDBg6tSpqFevHsLCwgAAY8eORUpKSrHXEZHjun37donHXVxc4OfnZ+VoqCwO7LuKU38mwdvbDSNfK94pRyQk5hiydR6VZJg6LQJvvrYaK5cewzNtnkKLp6sLHRbhMVfzK6vs7GwMGTIE69atsxRBr7/+OsaMGYNmzZoVaTtt2jSEhYWha9euAIANGzbg+vXrePfddy1t1Go1xo4di40bN1Z06ERkA8LDwyESifDPdFW4cIFEIkFYWBjGjRsHb29voUKkh9DpDBg6cDFSUzR4+73n0bd/M6FDIiqCOYbsxaJ5cViy4DD8q1bC4pXD4OXtJnRITq/UI1NP0muTlpYGHx+fIqNJQUFBSElJKVZMpaamQqFQWB4HBgbi0KFDpQ2TiBxQnTp1MHz4cNStWxdAwZSxHTt24P79+wgPD8fq1asxb948TJkyReBIqSTrVp5AaooGNWtXQc++TYQOh6gY5hiyF0NHheH40Vu4cC4FM/67B5/+txdXRRVYqYup4cOHl7nXRqfTQSaTFTkmk8mg0+mKtdVqtUXaymQyaLXa0oZJZPO4H9XjS0pKQpMmTSCRSCzHevTogfHjx2PkyJEYNWoUxowZI2CE9CB30u9j2eIjAIAJb3eCiwtXhSXbwxxD9sLFRYyp08IxcshS/P7bFezceh7hvYuvQUDWU+rfanXq1MHnn3+OdevWYd26dVi7di2GDRuGF198ET/99BPc3Nwwb968El8rk8lgNBZdeaSkAgsA5HI5DAZDkXZyuby0YRLZNL3egJFRSzFmxAqMjFoKvd7w6BcRfH19kZCQUORYfn4+cnNzAQBisRg5OTlChEaP8NOPB5GXl48OHUPQslUNocMhKhFzDNmTwGAfTJrSBQDwvxmxSErMEDgi51bqYqqw18bDwwMeHh6oVKkSevTogf379yMgIACjRo3C6dOnS3xtQEAA0tPTi4wwJScnQ6ksvseIUqmESqWyPE5JSSmxHZE9UiVmQK3Ogk5rgFqdBRUTYKn0798f06ZNw9q1a3Hw4EFs374dH3/8Mdq3L1he+9KlS6hSpYrAUdK/xV9Ixa7tF+DqKsG4iR2FDofogZhjyN5069EQz3evj7y8fEx9bzNy7hef7UXWUepi6kl6bTw9PdGgQQOsWbMGeXl5OHDgADQaDUJDQxEXF4fRo0db2oaFhWHz5s1IT0+HWq3Gjh07SlyOncge6PUGXE9It4xABVf3hULhBZncBQqFF4Kr+wocoX0onG5z4cIFLF++HPv27UOHDh3w+uuvAygYOZ8+fbrAUdI/6XQGfDt9LwBgwMstERTsI2xARA/BHEP2RiQS4e3orqj+lB+uJ9zB1OgtMBi4/5QQSr2a386dO7F8+XL06dMHSqUSWVlZ2LVrF0JCQjBx4kScOHECs2fPxsKFC0t8fUpKCmJiYnDlyhUEBATgzTffRJMmTbBnzx58++232LlzJwDAZDLhp59+wp49eyAWi4vtMzVx4kSkpKTg/v378PLyQtu2bTFx4sQn/07YAd5rY18Kp/Sp1VlQKLywaOVQSKUu/DmSwzObzfjyk53YvSMeAYFeWLxiGDwqFZ/WTURETyYlOROvj1yJjHu5iOjTGFM+7MYFKazssZZGP3z4MHbt2oW0tDR4enqiVatW6Nu3L6RSKbKysqDT6eDv71+R8TqtB12Yk+26npCOMSNWQKc1QCZ3wbzFg1ErhP8/ykKn02HVqlU4evQoNBoNVq5ciX379iErKwt9+vQROjz6l7Ur/8QPM3+HXO6COYsGo3Ydfu7JtjHHkD2Lv5CKiWPWQKczYPS49nhlRBuhQ3Iqj7WsUlhYGD799FPMmzcPM2bMwMCBAy3LnXt5ebGQqkC818b+cEpf+Zk7dy4uXryIIUOGWKYT16pVC7t27RI4Mvq340dvYvb/9gMA3v+4BwspsgvMMWTPGoYq8dHnERCJgPmzD2HProtCh+RUSj20wV4bYRVemBeOTPHC3PZJpS5YtHIop/SVgyNHjmDOnDnw8fGxTF8ICgpCWlqawJHRP6mSMvDJB9tgMpkxdGQbdHq+ntAhEZUKcwzZuw4d62D8pE74/tt9mD5tF/z83LmCqpWUemSKvTbW9e+FCwovzOctHswpfnZEKnVBrRB//ryekEQiKbL/CwBkZGTAy8tLoIjo33Jz9PjgnU3IztKibYfaGDmmndAhEZUacww5ggEvt8SLg1ogP9+IyRN/wY4t54QOySmUupg6cuQI3n//fbRr1469NhXsQXsR8cKcnFXr1q3xww8/4P79+wAKNvdesGAB2rThvHBbkJurx9ToLbh54y5q1PTD1GnhEIt5AzTZD+YYchTjJ3VE/5dawGAwYfpnuzH7f7/DaDQJHZZDK3UxxV4b6+H9Uc7n3yORVNSoUaNgNBoxaNAg6PV69O/fH1qtFkOHDhU6NKd3904OJoxZg+NHbsLb2w1fftOXK/eR3WGOIUchkYgx4Z3OePf9rpBIxFi9/E98+O4m7kNVgUq9mt/333+P+/fv480338SQIUOwevVqzJw5Ez4+PpZ9GKh8cOU+58Kfd+llZmZCrVbD398ffn5+Qofj9G7dvIvJE39BWkoWAoO88c3/XkS1Gvy5kP1ijiFHcvLPRHwUvQVZGi1q1qqML2P6cc+/ClDqYio3NxfffvstDh8+DLPZDLFYjJYtW2LKlCnw8PCo6DidDvcich5cQv3RjEYjLly4gMzMTPj5+aFhw4YQix9rMVIqZ2dOqfDBuwX3SDUIDcD0b/vB14+/C8g+MceQo1IlZSD67Y1IvHkPbm6uGDfxOfSObMq9qMrRY+0zBbDXhqi8cWTq4Y4cOYLvvvsOeXl58PT0RHZ2Nry9vTFp0iQ0b95c6PCc0t7dFzF92i7o9Ua0e7Y2Pv6iJ+RyV6HDIioT5hhydNnZWsz4cg/27b0MAHimzVN47z/dUVXhKXBkjqHUxRR7bSoOR6GopM8APxdAQkICpkyZgtGjR+P555+Hq6sr8vPzERsbi/nz5+Prr79GrVq1hA7Taeh0Bvw4cx82/XIGANBvQDNMeKczJBL+LiD7xBxDzuS3Xy9h5td7kaXRolIlGSa82xndwxtylOoJlaqYYq9NxeGoBJWEn4sCX3/9NQIDAzFkyJBiz61cuRIpKSl49913BYjM+SQlZuCT97fi6pXbcHWVYPykjujbvxl/CZNdY44hZ3P3Tg6++fJX/HHwGgCgectqeO2NDghtHChwZPbrkd2JCQkJ+PrrrzFs2DCsX78ey5cvx/r16zF48GB88cUXuH79ujXidFhcuY9Kws9FgbNnz6Jz584lPtelSxecOnXKyhE5p99+vYTRQ5fh6pXbCAr2wZzFUeg3oDkLKbJ7zDHkbCpX8cB/Y/ri/Y9fgKeXHKdOJOH1kSvx4eRNuHHtjtDh2aVHFlMbNmxAZGQkevToAVfXgjnxrq6u6N69OyIjI7Fhw4YKD9KRBVf3hULhBZncBQqFF4Kr+wodEtmAB30unG0J9ezsbCgUihKfq1KlCrKysqwckXO5eeMuPvlgKz79cBtyc/To9HxdLFj2CurWK/lnQmRvmGPIGYlEIvTo2QirN72KV0a2gVzugoO/J2BE1M/48pOdOHcmmXtTPYZHzhs6e/ZsicPfQEGvzdtvv13uQTkTqdQFi1YOdfp7Y6iokj4Xzjj1z2QyFdvfrtCDjtOTu3HtDn5eeBj79l6G2QxO6yOHxRxDzszTU47Rr7dH5IDmWLroMLZsOItd2y9g1/YL8PZ2Q+u2NRHWvhZahT0FT0+50OHarEdeibHXpnyVtKiAVOrCpbCpmH9/Lkqa+ufonxuj0YgBAwY88HmTiT1n5UWnM+Dc6WRs3XQWv//2dxEV0bsRBg9vDUUAN2gnx8McQ1Qw9W/SlOcxKOpp/LL2FP44eA3Jqkz8ujMev+6Mh0QiQotnaqBz13ro8FwIvLzdhA7ZpjxyAYpevXph69atZX6e/uaMIwtUfh70+XHkVf/Onj37yDZNmjSxQiSOx2w249bNezh+5CaOHbmJ0yeSoNMVTB91dZWgZ9/GiBraikUUOTTmGKLizGYzkm5l4I9D13D40HWcPa2C0VhQLkgkYjzTpgY6dq6L0CaBCK7m6/Qruj6ymAoPD3/opry5ubnYvn37I/8htVqNGTNm4PLly1AoFJgwYQIaN25crJ3ZbMaCBQuwe/duiEQiREREYPjw4ZbnY2NjsWTJEmg0Gjz99NN455134O7u/sh/v6KVZmlrbs5KT+rfn6nHKbAcueh6lPLKP/YsN0ePi/FpiD+fggvnUhF/PgWZGXlF2oTU8UebdrXQt38z7j9C9BiYY8iRaTLzcPD3q4jdexmn/ky0FFYAIJO5oGbtKqhdxx+1Q/wRVM0HgUHeCFB6QyZzjmuNR57l9OnTy+UfmjlzJkJDQ/HJJ5/g2LFjmD59OhYvXgypVFqkXWxsLE6ePIk5c+bAYDBg6tSpqFevHsLCwpCWloY5c+bg448/Ro0aNTBr1iwsW7YMY8aMKZcYgbJdcJZ0QQug2LHCRQUKj3GxCXpcpZn6F1zdt1Sfxycd1aro4uz8+fNo1KhRqdtfvXoVderUKfG58sg/tsRkMsNkMsFoMCHfYEJujh4593XI+evvrCwtUlM0SEnORGpywd+31dn4d9eZr587Wj5TA63CnsIzrZ9C5SoP7jgjcjTMMUSl4+3jhp59m6Bn3ybIzMjF/n1XcfjQdVy7ehvqtGxcik/Dpfi0Yq+r4l8JykBv+FV2h6+vO3z83OHn5wFvHzfIZC5wlUoglbpA+tffrq4SuEoL/khdJXBxlUAiEf/1R2Sz9+w+8gqoPIa3s7OzcfHiRUybNg1SqRSdOnXC2rVrER8fj2bNmhVpGxcXh8jISPj7F1wwhoeHIy4uDmFhYThy5AjatGljSX6DBg3CtGnTyq2YKus0vActY13S/S1cbILKU0kFemk/jyUVXU/SgVDen+ePP/4YL730Evr27WtZSbQkRqMRW7duxapVq7BmzZpiz5dX/ikPqSkavP/ORmTey4UZBUURzIAZZpjNgNlkhtlshhkFPdgFj1Hw+K/nCgqpUu21XoREIkaduv5o2DgQoY0DEdpICWWQt83+ciKqaI6YY4gqmo+vO/pENkWfyKYAgOxsLa5dTce1hHTcuHbX0omXlpqFO+n3cSf9frn92xKJCGKxGGKx6O8/EjHEIhHwj19loiJf//2gyG+7v443ahKIz77q/US/Cx969VNevTZpaWnw8fEp0kMTFBSElJSUYokmNTW1yIIXgYGBOHToEAAgJSWl2HPp6enQ6/XFen/Koqw3+D9oxKmkY1xsgspTSav+lfbz+CQLWlhjMYyYmBh8++232LJlCzp27Ig2bdpAqVTC29sbWVlZUKvVOHbsGGJjY+Hp6fnAUfTyyj/lIStLi6RbGcjPNz7xe0kkYkhcCnrrPDxkcPeQolKlgr89PeUIUHohMMgbyqCCKReKAC+4unJ1MqJCjphjiKzN01OOZi2qoVmLakWOGwwmpN/Ohjo1C/fu5SAjIxeZ93Jx714usjR50OuN0OsM0OuNyNcboNMbkZ9f8HW+3gh9vhGGfCNMJjOMRhOMRvNff5789+c/XbuaDqPRDBeXCiqmyqvXRqfTQSaTFTkmk8mg0+mKtdVqtUXaymQyaLXaEt+n8GudTlcuxVRZp+E9aHlzjkKRNfy7QC/t5/FJpp1aY8rqU089hVmzZuHIkSOIjY3FtGnTkJ2dDZFIBLPZDE9PTzRp0gRjxox5aK9ueeWf8lCvvgJb97yB3Dw9xCIRRKK/es1E+OtxwdcikcjS0yb66zn81V4iKeiV44gS0ZNxxBxDZCtcXMRQBnpDGehdLu9nNhcWUyaYTCaYTYDRZILJWDBr45/t/v4aJX+Nvx94e7vBxeXJFtB46BV+efXayGSyYpVkSckHAORyOQwGQ5F2crnc8j7/fq7weHl4kj2fShpx4igUCaU0n8cn/bxbq7OgTZs2aNOmDYCCC5GcnBx4eHhY8sKjlFf+KS/uHlK4ezx55w8RlQ9HyzFEjkgkEsHFRfTEhU9FeOgV0IN6bQqVttcmICAA6enp0Gq1lqSRnJyMiIiIYm2VSiVUKhVCQ0MBFEztUyqVAAqGw69evWppm5KSgipVqpTLqFQhFkDkTJ7k8y7E/xVXV1e4uLg81sVHeeUfInJ8zDFE9LhK1Z38z16bnJwc5OTkwNPTE25updu0y9PTEw0aNMCaNWswcOBAHD9+HBqNBqGhoYiLi8OSJUswf/58AEBYWBg2btyIFi1awGQyYceOHRgxYgQAoHXr1li+fDkuXryIatWqYd26dWjbtm1ZzpuI7MidO3cwa9YsnDx5EmazGTKZDBERERg6dOhDpyAD5Zd/iMhxMccQUVmVem7OnTt38P333+PEiROPnWgAYOLEiYiJicH69esREBCA6OhoSKVS5ObmQqVSWdp16dIF165dw9ixYyEWixEREYF27doBKOjRGTNmDL744gtkZ2ejZcuWGDp0aBlOm4jsyYwZM1ClShX8+OOP8Pb2RmpqKpYsWYKFCxdi7Nixj3x9eeQfInJczDFEVFaP3LS3UHR0NKpUqYIBAwYUSTQ1a9YsVaIhIiqrF198EStWrCgy9ebOnTsYP348Vq9eLWBkROQImGOIqKxKfRfX1atXMX78eNSoUQM+Pj5o0KABJk+ejN9//70CwyMiAmrUqIE7d+4UOebl5YVS9gURET0UcwwRlVWpp/kVJprg4GDLMSYaIrKG2rVrY9GiRejWrZvlWGJiIoKCgnDkyBHLscJ7O4mIHgdzDBGVVamn+f3444+4e/dusURz5MgRDBw40HKMiYaIytvw4cMf2UYkEmHx4sUVHwwRORzmGCIqq1IXU0w0REREREREfyt1MUVERERERER/s71thImIiIiIiOwAiykiIiIiIqIyYDFFRERERERUBiymiIiIiIiIyoDFFBERERERURmwmCIiIiIiIioDFlNERERERERl4CJ0ANZ07949TJs2DS+++CI6dOgAANDr9Zg1axbi4uLg5uaGl19+Gb169RI40gebPXs2jh07hszMTNSoUQOvv/466tevb1fnsXz5cuzbtw937tyBr68vevXqhRdffNGuzuGfbt++jUmTJqFfv37o37+/XZ1HTEwMYmNjixz74IMP0K5dO7s6D1vBHGM7HCnPMMdQIeYY28EcYxtsIcc4TTG1Zs0aLF26FCaTqcjx9evX4969e1i8eDHu3r2LDz/8EA0bNkTt2rUFivTh3N3d8emnnyIwMBCxsbH47LPPsHz5crs6j8DAQHz22WdQKBRITEzEpEmT0KFDB+zdu9duzqFQTk4OPv/8c3h5eVmO2dPPAgBGjBiB/v37Fztub+chNOYY2+IoeYY5hgoxx9gW5hjbIXSOcZppfoMGDcL27dvRuHHjIsfj4uLw0ksvwcfHB7Vr18Zzzz2HuLg4gaJ8tOHDh6NGjRpwdXVFt27dkJmZCY1GY1fn0blzZwQGBgIAMjMzUblyZXh5ednVOQBAfn4+Pv/8c0RGRiIkJMRy3N7O40Ec5TyshTnGtjhCnmGOoX9ijrEtzDG2z1rn4TTF1IOkpqZCoVBYHgcGBiI1NVXAiEovISEBlSpVgpeXl92dR2pqKnr37o2vv/4a0dHRkMvldncO3333HVq0aIGOHTsWOW5v57FkyRL07dsX48aNw/Hjxy3H7e08bJU9fx/tOccA9p9nmGOoNOz5+8gcIyzmmPLh9MWUTqeDTCazPJbL5dBqtQJGVDp6vR7ff/89Bg0aBLFYbHfnoVQqsWXLFkyePBkff/wxsrOz7eoc1q9fD7lcjgEDBhR7zp7OY8SIEfjll1+wZs0a9O/fH//973+Rnp4OwL7Ow5bZ6/fR3nMMYN95hjmGSstev4/MMcJijik/TnPP1IPIZDIYDAbLY61WC7lcLmBEj2Y0GjF9+nTUqFED/fr1A2Cf5yGRSNCiRQsolUpcuHDBrs4hKSkJ+/btw549ewAU/ExEIhGuXLliV+fh5+dn+bpz587Yvn074uPj8dxzz9nVedgye/w+OkqOAew3zzDHUGnZ4/eROUZ4zDHlx+lHppRKJZKSkiyPU1JSoFQqBYzo4fR6Pb744gvIZDK89dZbEIlEAOzvPP5Jp9PB1dXVrs5h0qRJ2LJli+VP586dMXz4cHzwwQd2dR7/ptPp4O3tDcC+P1O2xN6+j46YYwD7yzPMMVRa9vZ9ZI6xDcwx5cfpi6m2bdti/fr10Gg0uHHjBvbv34+2bdsKHVaJ9Ho9pk6dCl9fX0yePBkSicTynL2cR05ODv73v//h1q1b0Ov12LFjBzIyMtCwYUO7OYdHsafzmDt3LlQqleVnodFo0KBBAwD2dR62zJ6+j46QYwDHzzP2dA7MMRXPnr6PzDH2wZ7OwRZyjMhsNpvL/V1t0IYNG7BmzRrk5ORAKpXC1dUVy5YtA1BwA94ff/wBNzc3vPTSS+jTp4/A0ZZMrVZj+PDhEIuL1sBRUVEYMGCAXZyHXq/HjBkzcOHCBeTk5CAkJASvv/46ateuDb1ebxfnUJKYmBjUqFHDsj+DvZzHF198gQsXLiAvLw8hISEYN24catasCQB2dR62gDnGdjhinmGOIeYY28EcYztsIcc4TTFFRERERERUnpx+mh8REREREVFZsJgiIiIiIiIqAxZTREREREREZcBiioiIiIiIqAxYTBEREREREZUBiykiIiIiIqIyYDFlp7766it89NFHMJlMJT4/d+5cxMTEAACys7MxatQo7Nq1y5ohEpEdY44hoorGPEOOwEXoAKxpypQpuHDhAkQiEVxdXREYGIjOnTujV69ekEqlQodXakeOHMGpU6ewcOHCYhvflcTT0xPvvfceoqOj0apVK/j5+VkhSiLnwxzDHENU0ZhnmGfItjjdyNSrr76Kbdu2YenSpRg2bBgOHDiA999/H/n5+UKHVmorVqzAyy+/DA8Pj1K/pm7dumjdujV++eWXCoyMiJhjmGOIKhrzDPMM2Q6nGpn6J09PT7Rq1QpNmjTBuHHjsHXrVkRGRgIATpw4gZ9//hkqlQoKhQKjR49GixYtAAB37tzB7Nmzcfr0abi7u8PV1RWNGjXCO++8A7VajeHDh2PUqFHYs2cPUlJSMHfuXPj4+GDRokU4evQo8vPz0bZtW4wZMwZyuRwAEBsbi7Vr1+L27duoUaMG3njjDYSEhJQY961bt3Dz5k107ty5yPH09HT88MMPOHfuHLy8vODq6or69esXadOlSxfExMTg1VdfhUgkKu9vKRH9A3MMcwxRRWOeYZ4h4TndyNS/yeVydO7cGYcPHwYAXL9+HV9++SWGDRuG1atXIyoqCl988QUyMzNhMpkwbdo0VKlSBcuWLcMPP/yAGjVqFHtPtVqNzz//HBs2bEBAQABmzpyJrKws/Pjjj5g7dy5UKhVWrVoFADh69CgWLlyIt956C6tXr8azzz6Lzz777IG9S6dPn0ZoaCg8PT0txwrjUigUWLZsGb7//ntUr1692GubNWuGnJwc3Lp1qzy+dURUCswxRFTRmGeIhOP0xRQA+Pn5ITMzEwCwY8cOdO3aFS1btoRUKkWHDh1QtWpVnDt3DlevXoVKpcKrr74KDw8P+Pj4ICAgoNj7DRs2DP7+/nB1dUV2djYOHz6MCRMmwNvbG76+vujbty+OHj0KANi2bRv69++P+vXrQyqVom/fvrh//z5u3LhRYqzp6elQKpVFjl29ehXJycmWuDw9PeHv71/stS4uLqhSpQpu3779hN8xInoczDFEVNGYZ4iE4bTT/P4pIyMDlStXBlDQE3Pq1Cns2LHD8rzJZEJGRgbMZjOqVKnyWDd4qtVqmEwmDB482HLMbDZb5gir1WosWrQIixcvLvLv3bt3r8T3y8nJgbe3d5FjaWlppY7L29sbOTk5pY6fiJ4ccwwRVTTmGSJhOH0xpdfrsW/fPvTr1w8A4O/vj759++LVV18t1vbUqVPIzs5+rPf39/eHWCzGqlWrSrzJ0t/fH7169UKvXr1K9X7u7u7Iysoqcszb2xsajQZms/mR84c1Gs1j3exJRE+GOYaIKhrzDJFwnHaaX05ODk6cOIHo6GhUqVIFL7zwAgCgW7du2LVrF44cOQK9Xo/MzEwcOXIESUlJqF+/PkwmE3bu3Am9Xo/Lly/j7NmzD/13/Pz80LJlS8yaNQu3b99Gfn4+bt26hdjYWADACy+8gDVr1uDs2bPIz8/H3bt3ERsbaxmq/7eqVatCrVYXOVa/fn2IRCJs374dOp0O58+fx6lTp4q91mAw4O7duyUOmxNR+WKOIaKKxjxDJDynG5lasGABFixYAFdXVwQHB6NLly7o2bMnJBIJgIL/zO+99x5WrFiBr7/+2rKSzLhx4+Dm5oYPPvgAP/74I+bPn4+6devCz88PLi4P/zZOnjwZy5Ytw+TJk6HRaKBQKNCjRw8AQIcOHaDX6zFv3jwkJyfDw8MDjRo1QqtWrUp8r6ZNm2LRokXIzc2Fu7s7gIIbTwvjWrx4MRo2bIiqVasWe+2JEyfg5uaGp5566gm+g0T0MMwxzDFEFY15hnmGbIfIbDabhQ7Cns2YMQOBgYGIioqy2r/5xhtvoGfPnpYkVlqFq+SMGTOmgiIjovLGHENEFY15hqjsnHaaX1mdOnUKycnJyM/Px4ULF3Ds2DGEhYVZNYbBgwdjxYoV0Gq1pX5N4XD5iy++WIGREdGTYo4hoorGPENUfjgy9Zh+/vlnbNu2DXq9HkqlEi+99BI6duxo9Ti++uorGI1GvP/++4+8UTMjIwMTJ07ESy+9hPDwcCtFSERlwRxDRBWNeYao/LCYIiIiIiIiKgNO8yMiIiIiIioDFlNERERERERlwGKKiIiIiIioDFhMERERERERlQGLKSIiIiIiojJgMUVERERERFQG/wevIMLtRFe2BgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## Degree distribution (random normally distributed data)\n", "d = np.random.binomial(500, p = 30/500, size = 10000)\n", "\n", "plt.figure(figsize=(12,4))\n", "ax = plt.subplot(131)\n", "plot_cdf(d, cum = False, ax = ax, xlabel = \"Degree (d)\", ylabel = \"p(Degree)\", marker = \".\", scale = \"linear\")\n", "plt.title(\"PDF\")\n", "ax = plt.subplot(132)\n", "plot_cdf(d, cum = True, ax = ax, xlabel = \"Degree (d)\", ylabel = \"p(Degree < d)\", marker=\"-\", scale = \"linear\")\n", "plt.title(\"CDF\")\n", "ax = plt.subplot(133)\n", "plot_cdf(d, compl = True, ax = ax, xlabel = \"Degree (d)\", ylabel = \"p(Degree > d)\", marker=\"-\", scale = \"linear\")\n", "plt.title(\"CCDF\")\n" ] }, { "cell_type": "markdown", "id": "782ac2e0", "metadata": {}, "source": [ "## 3.7 Degree distribution in the wiki network" ] }, { "cell_type": "code", "execution_count": 51, "id": "02989329", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## Degree distribution (wiki network)\n", "# Try the code using scale = \"linear\"\n", "G_wiki = nx.read_edgelist(\"../Data/wiki-Vote.txt\", create_using=nx.DiGraph())\n", "d = [v for k,v in G_wiki.degree()]\n", "plt.figure(figsize=(12,4))\n", "ax = plt.subplot(131)\n", "plot_cdf(d, cum = False, ax = ax, xlabel = \"Degree (d)\", ylabel = \"p(Degree)\", marker = \".\", scale=\"log\")\n", "plt.plot([7E1, 5E2],[2.5E-3,1E-4],\"--\")\n", "plt.title(\"PDF\")\n", "ax = plt.subplot(132)\n", "plot_cdf(d, cum = True, ax = ax, xlabel = \"Degree (d)\", ylabel = \"p(Degree < d)\", marker=\"-\", scale=\"log\")\n", "plt.title(\"CDF\")\n", "ax = plt.subplot(133)\n", "plot_cdf(d, compl = True, ax = ax, xlabel = \"Degree (d)\", ylabel = \"p(Degree > d)\", marker=\".-\", scale=\"log\")\n", "plt.title(\"CCDF\")\n", "plt.xlim(2E2,1E3)\n", "plt.plot([2E2, 1E3], [2.5E-2,2.5E-4],\"--\")\n" ] }, { "cell_type": "markdown", "id": "429bea65", "metadata": {}, "source": [ "# Exercise 4 (similar to QAP)\n", "Is the network homophilic? (are people linked to people like them?)\n", "\n", "Solution: Shuffle the node labels 1000 times" ] }, { "cell_type": "markdown", "id": "c4c334d2", "metadata": {}, "source": [ "## 4.1 What is the assortativity coefficient ith respect to the classes of this network?" ] }, { "cell_type": "code", "execution_count": 52, "id": "24e6abfa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.25333333333333335" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create random labels\n", "ns = ['Acciaiuoli', 'Medici', 'Castellani', 'Peruzzi', 'Strozzi', 'Barbadori', 'Ridolfi', 'Tornabuoni', 'Albizzi', 'Salviati', 'Pazzi', 'Bischeri', 'Guadagni', 'Ginori', 'Lamberteschi']\n", "classes = [\"m\", \"m\", \"o\", \"o\", \"o\", \"o\", \"o\", \"m\", \"m\", \"m\", \"o\", \"o\", \"o\", \"o\", \"o\"]\n", "nx.set_node_attributes(G, dict(zip(ns,classes)), \"classes\")\n", "\n", "# Plot\n", "nx.draw(G, pos = nx.spring_layout(G, seed = 1), with_labels = True, edge_color = \"gray\", \n", " node_color = [palette[0] if c == \"m\" else palette[1] for c in classes])\n", " \n", "\n", "# calculate assortativity coefficient\n", "..." ] }, { "cell_type": "markdown", "id": "83193f15", "metadata": {}, "source": [ "## 4.2 Permute the node classes 10000 times to calculate the distribution undert he null hlypothesis\n", "\n", "What is the p-value?" ] }, { "cell_type": "code", "execution_count": 53, "id": "daf87a30", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.06269999999999998" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Permutenode labels\n", "G2 = G.copy()\n", "\n", "# Randomize classes and calculate assortativity\n", "iters = 10000\n", "values = []\n", "for i in range(iters):\n", " # shuffle the classes\n", " nx.set_node_attributes(G2, dict(zip(ns,np.random.permutation(classes))), \"classes\")\n", " # calculate assortativity and keep in a list\n", " values.append(nx.assortativity.attribute_assortativity_coefficient(G2, \"classes\"))\n", "values = np.array(values)\n", "\n", "# Plot results\n", "sns.histplot(values, binwidth=0.05)\n", "plt.plot([assort,assort],[0,iters/10], \"--\", color=\"gray\")\n", "\n", "# p-value (probability that we would observe a value equal or more extreme to the one observed given \n", "# that the null hyphotesis is true---i.e. the graph is the real graph and the links \n", "# are not correlated with the classes\n", "p_value = ...\n" ] }, { "cell_type": "markdown", "id": "c6dc4846", "metadata": {}, "source": [ "# Exercise 5\n", "\n", "Use igraph to read the network and calculate assortativity" ] }, { "cell_type": "code", "execution_count": 54, "id": "0ff5ffb1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7115\n", "103689\n", "124 µs ± 9.67 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n", "121 ms ± 13.9 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" ] } ], "source": [ "G_wiki = nx.read_edgelist(\"../Data/wiki-Vote.txt\", create_using=nx.DiGraph())\n", "# Read directed graph\n", "print(len(G_wiki.nodes()))\n", "print(len(G_wiki.edges()))\n", "\n", "# Convert to igraph\n", "h = ig.Graph.from_networkx(G_wiki)\n", "\n", "# Look at how much faster it is (700 times slower in my computer)\n", "%timeit h.assortativity_degree()\n", "%timeit nx.assortativity.degree_assortativity_coefficient(G_wiki)" ] }, { "cell_type": "markdown", "id": "98b5105e", "metadata": {}, "source": [ "## 5.1 Compare with random model (ER)\n", "\n", "Repeat with a larger network (don't try the interactive)" ] }, { "cell_type": "code", "execution_count": 16, "id": "44821cd1", "metadata": {}, "outputs": [], "source": [ "# networkx\n", "def conf_dens_nx(n, m):\n", " \"\"\"Create random graph and calculate assortativity in networkx\"\"\"\n", " G_r = nx.random_graphs.gnm_random_graph(n,m)\n", " return nx.assortativity.degree_assortativity_coefficient(G_r)\n", "def conf_dens_ig(n,m):\n", " \"\"\"Create random graph and calculate assortativity in igraph\"\"\"\n", " h_r = ig.Graph.Erdos_Renyi(n=n,m=m)\n", " return h_r.assortativity_degree()" ] }, { "cell_type": "code", "execution_count": 17, "id": "55bb3feb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.00557725 0.00065094]\n" ] }, { "data": { "text/plain": [ "-0.08324455771686787" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Doing it in igraph 10 times\n", "n, m = len(G_wiki), len(G_wiki.edges())\n", "print(np.percentile([conf_dens_nx(n, m) for i in range(10)], [5,95]))\n", "\n", "nx.assortativity.degree_assortativity_coefficient(G_wiki)" ] }, { "cell_type": "code", "execution_count": 18, "id": "6c911d3d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.00568702 0.00292317]\n" ] }, { "data": { "text/plain": [ "-0.0832445577168681" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Doing it in igraph 100 times\n", "n, m = h.vcount(), h.ecount()\n", "print(np.percentile([conf_dens_ig(n,m) for i in range(100)], [5,95]))\n", "\n", "h.assortativity_degree()" ] }, { "cell_type": "code", "execution_count": null, "id": "a0f82c7f", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 5 }