{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# A brief tutorial of NetworkX\n", "\n", "Made for the network science course @ DCC/FCUP (2024/2025 edition)\n", "\n", "## Main Links\n", "\n", "- [NetworkX website](https://networkx.org/) | [Install](https://networkx.org/documentation/stable/install.html) | [Reference](https://networkx.org/documentation/stable/reference/index.html) | [Tutorial](https://networkx.org/documentation/stable/tutorial.html) | [Gallery](https://networkx.org/documentation/stable/auto_examples/index.html)\n", "\n", "## Importing the library into Python\n", "\n", "After starting Python, import the networkx module:" ] }, { "cell_type": "code", "execution_count": 517, "metadata": {}, "outputs": [], "source": [ "import networkx as nx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating a graph\n", "\n", "### Network types\n", "\n", "NetworkX provides 4 basic graph types (all of them allow for _self-loops_):\n", "- `Graph`: **undirected** with **no** parallel edges\n", "- `DiGraph`: **directed** with **no** parallel edges\n", "- `MultiGraph`: **undirected multigraph** (with parallel edges)\n", "- `MultiDiGraph`: **directed multigraph** (with parallel edges)" ] }, { "cell_type": "code", "execution_count": 518, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph with 0 nodes and 0 edges\n", "DiGraph with 0 nodes and 0 edges\n", "MultiGraph with 0 nodes and 0 edges\n", "MultiDiGraph with 0 nodes and 0 edges\n" ] } ], "source": [ "# Creating a graph of each of the basic 4 types\n", "G1 = nx.Graph();\n", "G2 = nx.DiGraph();\n", "G3 = nx.MultiGraph();\n", "G4 = nx.MultiDiGraph();\n", "\n", "# Showing what it prints\n", "print(G1, G2, G3, G4, sep='\\n');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creation approaches\n", "\n", "There are essentially 3 ways to create a graph:\n", "\n", "1. Adding edges and nodes **explicitly**\n", "2. Graph [**generators**](https://networkx.org/documentation/stable/reference/generators.html) (standard algorithms to create network topologies)\n", "3. **Importing** data from pre-existing (usually file) sources (see [reading and writing graphs](https://networkx.org/documentation/stable/reference/readwrite/index.html))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adding edges and nodes explicitly\n", "\n", "Here is our first example of an undirected graph:" ] }, { "cell_type": "code", "execution_count": 519, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 2, 3, 'four', 5, 6]\n", "[(1, 2), (1, 'four'), (1, 3), (2, 3), (2, 5), (2, 6), (3, 'four')]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create an empty undirected graph\n", "G = nx.Graph()\n", "\n", "# Create some nodes\n", "G.add_node(1) # create a single node\n", "G.add_nodes_from([2,3]) # create nodes from a list\n", "G.add_node(\"four\") # node labels can be of different types (anything hashable)\n", "\n", "# Create some edges\n", "G.add_edge(1,2)\n", "G.add_edges_from([(2,3),(3,\"four\"), (\"four\", 1), (1,3)])\n", "G.add_edges_from([(2,5),(2,6)]) # if a node does not exist, it is created\n", "\n", "# Show nodes and edges\n", "print(G.nodes)\n", "print(G.edges)\n", "\n", "# Draw the graph (more on this later)\n", "nx.draw(G, with_labels = True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here an example directed graph (a *feedforward loop*):" ] }, { "cell_type": "code", "execution_count": 520, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# And now directed graph\n", "G = nx.DiGraph()\n", "G.add_edges_from([(42,21), (42,0), (21,0)])\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Attributes\n", "\n", "Nodes and edges can have arbitrary attributes (graphs are essentially a [\"dictionary of dictionaries\"](https://networkx.org/documentation/stable/reference/introduction.html))" ] }, { "cell_type": "code", "execution_count": 521, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(1, {'name': 'Pedro', 'number': 42, 'color': 'orange'}), (2, {'color': 'red'}), (3, {'color': 'green'})]\n", "[(1, {'name': 'Peter', 'number': 42, 'color': 'blue'}), (2, {'color': 'red'}), (3, {'color': 'green'})]\n", "node 1 {'name': 'Peter', 'number': 42, 'color': 'blue'}\n", "node 2 {'color': 'red'}\n", "node 3 {'color': 'green'}\n", "colors: [(1, 'blue'), (2, 'red'), (3, 'green')]\n", "colors: {1: 'blue', 2: 'red', 3: 'green'}\n", "[(1, 2, {'weight': 1.5}), (1, 3, {'weight': 1.2}), (2, 3, {'weight': 3.1})]\n", "weights: {(1, 2): 1.5, (1, 3): 1.2, (2, 3): 3.1}\n" ] } ], "source": [ "G = nx.Graph() # a new empty undirected graph\n", "\n", "# Example of node attributes\n", "G.add_node(1, name=\"Pedro\", number=42, color=\"orange\") # add a node with three attributes\n", "G.add_nodes_from([(2, {\"color\": \"red\"}), (3, {\"color\": \"green\"})]) # attributes can be added as dictionaries\n", "print(G.nodes.data()) # nodes and their attributes\n", "\n", "# Changing node attributes\n", "G.add_node(1, color=\"blue\") # adding again will change the attribute\n", "G.nodes[1][\"name\"] = \"Peter\" # we can also use as any dictionary\n", "print(G.nodes.data())\n", "\n", "# Traversing nodes using node dictionary keys\n", "for v in G.nodes: print(\"node\", v, G.nodes[v]) # get individuallly all nodes and their attributes\n", "\n", "# We can get just one specific node attribute\n", "print(\"colors:\", G.nodes.data(\"color\")) # a list of tuples with all node values for \"color\"\n", "print(\"colors: \", nx.get_node_attributes(G, \"color\")) # a dictionary of all node values for \"color\"\n", "\n", "# Example of edge attributes\n", "G.add_edge(1, 2, weight=1.5) # add an edge with one attribute\n", "G.add_weighted_edges_from([(2, 3, 3.1), (1, 3, 1.2)]) # some attributes have specialized functions\n", "print(G.edges.data()) # get all data from edges\n", "print(\"weights:\", nx.get_edge_attributes(G, \"weight\")) # a dictionary of all edge values for \"weight\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graph generators\n", "\n", "Graph [generators](https://networkx.org/documentation/stable/reference/generators.html) are standard algorithms to create specific network topologies" ] }, { "cell_type": "code", "execution_count": 522, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# a clique of size 5\n", "G = nx.complete_graph(5)\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "code", "execution_count": 523, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# a barbelll graph of two cliques of size 4 connected by a path of size 3\n", "G = nx.barbell_graph(4, 3)\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "code", "execution_count": 524, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# You know this network, right? :)\n", "G = nx.karate_club_graph()\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "code", "execution_count": 525, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Returns a random Erdős-Rényi graph with 10 nodes and 0.3 probability of coonnection\n", "G = nx.erdos_renyi_graph(10, 0.3)\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "code", "execution_count": 526, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Returns a random Watts–Strogatz graph with 10 nodes each with 4 neighbors and 0.0 rewiring probability\n", "G = nx.watts_strogatz_graph(15, 4, 0.0)\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "code", "execution_count": 527, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Returns a random Barabasi-Albert graph with n=20 nodes and each new node connects to m=1 nodes\n", "G = nx.barabasi_albert_graph(20,1)\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reading and Writing Graphs\n", "\n", "NetworkX provides for [reading and writing](https://networkx.org/documentation/stable/reference/readwrite/index.html) in multiple formats:" ] }, { "cell_type": "code", "execution_count": 528, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# You can get this file at https://github.com/gephi/gephi/wiki/Datasets\n", "G = nx.read_gml(\"lesmiserables.gml\")\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "code", "execution_count": 529, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# You can get this file at https://doi.org/10.7910/DVN/T4HBA3/BIOFH6\n", "G = nx.read_gexf(\"matrix.gexf\") # Co-appeareance network of \"The Matrix\" movie\n", "nx.draw(G, with_labels=True, font_size=10, width=1, edge_color=\"gray\",\n", " labels=nx.get_node_attributes(G, \"label\"))" ] }, { "cell_type": "code", "execution_count": 530, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph with 6 nodes and 6 edges\n", "['0', '1', '2', '3', '4', '5']\n", "[('0', '1'), ('0', '5'), ('1', '2'), ('2', '3'), ('3', '4'), ('4', '5')]\n" ] } ], "source": [ "# Writing a graph in GML\n", "G = nx.cycle_graph(6)\n", "nx.write_gml(G, \"cycle.gml\")\n", "\n", "# Reading and printing the graph to check\n", "H = nx.read_gml(\"cycle.gml\")\n", "print(H, H.nodes, H.edges, sep=\"\\n\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reporting graph data\n", "\n", "Graphs have four _\"views\"_ that report information:\n", "- nodes\n", "- edges\n", "- adjacency list\n", "- degree" ] }, { "cell_type": "code", "execution_count": 531, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph with 4 nodes and 6 edges\n", "\n", "nodes: [0, 1, 2, 3]\n", "\n", "edges: [(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)]\n", "\n", "adj: {0: {1: {}, 2: {}, 3: {}}, 1: {0: {}, 2: {}, 3: {}}, 2: {0: {}, 1: {}, 3: {}}, 3: {0: {}, 1: {}, 2: {}}}\n", "\n", "degree: [(0, 3), (1, 3), (2, 3), (3, 3)]\n", "\n" ] } ], "source": [ "G = nx.complete_graph(4)\n", "\n", "print(G)\n", "print(type(G))\n", "print(\"nodes:\", G.nodes)\n", "print(type(G.nodes))\n", "print(\"edges:\", G.edges)\n", "print(type(G.edges))\n", "print(\"adj:\", G.adj)\n", "print(type(G.adj))\n", "print(\"degree:\", G.degree)\n", "print(type(G.degree))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use this to acess specific parts of the graph" ] }, { "cell_type": "code", "execution_count": 532, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Properties of node 0:\n", " - neighbors: [1, 4]\n", " - degree: 2\n", "Edges of nodes 1 and 2: [(1, 0), (1, 2), (2, 3)]\n", "Degrees nodes 1 and 2: [(1, 2), (2, 2)]\n", "Neighbors of node 1 {0: {}, 2: {}}\n" ] } ], "source": [ "G = nx.cycle_graph(5)\n", "\n", "print(\"Properties of node 0:\")\n", "print(\" - neighbors:\", list(G.adj[0]));\n", "print(\" - degree:\", G.degree[0]);\n", "\n", "print(\"Edges of nodes 1 and 2:\", G.edges([1,2]))\n", "print(\"Degrees nodes 1 and 2:\", G.degree([1,2]))\n", "\n", "print(\"Neighbors of node 1\", G[1]) # same as G.adj[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graph Operations\n", "\n", "We can use [graph operations](https://networkx.org/documentation/stable/tutorial.html#graph-generators-and-graph-operations) to obtain new graphs:" ] }, { "cell_type": "code", "execution_count": 533, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "G1: [(0, 1), (0, 3), (1, 2), (2, 3)]\n", "G2: [(0, 2), (1, 3)]\n", "G3: [(1, 2), (2, 3)]\n" ] } ], "source": [ "G1 = nx.cycle_graph(4)\n", "G2 = nx.complement(G1)\n", "G3 = nx.subgraph(G1, [1,2,3])\n", "\n", "print(\"G1:\", G1.edges)\n", "print(\"G2:\", G2.edges)\n", "print(\"G3:\", G3.edges)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Graph Analysis\n", "\n", "There are many algorithms you can choose to analyse a graph (see [Algorithms](https://networkx.org/documentation/stable/reference/algorithms/index.html) and also [Functions](https://networkx.org/documentation/stable/reference/functions.html)). \\\n", "We now show a selected short list of existing algorithms (mainly covering some of the topics discussed on the course).\n", "\n", "### Example degree metrics" ] }, { "cell_type": "code", "execution_count": 534, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Degrees: [2, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1]\n", "Degree Histogram: [0, 8, 1, 6]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.balanced_tree(2, 3)\n", "nx.draw(G, with_labels=True)\n", "\n", "print(\"Degrees:\", [d for _,d in G.degree])\n", "print(\"Degree Histogram:\", nx.degree_histogram(G))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example distance and shortest path metrics" ] }, { "cell_type": "code", "execution_count": 535, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Diameter: 4\n", "Average Shortest Path: 2.769230769230769\n", "Eccentricity: {0: 2, 1: 3, 2: 3, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4, 8: 4, 9: 4, 10: 4, 11: 4, 12: 4}\n", "Center: [0]\n", "Periphery: [4, 5, 6, 7, 8, 9, 10, 11, 12]\n", "\n", "Shortest path between 9 and 12: [9, 2, 0, 3, 12]\n", "Its length: 4\n", "Has path? True\n", "\n", "SSSP from node 10: ({10: 0, 3: 1, 0: 2, 11: 2, 12: 2, 1: 3, 2: 3, 4: 4, 5: 4, 6: 4, 7: 4, 8: 4, 9: 4}, {10: [10], 3: [10, 3], 0: [10, 3, 0], 11: [10, 3, 11], 12: [10, 3, 12], 1: [10, 3, 0, 1], 2: [10, 3, 0, 2], 4: [10, 3, 0, 1, 4], 5: [10, 3, 0, 1, 5], 6: [10, 3, 0, 1, 6], 7: [10, 3, 0, 2, 7], 8: [10, 3, 0, 2, 8], 9: [10, 3, 0, 2, 9]})\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.balanced_tree(3, 2)\n", "nx.draw(G, with_labels=True)\n", "\n", "print(\"Diameter:\", nx.diameter(G))\n", "print(\"Average Shortest Path:\", nx.average_shortest_path_length(G))\n", "print(\"Eccentricity:\", nx.eccentricity(G))\n", "print(\"Center:\", nx.center(G))\n", "print(\"Periphery:\", nx.periphery(G))\n", "\n", "print()\n", "\n", "print(\"Shortest path between 9 and 12:\", nx.shortest_path(G, 9, 12))\n", "print(\"Its length:\", nx.shortest_path_length(G, 9, 12))\n", "print(\"Has path?\", nx.has_path(G, 9, 12))\n", "\n", "print()\n", "\n", "print(\"SSSP from node 10:\", nx.single_source_dijkstra(G,10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example connectivity metrics" ] }, { "cell_type": "code", "execution_count": 536, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original Graph\n", "Nr Components: 1\n", "Components [{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}]\n", "\n", "After removing nodes 3 and 6\n", "Nr Components: 3\n", "Components: [{0, 1, 2}, {4, 5}, {8, 9, 7}]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.barbell_graph(3,4)\n", "nx.draw(G, with_labels=True)\n", "\n", "print(\"Original Graph\")\n", "print(\"Nr Components:\", nx.number_connected_components(G))\n", "print(\"Components\", list(nx.connected_components(G)))\n", "\n", "print()\n", "\n", "G.remove_nodes_from([3,6])\n", "print(\"After removing nodes 3 and 6\")\n", "print(\"Nr Components:\", nx.number_connected_components(G))\n", "print(\"Components:\", list(nx.connected_components(G)))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example centralities and clustering" ] }, { "cell_type": "code", "execution_count": 537, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Clustering coefficient: {'3372518': 1.0, '3368683': 0.4, '3368424': 0.42857142857142855, '3368801': 1.0, '3369601': 0.9642857142857143, '3371227': 0.9642857142857143, '3368585': 1.0, '3372710': 1.0, '3368276': 0.6515151515151515, '3370502': 0.9047619047619048, '3368815': 1.0, '3369674': 1.0, '3368427': 0, '3368259': 1.0, '3371823': 0, '3368515': 0.3235294117647059, '3371166': 0.9642857142857143, '3368749': 0.2134387351778656, '3374399': 1.0, '3372009': 0, '3373932': 1.0, '3371904': 0.6666666666666666, '3371868': 0, '3369067': 0, '3374068': 0, '3371940': 1.0, '3371343': 1.0, '3369113': 1.0, '3370993': 0.8611111111111112, '3368301': 0.3464052287581699, '3368269': 1.0}\n", "Closeness centrality: {'3372518': 0.375, '3368683': 0.5263157894736842, '3368424': 0.5555555555555556, '3368801': 0.45454545454545453, '3369601': 0.5357142857142857, '3371227': 0.5357142857142857, '3368585': 0.45454545454545453, '3372710': 0.45454545454545453, '3368276': 0.6, '3370502': 0.5263157894736842, '3368815': 0.45454545454545453, '3369674': 0.4918032786885246, '3368427': 0.3614457831325301, '3368259': 0.5172413793103449, '3371823': 0.4225352112676056, '3368515': 0.6818181818181818, '3371166': 0.5357142857142857, '3368749': 0.7894736842105263, '3374399': 0.46875, '3372009': 0.44776119402985076, '3373932': 0.4918032786885246, '3371904': 0.4918032786885246, '3371868': 0.3, '3369067': 0.44776119402985076, '3374068': 0.3488372093023256, '3371940': 0.45454545454545453, '3371343': 0.5084745762711864, '3369113': 0.4838709677419355, '3370993': 0.5454545454545454, '3368301': 0.6976744186046512, '3368269': 0.5172413793103449}\n", "Betweenness centrality: {'3372518': 0.0, '3368683': 0.08996168582375477, '3368424': 0.11080459770114946, '3368801': 0.0, '3369601': 0.0009852216748768472, '3371227': 0.0009852216748768472, '3368585': 0.0, '3372710': 0.0, '3368276': 0.021559934318555008, '3370502': 0.0009195402298850575, '3368815': 0.0, '3369674': 0.0, '3368427': 0.0, '3368259': 0.0, '3371823': 0.06666666666666667, '3368515': 0.234176245210728, '3371166': 0.0009852216748768472, '3368749': 0.4551231527093595, '3374399': 0.0, '3372009': 0.0, '3373932': 0.0, '3371904': 0.004980842911877394, '3371868': 0.0, '3369067': 0.0, '3374068': 0.0, '3371940': 0.0, '3371343': 0.0, '3369113': 0.0, '3370993': 0.0029392446633825942, '3368301': 0.16393541324575805, '3368269': 0.0}\n", "PageRank: {'3372518': 0.020328889546499553, '3368683': 0.03878678964170653, '3368424': 0.049403905682109034, '3368801': 0.016796708551484324, '3369601': 0.033752045546087746, '3371227': 0.0314229459041882, '3368585': 0.013125955906409458, '3372710': 0.013125955906409458, '3368276': 0.05792041332486743, '3370502': 0.023137818300922236, '3368815': 0.016796708551484324, '3369674': 0.014051234529587805, '3368427': 0.0076383360095689246, '3368259': 0.025855729951174723, '3371823': 0.01771925246431629, '3368515': 0.1000955590494523, '3371166': 0.03346539863557677, '3368749': 0.14923710176401914, '3374399': 0.009482964974704869, '3372009': 0.007278143513020814, '3373932': 0.01277994070963189, '3371904': 0.016680736145136463, '3371868': 0.012368960596351009, '3369067': 0.007278143513020814, '3374068': 0.008135685412346374, '3371940': 0.010822781284203272, '3371343': 0.02458706257244466, '3369113': 0.009641591606219694, '3370993': 0.07542800732730655, '3368301': 0.11932140266496855, '3368269': 0.02353383041478075}\n", "\n", "Top 5 for:\n", "Clustering: [('AGENT BROWN', 1.0), ('ANTHONY', 1.0), ('COP', 1.0), ('COPS', 1.0), ('DUJOUR', 1.0)]\n", "Closeness: [('NEO', 0.789), ('TRINITY', 0.698), ('MORPHEUS', 0.682), ('CYPHER', 0.6), ('AGENT SMITH', 0.556)]\n", "Betweenness: [('NEO', 0.149), ('TRINITY', 0.119), ('MORPHEUS', 0.1), ('TANK', 0.075), ('CYPHER', 0.058)]\n", "PageRank: [('NEO', 0.455), ('MORPHEUS', 0.234), ('TRINITY', 0.164), ('AGENT SMITH', 0.111), ('AGENT JONES', 0.09)]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G=nx.read_gexf(\"matrix.gexf\")\n", "nx.draw(G, with_labels=True, font_size=10, width=1, edge_color=\"gray\",\n", " labels=nx.get_node_attributes(G, \"label\"))\n", "\n", "print(\"Clustering coefficient:\", nx.clustering(G))\n", "print(\"Closeness centrality:\", nx.closeness_centrality(G))\n", "print(\"Betweenness centrality:\", nx.betweenness_centrality(G))\n", "print(\"PageRank:\", nx.pagerank(G))\n", "\n", "print()\n", "\n", "k = 5\n", "decimal = 3\n", "print(\"Top\", k, \"for:\")\n", "lst = [(G.nodes[k][\"label\"],round(v,decimal)) for (k,v) in sorted(nx.clustering(G).items(), key=lambda x : x[1], reverse=True)]\n", "print(\"Clustering: \", lst[:k])\n", "\n", "lst = [(G.nodes[k][\"label\"],round(v,decimal)) for (k,v) in sorted(nx.closeness_centrality(G).items(), key=lambda x : x[1], reverse=True)]\n", "print(\"Closeness: \", lst[:k])\n", "\n", "lst = [(G.nodes[k][\"label\"],round(v,decimal)) for (k,v) in sorted(nx.pagerank(G).items(), key=lambda x : x[1], reverse=True)]\n", "print(\"Betweenness:\",lst[:k])\n", "\n", "lst = [(G.nodes[k][\"label\"],round(v,decimal)) for (k,v) in sorted(nx.betweenness_centrality(G).items(), key=lambda x : x[1], reverse=True)]\n", "print(\"PageRank: \", lst[:k])\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example community detection" ] }, { "cell_type": "code", "execution_count": 538, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[{0, 1, 2, 3, 7, 11, 12, 13, 17, 19, 21}, {16, 4, 5, 6, 10}, {24, 25, 28, 31}, {32, 33, 8, 9, 14, 15, 18, 20, 22, 23, 26, 27, 29, 30}]\n", "Modularity: 0.4438541256723075\n", "\n", "({0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21}, {2, 8, 9, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33})\n" ] } ], "source": [ "G = nx.karate_club_graph()\n", "\n", "coms = nx.community.louvain_communities(G)\n", "print(coms)\n", "print(\"Modularity:\", nx.community.modularity(G, coms))\n", "\n", "print()\n", "\n", "coms = nx.community.girvan_newman(G)\n", "print(list(coms)[0]) # Communities after first division\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Drawing graphs\n", "\n", "### Introduction\n", "\n", "NetworkX provides [basic functionality for visualizing graphs](https://networkx.org/documentation/stable/reference/drawing.html), but its main goal is to enable graph analysis rather than perform graph visualization.\n", "\n", "Citing NetworkX documentation: *\"Proper graph visualization is hard, and we highly recommend that people visualize their graphs with tools dedicated to that task. Notable examples of dedicated and fully-featured graph visualization tools are Cytoscape, Gephi, Graphviz and, for LaTeX typesetting, PGF/TikZ. To use these and other such tools, you should export your NetworkX graph into a format that can be read by those tools.\"*\n", "\n", "The `draw` command we have been using uses [matplotlib](https://matplotlib.org/):" ] }, { "cell_type": "code", "execution_count": 539, "metadata": {}, "outputs": [ { "data": { "image/png": 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i/lwZaleGVKb2QjQUoDNZOJ2YUwFXIiEhIeGaGmf4SnJfzt14hgvv3++wTdHEC4tRR+aWJeSf3oVoMaEKaUD4mDm8u+70TU++yNaZHF7nHd/iMqGkrAhYXZDI5PZloiiSvm4e5jwtoQ+8iSC33h7KkHrkHdtsX89i0GHKTEIVUrfobp1wZahLMqTZOuONXJqEhIREsdQow1da92Xd/1tlX+YqQzLj7/mIFjORjy9CpvHGkHLp2vbmm5584au5/i/SxZ/CnJvulFACIJqM2JRYRIsJ0WQAudIpDqhRyBCBPk1DUJkKWHMiDeFasXrG+gUY0+MIe+gdZMrrMTbPJt3I3LqEvNO78YzpTNbuH1CG1kcZFF3i+bsy1CUZUl+NssT9SkhISJSXGmP4ytsxoGiGpDE9jvxz+4ma+q09cUMdHgNY3Z5bz6Te1OSLZuG+qBVJ6E0W8o5vxrNJd6eEEoCrX0zGnJ0CQMrK1wGo88TXKPzDkAnQMNiL1nX8aRbhw4gO1mzVtFw9a89uxCxaXZK5R/4GuZL4z8ba9xs4aCreLfsQcu8rVt3NP+eiimhCyLAXAGsnd4VMhkzAoZM7uDfUxRlSjUJGs4jSt1eSkJCQKCs1ojvD0ThtsR0DDGlXSP/zI0yZiQCowmMIGDAZVXBde+KFLZU/99hmsv/5BU29duSd2IrcOwC/HqPxatYDsM6YZgxoctOSL9Jy9fSYs8WlSkupsZj4tK8P9wzs6/TWpGUH2HAiEYSyi/gIAgxsEca7w1uz6lA8By6msvFMGlZHKqT/PR/RqCd46P85bXu9ji8FVYS1jk/hH4ZaIWPPi32lrE4JCYlKo0bM+BZsO19sxwCFdyAhw19G7hcKooWcQ2tJW/M+oSNed0q8MOekY0y9jGeT7kQ99S36q6dJ+XkWquC6KIOjb3ryRbC3mjuahNhbDpUVQYDmfmaee2oyH9epw6xZs7jjjjvs70/tHcOW0ymYytFBXaOQM6V3DHJTAcnbvue3zz6j3ph3SdfUQQSCBj3ldluP+u2oM2mx07n2aRoiGT0JCYlKpdprdbqqcyvqvpRpvFH4h9njXYIgw5SZ6DLxQlCoQKbAr8dDCHIlmrqt0dRtTcGlQ/Z1bnbyxdTeMWgU8pJXdIFGIWf2I305deoUEyZMYOLEifTt25cdO3YAcOyqFltssCwo5QIz+tTjtyXzaNy4MZcuXWLv3r18/eyDaJTlP9cpvWPKta2EhIREaan2M75VB+Mp6q11V+B95eORiIYCEEX8ej3sOvEitL7zQYrs52YnX7SN9mfm4GZljmF6KGXMHNzMnoX6yCOPMHr0aJYvX8748eMJb9mF1DYPk/HvH+Qd24whNRav5ncQfLe103ruia1k/L3g+g5FEdGkJ3zcJwjhDXltyiPc1aUle/fuJSbmusGqiHOVkJCQqCyqteE7Gqfl272xDu1yiivwrjtjJRaDjrzjm7EY9C4TLzTRrVD4hpC19yf8uj2IPuEMuivH7B0GblXyha1+sLisVRuCYJ09uSq6VygUjBs3jocffpihc37nao4FhXcQft1HUnDpEKLRYF/Xu2UfvFv2sb/O/W8TWXt+RBXWCFEUGfDMh3zzxB0UpaLOVUJCQqIyqLaGz1a6YBNutlFSgbdMpcG7/V1c+fB+PGNuc8qQFOQKQu5/lfS/5pG9bxUK31CCh8ywp+6LwIgOUZVyTSUxpmt92kT5s3DbebaeSUXAMZOycKnClN4xxc6esvQWLuk9QWbBs2l3APRJ5zEb09xuk3u88Exa4N+r+W4zXCvyXCUkJCQqkmpp+IorXShVgbcoIggCft0edPm2KqQeEY/MdVpeFZIv2kT5s3hMJ9Jz9aw6FM/pxByydUZ8NUqHUoWSKCqFVhLWmfQJggY/Y18mQLHyYhV1rhISEhIVSbUzfEfjtDxye3OHZbbSBc8Wd2DKSSP9r3lkbPrC/r5n0+74droHZWh9RKMe7Y5lyDTeKINLLsAuTFVKvgjyVt9QSUVRKbSSyD2+2WkmXdoM1xs9VwkJCYmKpNoZvuJKF/KOb8ajQQcKzu0jesZKhGtyXHmnd5H6+weYc6wqJerIJoQ+OMuuWFIaalryRVEptJLIO77F5QxZkheTkJCoblQrw1dS6YKmbitM2mSuntvnsJ1Xs572FjhFEa+5Pd0hABajngea+9So5IvCUmgloYs/iTk3A8+mPVzsR5IXk5CQqF5UK8PnKi7lrnTh6sLxIAho6rcnoM94p24ANmSCgGgxWfXI5Ncf4oWTLzp7ZTLzybGM77WXBg0auNxPdaOwFJpoMYPtR7RYdT5l8usz5mOupdIkeTEJCYnqSLUyfEXjUq5KF2SevoQ/+jGqsIZYCrLJ2LCItD8+JGzk2077s7ovmzOwZRivfPkHf+87QGidenRu14r2DUIdki/y4l7hnnvuYc+ePXh7ewNVv3N7cYzoGMXHm84CkLX7R7J2/2B/L+/EVvx6jMK/18OIJgN5p3cRcu/LTvu4lRmuEhISEuWlWml1Tvj2X7acTrG/1u7+EV3sEcIfnu12G3NuJvHzxxI94yeHGYuH0rl2LDs7m7fffpulS5fy8ssv8/TTT6NSWeOAoijy2GOPkZWVxcyPvmDR9otuWh9ZZ4q3unN7aZi07MANSaENbBF2UztVSEhISFQE1UqyrGhcKu/4FrxbOQsvO2DzgBZ6uof7qFg5qatTzM7X15cPPviA3bt3s2nTJtq0acPff/9t3Y0gsHDhQs6JYYxYtIuNp5LRmyxOmZG6a8s2nEzmoS/3sXxfbHku9aZwo1JoVSXDVUJCQqIsVKsZ3+LtF/h401n0Jgu6+FMkL38eFGp7fE80GfBs0g3/28eiCIzEosslY/0i9IlnMWclE/rQO3jUa0vBf39RL+1f+vfvT79+/ejRowcajcbhWKIosnbtWmbMmEHz5s356KOP2Jem4J21p5za7xSHzZ1aVRNjytPOqapfk4SEhERxVCvDV7hFT9GWN7ayBp/Ow8k7sRVLvhaZyhNVZFOMGfGI+nyC7n4Wj/rtuCMmiPGNdGzevJlNmzZx/PhxunTpYjeEHTp0QC63zoT0ej2ffPIJc5euwufe18g8uM6lriVA3qmdaHd9jzknHYVPMP53PIJnk254KOWsnNS1ypZClNTA14YkLyYhIVETqFaGD2DcN/+w7Uyq0/LcY5vJ2rWCyCe+csjwTF75Or6dhpK+fhFBg6fhUb+dU8+3rKwstm/fbjeEiYmJ9O7d224ImzRpwqNf7WbHhUzyz+4DQbDrWtoMnyknjauLHiP0/lfRNOxIwYUDpP02mzpPfo3C27/Kx8P+i9dK8mISEhK1gmqV1QlQL9C5+zi4LmvIO70LQa7Eo1FnYJF9eVGpLT8/P4YNG8awYcMASEhIYMuWLWzevJn//e9/oPZBMWI2CHK3upbmnHRkGi88GlmNm2dMZwSlGpM2EbmX/03v3F5WXMmLrf5jHcb8LF6ePkmSF5OQkKgxVKvkFoCsAmelEFtZg1frfvZlFn0+2u3fEth/ktP6JUltRUZGMmbMGJYuXcqVK1eYNHsJ8mKK3MHa1V0ZFE3+uf2IFjP5Z/ciKJQoQ6x1fzZjW9WxyYt9PLIdmn++IW/TIibf3kgyehISEjWGajfjcyW15aojg3bXCrxa9kXhH+ZyPyt//Z1vnuiDQqFAqVQ6/C76d3bLezGFtir2vASZHK9WfUn7/QNEkwFBriR4+EvIVNakmZvdub0i8PT0xGIpfdKLhISERHWg2hk+V1Jbrjoy6C4fxZyTTs7htQBY8rNJ+202vl1H4Nd1BPcNvYu3Fj6FyWTCZDJhNBqd/rb9nrMviyMpZqfjFqYg9gjarUsJG/0/VOGNMCSdJ3XV2ygenIUqrCFQ/XQtJcMnISFRE6l2hq+w1BaALv6Uy4ayYaPeBfN1Y5X47QwC+j2GR8OOaBQyWkcHEhgYWKpj1r9ymCMpCcWuY0i+iDq6JeqIxgCoI5qgimxKQewRu+GrbrqWkuGTkJCoiVS7GN+Ijo4SWXnHXetIyj18kXsH2H8QZMg03shUHmWW2rIaW+tHJVrMVi3LQrqWosWMOqIx+viTGJIvAmBIuoA+7gSq0PoAKLBQ17d8xeK3Ci8vL6pZ0q+EhIREiVS7GV+wt5o7moTYpbaCBj1Vqu2ipiwBytdMtrS6ln49R5H66/8w52uRe/ji1+0BPBp0AMAsirw1fjB7enVlwoQJ3HnnnfZawaqKp6enZPgkJCRqHNWujg+szWgf+nIfBcbi426uKG8xeUXoWs6+O4Yff/yRpUuXEh8fz6OPPsr48eNp3Lhx2Xd6E3j88cf55ptvMBqrV2xSQkJCojiqnasToG20PzMHN8NDWbbTv5FmshWha+nv788TTzzB/v37Wb9+PXq9np49e9KrVy+WLl1Kbm5uufZfWUgxPgkJiZpItTR8AGO61mfm4OZ4KOWUUGKHINi6MZRfX7KijW2rVq2YO3cucXFx/N///R+//vor0dHRTJgwgZ07d1YJF6Ot/ZKEhIRETaLaGj6wGr+Vk7oysEUYaoUMjcLxcjQKGWqFjIEtwlx2YyjP8Sra2KpUKoYPH87vv//OqVOnaN68OZMmTaJp06b873//4+rVqzd0zjeCNOOTkJCoiVTLGJ8rCkttZeuM+GqUNIvwqRSprcrWtRRFkf3797NkyRJWrVpF165dGT9+PMOGDUOtvnkKKp9++inTp0+vErNPCQkJiYqixhi+W8HNMLb5+fmsXr2apUuXcuzYMUaPHs348eNp165dhey/OL766isef/xxLBaLgwaqhISERHVGMnzViIsXL/LNN9/wzTffEBwczPjx4xk9ejRBQUGVcrwffviB0aNHYzabkcmqtVdcQkJCwo70NKtGNGzYkLfeeotLly4xZ84c9u7dS8OGDRk5ciR///03ZnPZyzuKw9PTKgogxfkkJCRqEtKMr5qTmZnJDz/8wNKlS0lMTLTXBsbExNzQftNy9cxeuZVv1mxi6L0P4Oepolm4Lw90lNoTSUhIVG8kw1eDOHbsGEuXLmX58uU0b96c8ePHM2LEiDKVJRyN07Jg23m2n03FYrFgLDTZsyXu9G4awpQ7Ymgb7V/h1yAhISFR2UiGrwZiMBj4888/Wbp0Kbt27eK+++5jwoQJdO/evdgkleX7Ynl33Wl0JnOxCjWCYC3Knzm42Q2XiEhISEjcbCTDV8NJSEhg2bJlLF26FFEUGT9+PI888giRkZEO61mN3ikKjKWP51mL88svClCbSMvVs+pgPKeTssnWmfDVKCTXsYTELUIyfLUEURTZu3cvS5cuZdWqVXTv3p0JEyYwdOhQTiXnu9U+NWZcJeHrp/Bq1oPgoc85vV9e7dPaQmHXMWBvpwWS61hC4lZRbQ2fNIIuP3l5eaxatYqlS5dy8uRJGo2bTZI8DFc3QvKPryGa9Cj8Ql0aPpsA9+IxnSr/xKsZkutYQqJqUu0MnzSCrlgOHD/Dg9+fxeKisiXv5Hbyz+5FGRSNSZvo0vABqBUy9rzYt8YPOMoy2JJcxxISVZdq1Y+vpBG0TTpsw8lkdpxNk0bQpeBAugKlQuEwgACw6PPR7vyesFHvkXt0fbH7EIBVh+KZfHujSjzTW0fxg60kPt501mGwdTROy7vrTlNgtJB3cjva3T9gzk5F7hVA0JDpmLJTyfh7wfUDiCKiSU/4uE94d51Amyh/yXUsIVGJVBvDV5YRtChCgdHMu+tOAUjGrxhOJ2U7GT0A7Y5leLe9E4VvcIn70JksnE7MqYzTu+WUZ7C141waOpOZgkuHydz2DSH3vIgqsgnm3AwANNGt8G7Zx76P3P82kbXnR1RhjdCZzCzcdl5yHUtIVCLVwvDZRtA5qYmkb1iI4eppUCjxatqDgP6TEGRyDMkXSV/3Kcb0eJRBUQQNfgbCGvLuutPSCNoN6enpXIxLdFpuSL6I7vJRIsZ/Wup9ZetqXrPa8gy23ll7EpPF+jpr1/f49RiFuk4zABQ+rgcRucc349WqL4IgIIqw9Uwq6bn6Gu86lpC4VVQLw7dg23l0JjPpGxYi9/Qn6ullWHR5JK98lZxDa/Fpfxcpq9/Gt9M9+HQYQs6Rv0hZ/TZ1Jn+BTkAaQQOJiYkcOnTI4SczM5PoB16F0JYO6+quHMOUlUz8wvEAiAYdiBYS055xawx9NcpKv4abSUnuSk10KyxGHZlblpB/eheixYQqpAHhY+YAIFrM6BPP4xHThauLH0c0G/Bs3BX/PhOQKa8bNFNWCvq4E9aB2jVquutYQuJWU+UNX1qunu1nUxFFMGUl49vxbgSFCrm3Co8GHTGmXUF35RhYzPh0vgdBEPDtNIzsf35Fd/k/PBp2vOERdHXKIBVFkcuXL3Po0CEOHz5sN3IGg4GOHTvSvn17HnroId5//30aNWrEFzsv8fGmsw7uTu92A/Fqfrv9dfY/v2DKSiZw4FSXx9QoZDSL8Kn0a7uZ2AZb7tyVABl/z0e0mIl8fBEyjTeGlEv298x5WrCYyD+zm7AxcxBkclJXv0PWnpUE3PGIfb3c45tRR7VA6R9uX2ZzHVen+05CojpR5Q3fqoPx9r99O91D3skdqOu2xqLLpeDiAfx7jcGYegVlaAMHVRJVSH2MqZfxaNix3CPosiY13GwsFgvnz593mslpNBo6dOhAhw4dePzxx+nQoQPR0dEuVVtGdIzi401nHZbJlBpQauyvBaXGOtjw9HN5HiIwokNUhV7braTwYMudu9KYHkf+uf1ETf0Wmdoq5q0Ov66PKlyb1fl0HIrCO9D6d+fhToYv7/gW/Lo96HQOu86n0mOO1Q1d1e47CYnqTpU3fIWTLzTRrcg98jdxHz0IogWvVv3waNKNrD0/2h8+NgS1JxZDAVC+5IuqlkFqMpk4deqUw0zuyJEjBAUF2Y3c//3f/9G+fXvCw8NL3uE1gr3V3NEkhI2nkt3Wmvn3etjt9gLWprs1aQZiG2wV567UJ5xF4ReKduf35J3Yitw7AL8eo/Fq1gMAucYbeZGYXtGBhy7+JObcDDyb9nA6h9Rcg8tzkzKXJSRunCpv+E4lZgMgihaSf3odn3aDCB/7IRZjAelrP0W7bSlyr0As+nyH7UR9PjKVh/11WZIvbnUGqV6v5/jx4w6zuOPHjxMVFWU3ckOHDqV9+/YEBgbe8PGm9o5h57k0l8otJWEx6tFc3IHZ3B65XH7D51IVsA22inNXypQajKmX8WzSnainvkV/9TQpP89CFVwXZXA0AN6t+5Nz8E88GnYEuYLsf3/DM6az/Th5xzbj2aS706CtNEiZyxIS5adKG77l+2I5n5ILgKUgB3N2Kj4d7kZQKJErlHi36Y92xzIC+j1G9r+/IoqifVRtSI3Fp+Pd9n0lx8dy6pQ3zZo1K1ao2ZbUkLxvDXnHNmNIjcWr+R0E3z3Dvk7O0fVk712FOS8TdVQLggY/Q4FPULkySPPy8jh69KjDTO7MmTPExMTYjdzDDz9M27Zt8fGpnDha22h/Zg5uVq6C6yl3NGT17Hn03/oHy5YtIyqq+rs8s3UmoHh3pXerviBT4NfjIQSZHE3d1mjqtqbg0iG74fPr8RDmgmyufjEZQaHEq1kv/LqPBEA0Gcg7vYuQe192Or6rZBqFTwhXF09EKOSC9u16P/QYJWUuS0iUkSpr+I7GaXnk9uZOy5N/eoPwMXPI+W8DmesXAZCy+l0w6bkyZyhhYz/EkHQOAE29NgAoBAu58We5667nycvLo2fPnvTq1YtevXrRvn17FIrrH4MtqUHhHYRf95EUXDqEaLzudtJd/g/t9u8IG/UeysBIMjZ9QdrvHxD+8OwSa7C0Wi1HjhxxmMnFxsbSsmVLOnToQOfOnZk8eTKtW7fGw8PD5T4qC9uMoTwSW1MGbGb27Nl07NiRzz//nOHDh9+Uc64sfDXW+6E4d6UytL7zhkUGVIJcQdDAKWiiW6Ld/QO5/22g4MK/9qzQoEFPkbFxMeacdBQ+wfjf8QiCUuM6meZak+HoGSsRZI4za6n2T0KibFRZw7dg23nqPbfK/gC2GAqIm/cwoklP/KejQSbHs2l3AgdMRu4VgHbnCrL2/UTKD6+gDIom9L5XEeTWFHu5XMHqD54jaNFM4uLi2LlzJzt37mTp0qVcvnyZLl260KtXL9re1pNtZ/SIIng27Q6APuk8ZmOa/bwKLvyLZ7OeqELqAeDX/SGuLngUY2YiyoAIewappSDbKbMyKSmJtm3b0qFDB/r168fzzz9PixYtUCqrRinAmK71aRPlz8Jt59l6JhWB6zEluC4J16dpCFN6x9hnGHK5nJkzZ9K3b19Gjx7Nhg0bmDt37k033hVFs3Bf1Iok9CaLW3elJroVCt8Qsvb+hF+3B9EnnEF35RgBfcY77MtdVqgpJ420P+YSev+raBp2pODCAdJ+m40yONplMo1Jm+z2fKXaPwmJslElDV/hrDob+Wf2oPAKIGL8PJeuSl3cMfy6PYh/z9EOywXBMfkiOjqa0aNHM3q0db2MjAx2797Nzp07eXXJH+jr9rK7uNziMB2y/m1MvYwyIAKDwUD7+54g+59f7a7Ke+65h1mzZtGkSZMqHwdrE+XP4jGdSM/Vs+pQPKcTc8jWGfHVKGkW4cOIDu5T6bt168aRI0eYPHkynTt35scff6RVq1Y3+QpunMKZru7clYJcQcj9r5L+1zyy961C4RtK8JAZKIOiHfblLitUn3AGmcYLj0bWWZpnTGcEpRpD8iUs+VlOyTQ2ri4cD4KApn57AvqMt2faSrV/1R+pfOXmUSUNX+ESBhu5x66rWxTFVRGwDY1CzpTeMU7LbQQGBjJ06FCGDh2KYeVhfjuSUOy5aRp2JG3N+/i0vwtFQCRZu38EBESTHgBRpmDgyAl8sX5JsbHEqk6Qt7pcD1E/Pz9++OEHvvnmG/r06cOsWbN48sknq9VnUTjTlWvuyqCBU5zWU4XUI+KRuW73U1xWqCo8BmVQNPnn9uPRqBMF5/8BmRxEs8tkGr9uDxD+6MeowhpiKcgmY8Mi0v74kLCRbwM1WzauplPesinJUJafKmn4iupHWg3bcYIGT3O5vqsiYAABkV7eKWz6aQl/FBRQUMJPUtN7IaRpsefmUb8d/j1Hk/rre1j0Bfh2Hoag9kDuE2Rfx6LQVKsHfUUjCALjx4+nR48ejBo1ig0bNvD1118TFBRU8sZVhBvJdLVRUhG7V6u+pP3+AaLJgCBXEjjkGdLXvO+29k8d0RgAuVcAgQOeJH7+WCz6fHtWaE2UjavplKdsqnUd/ypdX1wdqJKGz5ZVZyP3+BaXhs2GuyJgD4MW2cU9xHl44HHtx9/f3/530Z8vjxvYGacv8fx8Ot5tzxg1Zlwla89KlCH17e/XNPmu8tKkSRP27NnDzJkzadeuHcuWLaN37963+rRKRXkzXWUCWK49wIrLCtXUa4N261LCRv8PVXgjDEnnSV31NjJPf4f9uR1A2RYXelpK9131ojxlU2/+cQJBEDBZxCpRX1xdqZKGz5ZVZyPv+Bb8uo5wuW5xRcADb2vFxyPHFHus3Nxcdu3axR9//MGBC3rERr0RFGpEixlsP6IF0WSwuqIsZoyZCSiD62HOTiX9r8/w6TQMucYbqJnyXTeCWq3mww8/pH///owePZrx48fz5ptvVpmEnuIoT6ZrkzBvjsZnAcVnhRqSL6KObmmfxakjmqCKbIpo0LlMptEnnEGm9kIRGIlFl0vGxi9Q122NTOMFSPdddaOwFixYB9AJXz+FV7MeBA99DlEUyd77EzlH/saiy8WjUSeCBj2NSe0JLltGOyLVeRZPlTR8zcJ9kQsJmEXQxZ/CnJuOZ7OeLtd1VwQsE+DYVS3TVx528HsbDAb27dvHli1b2Lx5M4cPH6Zjx4707duXD6cOZca2PAwmC1m7fyRr9w/Xj3NiK349RuHb+R7Sfv8QkzYRQeWBd+v++Pe6blxrmnxXRTFo0CAOHz7Mo48+yu23386KFSto0KDBrT6tEikp01U06lFpNDQI9iLCT0N8ZoHDrM9dVqg6ojHZ+1ZhSL6IKqwhhqQL1jj13c9ScOFfp2Sa/LN7ydz+HZZ8LTKVJ5r67QgZ9sL180C676oTtrIpGxkbFtsHQWAd7Oce30r4mPeRabxJ+/1DMjYutoZ9Es7YS1rkPkHUmfQ5+ef/JXvfzxhSLyMolHg2uo2Afo9RgKdU5+mCKtmBffvZFPq0spYLiOZrcQtRxKf9YALvfAKwFZH/jEmbhCq8MSH3v4rCx3UMSSUHs9mCh/YiVzcupZG/gn79+tG3b1969uyJl5d11Lx161YmLTuAMaQZyJw7kpeEIMDAFmFSPVUxWCwWPvnkE2bPns2nn37KqFGjbvUplZqima5mi8j+E+fQK31dNvMFEM0mMjZ9Qd7J7XZDFtBnPIJCRfbBP8j593fM+VrkHr74dBiCb5f7ynxe0n1XvUjL1dNjzhb7/ZJ3cjv5Z/eiDIrGpE0keOhzpP76HqrIpvh1uR+wTgCSf3gFdURjvFr3w6ftQId95p3YhszDB3V0S0SzibTfP0DhG0LQoKcACPFW0SMmWEp+uUaVnPF9v/8Kdf9vlf21xVBA/Gdj7bO+4orIXWEwA8jI829E2Kj/MX1Ic4ep/8mTJ3nhhRc4efIkU16bw1eXFOjKENexUVIGqQTIZDKeffZZevfuzUMPPcSGDRv47LPP8Pb2vtWnViKFM13tSQlKf0RwafTgehG7q6xQ345D8e049IbPS7rvqheFs9Yt+ny0O78nbNR75B5d77hi0bIps9EacnGBV8ve118owaftQLS7vrcvSs018NuRBCn55Rpln9ZUMrYavsLkn9mD3NMPdbS1b1zhInJBrsSv+0Po445jzHRuqloYEQGdycK7606xfF8sSUlJTJ48md69e9O3b19OnTrFc+Mf4NXBzfFQlu2j8VDKmDm4meROuEZarp7F2y8wfeVhJnz7L9NXHmbx9guk51qThzp06MChQ4cQBMH+d3XhelKCuRTRlspFuu+qH4Wz1rU7luHd9k4Uvo6xYE3DjuQe3YBJm4xFl0f2PutEQBQtaLd9S9yno0la9jy6y/+5PIYu7jjK4LrOy00W9CYLG04m89CX+1i+L7ZiL66aUOVmfKWu4bs2GroydwQ2b23CV1OsffkKuUTzTu1Eu+t7B1komnTjjTX/MeOXt3h0aG/OnDlDQECAfdc3It9VkyhPnVBZa5KWLFnCjz/+yMCBA3nppZeYMWMGsnK4mW8WR+O0PDfrfTKPbHSp41pcc9qS8FDK6N88jE2nUmr1fVfTsWWtG5Ivort81GVzZ+82AzBnp5G04mUQzfh2vpeC8//g33M0mrptEORK8k7tIGX120SMn4cyIMK+bcGlw+Qd20z4ox+5PYfanvxS5WJ804sUkZuyUri6+DEiJ39hL2coiD1C2pr3CRv1LoqASDI3f0nukfUEDp5G5sbPCX3gTTR1W2HKSePqosecZKHqPPk1ck9fejXwY9nk292dCv/Fa8ss31UTKN54Wa/blaukpJokG64e2pcuXWL06NH4+fnx7bffEhYWVglXduNMWnaA3377FRDsOq6FDV/aHx8iWswEDnjC3py2cJ8+VxT9PGrrfVdbsD3jsv9dg3bHdwjXusiIBh2IFpRB0U7GsODSIdLXfUqdKUsRhOsDw+SVr+PRqDO+nawuc/3V0yR9/yLAdcnGawkwYI0FZm7/FktBNpr67Qka/Azevv6snNS1Vt1LVW7GV5oaPndF5KbMBAeXqDkn3aUslEmbiNzLn3/i84rVN7wR+a7qSnn7EN5oK6cGDRqwY8cOZs2aRfv27VmyZAmDBg2q0Gu7UWxueM8mrnVcS2pOWxR3Rqw23ne1CZsWrHe7gXg1vz7wzv7nF0xZyQQOnIq5IAeLLheFfzjG9DgyN3+FX49RDkYPuCaMbv2iGpIukLL6bRSBdfDtfI9TAowh9TLp6xcQOuINVOGNSP97PhkbFqIY/mKtEzmvcoavtDV8rorIdXEnHFyirmShBIUSZYg1jb60+oblle+qbpTXeMVnFvDt3ssUGC0uW+qoI5uS9vsH6BPPY85OIWzUe2jqtaHAaHFItVYqlbzzzjv079+fsWPH8uCDD/Lee++hVleNh7wrN3xhSmpOC9Yym4bBXrSu41+iEast911tw6YFK1NqoFCbKUGpQVCokHv6Ycy4SsqqtzBnpyHz9MW30zC8mvWk4OJBNHVbg0xO3qkd6OOOE9h/EobUWJJ/eoPAAZPJObTO5XHzTm7DI+Y2NHWt+rn+vcaQ8OWTmHX5tU7kvMoZvsLK+O5q+ESTwamI3KtVf3KP/EXw3c/a1xNkcidZqODhLyFTWW82Sd/wOkULal0ZMEGmQLtzOYak8yDI0NRtTcCAyXyx04JFdN+JAEAd1RKfTveQ9ptj5q2rljq9e/fmyJEjTJw4kW7duvHjjz/SpEmTm/NBFENRKb2imHPSS2xOaxGhdR1/Ph7Z7qacs6TnWPUorAVb2Kvi3+th+9/KwDp296QNc34W2h3LMWbEgyBDGRRFyH2vogysQ9raT7DkZ5G+bh6iyYA+7jgZfy9AHdkU/9vHoqnXBmPqFdRR11u9KQMiEOQKjJkJeHo1qVUi51XO8BVWxs877ro4XTQZnIrIUaicXKIFsUdcykIpHpyFKqwhIOkb2ihcUOvOgBlTYvFuNwiPBh1AJiNjw2LS135C2Mi3APedCAB8O99j/aNI4oq7ljpBQUH8+uuvLF68mB49evD+++8zbty4W6qBWtQNXxRBoSqxOa11P5V/z5VX+Fji5lAeLVi5px8R4z52+V7wkOkED5kOWDt/KIOinRJgRGOBs9CH2hNRn1/rJgFVzvAVHg3Zii+LItN4EzlxvsOyq59PcnKJupOFKog9Yjd8kr6hcxsodwZMUUR+y6fj3SSvsHYQL64TgayENk/uXM6CIPDkk0/Sq1cve83f4sWL8fPzq4CrLjtF3fBFKU1zWut+KveeK2+cVuLmUV4t2NKgjrwutO/duh95J7dTcOEAgtIDiz7fYV2LoQChFoqcV8m88am9Y9AoSt+3zp1LVB3RGH38SQzJFwHsslCqaw+o2qxvWLjObuQXezGarV8+mwGz9YSLX/AoGRsWYTE6i3fr407Ya4WKdiKIGD8PQ/JFsvasLPFcShpttmrVin///ZfAwEDatWvH3r17y3fRN4jVDS9DtJithcSFdFxFi9mhOa1oMaOLP4nuyjE8Gnaw76Oy7zmHGsMS8rULx2lraz3XrWRM1/rMHNwcD6UcxBKMn8WCXAClvBwej2sJMMqQuhhSLtkXG7VJiCYjyoBIoHZNAqrcjA/KPhpy5xLV1G2NX89RpP76P7sslF+3B6yuOmqnvmFxLjAouZWODUPKJbJ2/0DI/a8CxXciKLydO0oabXp4eLBgwQJ+++03hg8fzrRp03jppZduamNfmxvenY6rf6+HS2xOW5n3XOE4rasYrSa6FQWxR8jYsBhzdiqqyCYED5lBgV+oQ5KRFBe8eYzpWp9wlZFH53yPV+PbkAmCQ/mKYDECAn2ahjL9zub8F68tdjZv0eWiTzjjMgFGNJtIWvYcurjjqMJiyNq5HM+m3ZCpPWvdJKBKGj4oWxG5O5couJeFKtqZvTZQmjq70hgwY2YCKT+9QUD/SWiirRlixXUiKA2lHW0OHz6cTp06MXbsWDZt2sSyZcuIiro5gxe7G978sEMiQmGKa05b2fecLU7rLkZrzs8i9df3CLprGp4xt6HdsZzUNXOIeGQuOpOZ9/46ha9GKcUFKwl3A4qTa7/hgYg8Xnupn718JTkzhwN7tlPXT8Hyt54iPMAq6WcbnCzcdp4tp1Mwm02YuT74Ey1mUn+djWgssC4QBOTegSgD62DKzUAZEEnyildAtKCu146Q4daaP7Mo1qpJQJU1fFCyMr5KLmAwl6/+vrbpG5a2VKEkA2bKSiH5h1fx6/EQ3q36OqznrhMBgGgyYqs3Ei0mq6tQrkQQhDKPNqOioti0aROzZ8+mY8eOfP755wwfPrzU298IN9KgtjLvucJxWncx2pwjf6MKrovXtZCAX8/R5MwbjTE9DmVQNPsuZrjdvxQXLD/FeVnUikR0Yid6NQ8iPrOAybc34uDBg9xzzyimTZvG888/7/D9E0WR1DMHSfllARn7D3HbyKcJb96JXZfzMZgtyD39UIU3wqtVH6c6PkEQ8G57J6qwhiQte57gu55G7mH93gV6qmrVJKBKGz4ouZgXUeSTzefKFCCubfqGJbnAZB6+pP/5EaZrWqeCxpvs/audDJgpJ43kH16x1lC2H+x0HL8eD2EuyHZqqQNw9YvJmLNTAEhZ+ToAdZ74GoV/WLncf3K5nJkzZ9K3b18efvhhNmzYwNy5c/Hw8LiBT6pkypuUUNn3nK3GsLgkI2PqZZSh11tByVQaFP7hGFKvOLhji6O2S12VlZK8LHqTiKBQsftyDge/3MfgSB3fvfY4X3zxBffee699Pa1Wy3fffcfChQtRqVRMnTqV7777Dm9vb9Jy9XSbvbnEc5F7BeDTYYi112gRMvINUh1fVaS4Yl4vtaLW62oWR0kuMJlSQ8jwl5H7hYJoIefAH2TtWelkwLL2rcKkTSJr1wqydq2w79/WSaO4TgRRU5a4PLcbdf9169aNw4cP88QTT9C5c2d+/PFHWrVqVa59lZYxXetz5swZlh0vsDYtLmbdm3XP2WoMi4vRWow65J6OGbEytReioYCk719y2ecNIPvAH2T/+xuWgmyUgXUI6Pc4RLeU+ryVwPJ9sW51XfVXT7usiV1V4MWMBau5916rosvRo0dZsGABP//8M4MGDeLLL7+kZ8+eDrPAVQfjkRVScAHQbvsW7bZvUQbWsdfxFYdcEKQ6vupGSS7R2qxvWBoXGFhLRMA6ohfkCkSTgbrPrXbYl3/P0fj3HO10DAHrA95SDq9zRbj//Pz8WLFiBd9++y19+vRh1qxZPPnkk5VW82c0Gvn1g/9jxovvcEoIqxL3nK3GsLgYrSa6pYt09ny7VmTgnU84ucf0CWfQbv+GsIfnoAprRO7hv0j95V2inl6GzkStk7oqLTYvi8UjAL/uI+26rjYsuly3NbHfHc9Dkb2S37/5jMuXLzN58mROnTpFeHi4y2MVFVYI6DPeZR1fYSHrokh1fNUUSd/QNaVxgdnq7K58PBLRUACiiJ+b5A1XiGYDD3eOYvWxtDK5/9SKinP/CYLAuHHj6N69O6NGjWLDhg18/fXXBAW5bk58IyxatIiIiAimjbkHQRCqxD1nqzEsLkarDKlH3rHrLjGLQYcpMwlViHP7GhumrGSUwXXtmqNerfqSsWEh5vwsBO/AWid1VVpsXhbPpq51XW36wTYK18QW6E18+28i7/zf/zF06FAUCsfHdFZWFufPn7f/7EwLBU2k/X13dXzKTsX3fqxNdXw1xvDZkPQNHSmNC8yWrVl3xkosBh15xzcj9w0t1f49lDLaq5L4ZsbTTP5gOd+dyMdYyoQjc3mmiCXQpEkT9uzZw8yZM2nXrh3Lli2jd+/eFbb/1NRU3n77bbZv3243KFXhniss9ecuycizSTcyty4h7/RuPGM6k7X7B5Sh9e3xPVfuMY+Gncjetxp9whlU4THk/rcRZWhD5F7WNl6l1butTRQVhCgNhWtiBZkMY0gTfEKC+OmnnxyM3Pnz58nLyyMmJobGjRsTExNDRHAT0nOL2XkRN6g7pDo+iRpDaVxghevsZCoN3u3vIv7Th1E/vgi5l7/L/TrGru7i9451mPzBQjx7PoL1cVgyJotYKUkSarWaDz/8kAEDBjB69GjGjx/Pm2++iVJ541/smTNnMmbMGFq0aFEBZ1pxFJb6c5dkJChUhNz7itWt9udcVBFNCBn2AuDePabwD8ezaQ+Slr8AoohM403og2/ajX5tc5GVhpLEzItStCYWQK/T8fTc5bRWJhMTE0OfPn14/PHHiYmJITw83MGNv3j7Bc5tOoveZCm2jg+4JrZwTaziWkd3QaGS6vgkahalcYE5IYqIJj3mnHQnw6dWWMV+isau6rW/Hd87FKT+8zt5xzY7BfNN2mSuLp6IUEiN3rfr/dBjVKUlSQwcOJDDhw8zbtw4br/9dlasWEGDBg1K3tANBw4c4I8//uD06dMVeJYVQ2GpP4pJMvKo3446kxY7LXcvc6Ui99hGIh9biCIgAt2lw6T8/BYR4z9F4WN1I9cmF1lpKEnMvDCuamLBOlAd9NDEUomZFx70iBazWyFrgCsf3mffLuFLa7Puei/9WevEPCTDV8MpjQus4NJh5B6+KEPrIxr1aHcsQ6bxtgsrC4AP+ZiSL5B67gj1xWR8dJ247Hc70V49CQgIYMG28xgsIgrvIJfBfBvRM1baMwdtuOrQUFGEhYWxdu1aPvnkE7p06cKnn37KqFGjyrwfi8XCtGnTePfdd2+ZVmhJiio3UmPoxDX3mDH5Ih6NbrM/OD0adkTuHYD+6ikU1+oBa5OLrDSUJGZuo7iaWOt+SjegKDzoKU7IGqxGrii1UcxDMnw1nNK4wPLP/0PGxs8x56QhKFSoI5sQ+uAsa7cBrD3ktr4yjCBvNTqdjn/++YcdO3bw2Wef8fDDD1OvaSvy+r2EKMjdBvOLw12HhopCJpPx7LPP0rt3b3viy2effYa3t3ep9/H9999jNBoZN25chZ9fSZSl00I3TSJbCvzh2v+uNBTnHtOrvcjasxJjp6Eo/MLQxR7BlJGAKqTetePXLhdZaSgsZi5azFZN10K6rsjkmPMyi62Jte6n9AOKqiqsUFURRLEsIViJ6sikZQfYcDLZ/tqdjqMN7a4fyNr1PaEPvYNH/XbIBPhtSg+Xrkij0cibK3fx44lczIU0zzN3LMOcnebk6pR7B4IgoKnfnoA+4+11ZRqFjBkDmlR6kkRubi7Tpk1j9+7d/PDDD3To0KHEbXJycmjWrBmrV6+ma9eulXp+RSmNzBxYR+0KRHR7V/Dc88+xeF9KidtYa1cEEpc9j+HqaewJEHIloSNeR1O/HVl7VpK9/xdrtq9MhtwvDP9CMxS1QsaeF/vWqtlCSSzefoGPr8XctDu/d9B1BfDrMQoEgaxdKxxc/3C9JrY834eyNJK2YRVWaF6r6ppBmvHVCqb2jmHTqeQSm8UCGDMTyT+zy2qgriGK7uu1lEoleUp/zOQ7vVcYmacv4Y9+jCqsIZaCbDI2LCLtjw8JG/k2cPOSJLy9vVmyZAkrV65k0KBBvPjii8yYMQOZzH2jknfeeYcBAwbcIqNXugeZKIIRAc8eYwgKDGTlpIb2ulYQ0ZuuW0CFYEEmk+PvqSYlR48gkxN411NONXy5xzaTd2IbkY8tQKbxJu33D5FpvBzccrXNRVYaRnSMYu4GaxzYv5d7XVdXNbE2yhNzK4u+cW0V87BRJdsSSVQsdQI8rik7OBaxC4IMhU+wQyF7xoZFBPQeB7JC7hquuyIBTCYTFy9eZMOGDSxatIh9B/8r8RxkKg/UEY0RZHLkXgEEDngS3aXDDgXVNzNJYuTIkezfv5/Vq1czePBgkpOTXa535swZvv76a2bPnu3y/crCVgCdvG8Nid9M5/IHw0n703XsRrvrBy7PvpuC2CPozSLvrrM+dJ9sraRbylq0O78nOOci7UMV3NsukucHtWDt073IKij+8y44vx/vtgNQ+IYgU3ng23UEead2YjHq7Os83KVexV10DSA7O5u3Z76A7tJBSlNC4IobibmN6VqflZO6MrBFGGqFDI3C8RGvUchQK2QMbBHGyklda6XRA2nGVytYdTAeuUzAaDIVW8Sed3oXglyJR6POwCKHfRiNBgZNmYV2789cuXKF8PBwGjVqRExMDD7hd5BUVptlSygtNCy92UkSDRo0YMeOHcyaNYv27duzZMkSBg0aZH9fFEWmT5/Oyy+/7FY1o7KwFUCXlCzkaoauM5p4cNbX5P39CZMnT+borFedzn/x9gsOr91KXDlMG0QwG60xvrCGKGQCJxOz6dU4pMKuu7oiiiI///wzM2bMYPDgwXz/yrNM/unULYm5SWIeJSMZvlpAaYrY/bqOQLv9W8JGvuNyHxZBQf123Xnr5bE0aNAAjeZ6bKJwTMNdMN+QdB6Z2gtFYCQWXS4ZG79AXbc1Mo0XAHLMhGlKlw1XkSgUCt5++2369evHI488wgMPPMB7772HWq1m7dq1XLp0iaefftphm8ruV1e4ALqkZCHbDD19/fWBioiAKaQpB46fIczP02kbcEy5d1fDp2nYkex9q/Fq1guZxpvsfdb4k2i6NvO3iFINH3D+/HmmTp1KQkICP/30Ez169ABgZq54S8XMq4KwQlVFMny1gNIUsYsmA14t+6LwD3O7H9+gMJo3b+60vHDmqLsmrcqgKDK3f4clX4tM5Ymmfjt78TRYJxYfTn2ALQsaM3HiRIYPH45affNGpb179+bw4cM89thjdOvWje+++47p06czf/58VCprhmRZsitvpF9daQugi5uhy2QyPvp1N+016SQmJjr8JKRnk9NlIvIAawzJXQ2fT8chmLPTSFrxMohmfDvfS8H5fxzqQWtzDZ9er2fOnDnMmzePl156iWeeecZBJKE6x9xqejNiyfDVAkpTxK67fBRzTjo5h9cCYMnPJu232fh2HYFf1xHX9uPaFVm4jqi4YL5XiztcLhcEuLNlJJ+cP8Wvv/7Kl19+yVNPPcXo0aOZOHEibdoUryxfUQQFBfHLL7+wePFiunTpQpMmTRg40JrwUVJ2ZUX2qytNAbRFn1/sDN1gFvljx0Eu5R4iIiKCiIgI/Bu2JScvAGOGiMJSTATqWg2fIMgc/p8Flw4h9wlC7nNd/7S21vBt3ryZKVOm0KJFCw4dOkTduq71TqubgP7NGtzdaiTDVwsoTRG7T+d7wHw9HpH47QwC+j1mXY+S67Uqoo5Io9EwatQoRo0axaVLl1i6dClDhgwhLCyMiRMnMmrUKPz9/cu8/7IgCALDhg3jlVdeIS8vj1GjRtF38ht8vDW21NmVN9qvrjQF0NpdK0qcoXe7ox9fP/oS4N5wF1fDZy7IwaLLReEfjjE9jszNX+HXYxSCYE2YqI01fElJSTz77LPs2bOHzz77jKFDixd+huoTc7uZg7tbjVTHVwtIy9XTY84WawzObCJj0xfkndxuL2IP6DPeXqxuI37hBIIGT8OjfjugdPValVFHZDab2bhxI19//TUbN25k6NChTJw4kTvuuOOG2g4V58qZNnkCDRo0YObMmTz2wtvs1nQCheN1mwtySF/3KbrYw8g8fAm441G8WvYucm1yVk7qWupRfG5uLgcPHuTdzfGcNTpuU7QuMmHJ05hz0uFaGYYlPxuZ2tNhhn5vuzp8PLJdsf8Xc34WKT+96SBx5d9rDB4N2mPMuErKqrcwZ6ch8/TFt9MwfG+73hy1NtXwmc1mFi9ezJtvvsnEiRN57bXX8PLyutWnVWHUthpAyfDVEiYtO8DGU8llUoy3IQgwsEVYqSTFylJwXdaYRmpqKsuXL+frr79Gp9MxYcIExo0bR2RkZMkbX6N4V44Ms8WCPvYwP705ka6NI6yf28kkxCLC26lr3gdRJGjwNAzJF0lZNYvwMR/YFU1s1+juczObzZw4cYL9+/fzzz//sH//fi5cuECbNm0I7PEgZ1SNMYmCPVlIu2sF5px0gu56GmRyLPo8tzN0mcoDBRam3F6Pfq3q8tCX+ygwmt02m83a8xNZe3+6fnKiBdFkJGracqfGtaW5tprGwYMHeeKJJ/Dw8GDRokW0bNnyVp9ShXI0TstDX+4j7pc56GKPWhsWewXg2/V+fNoOJPfEVjL+XnB9g2tavuHjPsE/ummZBndVBcnw1RJsN3d5XJFlnbn8F6+t1JiGKIr8888/fP311/z888/06NGDiRMncvfddxfbgaHURhkRjVLBM/1i+HjTOad4m8WgI+6Th4h8bIFdwzLtj7nIfYKsNZCFsM2KCrSp7N+/327oDh06RGRkJLfddhtdunShS5cutGnTBpVK5TBDd6f8UTSOWnSGLohmtN9Mpe79L5LtWx8RgaTvX8KrVR+nQvWiaHd+jy7uBOGj33O7TlnviepIVlYWr732Gj/99BOzZ8/m0UcfrbTmxrcS26BYn3IZZUAkgkKJMT2OpBUvE/rAm/ZejDZy/9tE1p4fiZz8JYIgEOKtokdMcLVKfpEMXy3iZrszbkZMIy8vj59//pmvv/6ac+fOMXbsWCZOnEizZs0c1ivPtStkAqIoUrS9oCHpAknLX3DoUJ+1/xf0V44R+sAbDusKFhOmQ7+iP7qOLl262A1d586dCQgIcHvsipihv9ivPgM+24dJtD6sS2P4RFEkYfFj+PUcjXfrfi7Xqc4urtIgiiI//fQTzz77LIMHD2b27NmV0tC4KlB4kFUYY3o8ySteJqD/JLya93J4L2nFy2jqtnZSnrENaqtD8ouU3FKLuNnp1TejjsjLy4tx48Yxbtw4zpw5w5IlS+jTpw8NGzZk4sSJPPjgg1zINPHuutNORi/tjw9dunZsmNw0yrUYCxDUHg7LZGpPLIYCp3VFmYJBDz3GFxuWlmm2UBHJQuvPpiOXyzEVeqi5LVS/hj7uBOb8LHv9YGGqWsp9ZWCryUtMTHSoyaupFC2dSV+/kLxjmxFNelRhjZw6xZuyUtDHnSBo8DNO+6pOyS+SZFktoyZLGjVt2pQ5c+Zw5coVXnjhBdasWUN0dDSPffwzOhcGxLfrA9R5cgl1n/2Z0BGvod2xDH3S+RKPI1N6IOodjZyoz0em8nC5vlmhLrOLrG20PzMHN8NDWbavaOEC6KJlEQF9xlPnia+Imvot3u0GkbL6bYyZiQ7b5x7fjGfTHg7XIhOotvdEadHpdMyaNYuuXbty5513cvDgwRpv9MC5dCZo4BSin/2JsIfn4NGkG4LcMXSQe3wz6qgWKP3dKxkVzmxevi+2sk79hpBmfLWQ6pJeXV6USiX33HMP99xzDycuXGHYV0dd1qwVTkQBAQEBU2aiU0yjKIrAOogWM8aMq/YYnyHlEkqH/V1n7a8/0/L9cdSrV4/69es7/Q4LC3NpGG90hl60LMJdobqykzUl32LUkX96F6H3v+awXcNgL1ZO6lat74ni2LRpE1OmTKFly5bF1uTVRFyVzggyOZroluSd2ErO4XX4dhoGWD0keSd3IMgVXP18koOHJO/UTrS7vseck47CJxj/Ox6BJt0qrcn0jSIZvlpMbZA02hlvRKFQYHZTEF6Sa8cVMpUGz6bd0O78nqC7pmFIuUj++f2Ej/nAaV2NQsaMKY/SN2IssbGxXL58mdjYWA4cOGD/Oycnh7p167o0jL3r16flY7fx+Y6LZU4WKtwXziXXCtVt5J/di0zjg7pua4fVWtfxr5FGz1aTt3fvXj777DPuvvvuW31KpaIiVVWKvUcsFkyFPAKaBh3IO7OHqKeXY85NJ2nFy6jCGiH38iftj7mE3v8qmoYdKbhwgLTfZlPnya/ReftXWpPpG0EyfBI1mpJUUIIGTiFwwGT0V0+ju3LMybXjjsA7p5C+7lPiP3sYmYcvQXdOKTKDtCICY7rHEOStpnXr1s47wpqgc+XKFbshvHz5Mn/++af9dXp6OlFRUUQ1aoaicQ/wr4Pcw4dgXy9aRwcyvk8Lwv2da8oKCxcUV6huP49jW/Bu1ddh9llVi9Rv5OFfuCbvscce46uvvsLT07WmaVWiMlRV6voqkGPBkJeN7vJRPGJuQ1Co0MUeIe/UdoILyQrq407g1bQHMrUn5twMu4cEixmZxss+aPSM6YygVGPSJiL38q/UJtPlRTJ8EjWa0qiguHPtFIfcw4fQ+18tfr+lbC/j5eVF8+bNXeqggjX+FBcXV8gwnif2jNVA7oqN5c3kZMLCwpxmi6GR9bBc84+KFjPaHcsdCtVD7nvV7qo15aShu3yUwIFPOhy7PH3hKpMbffjbavI8PT3Ztm1btanJq0hVFZPJxIYNG/jmm2/YuHMf/o/MB0Eg5/BfpK9fCKIFhV8oAf0ex7NxFwBEk4G807vQRLfkyof3O3hIBIUKZVA0+ef249GoEwXn/0FQKFGGNACsjVhWHYqvUt4lqZxBokYzfeVhfjuSUKp109fNQ1CqCRwwuUKOfbNq3YxGI/Hx8Q4zRtvvi3X6I0a2Riim0a47qlqR+o2II2RlZfHqq6/y888/M2fOHB555JFqU5NXUWVIp0+fZunSpSxbtozo6GjGjx/PyJEjefHPC2UqnREtZruHxK/rCAS5gpyjG8jc9AWiyYAgVxI8/CU8Yzrbt7GpCFUVpBmfRI2msLuvMOY8bYmuHRsKmTUWVoJutAMV2V6mJJRKJQ0aNKBBgwZO7x2N0zLyy73oyvDQtO9XELkzytpc1dfXtyJOtdyUtRu9LatQFEF1ZT/PPvssQ4YM4cSJE9WqJs/WkLjodRvT4kjfsAhD8nnkHn4E9BnvUIJSYLTw7rrTNPRXcGz7Wr755htiY2MZO3YsGzdudJjplrV0pqiHRBlcF+3WpYSN/h+q8EYYks6TuuptFA/OQhXWEKh6XTwkwydRoyncMsmBElw7hZHLBJ7t34RPNp+nwGAEwf3sqarVurWN9ufVwc3LPGOQiSYCL+/itanrGBsbi1qtdpmRavvt7+9faTMoVw9/0WQkfcNCdLFH7ELaAXc86pCcVGC08PqvR/Dc+w0///wz3bs71yZWdWwNiQsjWsykrH4bn/Z3EfbQ2+iuHCd19VtEhNSzu64BCgxGRrz+Jd0tJ3j11VcZOHAgCoXzI7+hv5xxbX356lAGRksZ/ofXkl9Eswl1dEvUEY0BUEc0QRXZlILYI3bDV9W6eEiGT6JGU7hlUmFXjtzTj/CHZ5e4vS1ON/mOGBr7wZj/Lce78W3IBKFKt5cpTPnKIloypus9wAeIokh6erqDG/XixYts2bLF/loURbdGsV69eoSEhJTbMLp7+Ct8ggkfPRu5XwgFFw6QumYOkRPmO3SsEOUKejz+Ft27dy662ypP4YbEhTGmx2HOzcCn83AEQcCjflvUdVqQd3wL/rePvb6iIMO7SRc+nf4s2akJbNy4kUuXLhEbG+vwOz8/n/r16xPccQgpdXpiFuRQRJu2OA+JTO1J9r5VGJIvogpriCHpAvq4E/h0GAyAQqDKJUhJhk+ixlMRKigA239dxvCgVN5+qV+1q3+8kb5wgiAQHBxMcHAwnTq5jvdptVqn+OKePXvsr3U6HXXr1nVrGMPDw5G5iEO6e/jLVBoHvVLPmNtQ+IWhTzpfpFWTwPZzaVUuq7A0lLYhsRURQ+plp6V6vY7W9zxOcOoRGjRoQP369WnQoAEdOnSwvw4NDbUPStzq7BbxkMi9AhDNJvJP7yR46HP49RxF8srXseRnASLK4Lqowq0zQJMILcJvrau8KFJyi0St4EYTBPR6PfXq1WPr1q1usy+rC7dCuCAnJ4fLly+7TMCJjY0lKyuL6OhoJ4N43BzBr+cNGIoKphbBnJdJ/MIJRE6YhzIo2uE9jULGjAFNKiWrUBRFjEYjer3e6cdgMNzQ8oPq1iRrnIvpRbOJhC8m493+Lnw7D0d35T9Sfn4LTb3WhI1822n94e0i+WRk+zJd17nkHN796xQXUnJJytZhLPL5J//4GqJJj8IvlOChz2FIvUzSsucIHfEGqvBGpP89H0QLIfe8CMCgllUnSQokwydRi1i+L5Y31/xnFW0uY5zuu+++4/vvv2f9+vU36WxrF/n5+U61jLGxsRzWtKEgzHX9ow3RbCLlpzdQBEQQNOgpl+u09MxlgE9ihRsng8GAUqlEpVKhVqsdflwtK8vy3zLCOZevcXk9hpRLZGz8HGPqZVQRMdb2UXIlwS40NM1XjhJ6ejWRkZEOPxEREfa/Q0JCkMvlxZaL2Mg7uZ38s3tRBkVj0iYSPPQ5Mrd/iykrhZBhzwNgzEwk4csniX5mBTK1Z5Xr3Si5OiVqDUOa+vF/v71N/2c+4MDVglK7+0RRZN68ecyaNeuWnHdtwNPTk2bNmjl11Zjw7b9sOZ3idjtRtJD251yQKwgc8ITb9VK0uVxKu2Q3Kh4eHvj7+9+wcVKpVC5dtBXBuZWHOeemFEcV2sAhRp207Dm8WrnupjG4/x08Nn0ACQkJ9p/9+/c7vNZqtYT1GIG88wMgU7gdGFr0+Wh3fk/YqPfIPXp9EGhMvYI66ronRBkQgSBXYMxMQB0eU+Vq+STDJ1FrmDt3Lnd3b8PXT/Quk7tvz549ZGVlcdddd92iM6+9FCepJYoi6evmYc7TEvrAmwhy9+v2vK0jH4+cWBmnWGm4K8WBa9qwgXUQRQs5h9Zhys3Eu3V/552YDGz8+VsCzgRy3333MWzYMJdJRt/susD/1p9BbyreAajdsQzvtnei8A12WC4aC5CpHdVvZGpPRH0+YB1gnk7MKemSbxqS4ZOoFaSmprJo0SIOHjwIlE2ndN68eTz99NOVNrKXcE9xD/+M9QswpscR9tA7yJTuXWhVVXatJNyW4gB5x7eSe3Q9osWMOrolYQ+9jaBwLhlQazQsevVxNv35K2PHjqWgoID77ruP++67jx49etjdm3M2nOPqrx+4bdOVc3Q9WTt/wJybjrp+W7xa9nE4jqD0wHLNyNmwGAoQChnDqlTLJ8X4JGoFzz33HAUFBSxYsKBM28XHx9OmTRtiY2NveRF3bcRdo1RTVgpXF00AuRJBJrcvDxw0Fe8iD+WqFl8qCxXRkNiWVCKKIidPnmT16tX88ssvJCUlMXz4cJIaD+Nouui2A7uozyd1zRy8W/cn59CfIIqIFot1hi1aUAZFo2nYwTHGp00i4Ysn7DE+qFrqLdKMT6LGk5CQwJIlSzh+/HiZt124cCFjx46VjN4twl0dpsIvlHov/VnyDiwWWvgL1dLoQcWV4oC1LKVly5a0bNmS119/nfPnz7N81Rr+TjaAXOm2TZch8SyezXri13MUvp2HY8rNIOmbZ/Bs1RdRn0vgwKmY87QkLXsOXdxxVGExZO1cjmfTbnajV9Vm3ZLvRqLG8+677zJhwgQiIyPLtF1BQQFfffUVTz3lOlNQ4uYwtXcMGoW85BVdoFQIHFkxhxEjRnDlypUKPrPKpyIaErsjJiaG8G7DUauvDwrS1y/kyof3k/DlE8i9A68r4YgiMqUGuXcAci8/6yJDAYJChdzTD1VIPYIGTiXtj7nEf/YwFn0BgXdOse+3qomdSzO+WkpF9vSqysTGxvLjjz9y+vTpMm+7YsUKbrvtNho3blwJZyZRWmwP//LWYd7/6t+8//77tG/fnueee45nn33W4WFf1bnRhsTF4aoDe9E2XZqGHUlb8z4+7e9CERBJ1u4fAQHPJl3xanGHfVuvlr3xatnb5TmVpkvJzUSK8dUyim/rYk3nL2tPr6rMxIkTiYiI4J133inTdqIo0q5dOz744APuvPPOSjo7ibJwI90ZAC5evMgzzzzD2bNn+eyzz6rd/9Wtqgrll8wrrlwk/e/5KIPr4ttpGDkH/yT7wBos+gJ8Ow8ja98qQke8jia6VYnHuFldSsqCZPhqETf64KhunD17lh49enDu3Dn8/f3LtO22bdt48sknOXnyZLVpX1Mb+C9ey2ebz7Lh+FU0ajX6QooipX34//HHHzzzzDN07NiRjz76iOjoaJfrVVUqUnmnuLZd7tp0GTOukrh0GnWmfotc413s/l21R6oKSK7OWkJ527oAVe6mLS1vvvkm06dPL7PRA2sJw7Rp0ySjV8VoE+XP3f6JnDnyJQ+/9lm5Hv5Dhw6lf//+zJkzx8H9qVKpbtJV3BhlKcUpCVu5SH5WhlsRatFkwJiZgDK4HubsVNL/+gyfTsOKNXpVffAszfhqAUfjtDy4aAdX18532cYl98RWMv4ulOYviogmPeHjPsE/ummVc1OUhmPHjtG/f3/Onz+Pj0/ZssliY2Pp1KkTsbGxeHsXP6KVuPmMHTuWrl27MnXq1Bve14ULF5g2bRoXLlxg/vz59O/vogi8BmMrF8nPziT11/9hSLlkb9Pl03EoPu0GYdHlkvT9S5i0iQgqD7xb98f/9rEOZSQ2qnKXksJIhq8WMGnZAdYfvUzWvtV4t+5vb+OS9vsHTm1cAHL/20TWnh+JnPwlMplQpbpwl5b77ruPnj178uyzz5Z52+effx5RFPnwww8r4cwkbgS9Xk94eDgnTpwoc5auO0RRtLs/O3fuzEcffURUVNXJQKxsbqRWECDST0PzCN9q0aXEhuTqrEG4ytSMDvRk25kUBGVp27hA7vHNeLXqiyAIiCJsPZNardq6HDx4kP379/P999+Xedu8vDyWLl3Kv//+WwlnJnGjbNq0iVatWlWY0QNrfduwYcMYMGAAs2fPpl27djz//PPMmDGj2rg/b4QbqRX0UMpZPKZjlZ3ZuUOq46sBHI3TMmnZAXrM2cLHm87y25EEtpxO4bcjCSzadsFlSxdzXibGjKuoQhzbnpiyUtDHncCrVV/7MpvAbHXh1VdfZebMmXh4eJR522XLltGrVy8aNGhQCWcmcaOsWrWKESNGVMq+PTw8mDVrFvv27WPHjh20adOGTZs2VcqxqhKVWStYVZEMXzVn+b5YHvpyHxtPJaM3WZylnSzORk80m0j7/UO8W/dz6l2We3wz6qgWKP3D7cuqmsBscezatYtTp07x2GOPlXlbWxeGadOmVcKZSdwoRqOR33//nfvuu69SjxMTE8Off/7J+++/z+OPP87IkSOJj68+A7/yMKZrfWYObo6HUk5J+VyCYJ3pVcVszdIiGb5qzPVMzeLLEwpTUhuXvONb8G7t3N6kKgnMukMURV599VXeeOONcrmoNm3ahFwup3fv3hV/chI3zNatW2nSpMlNKT+wuT9PnDhB06ZNadeuHe+//z4Gg6HSj32rGNO1PisndWVgizDUChkahaN50ChkqBUyBrYIY+WkrtXW6IEU46tWFI7hxWcWcPhKJiajkfQNC11mawLkndqJdtf3mHPSkfsEI/cKAESXbVx08Scx52bg2bSH07F9Nc7K71WNLVu2kJCQwNixY8u1/bx583jmmWekEoYqSmW6Od3h6enJW2+9xSOPPMK0adNYunQp8+fPp18/173vqjttovxZPKZThdYKVkWkrM5qQHFqKxaDjuz9rrM1kcu5uugxQu9/FU3DjqT89Aa62MNETv7SwZVpI/2vzxBNBoKH/p/Dco1CxowBTapME0lXiKJI9+7dmTZtGqNGjSrz9ufPn6dbt25cvnwZT0/PkjeQuKmYTCYiIyP5559/qF+//i05B1EUWbNmDdOnT6dr167MnTuXOnXq3JJzkbgxJFdnFaekGJ5MZc3WVPiHIQgyh2xNc046Mo0XHo06Yc5ORXfpEIgiCV9O4crcEVyZO4LcE1sBEE0G8k7vwsuFm7OqCcy6Yu3ateTm5jJy5MhybT9//nwee+wxyehVUXbs2EHdunVvmdEDq/tz+PDhnDx5ksaNG9O2bVs++OCDGu3+rKlIM74qTFnUVmyY8zKJXziByAnzUAREkvzDTHxvuxePRp0oOP8PGRsXE/n458hUmlLtTxCgd5MQujQIqrKC1haLhY4dO/LGG28wfPjwMm+fk5ND/fr1OXLkSLWTr6otTJkyhbp16/LSSy/d6lOxc+7cOZ5++mmuXLnC/Pnz6du3b8kbSVQJpBhfFeVonJa3f//PrdoKgMWoI3PLEvJP70K0mFAG10emUDpka3q16kva7x8gmgwIciXBw18qtdEDaynDrvNp7LmQXkTQOomPN52tEoLWv/zyC3K5nHvuuadc23/zzTf069dPMnpVhKL1qD5qOWvO5vHbE+X7/1YWjRs35q+//uK3335j/PjxdOvWrdTuz9rSHaWqIs34qiilUVtJ++NDRIuZwAFPIKg9Sf35LZDJCL3/NQS5goLYI6T9NofQkW+hCm+EIek8qaveJvTBWajCGlbIed5qTT6z2Uzr1q356KOPGDRoUJm3t1gsNGvWjCVLltCzZ89KOEOJ0lJcLBuTEbVGXSUGWq7Iz8/nvffeY/Hixbz00ks888wzKJXOCWG1rTtKVUWK8VVB0nL1bD+baldbcRW/M6bHkX9uP0GDnkbm4UvG3wsQLSZC7n3Fnq1pSL6IOrol6ojGCIIMdUQTVJFNKYg9UuzxrTmNpRsPFRa0Xr4v9kYuu1ysWLGCoKAgBg4cWK7t//77b7y9venRwzmTVaL0pOXqWbz9AtNXHmbCt/8yfeVhFm+/QHquvlTblxTLRqFEb7Kw4WQyD32575bca8Xh6enJO++8w969e9m0aRPt2rVj69atDuuUdI26a8uq6jXWJCRXZxVk1UHXxbKF1Vb0CWdR+IWi3fk9OYfXIQgCgYOeRqa87iZRRzQme98qDMkXUYU1xJB0AX3cCXw6DAZRRBBA5HrqvkYhwyyKmC0iouic0p93cjva3T9gzk5F7hVA0JDp9n5cBUYL7647TZso/5um5GA0GnnzzTdZsmRJuUsQpBKGG6P4GUzp3OE1qXNIYffnuHHj6NGjBx9++CFbrhhu+TVK7tXrSK7OKoirHlmi2UTKT2+gCIggaNBTZO35Ce2O7/DpOIycg7+DTAEWE4JCDYJA4KCpeLfsQ/bBP8j593fM+VrkHr74dBiCb5f7kAsiwSmHuJKeR2B4FPXrhNGnXROOpxrYfi7VqSC+4NJh0v+aR8g9L6KKbII5NwMAhU+wfR1BoFIErd19YXWntrF29Y9s3LixXPs9ffo0vXv3JjY2Fo2m9HFPCSsV0d/xaJyWh77cR/K+38g7thlDaixeze8g+O4Z9nUKYo+QsWEx5uxUVJFNCB4yA4VfaJVscFqYvLw83nvvPb5cvQGxbgeyj21xuj7RbCTt9w/QJ57HnJ1C2Kj30NRrY99HRVyj5F51RprxVUGydSaH167UVgSFCmQKAvpNJHDAJABSfp6Fpn47fDtfTwLw7TgU345DHfYnCDCgRTiL33udvLw8/v77b1avXs27C3bh98hnViNahKxd3+PXYxTqOs0AR4N3/TwrVtC6pNlEgT6I24a+wNE4bbm+sJ999hmTJk2SjF45qKhZ2oJt59GZzCi8g/DrPpKCS4cQjdfLA8z5WaT++h5Bd03DM+Y2tDuWk7pmDhGPzEVnMrNw2/kq2znEy8uLd999l0tRA9i0Yb3L6wNQR7XEp9M9pP0222kfN3qNJQ1ObF3cN5xMZsfZtCrbP6+ikWJ8VRBfzXXDI4oi6evmYc7TOsTvlKH1nTcspbvObNDx5/vP0LVrV8aNG8fu3bvp3LkzI1/6CLnM+ZYQLWb0ieex5GdxdfHjxC94lIwNi7AYneM3FSVoXZp4iCBXciDJUK54iFarZcWKFTzxhLNsm0TxHI3T8u6603ajZ8y4yuUP7iXtD+c2TmlrP+Hy7LsxZibY3eH/xWut712LZYsieDbtjmeTbsg8fB22zz+7F1VwXbya9URQqPDrORpjyiWM6XEOA62qSlqunoMJBXg26+ny+gS5Et/O96CJbgmuvns3cI1lkTS81bH6m41k+Kog1q7I1n9NxvoFGNPjCB3xukP8ThPdCoVvCFl7f0K0mNHFn0R35RgeDTsUu28PpYy3723Hnj9/YO7cuYwYMYLIyEhiY2PZf+YqZhe3hDlPCxYT+Wd2EzZmDhHj52FIvkjWnpVO61aEoPXN+MIuWbKEu+66q0Lb29QWbLM0GxkbFqOOaOy0ni7uBCZtkuOyazMYcB/LLowx9TLK0OudMmQqDQr/cAypV4Cq3zmkNNdYEuW5xpIGJ7rL/3F59lC7kMWVuSPIPbbZaXBSU5FcnVWQER2j+HjTWUxZKeQe+RvkSuI/u64/aYvfhdz/Kul/zSN73yoUvqEED5nh1G3BhgBolI5xlrp1HVsSTfj2X7acTnHe9prB9ek4FIV3oPXvzsPJ2rOSgDsecVr/RgStbV/Y5H1rXMZ8DGlXSP/zI0yZiQCowmMIGDAZguuWOrnGbDYzf/58fvjhh3KfZ22l8CwNrAlPMo0XyqBmmLSJ9vVEi5mMjZ8TfPcMEpc8fX15oRnM6aRs5+zNIliMOuSefg7LZGovREMBUPU7h5TmGkuiPNdYmsGJ3CeQqKnfujhe1XYhVwSS4auCBHuruaNJCBtPWaj30p8O74kmqyi1dvt39qL2kOEv49GoEyZtMpdn342gvB6z8u16P/49RiEI8M7wltzfwbVhTE9PR5uaCMid3pNrvJEXiekVlwV5I4LWJcV8FN6BhAx/GblfKIgWcg6tJW3N+0ROnF/qL+yff/5JSEgIXbp0Kfd51lYKz2As+ny0O78nbNR75B5d77Be9r+/oYluiSrUua+h2Wxi6txlxOYpQe4cKy6MTKnBos93WGYx5COorvdarMqdQ4rG68vLhm07mbB+HpGRkdSpU4fIyEj736GhoSgU1x/lpR2cuKM6Np8uK5Lhq6K464osWswofIIJHz3bXtSeumaOVZT6GtEzViLIHA2YCGw8mWw3fFlZWezYsYMtW7awdetWLl68SNPhTyGv082lu9O7dX9yDv6JR8OOIFeQ/e9veMZ0dlpPNOrZ9/dqFmXsZeDAgTRsWPpC+aIxH8CqOWpMs68j03gj03hbjyWCIMjss7/SfmFtJQwSZafwDEa7Yxnebe9E4etovEzZqeQe/puIcZ+43IdJlJGYL+DroSCpBJlLZUg98o5ttr+2GHSYMpMcGihX5c4hheP1N0LLJg3p7uNBQkICR44cYd26dSQkJHD16lXS09MJDQ21G0Ndg16YPJoCsmIHJ+a8LOLmjUFQqvFs3BX/28faVZ1s7tWqLEx/I0iGr4pi64pcNHPOJkpto3BRuzo8xu3+RBE2nUxm2gsz2bt1A6dPn6ZLly707duXRYsW0alTJ7L0FnrM2YLZhWvGr8dDmAuyufrFZASFEq9mvfDr7iwIrdZoGN+nBbs3/82sWbPw9fVl0KBBDBo0iN69excrAl2WeMiVj0da3V2iiF+hz6OkL+zx48c5derUTW9vU1OwzWAMyRfRXT5KxPhPndbJ3PQlfj0eQqbxcrufmBZt6Fw/kI83nUVvsiBazGD7ES2IJgPI5Hg26Ubm1iXknd6NZ0xnsnb/gDK0vt2lr1HIaBbhUzkXWwFY4/VJ6AxGl9cnyOSIJiM2wQjRYrK+J1favSpKQaRPu6Y81meIy2MYjUaSkpJISEggISGBL44ZMBdYB6/uBifKoGgiJsxDGRSFKSuF9D8/JnPLVwQNegqo+i7kG0UyfFUYWyzOGqQ2u1yncFG7jasLx4MgoKnfnoA+4+0xErPJSIIqmrlz59KlSxfUasdZUbCSay7WZKekEkGuIGjgFIIGTnF7voIAfZuFMmnMYCY9MgqLxcLRo0dZv34977//PiNHjqRr1652Q9iiRQsHl2lZ4iF1Z6zEYtCRd3wzct9Q+3LbF9Zd7d++FYt58skny9WoVuL6DEZ35RimrGTiF44HQDToQLSQmPYMRm0SuviTZG5bat8u6bvnCOw/Ca+Wva/tR2mPZQNk7f6RrN3XY655J7bi12MU/r0eJuTeV8jYsJj0P+eiimhCyLAX7OtV9c4htmss7vqufjEZc7Y1tp6y8nUA6jzxNQr/MACMJjNvjR/M5YfuZ8KECTRp0sThGEqlkujoaLvW7B/Z/3LqdEqxgxO5dwBy7wDr9v7hBPQZT8qqt+yGD6q2C/lGkQxfFWdM1/q0ifJn8vKDJGbpHN4TzSbSfv/QLkptMRQQ/ujHqMIaYinIJmPDItL++JCwkW9b15criW7dldtvb+f2eO5crKVBo5Azpff1WadMJqN9+/a0b9+el156iezsbLZs2cL69esZMmQIZrOZQYMGMXDgQPr371/meIhMpcG7/V3Ef/ow6scXIffyB2DX+VR6zLG6PwsbUrUiEZ1vP8SI0HLX/tV2bDMY73YD8Wp+u3159j+/YMpKJnDgVKt7odDIKX7+WEJHvG7PzrTN0q7HspPx7/WwgyejMB7121Fn0mKX7wV6KXl+9X9VVoXEfo1m99cXNWWJ2+0FAQa2qcMz439nyZIl9OrVi6ZNmzJx4kRGjBiBl5fzrLo0gxMnYygIIFqK7KfqupBvFKmcoRrQJsqf5hGO9T+uitplKg+rLqdMjtwrgMABT6K7dNghOaCkUZzNxeqhLNut4aGUMXNws2IzKn19fRk+fDiLFi3i0qVLbNq0iVatWrFkyRKio6PZu31LmY4JgCgimvSYc9Lti1JzDS5r//QmEUGhYsdFraSFWE5GdLTOrmRKjX3WIPcOQFBqEBQq5J5+yL38Hd4DkHn62stxCs/SpvaOQaNwTqgqLYlZeracTuG3Iwl8suks3edsYfLyAxyN097QdVYkN3KNMouJx3vUo3nz5nzwwQfExcUxffp0fvrpJ6Kjo3niiSf4999/KSzA1SzcF7kA3u0GUmfyV0SO/4zI8Z/h0/4uPBp1InTkW+gu/4cpKwVRFDFlp5K57Rs8Gne176Oqu5BvFMnwVRNKU9TuhGDfoNB+Sh7Fjelan5mDm+OhlJdYEy8IVlmlmYObl0nxQRAEmjZtyjPPPMO6detISUnhrm5tkInWmaZoMVtjHYViIqLFTMGlwxiSLiBazFj0+WRu/gqZxhtlcOlbCtW2Yt2KxDaDKXpf+Pd6mOChz7ncpt5Lf6IMsNZLCgL0aRpin5W1jfZnZBMlogsxhLJSVUWeyzuY1ChkhCfu5emH7yEhwSphqFKpuO+++1i7di3//fcf0dHRjBw5krZt2/Lpp5+Snp5O8wgfzOL1wYnFkE/8ogkUXDpkH5xkH/idq4sf48qcoVxd/DgyDx8C+0+yH7uqu5BvFMnwVRNKU9SuTziDMT0eUbRgLsgmY+MXqOu2ticZlGUUN6ZrfVZO6srAFmGoFTI0CsdbRaOQoVbIGNgijJWTut6wzJGHhwevjOprb+WStftHrnx4H9n7VpF3YitXPryPrN0/YtHnkfr7B8R9PJKrix/DpE0k9MFZVgm3ImQf/IPEb6Zz+YPhpP35sdP7taVYt6K5kRlMUXf4hQsXWPzcwzzcQlOqgVZpqIoDm7IMJhFFPJRyXh3SnJ1L32Pw4MF07tyZXbt2OawWFRXFzJkzOX/+PJ988gn//PMPjRo1Yvr81Q7r2Wr4VKENCB76HPqEM+hiDxP+6EfUffEPAvtPQn/luL1eFxwHJzURSaS6mpCWq6fHnC3kpSdxddEEa9ZXoZKFwEFTEQQZmdu/w5KvRabyRFO/HQF9JtjdTWqFjD0v9i3zDZ2eq2fVoXhOJ+aQrTPiq1HSLMKHER0qPp4y7IM/OZomIriQbyor+Wf2gCDYawELCx/bqCxh7ZpOWbQ6bcgF6Nc8jP/d25ogbzVarZZu3brx9NNPM2XKFP6L17Jw23m2nklFV1Dg8CAujDHjKglfP4VXsx4ED30O3eX/yNj0OabsNGv7reiWBN75BAqf4ConZF34GgWua2WCdTBpEUXyz//D4mfu5+5ure3v/fXXX4wbN47XXnuNqVOnuqyjTcvV8/mW03y1N87edSXv5Hbyz+5FGRSNSZtI8NDnyDu1g+x/fiXiUetg0GLQEffRCOo89Z1doGLZhNvo1TikEj+JW4tk+KoRk5YdcJlxWRqq+gNer9fz4osv8tuOQ6gGv4ih7Lk1bsncsQxzdppLwwflHxDUZErTwqa03RkKY+sGcHvjYE6v/pQO9YP49NNPHY6XkJHD3kPHaNO6DYFeKs6n5jokdiX/+BqiSY/CL5Tgoc9hzstEtFhQ+AQhmoxody7DmB5P6IjXq+x9X9xg8qsFn7Bnzx7WrFnj8LkkpWdxcO8uonxkLJs1hagQf8BRzN1ktmC+9r+w6PNJ/Ga6vYbPZvgs+nySV7xM4MApqMJjyDm0jtz/NhIx/lMEQUAhE3h+YNMaW8MHUlZntaIiMy6rEufOneOhhx6iXr16HNr0G+vOZvP2nyfRm2/OmKymF+uWhbL017NlHLubwbjC9v7Gk0kIzUYw+I4mTFp2wOl48uD6XEjN5VyKiMly/T5wpUIi9wpwPEg5RA1uNkHearf32/Tp0/n857+596O/OJlpXWb/P0S1J9ZioucH2+jZKJBWdUP4du9ll4MPdzV8gsoDz6Y9SFr+AogiMo03oQ++aZ9Fmixija7hA8nwVSvcFbWXRGkyLiuC8jS6XLFiBc888wyzZs3iySefRBAEHurky+w5czA3H4xZFBya5VYGNb1Yt7SUt4XN4jGdSM/V88qvx9h0KplSjVcEGaIg4/Odl9yuUtSIFqdCYspKIWHJ04j6fJDJCBp0XR+0ug1sfj6ciHzg/3E42eS6Y8O1tmE7L2axK9b1fVtcDV/ufxvIPbaRyMcWogiIQHfpMCk/v0XE+E9R+AQBNbuGDyTDV+0oXNR+Iw1AK5LydOG+kpLJ+LcWcynTwB2v/cjZoEA+33GRBzpG8fXCTwnLPstHT77Hw+99hy6gEQq53CkeImLNdk3NLUH3qhTU9C96Sdxof734zAJ2nEuzG72icbj88/+Sve9nDKmXERRKPBvdRkC/x5Cp3Sv5FMXdDAZA4RdK3RkrMRfkkHt0Pcqg6xmJ1WlgY/s/GC0CyIof8BWOgxf9vDO3f4cx7QpXPrjXYRtDSiya6JZ4NLoNZWAdADwadkTuHYD+6ikUzXoCNbuGDyTDVy0pycVkMwp9moYwpXdMpc70yjpLeLRbPY5cSGDflRwErxaIPgoOJOo4kJiARpHE3A1nKLhQwFf/m0+E2kj8D29w7Owl1p3OsMdDNq77nUceGsrkAW15e+1Jp2715eHy+VNs25ZHly5d8PDwKHmDGkThFjZpf3yILvaotSuCVwC+Xe/Hp+1ATNpkri6e6CSA/i5jaBPlX2I3AFGfh1/3kaijW14TXviAzK1LCBr0lNND25SbQcbf8zEkncecm0GdJ77Gos9zO4MpjNzDB+9W/UhY8jRRT31rTwCrDgMbV62ECn8uYG3Mm7HpCwou/IuAgKZRJ0KGPe/0eYfc+xKivsD+OuWXdzFlJhI26l0KLhwga89KjJ2GovALQxd7BFNGAqqQekDNr+EDyfBVW9pE+dtdTDcr47Io5ZklLN5xAdEiIsiVFLWTNiOpaNCRGX9epqfXPwwZMoTo0AAmh16P4wxb/Tah6fX4adlBduyKRYzsgqBwvlZ3+o9FBbyVgoinPpOXX17EsWPHaN26NT179qRXr1706NGDoKCgsn841YjCRsu36wME3fUMgkKJMT2OpBUvowprhFxjfRAWFUDXmcx8vOksey6kF9sNwCZVBoASfNoORLvre8DZSAqCgEfDjvh1e4CkZc9bj1MGFRLRYsaSr8Wiz0fuYT3v6jCDKU0rodRf3kUV0ZioJ5ciKNUYUy+7/LxlSg1cG6SIoogxPQ5lUDRyTz+8WvXFlJlI8oqXsehykfsEEThoql3/tKbX8IFk+Ko9xQXJKxPb6PTSNy+gTzhjfxjKfYKoM+lzdJf/I/mHmQ4p6YF3Pol3634IJbhwQKDAaGZTui8P9hltX5qYmMgvv/zC0dMX2JW+kUYdehHSqieZ2TInIwrF6z8WRiaXs/SVJwjyfob8/Hz++ecfdu3axYIFCxg7dix16tShV69e9OzZk549e1K/fv1i2zJVJ4q2sLGN+q0ICAiYMhORu5kBiCLsOJuKQm51uxUXhyuMLu44yuC6bpNVfDoMsQ5crlGcRFr+mT0og+uiCIzEUpBD5pavrMb6mtGrDjOY0rQSKrh0CFN2GmGj/2f/vikCIkhdM6fYz1sfdwIsZsIeskoXCoKA/+1j8L99jNO6RQUGaiqS4ZMoF4VHp4F3PoFP24FO6xRtdJn0/Uuk/z3fpZF0V4f122UB+Yefs+v37zmZnEe9uyYhv382fhYzqTIlqdnuz7E4/UcbRb/onp6e9O7dm969ewNgMpk4duwYu3bt4o8//uCFF15AJpM5GMLWrVsjl5dfdutGKE9CUWFcdcRIX7+QvGObEU16VGGN8GjUCUu+9YN2JYAuQomtigpTcOkwecc2EzrqXdLWvF+ikQTHGQzgIJFmykknY8vXWPK1CCoPNHVbE3LfTPu61WEGU5o+h/qrZ1AG1SF97ccUXDiIwj8cuW9IiZ937vHNeDbtgUxVsgu/Kmd/VySS4ZMoM0VHp2XBlZFUBkcT+uBbDnVYGesXEjridXQGMxviod8jL5JyRUaGyWI9bgUUuEPJX3SFQmEX2n766acRRZFLly6xc+dO+6wwMTGRbt262Q3hbbfdVulxwvIkFLnCVUeMoIFTCBwwGf3V0+iuHEOQK5F5+roVQLdVGxSXSWhDf/U0ab9/QPC9L5N3bHOJD213FB7Q+HYaim+noS7Xqy4zmNL0OTTnpKG7dJjAu6YRNHg62f/8gnbHMgIHTHa7X4tRR/7pXYTe/1qJ53Czsr+rApLhkygzRWcJ2m3fot32LcrAOvjfPhZNvTaAc6NL0eI6FlhcHZYgk5HpGcWay7ISa8TKSnm+6IIg0LBhQxo2bMijjz4KQGpqKrt372bXrl28+OKLHD9+nDZt2tjjhN27d6/QOGF5yw5c4a4jhiCTo4luSd6JreQcXodvp2H2eJNNAD1+/lgs+nx7ZmZJcThD0gVSVr9N0OBnkHv4lipZ5UapLjOY0vQ5FBQq5H5h+LS989prNYiQ8NUUBIXSZdwz/+xeZBof1HVbO+3Pvt+blP1dlZAMn0SZKTw6DegzHmVQNIJcSd6pHaSsfpuI8fNcNro0aRPdGsni6rDMIlz91nUssTBpaz8h79gmIid/YRdFdkVFf9FDQkIYPnw4w4cPByAvL88eJ5w/fz5jxowhKirKbgh79uxJvXr1yhUnvNGyg6KU2CHcYrEPQhwoIoAuE4qPwxlSY0n+6Q0CB0zGs3EXsv9dU/qWOeWkOs1gStNKyLvDEITz/9i38W43kJwjf+HXZQQeDTs6toa6Rt6xLXi36uvyXlPIBOQy4aZkf1c1JMNXRbjRWM3NpPAsQR3Z1P63d+t+5J3cTsGFA/h2GurU6DL5p9eJmvKNs5EMiCi2DsuGu1gigC7uBCZtUrHnfbPKPLy8vOjTpw99+vQBrHHC//77j127drFmzRqef/555HK5gyFs1apViXHCounuNkzaZNI3LMRw9TQolHg17UFA/0n2QYJNjLtNlL/9mvPz8/nzzz/5Z8NxxMB2CAo15jwtustH8Yi5DUGhQhd7hLxT2wkeZh10yNRe1gQSXa6DALpaLmASi4/DZW5diiU/i/R180hfNw8AuU8w4aNnAzg9tK3dOKzXKZqNiCaDSyFyV1THGUyp+hwKMrRbvib32Ga8Wvam4MIBLHlaPGI6I/f0c/i8AUw5aeguHyVw4JNOx5MJMLV3Ix7pVr/KPV9uBpLhu8VUVKymPJTX2BY7SxAEcJVjKQgIgszuFitsJJWF4jPu6rCKQ7SYydj4OcF3zyBxydMO78kE0F/+j+F39aNN3aCbUuZRFIVCQYcOHejQoQPTpk1DFEUuXrzIrl272LlzJ5999hlJSUl0797dHifs3LmzU5ywaLq7jfQNC5F7+hP19DIsujySV75KzqG1+HYaZl9HZzIzf8s5hgUm88MPP7B27Vpuu+02Rj8wmnmXNRjMIggCOYf/In39QhAtKPxCCej3OJ6Nu5B3cruTALq9E7og0K6OLwevaB3Oq3AcLnjIdIKHTHf7GRV9aF/58D77ewlfWvtN1nvpT8D6P1XIZMiEW1e/WtHYOrUXN3gACBnxGhkbFpGxYRHKoChC7n/V/l7RRC6FTzD1Xvzd6ViCAHe2CGPGgKZO79UWJMN3C6nIWE1ZuFFjaxudFuRmo084g6Zua5DJyTu1A33ccQL7T0J3+T971pk5J82p0SXg1ki6qsMC97HE7H9/QxPdEtW1Dt+FUcll6JJO8fqACYSFhZXj06p4BEGgUaNGNGrUyB4nTElJsccJn3/+eU6cOEHbtm3thrB5u9vcJhSZspLx7Xi39QHprcKjQUeMaVcc1hFFWH8snmMHFjJmxHA+/vhjQkNDAfjvmvi53NOP8IdnuzxnrxZ34NXiDhfXAo1CvDh+tZj02lJQ9KFtM3KujndnizDeHd76ltWvVgaFu9EX/h8X/Vw00a2InLjgho5VXeKelYnUneEWUZ62LtaYRdkavro+7o3JndlaJOVnZ5Ly05sYM+JBkKEMisK/1xg8GrQn+59fyf7nVyy6PGQePng06oSmQQc8G3UCmZyEr6diSo9HUKgRRQty70DqPPElloIc0tfNQx9/AlG02NUpfDsNc4glZmxcTMT4eQhyBckrXiFi3CfINF5cnn23U4zPcmEvu+dOJjq69M1qbzV5eXns37+fXbt2sWvXLo7og/G87UFQOBdi5xz+C338SQIHTcWiyyVl5ev49xqDZ9PuDuup5AL/d6ez6v7ROGtH+vKIn9viREUzQyuLqtZmqCK5kf9DaamIZ0hNQDJ8twDbDR73yxyX8lAABbFHyNiwGHN2KqrIJgQPmYHCL/SGvvgVaWzL2iLJnJ/lYCQRLXi3uZPA/o+TfeAPsv/9zV6HhcWCR+OuBPadaFenUIU7PqyTV76OR6PO6K8cw6NxF7xb9wNwafi4eozNbzxAo0bVQ6TYFc/8cIg1/7lIMgGMaXGk/fEhhpRLIFrwatWPoCHTXSY03NuuDh+PbOe0vDz3hlouYAESf/vA7X1sMerI3LKE/NO7EC0mVCENCB8zp9THKExteGiX5/8A1lyj4r6K1THuWZlIrs5bgC1W404eSuEbQuqv7xF01zQ8Y25Du2M5qWvmEPHIXHQmMwu3nS9zfzFXiRFX5o5wWEc0GfBpP5jAO5+wLyuaGCGKIkePHkV2aiOisRmUMuFA7ulHxLjrXdCTvn8JZUhdwLEOq+DSIdL/mk/QoKn2+F5RowfY3aQFl4+iiz9J5ral1/f93XME9p9kl8mSm/UYDDcuZH0ryXHToFAULST/9Do+7QYRPvZDLMYC0td+inbbUgL6THBaX1vg+nMoj/h5/WBPTifluL2P1eExZPw9H9FiJvLxRcg03lbjfI0GQZ4kZeurjNh6VaA8/4dx3epxKT3vluv2Vickw3eTKVz87U4eypB0HlVwXbyuKaX79RxNzrzRdr298vQXc5UYUff/Vtn/thgKiP9sLJ7XjlkYncnMu78eoGHCZlatWoXZbOaBBx7gsU6BfH8iv8yjUxuuYnau1Cn8eo6y1pW5iCV6Nb+dwk+H+PljCR3xOspr8T6NQoaYl1LtDZ+7hCJLQQ7m7FR8OtyNoFAiVyjxbtMf7Y5lLg3f2l9+IurV+4iKinL4qVOnDvWiovj47rqsPpXLjvPpxT5ER99Wl8eXHSz2PpYp1eSf20/U1G/tSU3q8OuxpYQsHV+N7cT3/1yWHtqFKK8I/a3U7a1uSIbvJlO0+NuVPJR2+3f2BzeATKVB4R+OIfWKNc5F2fqLlUZpJf/MHuSefqijWzq9J4qwPy6XSLmClStX0r59e7sbrX45unCD+/q/ouoU+Wd2k/b7hyj8w62ahddiiSH3vWpvq1IUmacvsmsaoSLgnXK82hs+W0JR0Via3NMPhV+Ytci8y32IhgJyj212uH9saBQyXpgxibsbTSM+Pt7h599//7X/nZiYSEBEXQI7DsY/rAEqLz/8PFQ0CFQzpEUQLRr68ffldId9u7qP88/sQeEXinbn9+Sd2IrcOwC/HqPxatYDsLrnTiZl33Kx9apIeUTob5Vub3VEMnw3maISUa7koSxGnT1F2YZM7YVosLYZ0ZksHI1No6BzJBqNpsRCaFd6jEXJPbYZLzeFrgAatZpmA8bRoYPjF6u0o9OiffPc1f8VVafwanEHWXt/wr/naDybFMkKdUHhbECbXNWxLaZqb/hs6e6uCLlvJhmbviB73yqQydHUa0Ngv8ec1jOaTPRr4EXdunWoW7eu22OZzWZSUlKKGMczXDyUyhv/BKHFC1NQAxQ+1yW1XN3H5px0jKmX8WzSnainvkV/9TQpP89CFVwXZXC0Q5886aHtGulzqRwkw3eTcSURVVQeSqbUYNHnO6xjMeRbEz+usebvDSyd3Bu9Xo+HhwdeXl54eno6/fb09ORKnT7oPeu7PSdTVgr6uOMEDZ7mdp3imnmWZnRaYt+8azE7ZWgDB3WKa2+6364YbGnbz3ytqvaGz126O4AqrKHbMgQbAhCkT6Rr+1YMHTqUp59+ms6dO7tcVy6XExERQUREBJ07d7aXv/ynspa/YLK4fHAUvY8FhQpkCvx6PGR3VWvqtqbg0iGUwdYM2+rQJ0+i5iEZvptMscXf1+ShlCH1yDu2+fpigw5TZhKqkOuj9AfvGcrHK17DbDZTUFBAXl4e+fn59t+F//7yjJyUPPeHzT2+BXVUC5T+4cWee0kPqeJGp4VddRZdrtv6P5mHr4M6Rf7ZvZhz0lBHNS/22EUpLFelUlV/wwcwtXcMO8+llSvdXaOU89XUB4l6dQRff/01DzzwABERETz99NOMGDEClcp1klJpy18cuHYfezTu4vxeEY9CdeiTJ1HzqBiJe4lSk38tO8+cpyXv5HYshgJEi5mCiwfJO7UdTf12eDbphiHtMnmndyOaDGTt/gFlaH17o8jC/cXkcjne3t6EhYXRoEEDWrVqxW233Ubv3r0ZOHAgMTExyC3FG6y841Y9v5K4kYfUiI7XJchEixntjuXEzXuYuE9Hk3PwT3vMTu7hQ8iI18j+5xfiPh5J9r5VDuoUJSEI1lqvwmnvNcXwtY32Z+bgZngoy/a1LTwICAwM5Pnnn+fChQu8+OKLfPXVV9SvX59Zs2aRlOQo+XY9td690SvuPtZEt0LhG0LW3p8QLWZ08SfRXTmGR8MOQPXokydRM5FmfDeRo3FadlxTS8nYsIj8c/vBYgIE5N4BBPR7HI+GHUj7/QMEuYq03/4HMgXqOs2uy0Phvr+YVqtl37597N69mz179vDvv/8SHR1NZL9HUHi3wCQ6PzB18acw56a7zOYszI0+pAq76oqWNjgdy4U6hSBA1waB+Hkoy5wBqFKp0Ov15T73qkSZ0t0Bi0nPiGZeTmUAcrncLqx9/Phx5s+fT/PmzRkyZAhPP/00msimvLvuNHG/vO+2Rs96EIHMbd9a71mFGkVAuF3mDCDk/ldJ/2se2ftWofANJXjIjFrV6VuiaiIZvpvIgm3n0ZutD2u/nqMJHvqcY+3TtVRvdVRLfDrdQ9pvswke9rxdmguuJ2wEeqk4d+6c3cjt2bOHy5cv07lzZ7p3787//d//0a1bNwICAkjL1dN99mZrm4Mi5B3fjGeT7vZ0c3dUxEPqhlx1Cjkv39WcNlH+Zc4ArCkzPhtlSXfv7JXJq1MeYVLff9wq17Rq1YrFixfzv//9jyVLljBq1CgUfaZgDG1WbI0ecK0tkQd4BxJ097N41G/nsG9VSD0iHpnrdMzq0idPomYiGb6bRNGSAne1T+rwGHw732Nd7KLZqky0cOGPRYTO+B0PDw969OhB9+7dmTx5Mm3atEGpdHRHiqLIpj9/RXfxHLK67ayqKYUIGvRUiedeUQ8pm6uufOox19vLlDXTTa1W1yjDB2VLd087O50HHniA7du3o1ZfW+ZGoHzc5KcY89iT9JizBVEUir1Pweq5COg9jvT1i8p0/pJepMStRDJ8NwlXJQWuap+KRRQJMafy+P0D6fbhmyVqT545c4apU6eSmprKO+/N4719+eVq5lqRD6nyKFPcqGJHTZvxFaY0g4AXXniB/fv3M2PGDCa//F6JAuX1Aj2RyWR2D4G7+zTv9C4EuRKPRp2B0hu+6tQnT6JmIhm+m0TR+j1wXftULIJAt04dePDBdg6Li47ePRUC8cf3s2vZh7z63DM89dRT5OTk8L/FLyJvdTdmSm71Y6MyHlLlVaYoLzXZ8JUGQRBYunQpHUY+w8ZFuzAhFNsN5GxKrsNyl7Wm+ny0278lbOQ7ZTiP2iM9JlG1kQzfTcJV/R441z4V7qHmirTc60kaxbUXEixRBI5bwKngUP69mMKzj97PoK5d6TCsDe/9dfNmW+4ojzJFeanthg/gj1OZKDo9iN5FnLc0FL1PTVkpeLXsi8K/5FZPtVV6TKLqIhm+m0Sx9Xtgr30qid0X0pi8/AANgrz4du9ltwZMlCkwmEU2nEhmw3/xNOk4hI8+mokgCLSNvnmzrZK4GcoUtd3w2QTKr7rpomBIu0L6nx/Z7z9VeAwBAyajCnah7nLtPtXFHceck07O4bXWxfnZpP02G9+uI/DrahU/D/fV0K1hUK2WHpOomkiG7yZRuIDbnKdFd/koHjG3IShU6GKPkHdqO8HXShZEkxFbkxHRYkI0GUCuRBAELCJsOJFcbAuSwogAciVXAjvy/f7LdjdjbdJHrO2Gr6RuIEr/cEKGv4zcLxRECzmH1pK25n3CHnrH7X3q13MUmK9n5yZ+O4OAfo/h0bAjYB1Aje9RX5LbkqiSSIbvJuGgtSgI5Bz+i/T1C0G0oPALJaDf4+Sf3knG3/Mx52mxGb6Ula8DoK7TAmP6FRBkViFpuRLD1VNYdLko/MMJuONRe9JBztH1ZO9dhTkvE3VUC4IGP0OBT5BDeyGoPTqAKpUKnU53q0/jllCabiDq8BhkGm/AKkguCDLr7M/NferpUpFFhkzjjeyarJ5UoydRlZEM302iaAG3K21FdZ3mTiPy0AfexJKnxWLU4dGgA8hkZPy9AP3VU4SPno3cL4SCCwdIXTOHyAnzMWUlo93+HWGj3kMZGEnGpi9I+/0Dwh+eXe5eftUdlUpFVlbWrT6NW0JpuoHYuPLxSKsQuiji1+tht/epK6KmLLH/LdXoSVR1JMN3EympgNvdiNyreS+H9Xw630P+uX32xALPmNtQ+P1/e3ceHGWd53H8/fSRdKBzQ8IVYZVy8ECiASsaVI5QsBSuOysMjEeh6LDsODXr7G55y+AOzmp5rQeiNVpbOAYGy91xWYYZiCgyGcupYhadVRNHGJTcoXMfpNPHs3803UknnZCwK+nu5/OqsipJP8+TVrA/z/M7vt98vA3H6KurYsKchZFrZV67jtpt6/G11uPMnnpOvfwSnZWHOkfTDSTsgh/tJtjXS/enB7Fn5J3z79QePYl3qtV5Ho2m1mLz/pc5+fTN1P1sE3Z3Tsy9fd7qz3AOWHgQ6G7F11LbX8Q6arVL6Gvfqa8BIr38rMTKwTdSN5BAp4fOo/uiXrOluHBf+Zc07332zJD72GiPniQCBd95dlvxLB5eeQlpTvvgQvVA6I684B/eIv/WJ0m7+Johe/v6mk7Q/rtdZC++EwAz4Mez52ncc5fizC3AdWERPVUV9DWdIOjz0v67XwAGpj+0DWKk9kLJKhkrt4zWaLqBDGGamH4vgc7moa8NI1ZxcJF4peAbB7cVz2L3xmKWX5qPLUb4DXdH7muto+mtH5NduhFXweWYZhDP3mfA7iBn2SYA0mYVkrXwFk798qfUbr8LR2YeRmoa9vTcyHWs1gPNyk98odXEthG7KJw+cZS+huOYwQBBbw+tB1/D5nJHeual2A0uzneT6rDhckR/ZLgcNlIdNpZfms/ujcUKPUkImuMbJ+EtBbe//nt+e8wT+6ABd+T+9iYadz1CZsk63JcvwTRNmve9QKC7jbw1WzDs/X+U6UWrSC9aBYCvpZb2D3fjnDwr8rrVeqBZOfgiq4lHWKHZXVVBS/mrBDo9GI4UUqddTN53Hgs1kiVU+WXX3cUAltj+IslPwTfOct2hD5eR9vb5Oz007nooFGhXrgSgZf82fM3V5K/bis3Z/6Fj+vvwtdbhnDSTQMcpmn/9Iunz/wr7meXqVuqBFi7lVl6dxpeTb+De3UeZMyWDNUXW+aDuX00cHHaF5sQ5C5k4TFuqwSs0rbD9RZKfYZqj7qss34BXPjjOc+/+iZ6OVk798l/oazoRuSNPL7qR9MIVtFXspL1iJ4bTFTrpzBwMdieGrb/uZs6Ke5hw0QIayh7A31aPkZKGe24pWdffHjku1WHjw/uXJPUH/0il3MKVaRZ9azLfv2E28wqyxudNnkefVLex7mcfnVM7qDSnnd0bi7VYRZKKgm+cebq8lDz53pAC1t8Ew4Dll+Yn9T6+UNfw8a9FGm/6u6mPtR2UFqtI8tHilnEWHoqKtcLz/1uy76/q/3AfOfQgtOPjtC/A4/sqefOjr87L+xtPZ1tNPJBWaEqy0xNfHPi/DEWNVrLfvY/037Ch7AG8dV9Ehnvt6blM3/hq5HUrDef9saYtbgqUi4wXBV+cOJehqNGwypDexp8fobyyMeaTXkPZA0y8fDHp85bHPNcKQ8CDWaVAuUgsWtUZJ86lM/kd187khKfb8nfvAwsxnwvTxHKl3KxSoFwkFgVfHDnXzuRWv3sfXIg5lrZDO2g7tANnznSyrr8d18wrol4Pl3JTGIgkPw11ximrh9lY3Lv7KO98XDfs6966L3DmFmDYnXRXHqal/BWm3vkCzuypUcd9u3A6z60t/IbfrYiMNz3xxSkNRY1erELMA6VO+1bka/fcpXR//gGnjx/BOf/GQdexVik3EavSdgZJeCMWYo7FMCBGD3urlXITsSoFnyS8cCHmWIK9XZz+8x8w/X2YwQBdn72Pt/pT0i4sijrOSqXcRKxOQ52S8CKFmGMwgwHaDr+Jr6UGDBvO3BlM/ptHcOZMjz4OWH3VjPPwbkVkvCn4JOH1F2Ieuo/PPiGTqXc8N+L5gwsxi0hy01CnJIV7Fs3G5bCf/cAYkr2Um4hEU/BJUphXkMXy/O5Ip/lR8/fx99cXJPUGfxGJpuCTpHD48GF2PvZ3fL94ypgKMRfZvqLssU14vWMMTBFJWNrALgmvsrKSRYsWUVZWRmlpaaQQ84FP6zAMg8CA+7ugz4srLY0lZ6rfXD4tgzVr1jBhwgTeeOMNjDOJGW5iW9XQQUevnwyXw3JNbEWSlYJP4trZAqihoYFrrrmGLVu2sH79+qhzLylcwM33PU23PTNS/ebdt3ew9e4buWn5kshxPT09LFq0iFWrVnHTnT9UE1uRJKfgk7g0mi7qCy/K4cgbj7N68QIeffTRqPNramooLCyksbERu71/0ct9992H2+1m8+bNUcc3NDRQfNs/4bx6HX4MNbEVSWLaziBx52xd1MOFuw9WNWG7+i5mlc4bckx5eTmlpaVRoQdw3XXX8fzzzw85/t2vekktvgVv4Oz3gQOb2AIKP5EEo+CTuDKmvoSGjSA2fvrrSgwjOoAOHDjAsmXLhpxSUlLCrXdtYtt7f+LLU9109PoJBINUVDXQ+Jtt9H71McHeLhxZU8i+YT1pF0X36Gur2EV7RRl567bCrEIe31fFFTOytCpUJIEo+CRufFLdxk/2/JHaX70UM4C8tVW0/fZN+hqOgWHDdcFcspf9LafdOWz5r88pr2zEbrORnurgUKOTBxcuHnL9bYf+TM4d2/jXg18yMFuDfj+O9ElMueUJ7JmTOX38CKf+80mmbXgJR1Y+AL7Wenq+qMDuzomc1+sP8PKhY5ZqYiuS6DTHJ3Fj48+PsP+Tr2n/6N9xzy2NBJBnz1NM2/ASvuZqgr5e0v7iKrDZaDnwCoGuFvLX/vPQi/n7SHW5IgtR/qe2bVRNfgeqe/0HZJZ8l4lzSgBo3L2ZjPk30rx/O7krf0jarEIAUh02Prx/iVZ7iiQIPfFJXAh3UTecLrKuuzXy8wmzr8aRmY+34VgkgMLSi1bRuPPB2Bd0pOD1BznweSMHK5swDPCNYv4uLNDdiq+llpTJFwDQXVWBYXeSdtECYHvUsWpiK5JYFHwSF4broj44gAbyVn+Gc9LQnw9kmuDz9dF84OWYw6d9npM0730Wf2s9AClTZpO19G7aDr6Ge+5SnLkFBL09tH2wg/y1W2P+jl5/kKr6zjH+G4vIeFHwSVyoauiI2rIAYAb8ePY8HQmggbz1X9J66N+wpU7k5LNrosLMDPjw7HkKb/0xAh1N5K3ZMvz8nTuHyX/9IPbMPDCDdPxhL41l95M6/RJylm0CoK1iJxMvWxKZ64tFTWxFEoeCT+LC4C7qphnEs/cZsDsiARTma63j1Ns/Ie3C+eQs/d6QMLOn55A64zLS59+E550nMBwpIw6f2lxuAIJBk57Kw5h9p5n87Ycw7KH/PXq//oRAZzOdR38VOq6nA887T5BRvJrM4tWAmtiKJBIFn8SFgV3UTdOked8LBLrbyFuzJRJAAP72Jhp3PULmwnWkX7ky8vOoMMsqIWPBTaEXbEPL0cYaPj353FpMb3fovVy7Fpuzf6FK/ncfh0Ag8n39jh+RvfTuSDNbNbEVSSwqUi1xYWAX9Zb92/A1V5O3enNUAPk7PTTueoj0olVRoQcjzwUONNzw6bQNL4a+sNnp+P1/cPKZ1Zx8ZjVdn72PPS0Duzs78g+GDZvLjS0lLXRN1MRWJJFoO4PEBU+Xl5In36O7uYHa7RvA7sSw9VddyVlxD/7WetordmI4XVHnFtz7C5re+jGO7KnkrvhB1Gs129YzadU/4pp5RWj4dM9TBL095N38aNSTZJhpBql5/lamfW879olZZ33fhgHLL83XPj6RBKKhTokL/V3Ug8x8YO+wx2UtvCXq+3CYxZoLjD5u+OHTQQdi+r0EOptHFXxqYiuSeDTUKXFjrF3UB4bZwMUosQw3fHr6xFH6Go5jBgMEvT20HnwNm8uNc1LBsNcKS3PaeHjlHJUrE0kweuKTuDGvIIuHV84Zda3OcJjlr9saFWYApt9HaPYtNDfY9fFvwO6k5sXbI8fkrLgHw+6kpfxVAp0eDEcKqdMuJu87j2E4Uob9verOIJLYNMcnceds3RkgtLpzuLlA92WLqXl5A4GOpqhzpm96fcS9eGcTboe0+EwTWz3piSQmBZ/EpXAX9fe/OIVBfyui88lhM1g4exJ2m0GGy8mcqemsvkod2EUSnYJP4lpzl5e3/7uGqvpOOnp9BIImFcc8+IPf7F/b0PzdJRrKFElCCj5JOGPq2XeGwwaGYeAPmuquLmJxWtwiCSccSKNpMzQwyK6YkTXs8Knm70SsQ098krBGmgccKcgGD59q/k7EWhR8kvAUZCIyFgo+ERGxFFVuERERS1HwiYiIpSj4RETEUhR8IiJiKQo+ERGxFAWfiIhYioJPREQsRcEnIiKWouATERFLUfCJiIilKPhERMRSFHwiImIpCj4REbEUBZ+IiFiKgk9ERCxFwSciIpai4BMREUtR8ImIiKUo+ERExFIUfCIiYikKPhERsZT/BSCPZxht5UCVAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.balanced_tree(4,3)\n", "\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Drawing arguments\n", "\n", "It accepts [many possible arguments](https://networkx.org/documentation/stable/reference/generated/networkx.drawing.nx_pylab.draw_networkx.html):" ] }, { "cell_type": "code", "execution_count": 540, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.balanced_tree(4,3)\n", "\n", "nx.draw(G, with_labels=True,\n", " node_size=200, # size of nodes\n", " font_size=10, # text label size\n", " node_color=\"red\", # color of nodes\n", " font_color=\"white\", # color of nodes\n", " width=2, # width of edges\n", " pos=nx.spring_layout(G, iterations=500, k=1.5)\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graph layout\n", "\n", "Node positioning is controled by the `pos` argument, and we can use other [layout algorithms](https://networkx.org/documentation/stable/reference/drawing.html#module-networkx.drawing.layout) other than de default spring layout:" ] }, { "cell_type": "code", "execution_count": 541, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.balanced_tree(4,3)\n", "\n", "# Concentric shells of nodes (can you see what's happening here?)\n", "shell1 = list(range(4**0))\n", "shell2 = list(range(4**0, 4**0 + 4**1))\n", "shell3 = list(range(4**0 + 4**1, 4**0 + 4**1 + 4**2))\n", "shell4 = list(range(4**0 + 4**1 + 4**2, 4**0 + 4**1 + 4**2 + 4**3))\n", "\n", "nx.draw(G, with_labels=True,\n", " node_size=200, # size of nodes\n", " font_size=10, # text label size\n", " node_color=\"red\", # color of nodes\n", " font_color=\"white\", # color of nodes\n", " width=2, # width of edges\n", " pos=nx.shell_layout(G,rotate=-0.15,nlist=[shell1, shell2, shell3, shell4])\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can even have a manual layout:" ] }, { "cell_type": "code", "execution_count": 542, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example adapted from networkx gallery\n", "G = nx.Graph()\n", "G.add_edges_from([(1, 2), (1, 3), (1, 5), (2, 3), (3, 4), (4, 5)])\n", "\n", "# explicitly set positions\n", "pos = {1: (0, 0), 2: (-1, 0.3), 3: (2, 0.17), 4: (4, 0.255), 5: (5, 0.03)}\n", "\n", "options = {\n", " \"with_labels\": True,\n", " \"font_size\": 25,\n", " \"node_size\": 1000,\n", " \"node_color\": \"white\",\n", " \"edgecolors\": \"blue\",\n", " \"linewidths\": 3,\n", " \"width\": 5,\n", "}\n", "nx.draw(G, pos, **options)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Coloring\n", "\n", "You can use different colors for different nodes (and the same could be done for edges):" ] }, { "cell_type": "code", "execution_count": 543, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.karate_club_graph()\n", "\n", "# Give colors using already defined communities in attribute \"club\"\n", "colors = []\n", "for _,att in G.nodes.data():\n", " if att[\"club\"] == \"Mr. Hi\": colors.append(\"red\")\n", " elif att[\"club\"] == \"Officer\": colors.append(\"blue\")\n", "\n", "nx.draw(G, node_color=colors)" ] }, { "cell_type": "code", "execution_count": 551, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.read_gexf(\"matrix.gexf\")\n", "\n", "# Give colors using communities computed with greedy modularity optimization\n", "coms = nx.community.greedy_modularity_communities(G)\n", "\n", "colors = [\"black\"] * G.number_of_nodes()\n", "use=[\"red\",\"green\",\"blue\",\"orange\",\"yellow\",\"cyan\",\"brown\",\"gray\"]\n", "for i in range(len(coms)):\n", " for v in coms[i]:\n", " colors[list(G.nodes).index(v)] = use[i] # slow but just to demonstrate\n", "\n", "nx.draw(G, with_labels=True, node_color=colors, font_size=10, width=1, edge_color=\"gray\",\n", " labels=nx.get_node_attributes(G, \"label\"))\n" ] }, { "cell_type": "code", "execution_count": 545, "metadata": {}, "outputs": [ { "data": { "image/png": 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Rm0uJ+zOrV4eDByPyfUrsUfGJSIUzDIMNGzYUlODixYtp2bIl/Tp35o9vvYWj0ORyw+HAf/nlLBw9uqDg1qxZw5YtW2jatClt27alXbt2tG3blksTEqhz443YCp3q9AHHBg2i9gcfWPCdSixQ8YlIxPn9fr799lsOvfgi133xBUnhcJHHg0Cf7t1p3b59QcldeOGFJCYmlnyx8ePNVVjcbvD72deiBZfv2sXbU6bQMwamXUjkaZFqEYk4t9tNt27d6HvHHSQlJZV4PARs2rKFzMxMsrKy2LdvH8eOHSv9xe67z5xUP3s2pKdT53//4/1Zsxg8eDCTJ0+u2G9EYpKO+ETEOsePw3nnwdGjJ8cSEzH69+fH0aNJS0sjLS2N1atXk5aWhtfrpUOHDkU+6tatW+pLb9iwgeuvv54HH3yQP44Yge3zz2HrVvjVr8yPCtzhW6Kbik9ErLVqFeEBA8jPzCQxIQFbnz4waRIU267GMAy2bdtWUIYnPjweT4kyrFevHgBZWVkM6tmTmXv2UCscxpafby5Vdt115ma09nI86eXzwbx5EA5Djx7mmqASlVR8IuViEvBXYB/QCRgHXGRpoliSsXkzd/XowbL09DNaONowDDIzM0uUYUJCQkEJ3r50KefPn4+r8I86r9e8m7Rv3/L5BlauNMv0xLVKw4BPP4Vu3c7+NQ0Dpk83r2GCeUr3N785syPVPXvg1Vdh1Sro1Mm8FlqnztlnqiRUfCLnbArweyC30FgqkAHUtiRRTPnuO34cO5Yvli/nwcWLz/kHs2EYbN++veAU6aOvvELN4hvRAstbtmTmTTeRnJyM1+st02ePx4O9+FFiOGxO7t+zp+h41armXolnuxj2//t/8MYbkJNj/tnrhQcegJdeKtvzd+2Cdu3M08l+v3nzT2oqrF1rLu0Wx1R8IuesFbCp2Fgi8DTweOTjxJJRo+Bf/yKcl0fQbsft8cBXX5nLpZWXdu0gPb3IUNBuZ8011zCvRw+ys7PJyckp02efz0dSUlKRQmxrszF+/XqSii3o7XO7eW/QIPY1b05iYiIJCQlFPpc2duKzJzeXOh06mKdmC0tMhJ07zQn6v+SRR+DNNyEQODnmcsHDD8PLL5/tv81KoYLXExKJB/tLGfMBOyMdJLZs2QJjxoDPhx3MnSCys+Huu2FT8V8kzsGoUXDPPZB78og8PxzGd+edPDFkyBm9VCgUIjc3t0ghBjdtImHIEHPT3kLsAF4veXl5HDlyBJ/PR35+Pj6fr8g/lzZ20fHjvJ+fT5Vi73/E56NP7dp8a7MVrIJzqs/LAgE6FD+uCQTMjYXjnIpP5JxdjWF8jM1WeC5aMqA5ZKe1aFHpN5ds3QrHjpmn5crDwIHmkmijR5vLmLVuzeb776ffH//I33Jzuf/++8v8Ug6Hg5SUFFJSUk4OtmsHL75orml6Yuk0hwN3kyb8/vXXz+7u0QMHzLtdi+2OUSUxkUXbtmH8fMR34oRdaZ+dw4ZhvPsutsKF7HTCJZeceZ5KRqc6Rc7Zdo4ebUliYpiEhADgBa4FZqGpsqcxZw4MGmRegyosKcmc3lARC1yHwwVlu2XLFvr06cP111/Pyy+/jKOs64OWZu9es2CXLzf/3L69edfouWzb9Nhj8NZbRa/x3Xcf/POfZXv+1q1myWVnm9+3wwHJyWZBN2589rkqgQr/W3n48GGGDRtGvXr1aNGiBW+99RbqWqlMPvlkDd27N8Ru/xfwF8zC+xiV3i/o1ctcl7NwwSUlwfDhFVN6UOQIs1mzZnz77besXbuWm2++mWO7d5unXvv0gT/+0byWVlZ165pHsLt3m4t6r1hxbqUH5nW4t9+G7t3Nu0PffhteeaXsz2/a1NxxfvBgaNMGhgyB1avjvvSggo/4wuEwbdu2JSMjA//Pa/F5vV6efPJJ/vznP1fU24pEzPHjx2nTpg2TJk3i6quvtjpO7NmzBx56CL74wjyieeQRePLJ8p1f9wsCgQB/GDqUP0yeTGO7HbvPZ94BmZhoHsG1bh2xLBIZFVp88+fP55ZbbiE7O7vIeEpKCocOHar4vbpEKoQB7AGq8PDDI8nJyWHChAlWh5JzYPz73wQeeQR3ocWysdngxhvNpdCkUqnQ5snMzCRcbPFZAJ/PR05ODlWqFL9nSSTaLQKGAD8RDoe57DIHffpsszqUnCPbkiVFSw/MCeQrV1oTSCpUhZ5P6NKlS6nX8+rXr09qed2xJRIxe4FfY05T8GG3+7n99hDVq//L4lxyztq1A4+n5HjLlpHPIhWuQouvdevW3HXXXXh/XnPP5XKRlJTE22+/feqdmEWi1keY+wac5HT6gX9bkkbK0b33mnc8Fr/R5vnnrcskFabCpzMYhsH8+fOZPn06NWrU4J577uGCCy6oyLcUqSDPAaMpXn7goehyZRKTsrLg73+Hr7+G5s3hr3+Fyy+3OpVUAM3jEymzdcDlQF6hMSfQF5hqSSIROXOaaCRSZhdhGE+Rn28jGPRgrs7SDHMnBhGJFSo+kTOwZElnevZsit0+AfgMWI92YBCJLZpIJ3EiCBwFqnEuv++NGzeO/v0fwW6/rbyCiUiE6RqfxIFXgL8B+UB14HXg1jN+lV27dnHRRReRmZmpOagiMUynOqWS+wjzTszjgB9zLt4QYM0Zv9L48eO57bbbVHoiMU5HfFLJXQakFRkxDDs22++At8r4GgH8fh+NG7dg3rx5tGnTprxDikgE6RqfVHLHSozYbGEWLfqYr76qSceOHenYsSMNGjQo5bnHgd8Bs3A6Q/zf/6XSpk3VCs4rIhVNR3xSyf0FeBlzR3RTOJxEWtrDfPqpi1WrVrFq1SrcbndBCZ74qF59MLAA89oghMN27PZmwEZAKw+JxCoVn1RyOUAPzMnnBhAG+gGTOHGJ2zAMMjMzC0rwu+++Y8eOVWzYkENCQvHXSwbmAr+K1DcgIuVMxSdxwACWARmY1/wu+sVnhMObgEuw2/OKPZIKfAhcX84ZRSRSVHwipQoDjYBdxcaTgH2YR34iEos0nUGkVHZgKn5/Anl5ToLBRPLybPj9/0GlJxLbVHwip2AYnenevTlbtjyG0/k6w4Zdz6uvZlkdS0TOkU51ipRqP999t5aBA+8jIyMDu93Opk2b6Nq1Kxs3bqRGjRpWBxSRs6TiEyliPTAA+JFAIMC2ba1o0WI5kALAgw8+iNvtZsyYMVaGFJFzoOITKZAPNAQOYt4JCobhxmb7NTATgH379tGmTRtWrFihDZVFYpSu8YkUmIu5nufJ3wVtNj/m9kPZANSpU4cRI0bwpz/9CbMg90Y+poicExWfSIEcCpfeCcFgkJUrFxMOhwH4wx/uZPjwWYTD9YAmQHtgS+Riisg50alOkQKHME91npy0bhg29u6tTa9etTh06BB9+/blmWcWk5KyHocj9PNX2YEGQCb6XVIk+ulvqUiB6phLmXkwb2ZJxWarTb16i1i7di0LFy6kZcsUPJ61hUoPzMnuRzBXhxGRaKcjPpESDmMuTp0MXAO4Cj22FbgYyC32nFRgGtArEgFF5Byo+ETOiAE0wyzAwpKB/ZhHiyISzXSqU+SM2IBZQE0glfz8BHw+J+Z0B5WeSCxQ8YmcsbaYi1dPxef7Dxdc4OXgwUutDiUiZaTiEzkrbuA6qlQZQo8eNzNx4kSrA4lIGekan8g5WrVqFQMGDGDLli04HA6r44jIL4j4Ed/27dtZsGABBw4ciPRbi1SIjh070rJlVX74YRjwPLDB6kgichoRO+ILBoPccccdfPLJJyQkJJCfn88TTzzBU089FYm3F6lA3xAI9CIcDpCQYMec/vA08JjFuUSkNBErvpdeeomnnnqK3NyT85+8Xi8ff/wxPXr0iEQEkQpgYO7UXnyfvkTMKQ/1Ip5IRE4vYqc6J06cWKT0AHJycnjnnXciFUGkAuwBSjtt7wIWRziLiJRFxIrP6XSWGLPZbKWOi8SOKpS2sLWpbiSDiEgZRaz4hg4dSlJSUpExj8fDvffeG6kIIhXAC9xJ0cnrTqA+0NWSRCJyehErvgceeIC77rqLxMREUlNT8Xg8PPfcc1x55ZWRiiBSQV4HHgaqYl7buwX4Bk2TFYlOEZ/Hd/DgQXbs2EGLFi3wer2RfGsRERFNYBcRkfiiczEiIhJXdEtlFAsCXwM5wNWYO76JiMi5UfFFqc1AN05udxoEpgA3W5ZIRKRy0DW+KNUeSKfoDLEkYDfmzDERETk7usYXhX4CfqDktGh7OMy8X3huAHNL1OeAL4Fw+ccTEYlpOuKLQkeB2oC/+APHjlF92DC65ebSqVMnOnXqRIcOHUhJSQHgCPArzC1S8zCnVF8KzMXcPU5ERFR8UasPZmEVLr9ahsE327bx/YoVrPj5Iz09naZNm9KpUyd2DR/OgrZt8dtPHsh7gX8BWh9HRMSk4otSR4DbgfmY56ObANOBNsW+zu/3k56ezooVKxjVty/H6tcv8Vo3AJ9VaFoRkdih4otyhwAf5sqPv+QaYGHxwUCAy9et47PzzqNmzZrlHU9EJObo5pYoV52ylR7AKMw7PwtLtNtpMGMGzZs359577yU9Pb3E8/KB/wH7ziWoiEiMUPFVIj2AdzBPizowT4t+7nAw85ln2Lx5M02bNuX666+ne/fuzJo1i1AoxEdALeCqn583ALMIRUQqK53qjDOBQIAZM2YwduxYtrvd/DR3LgGXq+BxD/AQ8A/LEoqIVCwVXxy7PyuL/9Sti1FsM+BawH5rIomIVDgtWRbH6jRsiB0IFRsv/mcRkcpE1/ji2ABKmdju89FoyRL8/hLT50VEKgUVXxy7CPgn5nW9Kj9/7mq3U3/sWLp06UJGRoal+UREKoKKL84NBfZgru/5PbDY7eb/PvqIe+65hy5dujBp0iTeNgzOwyzGa4GNFuYVETlXurlFTmnt2rVc9+GH7P/LXwglJgJgwzw6/BFzjqGISKxR8clpNQmH2W4vemLAA7wIDLckkYjIudGpTjmtg/aS/4vkATsjH0VEpFyo+OS0rqLk/yRezFViRERikU51ymn9iLnHXx6Qg1l6NwAfYV7vExGJNSo++UXHMItuJ3A10B2VnojELhWfiIjEFV3jExGRuBJTxXfgwAF++OEHgsGg1VFERCRGxUTx+Xw+Bg4cSMOGDbn88supU6cOc+bMsTqWiIjEoJi4xjdixAjGjx9PXl5ewZjH42Hz5s00bNjQwmQiIhJrYuKI77///W+R0gMIh8NMnTrVokQiIhKrYqL4QqGSO8SFw2FtnSMiImcsJorv1ltvxe0uunOc0+mkb9++FiUSEZFYFRPFN3bsWNq1a4fX6yU1NZXExETGjBlDy5YtrY4mIiIxJiZubjlhzZo17N27l06dOlG1alWr44iIWOvYZlj3DBz+Hmp0gov+DMlNrE4V9WKq+ERE5GfHMuCLDhDKBSMENic4k+HXayFJd7ufTkyc6hQRkWLWP3Oy9ACMIARz4IdXrM0VA1R8IiKx6PD/TpbeCUYADq22JE4sUfGJiMSimp0JGcV+hNvdUKuLNXliiIpPRCTGGIbB2PnJHPeBYXOZg/YEcFWFVo9ami0WOK0OICIiZRcOh3n00UdZtGgRg2anYTv4Phz6Dmp2hlYjILG21RGjnu7qFBGJZr4DEDwG3vMJBIP89re/Zfv27Xz66aea1nWWdMQnIhKNAtmw7HbY8xXYHIRdVRk5uzFHj9bgyy+/JCkpyeqEMUtHfCIi0WjpYNg5HcL5BUN5QSfO3+zBlVTTwmCxTze3xDjDMFi6YylvrnqTRZmL0O8xIpVAOAg7pxYpPYDExERc+z63KFTloVOdMcwf8tNnSh+W7VxGyAjhtDtpV6cd8+6cR6Iz0ep4InLWDAwjjK3YqM0IQ8hnSaLKREd8MWzC6gks3bmUnEAOvqCPbH82q/esZtzKcVZHE5FzsGjxMr79MYFguPgjYWjQx4pIlYqKL4ZN3TCV3EBukbG8YB4frfvIokQici5++ukn7r77bgYPHsyR1v/CkdrcXH/TlQoOD3SaAJ56VseMeTrVGcNqJdXChg2Dotf1anp14VskloTDYSZMmMCf/vQnhgwZwoYNG0hJSQHjXjiwHPyHoPaVZgHKOVPxxbAHOzzIjLUzMBwniy/JlcTjnR+3MJWInNL+b2D7VHClQNN7ILU56enpDB06FMMwmDt3Lu3atTv59TYb1OpsXd5KStMZYlQ4HGbw4MFscm5iT7s97M/ZT42kGrzc82WGtBtidTwRKe77J2DzOAjlgc2BYXcxcdN1jBy3lGeffZZ7770Xu11XnyJBxReDDMNg+PDhrF+/ns8//5zExETygnl4nB5stuL3gYmI5XK2w6etIFz0jsyj+Ynk37CN2nXqWhQsPulUZwwaPXo0y5cvZ+HChXg8HsA8xSkiUerAcrC7ShRflSQbpIRO8SSpKCq+GDNmzBimTZvG4sWLSU3VhW6RmOBtTDAYKP0Hrrt6pNPEPZ1QjnIHcw9yxHcEgEmTJvHqq6/y1VdfUatWLWuDiUiZ5OTkcP+fJrIhK0wY18kHHEnQ4kFweqwLF6d0xBeldhzdwYBpA/h+7/cAtPK0Yu+4vSz6chGNGjWyOJ2IlMXKlSsZPHgwnTt3pvE9W7BnvgQ7ppql1/Jh80MiTje3RCHDMGgxrgXbDm8jZPx8/j8EbWu2Zc3Da075vKxjWYxPG0/mkUx6N+tN/wv743K4Tvn1IlIxgsEgzz77LG+88Qbjxo2jf//+VkeSQnTEF4XS9qSxN3vvydIDcMDmY5vJPJxJk2pNSjwnfV86XSd2xR/ykx/KZ+YPMxmfNp75d87HYXdELrxInNuyZQuDBw8mNTWV1atX06BBA6sjSTEqviiU7c/GVmJ5WvDl+biw/YWcn3w+jRs3LvLx4v4XOe4/XvC1OYEc0vak8VnGZ9zU8qZIxheJDz8thbQRcHQ9JDfFaP8Sb8/JYuTIkYwePZrhw4drXl6UUvFFGcMw2LV8F9nHsyGh6GMNajRg7Zq17Nyxk+3btxd8pKWlkd4qvcR/zWx/Nkt3LFXxiZS3oz/AgusglPPzn9fjn9+HZbObsmjRItq0aWNtPjktFV8U+fHHH3nwwQfZtWsX/3z2n/x53Z/N05QG2G12Zg2cRbWq1ahWtRpt27Yt8txW41qx6eCmImNel5dm1ZtF8lsQiQ8bx5SYk+dyhHn70QtwqPSino7Do0B+fj5PP/00nTp14tprr2X16tWMuGkEex/fy39v/i+Tb53Mnsf30LFBx1O+xvPXPk+S8+QkdqfNSYo7hUEXDYrEtyASX3IywSg68dxuA4cvy5o8ckZ0xBchYSPMJ5s+YdbGWdTx1uH+DvdzQfULWLBgAQ888ACtW7dm9erVRaYqJLuTubX1rWV6/b6t+zK1/1SeWvQUu4/vpsf5PXju2udISUipqG9JJH41uJHA7q9x2QMnx+wJUP/X1mWSMtN0hggwDIOB0wcyJ2MOOYEcXHYXTruTKzKvIGNuBmPHjuWmm3QdTiQWGIbB00+N4taUMVzY0Ik9nGPumZdYB3qvAnc1qyPKL9ARXwSs3LWyoPQAAuEAgXCA1fVXs2P9Drxer8UJRaQsDMPgscceY8GCBQz94kfsgRVwKA1SL4RG/cCRaHVEKQMVXwQsz1pOMBwsMX7YfpgET0IpzxCRaBMKhXjggQdIT09n4cKFVKtWDbgVzivb5QiJHiq+CGharSluh5v8UH6R8RpJNXDYNLlcJNoFAgHuvvtudu/ezdy5c83d0SVmqfgi4Prm11M3uS75R/Lxh/2AuY3Q37r9TfvniUSjcAgIg91Ffn4+AwcOJBAIMGfOnIKtwCR26eaWCDmUd4jRC0cze+NsqidVZ2TXkZpqIBJtQj747mHY9i4YQUI1ruDufxv4HHV4//33cbvdVieUcqDiExE5YdmdsHOaWYBAMAxH871UGXIQp1vX4ysLTWAXEQEIZJtbBoVOrsjitEP1FDvOg99YGEzKm4pPRAQglItByRNgNoD8gxGPIxVHxScicc/v9/Pafz5k675QyQfDAah7TeRDSYVR8YlIfMg/BLm7oNBtDeFwmClTptCqVSs+//wLQp3eA1cVcCYTIgFfwEbokjGQWNvC4FLeNJ1BRCo3/1FYdjvsnQfYwdsYo+tUvlyxm5EjR+J2u5k4cSLdu3c3v75DH8iajT1wnCGPTuLXRiJ3t7TyG5Dyprs6RaRyW3QT7PkSfp5DawDHfE6ueLkJf3/mH/Tt2/eU82kXL17MXXfdxaZNm3C5XBEMLRVJxScilVfgOMyoWVB6J/iNRBxXfoij0c2/+BK9evXiN7/5Dffdd19FpZQI0zU+Eam8ihXeCW6XCwelP1bc3//+d2b/dzTBVY/C90/AkXXlmVAsoCM+EancPr8UDv8PCk9VcHig725wV/3l52/8F76Vf8DtMLDb7WB3Q8d/Q9M7KyiwVDQVn4hUbscyYF43CGYDNjCC0GUynNf3l5/rPwwz60PYV3TcmQz9ftI2RDFKd3WKSOWW2hxu2QH7F5nlV+dqcKWW7bmHvgdHQsniwwbHNkK19uWdViJAxScilZ/dCXWvPfPneRuVfp0wHABP/XPPJZbQzS0iIqeS0gxqXwX2Qqc0HR5z81lNao9ZusYnInI6wTxY+1fY9h7Y7NDsPmgzCuya1xerVHwiIhJXdKpTRETiiopPRETiiopPRETiiopPRETiiopPRETiiiawn4NQKMSXX37Jxo0bufTSS+nWrdsptzcREZHooOI7S8ePH6dr165s3boVv9+P2+2mc+fOfPbZZ9q3S0QkiulU51l68cUX2bRpE9nZ2fj9frKzs1m2bBmTJ0+2OpqIiJyGiu8szZw5k/z8/CJjOTk5TJ8+3aJEIiJSFiq+s1S7dsl1+hwOB/Xq1bMgjYiIlJWK7yw9+eSTJCUlFRlLSEjg4YcftihR5bJ9+3a+++47/P6y7ZItIlJWKr6zdN111/HWW28VHOFdcMEFzJw5k7Zt21qcLLZlZ2fTq1cvWrVqxTXXXEOtWrWYPXu21bFEpBLRItXlIBwOY7frd4jycM899zBlypQi1089Hg8ZGRk0aNDAwmQiUlnop3U5UOmVnw8//LDETUOGYTBjxgyLEolIZaOf2BJVwuFwiTHDMEodFxE5Gyo+iSr9+/fH7XYXGbPb7fTr18+iRCJS2aj4JKqMGzeOTp064fF4SE1Nxev18s4773DeeedZHU1EKgnd3CJRafPmzezfv58OHTrg8XisjiMilYiKT0RE4opOdYqISFxR8YmISFzRtkQi5SwzM5MPPviAQCBAv379aNOmjdWRRKQQXeMTKUezZ8/mtttuIxQKEQ6HcblcvPzyywwbNszqaCLyMxWfSDkJBALUqVOHw4cPFxlPTExk9+7dVKtWzaJkIlKYrvGJlJOMjAwCgUCJcbfbzcqVKy1IJCKlUfGJlJPatWuXWnzBYJD69etbkEhESqPiEyknNWvWpG/fvkUm3Lvdbtq3b8/FF19sYTIRKUzFJ1KO3nnnHYYPH06NGjVITU3lzjvv5PPPP7c6logUoptbREQkruiIT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4oqKT0RE4sr/B61LbpN4a3UCAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.erdos_renyi_graph(50, 0.025, 20)\n", "\n", "# Give colors for connected components with more than one element\n", "comps = nx.connected_components(G)\n", "\n", "colors = [\"black\"] * G.number_of_nodes()\n", "use=[\"red\",\"green\",\"blue\",\"orange\",\"yellow\",\"cyan\",\"brown\",\"gray\"]\n", "cur_color = 0\n", "for cc in comps:\n", " if len(cc) > 1:\n", " for v in cc: colors[v] = use[cur_color]\n", " cur_color += 1\n", "\n", "nx.draw(G, node_size=30, node_color=colors)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gallery of graph drawings\n", "\n", "The documentation includes an extensive [gallery of example drawings](https://networkx.org/documentation/stable/auto_examples/index.html#drawing) with downloadble code.\n", "\\" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other Features\n", "\n", "Here we have just given a brief overview of NetworkX.\n", "\n", "Here are some areas not explored here that could be of interest to you (among others):\n", "\n", "- **Efficiency**:\n", "\n", " - The documention of algorithms will often include the ***complexity** of the associated function and an associated paper. \\ \n", " Sometimes there might be different versions of the same function. See for example: [fast_gnp_random_graph](https://networkx.org/documentation/stable/reference/generated/networkx.generators.random_graphs.fast_gnp_random_graph.html) _vs_ [gnp_random_graph](https://networkx.org/documentation/stable/reference/generated/networkx.generators.random_graphs.gnp_random_graph.html)\n", " - There are **approximation** versions of some algorithms that trade accuracy for better execution times. \\\n", " See the [Approximations and Heuristics](https://networkx.org/documentation/stable/reference/algorithms/approximation.html) section of the documentation.\n", "\n", " - There are **parallel** and **GPU** backends for NetworkX that might provide faster alternatives for part of the library. \\\n", " See the [Backends](https://networkx.org/documentation/stable/backends.html) section of the documentation.\n", "\n", "- **LaTeX** integration:\n", "\n", " - If you writing a paper in LaTeX you can export a NetworkX graph drawing using TikZ in such a way that you can then include the drawing with very high quality and resolution. \\\n", " See the [LaTeX section](https://networkx.org/documentation/stable/reference/drawing.html#module-networkx.drawing.nx_latex) in the documentation.\n", "\n", "- **Linear Algebra**:\n", "\n", " - There are functions related to a linear algebra interpretation of graphs that allow you to approach the networks from a spectral graph theory perspective.\n", " See the [Linear Algebra](https://networkx.org/documentation/stable/reference/linalg.html) section in the documentation.\n", "\n", "- **Algorithms**:\n", "\n", " - The algorithms section is vast and includes many areas that were not discussed in this notebook, such as graph isomorphism, graph distance and graph minors; flows, matchings and cuts; link prediction; cliques and cycles; tree and DAGs related computations such as LCA and arborescence, etc. \\\n", " See the [Algorithms](https://networkx.org/documentation/stable/reference/algorithms/index.html) section in te documentation.\n", "\n", "- **Contributing to NetworkX**:\n", "\n", " - You can contribute to NetworkX as a developer and help implement new functionality or improve the existing code.\n", " See the [Developer](https://networkx.org/documentation/stable/developer/index.html) section." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }