{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "ddeeaed1", "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", "import scipy.sparse as ss\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", "import matplotlib as mpl\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": "code", "execution_count": 2, "id": "5c5ec074", "metadata": {}, "outputs": [], "source": [ "path_data = \"../Data/\"" ] }, { "cell_type": "code", "execution_count": 3, "id": "b5a40cd5", "metadata": {}, "outputs": [], "source": [ "def plot_network(G, a0 = None, values = None):\n", " \"\"\"\n", " Plots network with nice defaults\n", " \"\"\"\n", " if values is None:\n", " values = nx.degree_centrality(G).values()\n", " \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", " mapper._A = []\n", " cb = plt.colorbar(mapper, ax = a0, location=\"bottom\", shrink=0.8, pad = 0.02, label = \"Value\")\n", " cb.outline.set_visible(False)\n", "\n", " # NEtwork\n", " if nx.is_bipartite(G):\n", " top = [_ for _ in G.nodes() if _[0] != \"S\"]\n", " pos = nx.bipartite_layout(G, top)\n", " node_color = [\"#e6af2e\" if node in top else \"#e0e2db\" for node in G]\n", " else:\n", " pos = nx.spring_layout(G, seed = 1)\n", " node_color = [mapper.to_rgba(i) for i in values]\n", "\n", " nx.draw(G, pos = pos, with_labels = True, node_size=500*np.array(list(values)), edge_color = \"darkgray\", \n", " node_color = node_color, ax = a0)\n", " \n", " \n", "def plot_network_adj(G, values = None):\n", " \"\"\"\n", " Plots the graph (with color/node size adjusted according to values) and the adjacency matrix\n", " \"\"\"\n", " f, (a0, a1, a2) = plt.subplots(1, 3, gridspec_kw={'width_ratios': [1, 1, 0.5]}, figsize=(12,4))\n", " \n", " # Plot network\n", " plot_network(G, a0, values = values)\n", " \n", " # Show adjacency table\n", " df = nx.to_pandas_adjacency(G, nodelist=list(G.nodes()), dtype=int)\n", " plot_table(a1, df.values, df.index, df.columns)\n", "\n", " A = nx.to_scipy_sparse_array(G, nodelist=list(G.nodes()), weight=1)\n", " N = len(G.nodes())\n", " \n", " # Plot table as a heatmap\n", " a2.spy(A)\n", " sns.despine(bottom=\"True\", left=True)\n", " plt.grid(True)\n", " a2.set_xticks(range(N), G.nodes(), rotation=90)\n", " a2.set_yticks(range(N), G.nodes())\n", " \n", " plt.tight_layout()\n", "\n", "def plot_table(a1, cellText, rowLabels, colLabels):\n", " \"\"\"\n", " Plots a table in a figure\n", " \"\"\"\n", " cellText = pd.DataFrame(cellText)\n", " the_table = a1.table(cellText=cellText.values, rowLabels=rowLabels, colLabels=colLabels, loc='center', colLoc = \"left\", cellColours=(cellText>0).replace({False: \"white\", True:\"#e6af2e\"}).values)\n", " a1.axis(False) \n", " the_table.scale(0.8, 1.6)\n", "\n", " \n", "def adj_to_net(A, d_names = {0: \"Alice\", 1: \"Bob\", 2: \"John\", 3:\"Amy\", 4:\"Mike\", 5:\"Rose\"}):\n", " \"\"\"\n", " Create graph from adjacency matrix, rename nodes\n", " \"\"\"\n", " G = nx.from_numpy_array(A, create_using=nx.DiGraph())\n", " G = nx.relabel_nodes(G, d_names)\n", " return G\n", "\n" ] }, { "cell_type": "markdown", "id": "c9ebce92", "metadata": {}, "source": [ "# Let's start by example networks and visualize them\n", "- Note the `create_using` parameter. What is it doing?" ] }, { "cell_type": "code", "execution_count": 4, "id": "7d193e37", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Small directed network to understand matrix multiplication\n", "G_dir = nx.from_edgelist([\n", " (\"Alice\", \"Bob\"),\n", " (\"John\", \"Alice\"),\n", " (\"Bob\", \"John\"),\n", " (\"Amy\", \"John\"),\n", " (\"Mike\", \"John\"),\n", " (\"Rose\", \"Alice\"),\n", " (\"Mike\", \"Rose\")\n", "], create_using=nx.DiGraph())\n", "\n", "plot_network_adj(G_dir)\n", "\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "54585c50", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Small undirected network\n", "G_undir = nx.from_edgelist([\n", " (\"Alice\", \"Bob\"),\n", " (\"John\", \"Alice\"),\n", " (\"Bob\", \"John\"),\n", " (\"Amy\", \"John\"),\n", " (\"Mike\", \"John\"),\n", " (\"Rose\", \"Alice\"),\n", " (\"Mike\", \"Rose\")\n", "], create_using=nx.Graph())\n", "\n", "\n", "plot_network_adj(G_undir)" ] }, { "cell_type": "code", "execution_count": 6, "id": "51a04468", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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personchildren
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" ], "text/plain": [ " person children\n", "0 Alice 2\n", "1 Bob 0\n", "2 John 2\n", "3 Amy 0\n", "4 Mike 1\n", "5 Rose 5" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create some metadata (number of children)\n", "df = pd.DataFrame([[\"Alice\",2],\n", " [\"Bob\",0],\n", " [\"John\",2],\n", " [\"Amy\",0],\n", " [\"Mike\",1],\n", " [\"Rose\",5]], columns=[\"person\",\"children\"])\n", "\n", "df" ] }, { "cell_type": "markdown", "id": "7c01b51a", "metadata": {}, "source": [ "# Exercise 1\n", "__Goal__: Compare different ways to represent matrixes and convert between them \n", "\n", "Start from the `G_dir` network" ] }, { "cell_type": "markdown", "id": "6f409eee", "metadata": {}, "source": [ "## 1.1 Convert the directed network to different formats\n", "- numpy_array\n", "- scipy_sparse_array\n", "- pandas_adjacency\n", "- pandas_edgelist\n", "\n", "What are the advantages of each?\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "7cabece8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<6x6 sparse array of type ''\n", "\twith 7 stored elements in Compressed Sparse Row format>" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Example: \n", "A = nx.to_scipy_sparse_array(G_dir, nodelist=list(G_dir.nodes()), weight=1)\n", "A" ] }, { "cell_type": "markdown", "id": "362161a0", "metadata": {}, "source": [ "### 1.2 Use plt.spy() to visualize the scipy_sparse_array" ] }, { "cell_type": "code", "execution_count": 8, "id": "a8f0b56d", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.spy(A)" ] }, { "cell_type": "markdown", "id": "764792ab", "metadata": {}, "source": [ "## 1.3 Create a network object from the pandas adjacency list (edgelist)\n", "\n", "Now starting from an edgelist (created below, `df_edg`), convert it to a graph. You have done this before in the morning" ] }, { "cell_type": "code", "execution_count": 9, "id": "c6ac3f23", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n", "
" ], "text/plain": [ " source target\n", "0 Alice Bob\n", "1 Bob John\n", "2 John Alice\n", "3 Amy John\n", "4 Mike John" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Starting from an edgelist\n", "df_edg = nx.to_pandas_edgelist(G_dir, nodelist=list(G_dir.nodes()))\n", "df_edg.head()" ] }, { "cell_type": "code", "execution_count": 10, "id": "88866f25", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Convert to graph and plot\n", "G = nx.from_pandas_edgelist(df_edg, create_using=nx.DiGraph())\n", "\n", "plot_network_adj(G)" ] }, { "cell_type": "markdown", "id": "7da7ed82", "metadata": {}, "source": [ "## 1.4 Create a network object from a adjacency matrix\n", "\n", "Now starting from an adjacency matrix (created below, `A`), convert it to a graph. " ] }, { "cell_type": "code", "execution_count": 11, "id": "233dd0ea", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 1, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 1],\n", " [1, 0, 0, 0, 0, 0]])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Convert the following adjacency matrix\n", "A = nx.to_scipy_sparse_array(G_dir, nodelist=list(G_dir.nodes()), weight=1)\n", "\n", "# Translation between index and names\n", "d_names = {0: 'Alice', 1: 'Bob', 2: 'John', 3: 'Amy', 4: 'Mike', 5: 'Rose'}\n", "A.todense()" ] }, { "cell_type": "code", "execution_count": 12, "id": "e5e2d781", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Convert to graph\n", "G = nx.from_scipy_sparse_array(A, create_using=nx.DiGraph())\n", "# Add labels\n", "G = nx.relabel_nodes(G, d_names) \n", "# Plot\n", "plot_network_adj(G)" ] }, { "cell_type": "markdown", "id": "e5f848f3", "metadata": {}, "source": [ "# Exercise 2\n", "What is the average number of children of your friends?\n", "\n", "In python\n", "* Matrix multiplication (dot-product) is done using \"@\" (e.g. A @ B)\n", " * The number of columns of A needs to match the number of rows of B!\n", "* Element-wise multiplication is done using \"*\" (e.g. A*B multiplies the element i,j of A with the element i,j of B)\n", " * If B is an array, the dimensions need to match those of A\n", " * If B is a vector, it multiplies it row-wise (the number of rows of A need to match the number of elements of B)" ] }, { "cell_type": "code", "execution_count": 13, "id": "04be8ab4", "metadata": {}, "outputs": [ { "data": { "image/png": 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8mcOHD1NYWEhwcDC9evWiY8eOTjn+7Nmzz3vPM3XqVIfXsWPHDlauXMnPP/8MQN++fbn66qvp2rWr3XYlJSWsWrWKm2++2WG1HDx4kEcffZQrrriC7777juuvvx6LxWLrGTd37lynhpQ5OTls27aNwsJC/P396datGy1btnToMSV4EppSVmnl94OVDn163cVQFIiL8JT5nuqhJlQ6W6BU8/dfJ7/z9vY+Z6DkrFCpPo7NX8auKS9iKatwdSluwTe2FUMz1rq6DCGEEEKIC5Kens6aNWu44447aNbsz7k1S0pKmDdvHsOHD6dz585Oq+fo0aM899xz5OTkYDAY8PPzo6ioCFVV6devH48//jieTeRJwqNGjXLaULr6OHDgAPPmzSM9PR2r1WrXM85ZoaAryVA7oSl7TxjdLnSC6o4tB3OqaBbogcGz6fZ6UlUVk8l03p5Kfw2VzgyTIiMjawVL3t7ebhMq1UdQz85YjVXn37CJCO7bzdUlCCGEEEJcsC+//BKj0WgXOkH1nEIVFRUsW7bMqcHT22+/DVT3OqoJM6xWKxs3buStt95iwYIFTJo0yWn1uNJTTz1Fv3793OYeoV27drz88ssu7Rn3yy+/sHHjRv7+97/j5+fH8ePHmTVrFtnZ2QwcOJC//e1vlzSlyLlI8CQ0o6TCSlmlO8ZO1RQgq6CKmOYGV5fiEDWh0vl6KlksFttrFEWx66kUHBxsNxTO19cXb29vdDptzY8V0DkeQ7NQjFmnXF2Ky+m8DLQYO9LVZQghhBBCXLCMjAwmTpxY57p+/frx/vvvO72ehx56yK4HjU6nY8iQIeTk5LB8+XKnBE979uzht99+Iz8/H6vVfuJdRVGYMmWKw2u4/PLLHX6M+tq5c6ctgDQYDISF2T9peuHChdx1110Or+Obb77B29sbPz8/AN555x0KCwsZMWIE69atIzw83GET4kvwJDTjeJ579yCxqnAi30zrZp6Nbq4nVVUxGo3n7an011DpzJ5KwcHBtZ78psVQqT4UnY62U+5h33NvYq2odHU5LuUR6E/zUUNcXYYQQgghxAUrKys76wTaHh4elJeXO7WewMDAs/aiiY2NrfWkZkf49ttv+de//oVerycwMLDW0D5n3QdZrVbWr1/PH3/8QUFBAXXNMPTKK684pZZnn32Wf/7zn3Tp0sVuucVi4c0332TdunVOCZ6OHj3KPffcA0BlZSXp6ek8/PDDJCcnExkZyTfffCPBkxDnUmVROV1kccthdmeyWCGvxEJ4oPv86NWESufrqXTmpxU1oVJNgBQaGlqrp5KXl1eTDJXqq+WdN7D3qdmuLsOldD5etHnoLhQ36QIthBBCCHEhYmJi+OWXXxgwYECtdb/88gvR0dFOreeKK64gNTW1znpOnTrllAmsv/jiCwYOHMiUKVNcOsn6vHnz+OqrrwgPD6dZs2YOG0JWH5dffjnPPvss06dPp2fPnkB18PPSSy+xbds2Jk+e7JQ6ysvLCQwMBKrnnAJITEwEICoqitOnTzvs2O5z9yvEJThVZEZRzv2QsJlP3kvKik/5vynPc/vEaXbr/nH3VQC8uWA1AEM6+3HXA09xz9+fbtA6a3o9OSt4UlWVyspKW4B0Zu+kM78+M1TS6XR2PZVCQ0Pr7KnU2HptuRtDWAhRY0eStfQ7VLPl/C/QINVkpvWEsa4uQwghhBDiotx4443MmjULRVEYPnw4oaGh5Ofns27dOn744Qceeughh9ewePFi29dms5nNmzczb968WqHPjz/+SEREhMPrKSgoYOjQoS4NnQB++OEHxo4da+vh40pTp07F19eX559/nieffJKEhASeffZZjh8/znPPPUfv3r2dUkd0dDT79u2jd+/e/PrrrwQEBNjC0by8PAICAhx2bAmehCYUllqxniN0Ki8rYePar2nbvhPfLp3PbROmnjM4eXfxDzSLcMwnFMXlVlRVveTgxmq11uqpVFewdGa30ppQqWZi7vDw8Dp7Kkmo5ByxD95J1tJVri7DNfR6Iq4bjlfzsPNvK4QQQgjhhgYPHkxBQQEfffQR69atA6o/+DUYDIwfP54rr7zS4TWcGTzV+OKLL+rc9tixY44uh/bt25Odne3w45yPyWRy6sTu53P//ffj5+fHSy+9REhICGazmVdffZV27do5rYbRo0fzzjvvsGXLFg4dOsT1119vW/fjjz/Spk0bhx1bgiehCSUV1nOuX/fdUiwWC5OffJ0pE0by2+a1XDYg+azbd+p6WUOXaGNVwVil4m04e7hjtVrr1VPpzFBJr9fbeir5+fkRHh5eq6eShEruJah3En7tYijde9DVpTidotMR+5Djx7ILIYQQQjjS9ddfz4gRI9izZw/FxcUEBASQkJCAv7+/U47/3XffOeU49TV+/Hhee+01rrrqKpf2eurevTvbt293Wm+i+rjjjjvw9/fnww8/5KmnnnJq6ARw1VVXoaoqW7ZsoVu3bowfPx6oDiQLCwu57bbbHHZsRa1rli0hGhGzReWnvRXn3OaB24cQEBjMq+8t545ruhMT24EX31piW3++oXYFeaf44I3n+HnDKiorK2jfsSuT/jGDpB79gOqg6NP/zmHlFws5nX2ciBatufH2+7lx3AO1atEpEBuu4q2rOGuwVFlZWStUqgmP/tpDqeZvg8EgoVIjlPVVCtvGT0U1uffk+A1J8dAT2C2RAZuXyjUrhBBCCNHI3X333Xa/0506dYqgoKCzTrw+f/58h9d05MgRpk6dytSpU23zGv1VUlKSw44/Z86cs67bvn07RqORPn36AM570p8rSY8n0eiVVVrRKZx1qN2Rg3vZk/Yb019dAMBV141j3tvPczrnJM0iWpx3/xXlZfx9/BWYq0z835TnaRYRzbJF7/Lofdfxn89+JKZtB+a+8A9WfbWIcZMepXO3PuzYuol3Zj1GaUkRd97/hN3+LBYrabsPUnpqH2AfKgUEBNC8efNawZKEStoVdcMIjo+4nNMpm5pO+KTT0X3RbLmmhRBCCNHorF27lp49exISEsLatWvPu/3w4cOdUNWfqqqqWLduHTt27KC4uJjAwEC6devGsGHDaj1hrqEkJSW53e91RUVFKIrCzJkza62rmfZk5cqVDjv+jh07zvqe1Ex/kpaWBjjvSX81Tpw4QVpamq2HXteuXR0+Eb4ET6LRM1lUUOBsj7Rb+eVC/AODufyKa4A/g6eVXyzg7r89dd79r/76Y7KOZ/LB0s20S6h+BGZSzwFMuqk/O7ZuQqfT8e2y+Ux6eIZt0vLeA4aj6HR8/MFrXHfrJIKC/5zHRtHpiIqOIbZbDL6+vnh6errdP9TCubr85yVSE5IxN4HgSeftRYeXpuHXLsbVpQghhBBCXLA5c+Ywc+ZMQkJCztmrBbBNOu4sJSUlPPHEE2RmZhIREUFwcDAnT55kw4YNfPPNN7z88stn7f1zKaZNm3b+jZzs3//+N6Ghodx8882EhYWhd/JTlBcuXOjU49WH1Wrl3XffZfXq1XajaxRF4corr2Ty5MkOuy+V4Ek0elYrZw2dzGYza75dwuXDrsZkrMRkrMTg5UP33oNY+cUC7rjv8fP+I5T2+2aiotvYQicALy9vPlrxBwBff/YhqqrSf8gozGazbZsBQ0az6D+zSPt9MwP/F3rVMHj5EBxcd9dT0fR4NQ8j6T8vsv3uxzTd60nx0BPQqT2xD97h6lKEEEIIIS7KK6+8QlxcHOCcIWMX4r///S8FBQW88cYbxMfH25bv3buX559/nvnz5/OPf/zDafWYTCZKS0vx9/fHYDA47bhQ3avniSeeoH///k49rjv77LPPSElJYcKECQwaNIigoCAKCwtJTU1l0aJFNGvWzGHzPEnwJDTt5w2rKMg7xerlH7N6+cd1rr982NXn3EdxYR7BYc3OsT4fgLuv61Xn+rzTWbWWycRq4q9ajB3FiU++0faQO52O7h/PQdHpXF2JEEIIIcRF6dLlzw+jIyIiXFhJbb/88gvjxo2zC50AEhISuPXWW/n000+dEjzt3LmT+fPns2/fPtuwtoSEBO6++26nPWkuKiqK8vJypxyrLunp6bRt2xY/Pz/S09PPu70j55uqkZKSwtixYxkzZoxtWfPmzbn55pupqKggJSVFgichzuZc97CrvvqIiBateeLF/9Ra99yUcXzz+YfnDZ78A4PJOnGk1vJd23/F1z8A/8AgAOb+9zt8fANqbRcR1bLWMr3cd4s6VA+5G6HJIXc6bwMdXnpEhtgJIYQQQjhIeXk5ISEhda4LCwtzShCTnp7OU089RcuWLbn99tsJDg6moKCAH3/8kSeffJKZM2c6JWQZO3YsX331FUOHDnX6MDuAxx9/nJkzZ9KtWzcef/zxsw5hc8Z8UzVyc3NrhZI14uPjWbZsmcOOLcGTaPQ89HX/EOfn5vDrphRuuesfdL9sUK31w0bexDeff0jW8cPn3H+XHv3ZuGY5hzJ20ja+OqE3mYw8O+V2hlx5I6PH3A1AUUEe3S8bbHvdlp/WsPSjd3jwsVmEhDW326fBQ+Z0ErV5NQ+j1/J/8+vICZrq9aTz9qL5qCEyxE4IIYQQjd5fn+B2Ps4cjte6dWt++eUXBgwYUGvdpk2baN26tcNr+Oijj+jWrRvPP/+83ft0++2388wzz7Bw4UJef/11h9eRkpLC4cOH+cc//oG/v3+d27zyyisOO/6UKVOIiYlx+HEuRHh4OAcOHKBv37611u3fv5/w8HCHHVuCJ9HoeWKq84l233+zGIvZzBWjxtb5uiuvG8fyJe+zYul/z7n/kTfcwReL/81Tk29mwoPTCQ4N56tP/kNlZQU33v4A0a3bknz1rbz2zwfJPnGEDp17cDRzPx+++U+iWsbQsk17u/3pFAjwkS5Pom5hgy6j5+dv8/vYB1GrzOd/gZvTeXsROrAX3T+eLUPshBBCCNHoueMT3GrcfPPNvPzyy5SXlzNgwACCg4MpLCxk48aN/PbbbzzxxBPn38kl2r9/P9OmTav1HtVMYH2+CdkbiqIotmF9Z06kfeZ6R0pOTrZ9febwTFdKTk7ms88+IyAgoNb1sWzZMm699VaHHVuCJ9GoGI1GCgoKyM/Pp6CggIKCAsrLywmPH47e09tu29XLF9OmXUfiOtTdlbNjUi9ax3Zg1Vcf0aJVWzw8657wztcvgLcWpvDe7Kd4++VHsVjMdEzqxRvzVxHdui0Aj7/4Hz758HW++Xwep96aQUhYc4aNvImJDz1bq2unVQV/b7kBF2cXMXooXf87ix0THm/U4ZPO24ug7on0+vLf6Bz0+F4hhBBCCGeq7xPccnJySE1NdWwxfzFw4EBMJhPz58/n559/ti0PDQ3l4YcfZuDAgQ6vwdPTk8rKyjrXVVRU4Omk3wlnzZp11nXOODcXGvI5o1fUrbfeyqlTp/jPf/7D+++/b1uuqirDhw/nlltucdixFbWu+E8IN1ATMp0ZNNWMS/b09CQkJITQ0FBCQkLIqwqlqMI9P3n4K50Cl3f0cdtPSoT7yPoqhW3jpjTK8Kmmp1OvL/+N3lue4CiEEEII7SssLOTHH38kNTWVvXv3Ajhl7p6/UlWV48ePU1hYiKenJ9HR0QQE1J6L1hFeeukljhw5wquvvkpwcLBteX5+Po899hixsbE8/fTTTqnlTM4+N6NGjcLT05MOHTrU677vXEFZQzt27BhpaWkUFxcTGBhIly5daNasGa+//jrPPPOMQ44pwZNwCyaTqVZPprKyMuDPkKnmT2hoKH5+fnY/wMdyqzh8qqrOIXfuJtBHR/e23uffUAjg9Nqf2Hr9/VjNFrBYXF1Ovei8DUSMHka3Ra9LTychhBBCaFp5eTmbN28mNTWVHTt2ANC5c2f69OlDnz59iIqKcngNJpOJzMxMQkJCaN68em7ZN998k5SUFAB0Oh133XUXN910k8NrycnJYerUqZSVlZGYmEhQUBBFRUXs3r0bPz8/Zs+eTWRkpMPrANeem/fee481a9YQEhLCjTfeyPDhwzEY6h5h4wwmk4nKykoCAwNrrcvNzWXGjBlkZmby7bffOuT4EjwJpzOZTBQWFtqFTKWlpQB4eHjYBUwhISH4+/ufNyU2Van8nFHhjPIviU6B+BYGIoJllKuov5I9B9l2+8OUHTiCtdLo6nLOSvHwQNHrSHj1cdrcf7vM6SSEEEIITaqqqmLLli2kpqby22+/YTabSUhIYM+ePTz//PP07NnTabUcOXKEJ598kqKiIgCuueYaYmNjeeedd7juuuuIjIwkPT2dTZs2MXXqVK644gqH11RYWMiXX35JWloaJSUlBAQE0LVrV2644Qa7XlCO4E7npqysjNWrV7NixQqMRiNXX301V199NUFBQU6rwWKx8O6777JmzRqsVivBwcHcfffdtjmo9u3bxwsvvEBlZSWPPfYYl112mUPqkOBJOFRVVVWtkKmkpAQAvV5fK2QKCAi46CFoO48ayStx7x4heh307+CDTifD7MSFsZrNHJo9j4wZb6FaVbfr/aTz9iKwSwe6L5qDb9tWri5HCCGEEMIh5syZw88//0xZWRlt2rRh2LBhDB06FA8PD2677TZmzpxJt27dnFbPyy+/zI4dOxg7dixms5lvvvkGs9nMyJEjufvuu23bvfDCC+Tn5zN37lyn1eZs7nZualitVjZt2sTy5cs5dOgQw4cP58Ybb6RFixYOP/ayZcv473//S8+ePWnTpg0HDx5kx44dPPXUU5jNZubOnUt4eDjPPfccrVo57nd46XYhGkxNyHTmvExnhkzBwcFERETQsWNHW8ika8AeES3DPMgvteCuUaqiQFSIh4RO4qLoPDxo9/h9RFxzBdvGT6Fsv3v0frL1cpr1mPRyEkIIIYTmrV27ltatW/Piiy/SoUMH2/Li4mKX1LNjxw5uvfVWrr/+egASEhJ48sknaz1JbcCAAbz77rsOqeF8E2krikLz5s0ZOnSoQ4Mfdzs3NXQ6HYMGDSImJoY5c+bw3XffUVpa6pSnDK5bt45hw4bxyCOP2JbNnz+fN954g/Lycrp27cpTTz2Fv7+/Q+uQ4ElcFLPZbAuZanozlZSUoKoqer2eoKAgIiIiSEhIIDQ0tMFDproE+erw9lSoMLlp8qRCdKj8yIlLE5DYjsu3fPW/3k9vo3jqsZbX/eQQR1I8PECBoJ5JdF/4mvRyEkIIIUST0LFjR/bu3cv06dMZNGgQV1xxBR07dnRZPaWlpXY9VeLj4wHw9fW12y4oKOisT5u7VGlpacTGxp41vDCbzWzbto21a9fy5JNPcvnllzukDnc7NzXS09NZtmwZW7duJSYmhilTpjB06FCnHDsrK4tx48bZLRs9ejRLly5l9OjRPPDAAw6/TwcJnkQ9mM1mioqK7IbLFRcXo6oqOp2O4OBgmjVrRnx8PKGhoQQGBjrl4v0rRVFIiDawPdOIu0VPOgVahXvgbZDeIOLS1fR+ivm/Wzn+0VccmjsfU24+1iozWK2OPbaPN6rZTNTYUcQ+eAfBvbuc/0VCCCGEEBoxe/ZsTp06xQ8//MCGDRv47rvviIyMpF+/fiiK4vQnV1utVvR6ve37mq//Woej788mTZp03t5Mb775Jp999pnDgid3OjeqqrJp0yaWLVvG/v376dGjBy+88AI9evRwWg1QPb/yXwPBmjmmhg8f7rT7dgmehB2LxVIrZCoqKrKFTEFBQYSFhdGuXTtbyHTmP3SuFuirJzrUg5MFZrd6wp2Xp0LrZvJ0L9GwPEOCiP3H3bSZfCd5P/zCoTfmk7tmE4qnZ8MOw9Pp0Hl64BkWQtuH76HlXTdgCA1uuP0LIYQQQjQizZs355ZbbuGWW27hyJEjtqBDVVX+/e9/M2DAAC677DK74V6O5Oyw62L179+f1NRUhx7DXc7NxIkTycvLY8iQIUydOpWYmBiHHu9c/np9uOJ6kcnFm7CakOnMOZmKi4uxWq0oikJQUJDdxN9BQUFuFTKdjdWqsuVAJcYq97i0FaBHnDf+3tLbSThexbEsTiz+mtwffqF4226qCorQ+/pgNZtRTVXn34GioPf1xmqqAlXFr30sIQN6EHXDCMKHD5A5nIQQQgghzmLPnj2kpqby448/UlhYSGhoKB9//LFDjzlq1KhaQYKqqmcNF1auXNngNezfv5+WLVvi4+Nzzu1SU1N59913Wbp0aYPXcD7OPjejRo0C6h/yOOK81NRRVw1nu0YcVYf0eGoirFarLWSq6c1UVFRkC5kCAwMJDQ2lbdu2hISEEBwc3ChCprrodAqdWnmxPbPS5b2eFAXaNveU0Ek4jU+rKNo9cT/tnrgfgMqsUxT9sYuiP3aRv2kr+Wl7oMqCXlWxmqpQ9Hp0Bk90XgYMYcGE9O9BcO8uBPXojH9iHDpP6aknhBBCCFEfHTt2pGPHjtx3331s27aNDRs2OPyYf52/xxXat29fr+3MZjNXXHGFg6upm7PPjTucF3CfOqTHkwZZrVaKi4vthssVFhbahUwhISG23kxBQUF4eGgvgywotZB+xHXzPSkKtAz1oG2kwUUVCFHb6tWriYiIoHv37q4uRQghhBBCCNEEaC9taGKsVislJSW1QiaLxQJgC5lat25NaGgowcHBmgyZ6hLirycpxov0o0acHa8qCrQK86BNc+ktItyL0WjEy8vL1WUIIYQQQgghmoimkUBoRE3IdOacTGeGTAEBAYSEhNCqVSvbcDnPJj5MJsRfT7c2Xuw8asRsxSkBlALERXgSHda033vhflRVxWQySfAkhBBCCCGEcBoJntyUqqq2kKmmN1NhYSFmsxkAf39/QkNDadmypW3YXFMPmc4m0FfPZe19OJBl4lSRxWFD73QK+BgUOrbyws9L5nQS7sdkMqGqqgRPQgghhBAOkJ+fz3fffceoUaMIDQ2VWqQOqeN/JHhyA6qqUlpaahcyFRQU2IVMISEhtGjRwjZczmCQeYMuhIdeIaGlF82DLew9bsRipcEmHtcp1T2pYpp50Crcs9E8zlQ0PUajEUCCJyGEEEIIB8jPz2fx4sX07dvXLYInd6hF6pA6QIInp1NVlbKyMruAqaCggKqq6sec+/n5ERISQseOHW0hk9wkNpxQfz194304XWzhWF4V5ZXV6dPFZFCKAh46iA7zICrEE4OHBE7CvZlMJgAJroUQQgghhBBOI8GTA9WETGfOyXRmyOTr60tISAgdOnQgNDSUkJAQCZmcQKdTiAj2ICLYg9JKKyfzq8jJr8SCBzqdgkLt3lCKgm25p756+F5kiJ4wf730cBKNhvR4EkIIIYQQQjibBE8NRFVVysvLaw2Xq+lh4OPjYwuZauZk8vb2dnHVwt9bR3wLL05m/Izew5OuPfpSUmHFZFaxqtXnVadT8NAr+HvrCPDW4Sk9m0QjVRM8SY8n0ZAqKytt/9dpidVqRafT5nx90rbGSatt02q7oPr/W/l9XwghJHi6KKqqUlFRUStkqrmp8/b2JjQ0lPbt29tCJh8fHxdXLc7GarWSn59PYmIigb56An31ri5JCIcwGo0YDAbN/oIvnK+yspLY2Fiys7NdXUqD8/Lysv2/rjXStsZJq23TarsAIiMjyczMlPBJCNHkuTx4GjJkCBs2bLBbFhQURI8ePXjuuecYPHhwvff1z3/+kxkzZqCqDfvcsrpCpsrKSqD6P8vQ0FDi4uJsw+UkZGpcioqKMJvNhIeHu7oUIRzKaDTKMDvRoEwmE9nZ2Rw7dozAwEBXl9NgTpw4QWJioubaBdK2xkqrbdNquwCKi4tp1aoVJpNJgichRJPn8uAJoHv37vzrX/8CwGKxcPr0ad577z2uvPJKfv/9dzp16uS0WmpCpjPnZTozZAoJCSE2NtYuZJI5fhq33NxcdDodISEhri5FCIeS4Ek4SmBgoKZuGouLiwHttQukbY2VVtum1XaJpis4OJgrr7yS4OBgV5fiNrVIHVIHuEnwFBgYSN++fe2WJScn06xZMxYsWMBrr73mkONWVlbW6slUUVEBVI/JrgmZaobL+fr6SsikQbm5uYSEhKDXyxA7oW0mk0mCJyGEEEIIBwkJCWH48OFu8YG2u9QidUgd4CbBU118fX3x9va2C3o+++wzXnvtNfbu3Yu/vz/XX389L7/8cq03a/ny5Tz22GMcPXqUrl27MnPmTC6//PJaIVN5eTkAnp6ehIaGEhMTQ0hICKGhoRIyNSG5ubm0bt3a1WUI4XBGo5GgoCBXlyGEEEIIIYRoQtwieFJVFbPZbPs6Ly+PN998E6PRyIQJEwB48cUXmT59On/729946aWXOHToENOnT+fnn3/ml19+sZtXacKECTz66KOEhIQwb948rrrqKmbNmkXLli3x9PQkJCSEVq1a2YbL+fn5ScjURJWVlVFRUSHzO4kmQYbaCSGEEEIIIZzNLYKnjRs34unpWWv5zJkzSUhIoKCggBdffJF7772Xd99917a+c+fODBo0iLfeeovrrruOY8eOAXDHHXcQFxeHh4cHL774IuPHj2fDhg18/PHH+Pv7S8gkbPLy8gAICwtzcSVCOJ4ET0IIIYQQQghnc4vgqUePHvznP/8Bqns8FRQUsGrVKp5++mnKysoYMGAARqORcePGAXDy5EkOHTpESUkJzZo1Y/ny5bRv3x6z2Yxer2fy5Mk0b96cgIAAFEXh2muvZcWKFQQEBLiymcIN5ebm4u/vL08bEZpnsVgwm80SPAkhhBBCCCGcSufqAgACAgLo1asXvXr1onfv3owYMYK5c+cyceJEZs2axalTpwCIjIwE4PDhw5w8eRKDwUCLFi3w8fHh+uuvJzY2lrCwMNq1a0dgYKCtZ1Pz5s0pKChwWfuE+8rNzZVhdqJJMBqNABI8Cbcye/ZsHnvsMVeX4TJ33XUXH3/8savLaBBpaWmMHDmSnJwcV5ciLsDHH3/MXXfd5eoyhBBCaJxb9Hg6m27dumE2mzl8+DAA2dnZJCQk0KtXL/z8/Ni/fz8nT56kdevWtpCpqKgIVVXthtNlZ2fTvHlzVzRBuLGqqiqKiopo166dq0sRwuEkeBKucvToUe677z50Oh0LFy48Z9g/e/Zs0tLSWLhwoRMrvHCzZ89m7dq1tu89PT2Jiopi2LBh3HzzzY16SH9qaiqzZs2yfT9r1iy6dOniwooa3oVck41BzfU4atQoJk+ebLfu22+/5d133yUpKYlXX3210fyM1TjzZ01RFPz8/OjSpQt33nknMTExLq5OCCFEfblFj6ez+fnnn9Hr9dx///14eXmxePFiAAwGA127diUwMJDTp0/TrFkz1qxZQ1lZGUajkR9++MG2j9LSUlauXMnQoUNd1QzhpvLy8lBVtdH/wilEfZhMJqD6308hnOn777+nbdu2BAUFsWbNmnNue++99/L66687qbJL06FDBxYsWMD8+fN588036devHwsWLGDDhg2uLu2S9O3blwULFvDaa6+5uhSHuZBrsrEIDg4mJSXFNkoAwGw2s3TpUrunPzemn7EaNT9rH374IU8//TR5eXk89thjMppBCCEaEbfo8VRcXMwvv/xi+95kMvH111+zePFi/u///o+IiAieeOIJZsyYgcFg4LrrriMzM5Pp06eTmJjIc889R0ZGBocPH8bDw4O7776bV155hcDAQF555RUqKiqYPn26C1so3FFeXh4Gg0Hm/hJNgvR4Eq5gNptZv34948aNIysrizVr1nDrrbeetUfQihUrWLNmjV1vjA0bNvD5559z7NgxAgMD6dSpE/fccw+RkZFUVlayaNEiNmzYQGlpKdHR0dx6660MHDjQ4W0zGAxERETYvo+MjOSzzz6zPbTCarXy2WefsXr1avLz84mIiODGG29k1KhRdvvJy8tj7ty5bN68GYvFwoABA/j73//usrkHvb296zx2Tk4OH3zwAdu2bcNisZCYmMikSZOIjY21227Xrl3MnTuXPXv2EBoayp133mn78C8nJ4e7776bSZMmkZ6ezq5duzAYDNxwww2MGTPGKe073zX52GOP4e/vT3R0NJs2baKgoIAePXrwwAMPsGLFCtavX09ZWRmdO3dm2rRpBAcHs379eubOncvChQsJDQ21Havmd9mPP/7Y4aF/q1at8PHxYcmSJTz00EMArFu3Dj8/P9q2bWsLpOr6GTuTyWTi+eef5/Tp08yaNYvg4GCKi4uZN28ev/76K0ajkTZt2nDPPfc4rSfcmT9rLVq04IEHHuDhhx8mPT2dQYMGUVJSwgcffMCvv/5KRUUF7dq14+6777arb82aNXz11VecPHkSf39/EhISmDBhAi1atACqh4p+9NFH7N+/H39/f7p37869995LcHCwU9ooxKXIyS6msLCi1nKrxcLRw0XolRx0en2t9cHBPkREBmquDmHPXc6LWwRP27Zto1+/frbvvb29iYuL46WXXuLRRx8F4J///CeRkZG8/fbbfPjhh4SFhTF27FhefPFFQkJCaNWqFStXrsTf358xY8bw6KOPkpeXR58+fdiwYQMdOnRwVfOEm8rNzSUsLKxRD4kQor6MRiM6nQ4PD7f4Z180Eb/++ivl5eUMGTKEvLw8vvzyS9LT0+t9w5qSksLbb7/NHXfcQe/evcnLy2P16tVkZmYSGRnJCy+8QFlZGdOmTSM0NJQ//viDV155hZCQEDp37uzg1v3JaDSyfPlyQkJCGDRoEACffPIJ33zzDffffz9t27YlPT2d999/H09PT5KTk22v3bRpEzfffDMvv/wyubm5vPHGGyxevJiJEyc6rf7zqaqq4umnnyY8PJznn38eDw8PvvzyS5544gk++OADAgP//MX0s88+48477+SBBx5g5cqVzJkzh86dO9OsWTPbNsuXL+eOO+7gnnvu4aeffuLDDz+kc+fOTvldrT7X5JYtW7juuut49tlnyc/PZ+bMmUyYMIFhw4bxz3/+k6qqKl566SUWLVrE5MmTufzyy3n//ff5/vvvue2222z7WblyJVdeeaXTeprefvvtPPLII9xyyy00a9aMpUuXcvfdd/Prr7/W6/Vms5mXX36ZU6dO2UInk8nE448/Tnh4ONOnT8fX15cNGzYwffp0/v3vf9uCG2eqqqoCsF13L774IqWlpTzxxBMEBgayZs0ann76af7973/TsmVLtm/fzhtvvMFDDz1EYmIi2dnZ/PTTTxw/fpwWLVqQnp7O9OnTGT9+PA8++CClpaV8+OGHvPrqq8ycOdPp7RPiQuRkFzNuzDxMJss5tvq5zqUGg57FX0xskHDBXeoQ9tzpvLj8DiQ1NbXe295///3cf//9da5TFIW5c+fy2muvsX//fgYOHIiiKCQmJsocPqIWq9VKXl4eHTt2dHUpQjiF0WjEy8tLglbhVCkpKfTv3x9/f3/8/f2Jj48nJSWl3sHTxx9/zOjRo7n55psBiI2NpVevXlgsFtLT00lLS2PRokW2XgkxMTFs3bqVdevWOTx42rlzJ9deey1QfcOuqirJycl4eHhgMplYunQpkyZNYtiwYQC0adOGU6dOsXjxYrvg6brrrmPs2LEAtGvXjhtvvJGlS5e6VfCUmppKbm4uc+bMsd3sP/LII0yYMIEVK1bYnjoMMGPGDNvDYG6//XZWrFjB/v377YKnadOm0bVrVwBatmzJ0qVL2b17t1OCp/pck0OGDGHSpElA9TWXlJREeXk5U6ZMsW0zYMAA0tPTgeoeOSNGjGDVqlXcfPPN6PV6tm/fzokTJxg9erTD21SjQ4cOdO3alSVLltC1a1c8PT0ZMGBAvYIni8XCq6++yokTJ5g1a5ZteN7GjRspKirizTfftAVosbGxbNq0iQ0bNtgFbY5mtVo5duwY8+bNo3379iQlJZGWlkZaWhr/+c9/aN26NQBxcXHs3buXzz//nKlTp3LgwAG8vb0ZNGgQPj4+tGrVit69e9v2u3jxYkaNGmX7OQS47777mDp1qjyEpgFMmzaN3bt3M3z4cKZNm2a37q9zjqWlpfH4448zdepUu38nxdkVFlacJ1Q4O5PJQmFhRYMEC+5Sh7DnTufF5cFTQ/Pw8KBjx47Exsaya9cu0tLSOHDgAF27diU6OlpuugRQPQm92WyWXyZEk1ETPAnhLPn5+WzdupUXX3zRtiw5OZkPP/yQBx54AD8/v3O+vrCwkNOnT5OUlFRrnV6vZ9++fZjNZu688067dRaLxRZqOFL79u155JFHgOrg6fTp03zyySdMnTqV6dOnYzKZSExMtHtNYmIiy5Yto7y8HF9f3zr326ZNG0pLSykpKXGboeCHDx8mOjrarmeTp6cn7du3JzMz027bM3/PCgoKAqCsrOys2+h0OgICAmpt4wj1vSb/+ruiv78/5eXltZadWfPo0aP54osv+O233+jbty/ffvstvXr1soVwzjJu3Dgee+wxtm/fzoQJE+r1e6+qqsydO5ft27fz3nvv2c0JlZGRQWFhITfddJPda8xms918Uo5UE/JaLBasVitDhw7lb3/7G3q9nszMTPz9/W2hU42OHTuya9cuAPr378+yZcuYOHEiPXr0oF27dvTr1882fG/fvn3s3LmTlStX2l6vqipQPTxUfle8eDk5OezZs4dWrVqxefNmJk+efM4egLGxscycOVMmjhdCgzQXPNXw9vamZ8+etGvXjh07drB582bCw8Pp1q2b3fh70TTl5uai0+nsfrkSQsskeBLOtnbtWqxWK0899VStdRs2bKg119HZ6HR1PwfFarXi7e3NW2+9VWudM651Ly8vWrVqZfs+NjaW0NBQJk+ebOsJ81c1N7PnCgNqhhHVbNuYuduHfRd7TdbVjr8ui4iIoFevXqxcuZL27dvzyy+/MGPGjIYp/AJ07NiRpKQk8vPzufzyy+v1mtOnT3Py5EkqKipYu3atrYchVAe5LVq04Lnnnqv1uvOFxw2lJuStqqpi1qxZHDly5LyvOfPnp0WLFsybN4/NmzezZ88evv32W+bPn88LL7xAly5dsFqt3HDDDYwYMaLWfs7sqScuXGpqKn5+fkydOpUpU6awZcuWc16XAQEBdO/e3YkVCiGcRbPBU42goCAGDRpEdnY2O3bsYO3atbRu3ZqkpCSn/Ycp3E9eXh4hISEy341oMkwmk8smKxZNU0pKCqNGjap1M//RRx/Z1p1LUFAQISEhpKen280DCdU3lXFxcVRWVlJWVkZCQkKD138xKiqqJ++MiorCYDCwe/du2rZta1u/a9cuIiIi8PHxOes+9uzZQ2RkpF3vIlcoLS0Fqj/Ia9OmDStXrqS4uNhWl8lkIiMjg5EjR7qyzAtyqdfk+YwePZp//vOfzJ8/n8jISHr06HFJ+7tYU6dOxWw21zv4CwkJ4dVXX+XHH3/k9ddfJygoiCuvvBKoHraWkpKCl5cXzZs3d2TZZ3VmyDtz5kweeeQRnn32WWbOnElsbCylpaUcOXLErpfM7t27adOmDVDdO8vPz4/k5GSSk5NRVZX77ruPTZs20aVLF+Li4jh8+LBdkCwaRmpqKgMHDiQhIYE2bdqQmpp6zuCp5gEEfx1qt2HDBr744guOHDmCn58f8fHx3HjjjbYhsgcPHuSjjz5i586dKIpCTEwM48ePlxBLCDdS98eIGhQZGUlycjI9e/bk1KlTrF69mvT0dNsni6JpqZlYXIimwmg0Om2CWyF27tzJiRMnuPbaa4mLi7P7M3LkSPbt28fhw4fPuQ9FURg7diwrVqxg2bJlHD58mJ07d/LGG2+wc+dOevToQefOnZk5cybr1q3j6NGj7Nu3j08++YTPP//c4W00mUzk5OSQk5PDsWPH2LBhA2+++SZt27alW7dujBkzhkWLFrF+/XqOHDnCN998w7fffsvtt99ut59du3aRnp5u22bFihXcfffdDq+/Lrt27SIzM5PDhw/z6aefEhwcTExMDIMHDyYsLIyZM2eye/duMjIyeO211zCZTFxzzTUuqfVCNcQ1eT69evUiIiKCdevWMXr0aJf1+AoPD7+gIX6enp54eHgwdOhQ7r33Xt566y1++uknAIYNG0ZERATTp0/np59+4tixY+zcuZN58+aRkpLiqCacVc11mJOTw4wZM0hISKBz5868+uqrbNu2jYMHD/Kvf/2LzMxMW8+thQsX8tZbb5Gens6JEyf46aefyM3NtQXW48aN448//mDOnDns2bOH48eP89NPPzF9+nRbmCwu3JEjRzh8+LBtnrsrrriCLVu2XPCw2uXLl/PKK6/QqlUrHnnkESZOnIjRaGTNmjUAHDhwgEceeYTQ0FCmTJnCww8/bJsM/8CBAw3eLiHExWlS3T10Oh1xcXG0bt2avXv3kpGRwaFDh+jcuTOxsbFn7c4vtKW8vJzy8nIZsy+aFBlqJ5wpJSWF9u3b1zlPR+/evQkKCqrXTesNN9xAUFAQX3zxBYsXL8bX15fu3bvb5mx84YUXWLx4MYsWLSIvL4+AgADi4uLsJgl2lH379tkCIr1eT0hICAMHDuSWW27BYDAwbtw49Ho9CxYsoKCggIiICCZNmlRrOE9xcTFz5syxfSDyf//3fwwePNjh9ddl/fr1rFu3zvb70owZM2z/brz00ku8//77PPPMM1itVjp27MjLL7/s8p5Z9dVQ1+S56HQ6Bg8ezNdff13nsK3G4IYbbqCgoIBZs2bxwgsv0LVrV15//XU++ugj/v3vf1NUVERQUBAJCQm2QMHZoqKimDlzJo899hgvv/wyzzzzDB988AEzZ87EaDQSFxfHiy++SMuWLQG47LLL+Pzzz3n55ZcpKysjIiKCe+65x1Z/z549eemll1iyZAlPP/00VquV5s2b07t3b/nA5hL88MMPREZG0qlTJ6B60v758+ezefPmek8cXlZWxsKFC7niiitsc+pBdYhVM8fYhx9+yLBhw7jvvvts63v37k1GRgarV6/mwQcfvKC6rVbrJQ11tlgsdn87mvUSj2O1WBqkVnep41ycfW7coQ5nnRe9Xn/ebRRVC5MIXKSysjJ27tzJkSNHCAoKomvXrk6fBFI439GjR/nll1+49tprZeiRaBJUVWXZsmV0795dnvIpGlRxcTFBQUEUFRU1mgCiPo4fP06rVq001y6Qtjnaww8/TFxcHJMnT27Q/bpD2xxBq+0C7f77WF/33HMPffv25dZbb7Ute/755/Hy8mLmzJlA7afa/XWo3datW5k+fTqvvPJKnQ+NMBqN3HjjjVit1jpr6N69u+1Y9bV3717MZvMFvcaVjh4u4pUZP1/06594rh+t2wRppg5hz1nnpT5PEm5SPZ7+ys/Pjz59+tC+fXu2b9/Oxo0biYyMpGvXrrYnsQjtyc3Nxd/fX0In0WRUVVWhqqr0eBJCCAfavXs3+/bt4x//+IerSxHCpfbs2UN2djbLly9n+fLldut0Oh0FBQX1esBPcXExwFkfDFVSUmKbHH7gwIG11p/t6aHnEh8ff8k9njIyMoiPj69XL5BLpVdygIsPFmJjY4lPiNBMHefi7HPjDnW403lp0sFTjdDQUIYOHcqJEydIS0sjJSWF2NhYOnfuLOGEBuXl5cn8TqJJMRqNgHOe9CWEEE3VV199ZZu+QYim7IcffqBVq1Y88MADdsvNZjPPP/88Gzdu5LrrrjvvfgICAgDIz8+vc/J3f39/FEXBbDbTsWPHBqm9oaZe0ev1Tgk3dJd4DF0D1ekuddSHs86NO9ThTudFgqf/URSFli1bEhUVxYEDB9i9ezdHjx6lY8eOLk9FRcOpqqqisLDQ7ilDQmidBE9CCOF4Tz/9tKtLEMLlLBYLmzZt4sorr6zzqXKdOnUiNTW1XsFTQkICBoOBdevW1RpqV/OUzYSEBNatW8ctt9xS64Pl7OxsmUZFCDchwdNf6PV6OnToQJs2bdi9ezc7d+7k4MGDdOnShVatWrnsCSWiYeTn56OqqkwsLpoUk8kEIJOkCiGEEMKhtm/fTkFBAX369KlzfZ8+fXj//ffJzs4+774CAgK49dZb+eijj7BarfTp0wez2cwvv/yCl5cXU6dOZdKkSTzxxBP84x//YMyYMbRo0YKcnBxbWDVhwoSGbqIQ4iJI8HQWXl5etol4d+zYwS+//EJGRgbdunWT0KIRy83NxdPTs0lO8iiaLunxJIQQQghn2LBhAyEhIXTo0KHO9TXB0w8//FCv/d12220EBwezYsUKNm7ciK+vLx06dODqq68GoGPHjsyZM4dPP/2UJUuW2J5c3alTJwYNGtRg7RJCXBoJns4jICCAyy+/nFOnTrF9+3bWr19Py5Yt6dKlC/7+/q4uT1ygvLw8wsPDpeeaaFKMRiOenp4NNm+BEEIIIURdpk6des71LVq0YNWqVXWui4iIqHPdyJEjGTly5Fn3GRcXxzPPPHNhhQohnEruQuqpefPmJCcnc9lll5GXl8fq1avZsWOHbQiLcH9Wq1UmFhdNktFolN5OQgghhBAaExzsg8FwcXMRGwx6goN9NFWHsOdO50V6PF0ARVFo06YNLVu2ZN++fezdu5fMzEw6depEXFyc9CZwc8XFxVRVVclQSdHkSPAkhBBCCKE9EZGBLP5iIoWFFbXWWS0WMjMziY2NrfPpZsHBPkRENsz0I+5Sh7DnTudFgqeL4OHhQadOnWjbti07d+5k27ZtHDhwgK5duxIVFSXDuNxUbm4uiqIQGhrq6lKEcCoJnoQQQgghtCkiMrDOgMBisWBR84lPiHDKE9rdpQ5hz13OiwRPl8DHx4fevXvbJiDftGkTzZs3p2vXroSEhLi6PPEXubm5hISE4OEhl71oWkwmk0yo3whVVla6/XDu4uJiAE6cOGH7WguysrIA7bULpG2NlVbbptV2AZSUlLi6BCGEcBtyB94AQkJCGDx4MFlZWezYsYM1a9bQpk0bkpKS8PGR8aruIi8vj+joaFeXIYTTGY1GDAaDq8sQF6CyspLY2Nh6PW7a1QwGA4mJia4uo8EZPBRNtgs03jaNXo+g3bZp+Xr08tRhtVpdXYYQQricBE8NRFEUWrRoQWRkJAcPHmTXrl0cO3aMhIQEOnToIL1sXKyiooKysjKZWFw0STLUrvExmUxkZ2dz7Ngxt+6tduLECRITE92+zgtV066tHyQQ4KutYQFZeSaGPLRf023T2vUI8rPWGJWUW+g1aa/MASuEEEjw1OB0Oh3t27cnJiaGPXv2sGfPHg4dOkRSUhIxMTEy/5OL5ObmAsjE4qLJsVgsVFVVSfDUSAUGBrr1TWbN0Bh3r/NC1bQrwFevuZvh0vLq9mi5bVq7HkF+1oQQQjRuEsE7iMFgoGvXrlx11VWEhYWxZcsW1qxZw6lTp1xdWpOUm5uLn5+fDH0UTU7NHEESPAkhhBBCCCFcQYInB/P396d///4MGzYMnU5HamoqmzZtkgkHnSw3N1d6O4kmyWg0AhI8CSGEEEIIIVxDgicnCQ8P54orrqBv374UFhayevVqtm3bZrspFI5jNpspLCyU+Z1EkyTBkxBCCCGEEMKVZI4nJ1IUhdatW9OiRQv279/Pnj17OHz4MImJibRr1w69Xsa2O0J+fj6qqkqPJ9Ek1Qy1k6faCSGEEEIIIVxBgicX8PDwoGPHjsTGxrJr1y7S0tI4ePAgXbp0ITo6WiYgb2C5ubl4enoSFBTk6lKEcApVVakwgtEMeUVmrIoXnp6eri5LCCGEEEII0QRJ8ORC3t7e9OzZk3bt2rFjxw42b95MeHg43bp1IzQ01NXlaUZubi5hYWES6AlNyy1S2X7IwuFslax8FWNVzZpoIJoDn1bRIlQhNkpH17Y6QgPk50GrZs+eTU5ODq+++qqrSxFCCCGEEEKCJ3cQFBTEoEGDyM7OZseOHaxdu5aYmBiSkpLw9fV1dXmNmqqq5OXl0aFDB1eXIkSDU1WVjOMqG9MtHD2tolPAYq1720oTHMpWOXrKwvrtFmIjFQYl6WnXQqb6a4yOHj3Kfffdh06nY+HCheccSjx79mzS0tJYuHChEyt0P6mpqXzyySdkZWURFBTE8OHDueOOOzQxzD23RM8H64NpHmhh4tBCV5fToLTaNi1fj1pum1avRyGEcDQJntxIZGQkzZs3JzMzk507d3L8+HHi4+NJSEiQYTIXqbi4mKqqKpnfSWhOaYXKlz+ZOXhStYVNFvX8rzP/b9tDWSpHcsx0bK1wbT8PfL2kB1Rj8v3339O2bVsKCgpYs2YNt91221m3vffee21zfTVV27Zt47XXXmP8+PH06dOHo0eP8s4776DT6bjzzjtdXd4lmfh+FKpa/fPbPLDcxdU0LK22TcvXo5bbptXrUQghnEGCJzej0+mIi4ujdevW7N27l4yMDDIzM+nUqROxsbHodNI74ULk5uaiKIoMXRSaknHcypJUMxbr2Xs41YfFCnuOqhw4WcW4YR7ERsq/L42B2Wxm/fr1jBs3jqysLNasWcOtt9561uHEK1asYM2aNXY9njZs2MDnn3/OsWPHCAwMpFOnTtxzzz1ERkZSWVnJokWL2LBhA6WlpURHR3PrrbcycOBAZzWxwa1YsYJ+/frZArq2bduSm5vL0qVLGT9+fKP+v/XFsacB+PCHYNcW4gBabZuWr0ctt02r16MQQjhD4/3XX+M8PT1JSkriqquuonnz5vz++++sWbOG7OxsV5fWqOTm5hIcHIyHh2SsQht2Hrby8XozJvOlhU41LNbqYXgLUsxkHG+AHQqH+/XXXykvL2fIkCGMGDGCrKws0tPT6/36lJQUXn/9dQYPHsybb77Jww8/jMViITMzE4AXXniBXbt2MW3aNN58802GDx/OK6+8ws6dOx3VJIfLyMggPj7ebllSUhLFxcWN/v/VqBAzUSFmDB716PLYyGi1bVq+HrXcNq1ej0II4QxyN+7m/Pz86Nu3L/Hx8Wzfvp2NGzcSGRlJ165d5Slt9ZCbm0uLFi1cXYYQDSLjuJXPN5qxOiAfslhh8Xoz91zpQZsI+UzCnaWkpNC/f3/8/f3x9/cnPj6elJQUunTpUq/Xf/zxx4wePZqbb74ZgNjYWHr16oXFYiE9PZ20tDQWLVpEcHAwADExMWzdupV169bRuXNnRzXLoYqKivD397dbFhAQAEBhYaH8PyGcSsvXo5bbJoQQ4uLJ3UUjERoaytChQ+nfvz8lJSWkpKTw+++/U1lZ6erS3FZFRQVlZWUyv5PQhNIKlc82OCZ0qmGxwifrzVSa5NNcd5Wfn8/WrVsZMWKEbVlycjKbNm2irKzsvK8vLCzk9OnTJCUl1Vqn1+vZt28fZrOZO++8k2uvvdb2Z/v27eTk5DRoW5xJVdWzTmwsTzwVzqbl61HLbRNCCHHxpMdTI6IoCi1btiQqKooDBw6we/dujhw5QseOHYmPj9fE00IaUl5eHgBhYWEurkSIS7d8sxmzxfHHMVXBt7+auWmgPNDAHa1duxar1cpTTz1Va92GDRsYNWpUvfZztnlWrFYr3t7evPXWW7XWeXl5XVixbiQ4OJjS0lK7ZcXFxQDSe1g4nZavRy23TYgz5WQXU1hYUWu51WLh6OEi9EoOujruzYKDfYiIDHRGiU4n74k4FwmeGiG9Xk+HDh1o06YNu3fvZufOnRw8eJAuXbrQqlUr+UTpf3Jzc/H19cXX19fVpQhxSTKOW9l/Qm2QOZ3Ox2yFtEyV3vFWYmTIndtJSUlh1KhRtQKmjz76yLbuXIKCgggJCSE9PZ1+/frZrVNVlbi4OCorKykrKyMhIaHB63eVdu3akZ6ezpgxY2zL0tPTCQwMJCIiwoWViaZIy9ejltsmRI2c7GLGjZmHyXSuTwR/rnOpwaBn8RcTNRe0yHsizkfuKhoxLy8vunfvzlVXXUVwcDC//PIL69atIzc319WluYXc3FwZZicavSFDhtChlZ55zw8+6zZf/Xs8L93jxYoP7wXgpXu82Lj8BQCO7N3AS/d4cWTvhnofU7XCpl1O6F4lLsjOnTs5ceIE1157LXFxcXZ/Ro4cyb59+zh8+PA596EoCmPHjmXFihUsW7aMw4cPs3PnTt544w127txJjx496Ny5MzNnzmTdunUcPXqUffv28cknn/D55587p6EOMHr0aLZs2cKXX37JsWPHSE1NZcmSJYwaNarR9xYuNyqUGxUsanVwXG5UqKzSxgdQWm2blq9HLbdNq9ejs3388ceMHDnS9mf06NHccsstvPzyy+f9P6wuI0eO5OOPP274Qs+hsLDiPAHL2ZlMljp7BTV28p6I85EeTxoQEBDA5ZdfzqlTp9i+fTvr16+nZcuWdOnSpdYEj02F2WymsLCQNm3auLoUIS5JlQUURceJQ79SnHeMwLBW9uuN5ezf8Z3dsruf2UhASPRFH1MF9h5TKSlXCfCVX6rdRUpKCu3btycmJqbWut69exMUFERKSsp593PDDTcQFBTEF198weLFi/H19aV79+5ER0ejKAovvPACixcvZtGiReTl5REQEEBcXBxjx451RLOconfv3kyZMoXPP/+c+fPnExQUxNVXX8348eNdXdole3BBlO3rA8CvB3zpEGXk8WvzXFdUA9Fq27R8PWq5bVq9Hl1l5syZQPXv7MePH2fJkiWkpaWxYMGCRj20WwhRNwmeNKR58+YkJydz5MgR0tPTWb16Ne3bt6djx44YDAZXl+dUBQUFWK1W6fEkGr2yCpWoNt05dWI3e7Z+QZ8rH7Zbn7H9Wzw9ffD2DbYti47rc8nH9dDBzsNW+iU27k+otWTq1KlnXafX61myZEmd68aPH1/rpm/YsGEMGzaszu29vb2ZOHEiEydOvPhi3VBycjLJycmuLqPB/fe+k64uwWG03DatXo+g3bZp+Xp0he7du9u+7t27NxaLhXnz5pGZmampod5CiGoSPGmMoii0adOGli1bsm/fPvbu3UtmZiadOnUiLi7urBPKak1ubi6enp4EBspYYdG4VZrAw+BHuy4j2b2ldvC0e8tSEnrfyMG0723LXrrHi4HXPcOg66fX2p+5ysjnb95A1uE/uP2RVUS1qf7Fb9uG/7Il5S0KTh3ELzCCrgPvol2Lp+iX6OPQ9gkhhBBCWCzVw7RCQkJsy3788Uc+++wzjh49iq+vL3379mXChAm1fr+vqKhgwYIFrF27luLiYuLj45k8eXKdPYSFEK7RNFKIJsjDw4NOnToxatQoWrRowbZt2/j+++85efIkqqr9R6Xn5uYSGhraZII2oV1Gc/XfiZeN5eShLRTlHf1zXUUxB9O+p1PfW+q1L6vFzFfvjScr83duf+Q7W+j007ev8t3CvxGbOIyb//Elva64n5+/e503X/pbg7dHCCGEEMJkMmEymSgvL2fHjh18/fXXXHPNNbZJ6NetW8fMmTOJiYnhscce4/bbb2fLli088cQTmEwmu319+eWXHD9+nPvuu4/JkyeTm5vLc889h9lsdkXThBB1kB5PGufj48Nll11G+/bt2bFjB5s2baJ58+Z069aN4OBgV5fnEKqqkpeXR/v27V1dihCXpNKkYv3fk+zadR2JwdufPb99Qd+rpgCw7/ev8Q1oRqv2A867L9VqZcWH93Jkz4b/hU49qo9RXsRPK16mx5B7GTFuDgBtOyfj4x/Gyvn3k54+jaSkzo5poBBCCCGapOuuu87ue39/f9q2bYuqqqiqyvz58+nbty+PPvqobZsOHTrw8MMPs3btWrunuN54441MmjTJ9n10dDTTpk3jp59+YvDgsz+cpS5Wq/W8H9JbLZf2ABarxWLr4eVINcdwxrEaw3vizPejqdVRn4dHSPDURISEhDB48GCysrLYsWMHKSkpxMbG0rlzZ3x8tDWUpri4GJPJJPM7iUbPdMYHdZ4GH9p3HW0XPO3a8jmd+oxFUc4/Afj6pU+Tdfh3Lr/2KVq07WVbfuLgL1SZymnf7Wqslj8P2L7baAC+T1kjwZMQQgghGtScOXNsX9f0enr33XfZu3cvN954I3l5edxzzz12r+nQoQORkZGkpaXZBU9/vZdJTEzEy8uLI0eOXHBdGRkZ5+0pdfRw0QXv90yZmZlY1PxL2seFyMjIcPgxGtN74oz3oz60VEfnzue/V5DgqQlRFIUWLVoQGRnJwYMH2bVrF0ePHiUhIYEOHTrg4aGNyyE3NxdFUQgNDXV1KUJckr/GSR0vu4llb4+lMPcwBu8ADu9ez5AbZ9RrX3nZ+4hJGMxva96h++CJBIa2BKCitPo/+c/mXlfn67KyZDJVIYQQQjSsjh072n3fs2dPLBYLX375pe3hF3WNzggKCqK4uPi8+/f19aWwsPCC64qPjz9vjye9kgP8fMH7rhEbG0t8QsRFv76+LBYLGRkZxMfH16tHyqVoDO+JM98PqaM2bSQN4oLodDrbI7n37NnDnj17OHToEElJScTExNSr94Q7y8vLIygoCE9PT1eXIsQFUVUVo9FIaWkppaWlFBSV2a2PS7oSL58g9v72JV6+QQSHt7ENmTufUXf/mzYdh/DeU11Yveghbv7HlwB4+QYBcN3/LSQ00n54qgI8NDH60hsmhBBCCHEeUVFRALbf4esKjgoLC23zQJ2NxWKhqKjooqYVqc/8sLpLvEnX6fVODRz0TjheY3pPnPF+SB21SfDUhBkMBrp27UpcXBxpaWls2bKF/fv307VrV5o3b+7q8i5abm4ukZGRri5DiDpZrVbKy8spKyuzBUylpaW278/s3u3t7Y2iWFHV6l+CPDy9iO9+DXt/X47By4/EPvWbVBzAPygCv8DmDB3zAqs+epDdvy4lsc9YouP6oPcwUFJ4gs79brVtn3MsnQ1LH+XIFf8kpnXrhnsDhBBCCCHqkJ6ejl6vJzo6mtDQUDZu3MgVV1xhW793715ycnK4+eabz7mfH3/8EavVSo8e9ftwTgjheBI8Cfz9/enfvz+5ubls376d1NRUWrRoQdeuXQkICHB1eReksrKS0tJSmd9JuJTZbD5rsFRWVmbrwq0oCr6+vvj7+xMWFkbr1q3x9/fH398fPz8/PD09eXz6bMqNf+478bKb+OzNG1AUnW0y8AvRfci9pP20iJRPphLb6Qp8/cPoO3IaG76cgbGihJiEQZQUnGTDVzPw8lTo2rVrQ70tQgghhBAAbNu2Daj+QK6oqIiffvqJzZs3c8899xAYGMjdd9/NnDlzmDVrFgMGDCA/P59PP/2UNm3aMHz4cLt9bdy4kaCgIJo3b87hw4dZsmQJ/fr1q9e8M0II55DgSdiEh4dzxRVXcOzYMdLS0li9ejXt2rWzTdDnTlRVxfq/4dc6BdvwwLy8PAAJnoRDqaqKyWSyC5TODJgqKips2+r1eluQ1KJFC1uw5O/vj6+v73m7dHsboOKMpwbHdhqOt28wgaGtCG/R8ewvPAtFURh55zv89/l+rPn0Ua6dNI8hN/4T/+BIfl/3Hr+smo23bwhtOw/jxRdfIigo6IKPIYQQQghxLk899ZTtax8fH1q3bs3UqVNJTk4GIDk5GYPBwOeff86mTZvw9fWlT58+TJgwAYPBYLeviIgIUlNTyczMxNPTkyuvvJIJEyY4tT1CiHOT4EnYURSF1q1b06JFC/bv38+ePXs4fPgwiYmJtGvXziXjUE1mleJyCyUVVorKrZRWWrFY7bfRKeDrpWAqh8BmsaD3dnqdQltUVT3nkLiqqirbtl5eXvj5+eHv70/z5s1tQZO/v///hstd/LxpG1JTeW1ZFTXzXOo9PJn2Tnat7R58/c8nUjw9/88uUjEJg+2+B4ho3YUnP7SfP6rXsPvpNex+2/c6HST3l3nSXO3EiRP1mkTVVbKysgD3r/NC1bQrK89Eabnr519oSNn51Um2ltumtesR5GetMSqpcO2j0t3V+PHjGT9+fL22HTx4MIMHDz7nNqtWrWqIsoQQDibBk6iTh4cHHTt2JDY2lp07d5KWlsbBgwfp0qUL0dHRDp+AXFVVCsqsHM+toqDMik4BVYWzPWPCqkJppYqqBOPTLJDfDlTi56XQKtyTZoF6dLrGPWG6cAyLxWIXLP31a6v1z4SzZkhccHAwLVu2tBsS99dP3hpSoJ9CfLRCxnH1rNd/Q9MpkNRGwcdLfm5cxWq14uXlRWJioqtLOS+Dh9Io6rxQBoOBIQ/td3UZDmHwULTbNoNBk9cjaLdtWv5Z8/LysvtdQmhDcLAPBoMek+nCw0WDQU9wsI8DqnIteU/E+UjwJM7J29ubXr160b59e3bs2MHmzZsJDw+nW7duhIaGNvjxVFUlq8DMkdNmqiyqrZeHtZ533NWBWPUnZmVGlYyTJvZnQVSIBzHNPPHQy410U3OuIXHl5eW27XQ6nS1IioyMtAuW/Pz8XPrUiYFJevafNKM68XfXyztp65Pnxkan02E0Gjl27BiBgYGuLuesTpw4QWJiIls/SCDAVzvXTFaeiSEP7Xf79/9iaPWcQdM4b1prm1bbBVBcXEyrVq3q9ZQ00bhERAay+IuJFBZW1FpntVjIzMwkNja2zie9BQf7EBGprWsd5D0R5yfBk6iXoKAgBg0aRHZ2Ntu3b2ft2rXExMSQlJSEr69vgxyj3Ghlz3Ej5Ua13kHT+VhVQIWT+WZyCs10bOlFiL+2ftFu6lRVtU0qX1fPJZPpzwmSPD09bYFSWFiY3XxLPj4+Du/Jd7HaROjo2lYh/ZCK2cHhk4ceesfriAqTX5TdQWBgoFvfjNUM+Qnw1WsqxKgZ8uPu7//F0Oo5g6Zx3rTWNq22S2hfRGRgnWGJxWLBouYTnxDh0g8tXUHeE3EuEjyJCxIZGcmIESPIzMxk586dHD9+nPj4eBISEvD0vLj5YFRV5XiemcxTf85j09CsKlgtkH7ESESwnrhIg/R+akSsVus5h8RZLH926/Xx8cHf35/AwEC7ybz9/PzcbpL8CzH6Mg8yjldhrnTscfy9YURP+aVACCGEEEII0TAkeBIXTKfTERcXR+vWrdm7dy8ZGRlkZmbSqVOn6i6UF9Cl2GpV2XXMSGGZ1WGh05lUIKfIQmFZJd1ivfDylF4d7qKqqqrWcLgzh8Sp/7tAdDqdbb6lmom8zxwS5+GhzX/WvA0K46/w4MNV5lqT6zcUTw8Yf4UHnh4SygohhBBCCCEahjbv0IRTeHp6kpSURNu2bUlPT+f333/nwIEDdO3alcjIyPO+3mpVSTtipKTC2mBD6+pDVcFYpfLHoUq6x3rjbZDwyRlUVcVoNJ51SJzR+OeT1zw8PGyBUkhISK0hcU11voRWzXTcmezBorVmzA38sBxPD5hwpQeRoU3zvRVCCCGEEEI4hgRP4pL5+fnRt29f2wTkGzduJCoqii5duhAUFFTna6yqys5jzg+daqiAyQzbM430iPPGID08GoTVaqW8vPysPZfMZrNtW29vb/z8/PD39681mbeXl5fbzrfkanFROu69yoPF681UmLjkAMpDXz28bvxwDyJDJHQSQgghhBBCNCwJnkSDCQsLY+jQoZw4cYIdO3aQkpJC27Zt6dSpE97e3nbbHsyuoqjMNaHTmUwWlbQjlfRs6y1BRz2ZzeY6nxBX83fNkDhFUWxD4sLDw4mJibELly52TjABLZvpmHKjJ6u2Wvg9o3rc3YX+LOn+d7n3SdAxvLtehtcJIYQQQgghHEKCJ9GgFEWhZcuWREVFceDAAXbv3s2RI0fo2LEj8fHx6PV6isosZOWbcXHmBFQPu6swqhzPq6JVuMHV5bgFVVUxmUy2IKmkpMQuaKqs/HN2a71ebwuTzpzI29/fH19f3yY7JM4ZDJ4K1/XzoFd7Kz/tsrDzsIpeB1Xn6QHl6QFWK3Rtq6N/J530cmqi7rrrLpKTkxk/fryrSxFCCCGEEBonwZNwCL1eT4cOHWjTpg27du1i586dHDx4kM5JXciqDHeL0KmGVYXMHDNhAR74ejWNm3BVVescElfzfVVVlW1bLy8v25C4msm8a7739paeYq4WHa7j5sE6ru6jsuuIlaOnrBw9pZJfim3Cfp0CoQHQurmOmAiFTjE6vA1y3hqj2bNns3btWtv3np6eREVFMWzYMG6++Wb5eTyP3BI9H6wPpnmghYlDC11dToNITU3lk08+ISsri6CgIIYPH84dd9yhmUdWa/GcgbbPm1bbptV2CSGEM0jwJBzKy8uLHj160K5dO9LS0th9pBjf0BAUxb3+k1aB3ceM9IzTTpBisVjOOSTOav3z0Wg1Q+JCQkJo2bKlXc8lGRLXOPh6K/TuoKd3hz9/tiz/G3+n12njmhbVOnTowJNPPomqqlRUVLBhwwYWLFhAREQEQ4YMcXV5bmvi+1GoavXPQvPAchdX0zC2bdvGa6+9xvjx4+nTpw9Hjx7lnXfeQafTceedd7q6vEumxXMG2j5vWm2bVtslhBDOIsGTcIrAwEAu6zuAn/eVA+55E1xuUskvtRIW4F6h2LmcOSTurwFTefmfv6TrdDpbT6W/TuTt5+cnn9ZplARO2mQwGIiIiLB9HxkZyWeffUZeXh5QPcn/Z599xurVq8nPzyciIoIbb7yRUaNG2e0nLy+PuXPnsnnzZiwWCwMGDODvf/97rTn5tOLFsacB+PCHYNcW0oBWrFhBv379uO222wBo27Ytubm5LF26lPHjxzf64c5aPGeg7fOm1bZptV1CCOEsEjwJp8kqqEKnKC6fUPxsVBWO51W5VfCkqiqVlZV1PiGutLQUk8lk29ZgMNiGwIWHh9u+9vf3x8fHRzM9uYQQfzIajSxfvpyQkBAGDRoEwCeffMI333zD/fffT9u2bUlPT+f999/H09OT5ORk22s3bdrEzTffzMsvv0xubi5vvPEGixcvZuLEia5qjkNFhVQ/VdPg4ab/CV2EjIwMrr32WrtlSUlJzJs3j+zsbFq0aOGiyhqGFs8ZaPu8abVtWm2XEEI4iwRPwilUVeVEntltQ6cahWVWKkxWfAzO++TKYrFQXl5eK1Sq+dpi+XO2aB8fH/z9/QkMDLSbzNvPzw8vLy+n1SyEcJ2dO3faboDMZjOqqpKcnIyHhwcmk4mlS5cyadIkhg0bBkCbNm04deoUixcvtguerrvuOsaOHQtAu3btuPHGG1m6dKlmgyctKioqwt/f325ZQEAAAIWFhXIz7Ka0fN602jattksIIZxFgifhFHmlFizW8283/92XWPjvmaTuLKvXflctX8SsZ+7n0+93ExUdc4lVgqLAyXwzcZEN+4S7qqqqcw6JU/83C7ROp7MNf6uZyPvMIXEeHvIjK0RT1759ex555BGgOng6ffo0n3zyCVOnTmX69OmYTCYSExPtXpOYmMiyZcsoLy/H19e3zv22adOG0tJSSkpKbDdUwr2pqnrWodLSy9V9afm8abVtWm2XEEI4i9zFCqfIL7a4fW8nqB5ul1tsIS7yQl+nYjQa6xwOV1paitFotG3r4eFhC5RCQkLsJvL28fGReQKEEOfk5eVFq1atbN/HxsYSGhrK5MmTSU9Pr/M1NeH2uW6Qap5mWbOtcH/BwcGUlpbaLSsuLgYgKCjIFSWJetDyedNq27TaLiGEcBYJnoRTFFXUo7uTm6isUrFY1VoTM1ut1nMOiTObzbZtvb29bWHSXyfz9vLykk/HhBANqqKiAoCoqCgMBgO7d++mbdu2tvW7du0iIiICHx+fs+5jz549REZGEhgY6PB6RcNo164d6enpjBkzxrYsPT2dwMBAuwnohXvR8nnTatu02i4hhHAWCZ6Ew1lVlQrjxX2CvnXzOha+9wqHMnai13vQe8AV3DflRZpHtbTbbveOLbz42D1k7NlOSGgzbhz3ALfe8zAAWSeOcNuVifxz9iLWr/6C335ai97Dg0HDr+PBJ17F19d+zL6CyuFjOZgri+wCprKyMrteA76+vraJvGNiYux6LsmQOCGEo5hMJnJycmxfHzp0iEWLFtG2bVu6devGmDFjWLRoEb6+vsTFxbFjxw6+/fZb/v73v9vtZ9euXbYbpx07drBixQqmTp3qiiY5RbmxOvC3qGC2Vn+v04G3Z+Pt4TV69Giee+45vvzyS3r37s3BgwdZsmQJ1157rSaeVqrFcwbaPm9abZtW2yWEEM4id8fC4covMnRKWfEpM5+8l6FX3cS4e6dRVJDH/H+9xN/GD+WDz38iJKy5bdu5Lz7MhAenc8+Dz7Bi6X95b/bTtI7tQP8hI23bzJ7xECNvuIMX31rC3vStfPjWDIJDwvm/Kc/bHdditbA74wim4uO2IOnMibz9/f3x9fWVIXFCCJfYt28fd999NwB6vZ6QkBAGDhzILbfcgsFgYNy4cej1ehYsWEBBQQERERFMmjSJESNG2O2nuLiYOXPmkJubS1hYGP/3f//H4MGDXdAi53hwQZTt6wPArwd86RBl5PFr81xX1CXq3bs3U6ZM4fPPP2f+/PkEBQVx9dVXM378eFeX1iC0eM5A2+dNq23TaruEEMJZJHgSDldutKIo1fMn1ZfVauW92U/Ts+9Qnnt9oW155+79uPu6nny+8C3um/qibfmkf8zgulvuBaBT1z5s/mEl27ak2gVPfQddyd8efRmAnn2HsvXn9fy8cVWt4Emn09M+IYkOLS+TIXFCCLcybdo0pk2bds5t9Ho948aNY9y4cWfdZuHChWddp1X/ve+kq0twiOTkZLunFWqJVs8ZaPu8abVtWm2XuDg52cUUFlbUWm61WDh6uAi9koOujt5wwcE+REQ27JB2d6rFHbjL++EudbgLCZ6Ew1lVQAEuIHg6lplBfm4Okx6eYbc8unVbErv2YduWjXbLu/Tsb/vax9ePkLDmlBYX2W3TqVsfu++bRUSTffJoHUdXQKeX0EkIIYQQQghhJye7mHFj5mEyWc6x1c91LjUY9Cz+YmKDBQvuVIs7cJf3w13qcCcyVkg4nGrlgkIngOKiAgBCw2tP2BgaHkFpiX2o5O3jZ/e9otNhVe0nNPfy9qm9jbXuSc/PslgIIYQQQgjRhBUWVpwnUDg7k8lSZy8YLdTiDtzl/XCXOtyJBE/C4RQd1NV5aG/677w3+2m7p8FZrRYMXt4EBoUAkJ+bU+t1+bnZBAWHOaxeAL38ZAghhBBCCHHBMjIyGDlypO3PY489dkGvnz17NnfddZeDqhNCuILcXguH0yt1d3jKPLibJfPfIPvEYduyU1nHaBYRTavYeELDI1j77Wd2rzl5LJNd238lqUc/x9YsPxlCCCGEEEJcsJYtWzJz5kxmzpxJbGysq8sRQrgBmeNJOJyvlw61jqFrvfsPx9vHjzdfmsot9zzMscP7Wb/6C2656yF0Oh2THp7BrGfuZ8Yjd3HVdbdTVJDHgn/NJCAohLF3TXZYvToFfL3k0bhCCCGEEEJcKF9fX7p37w6Av7+/i6sRQrgDCZ6Ew/l6KXVOLh7ePIqX3v6MD954jmceugU//0BuGv837vrbUwCMvP4OfP0CWPzB6zzz0K34+gdy2YDhTPrHDMLCIx1Wr6pCgI90eRJCCCGEEKIhZWdnM2/ePLZv305VVRXt2rXjzjvvpEuXLrW23b59O4sXLyYjI4PQ0FDGjBnD1VdfbVs/e/Zs0tLSmDx5Mp9++ikHDhyoczshhOtJ8CQcTlEUfA0KZcbaA+569h1KzyVDz/rawcnXMzj5+rOuH3n9HYy8/o5ayz9L2WP7Oio6htSdZbW2efKl9+vcpwr4eckT7YQQQgghhGgohYWFTJs2DV9fX+699168vb1Zs2YNTz/9NDNnziQpKcm27enTp3nttde46aabuOGGG0hNTeXdd9+lbdu2JCYm2rY7deoUc+fO5aabbmLMmDFn3a6+rFYrqnrupyJZLRc3afSZr7dc4j7csZazqdm/o48D7vN+uEsd59KQ50WvP/9oIQmehFME+eooMzr+H5uG4GNQ0OkkeBJCCCGEEKKhfPnll5SWlvL2228TGhoKwMCBA/n73//O/PnzmTNnjm3boKAg3n//ffz8qp9c3b17dzZv3sxvv/1mFygFBwfXa7v6ysjIsHvwUV2OHi465/rzyczMxKLmX9I+3LGW88nIyHD4Mdzl/XCXOuqjIc5L586dz7uNBE/CKcIDPcgqtHCeDxBcTqdAs0CZ30kIIYQQQoiGlJaWRseOHW2hE4BOp+Pyyy/nk08+obKyEm9vbwAMBoMtTALw8fEhMDCQvLw8u33Wd7v6io+PP2+PJ72SA/x8UfsHiI2NJT4h4qJf7661nI3FYiEjI4P4+Ph69Yy5FO7yfrhLHefizPMCEjwJJwn202HQKxjN7p08WVVoESo/FkII93DixAmKi4tdXcZZZWVlVf+dZ6K0XDuhfXa+CXD/9/9iaPWcQdM4b1prm1bbBVBSUuLqEtxOcXExkZG152kNDg7GarVSWlpqC57q4unped5Q6EK2q4tOd/55XnWXeJOu0+sb7EbfnWo5H70TjuUu74e71FEfzjgvIMGTcBJFUWgZ7kFmThVWN86eQv11eHnKxOJCCNeyWq14eXld1DABZzN4KAx5aL+ry2hwBg+lUbz/F8NgMGjynIHGz5tG22YwGDTZLgAvLy+s1joe7dyEWCwWPD09AQgMDKSwsLDWNoWFheh0OnkCnhAaJsGTcJqIYA8O5VS5uoyzUhRoGe7p6jKEEAKdTofRaOTYsWMEBga6upyzOnHiBImJiWz9IIEAX+30nsnKMzHkof2aaxf82TZ3v7YuhlavR9DuNanl67G4uJhWrVrVqweNlp06dYru3bsD0KVLF5YvX05ubi7h4eFA9QctP/74Ix06dDhnbychROMmwZNwGk+9QqswD47nmd2u15MCBPjoCPZt2r8cCCHcS2BgoFvfjNUMjQnw1WvqZrhmCJrW2gV/ts3dr62LodXrEbR7TWr5emyq1qxZg4eHB35+fvz888/k5uYyZMgQAG644QbWrl3LE088wdixY/H29iYlJYXjx48zc+ZM1xYuhHAoCZ6EU8U08+R0sYUKk3slT4oCHaMNKIo8zU4IIYQQQoiLceDAAdauXYvFYiE6Oponn3ySHj16ABASEsLrr7/Of//7Xz744AOqqqpo164dL730El26dHFx5UIIR5LgSTiVTqfQsaUX2w5V4i7Rk6JAXKQBb4P0dhJCCCGEEOJiPfDAAzzwwANnXd+iRQueeeaZc+5j2rRpdS5fuHDhRW3X0IKDfTAY9JhMlgt+rcGgJzjYR5O1uAN3eT/cpQ53IsGTcLoAHx2tmnlwLNfMRT5wosEoCgT66IgK0U63dSGEEEIIIYRjREQGsviLiRQWVtRaZ7VYyMzMJDY2ts4nmwUH+xAR2XDDSt2pFnfgLu+Hu9ThTiR4Ei7RppknlUaV3BKLy+Z7UhTw8VTo3NpLhtgJIYQQQggh6iUiMrDOcMBisWBR84lPiHDKI+rdrRZ34C7vh7vU4S5kbJFwCUVRSGhpIMRfj84FmY+igLenQtdYbzz0EjoJIYQQQgghhBCOIMGTcBlFUejUykCzID3O7HCkU8DXoNC9rTcGDwmdhBDal5aWxsiRI8nJyXF1KUIIIYQQoomRoXbCpRRFoUMLAyF+FjJOGrFYrCg6x3U5VIDoMA/aNPNE54quVkIIcQlSU1OZNWuW7ftZs2bJk4AuQG6Jng/WB9M80MLEoYWuLqfBaLVdqampfPLJJ2RlZREUFMTw4cO54447NDM0QavnDbTZNq1fj0II4UgSPAmXUxSFZoE60v/Yii4wDg/f0AafdFyngMFDIbGVFwE+0tFPCNE49e3blwULFnD69GkeffRRV5fTqEx8PwpVrf7AoXlguYuraThabde2bdt47bXXGD9+PH369OHo0aO888476HQ67rzzTleXd8m0et5Am23T+vUohBCOJsGTcAsHDx4kPzeHoUmdwGDgyOkqyo3V6dOlZFCKAp56aBnmSXSoh/RyEkI0at7e3nh7e9danpOTwwcffMC2bduwWCwkJiYyadIkYmNj7bbbtWsXc+fOZc+ePYSGhnLnnXcydOhQ2z7uvvtuJk2aRHp6Ort27cJgMHDDDTcwZswYp7TPkV4cexqAD38Idm0hDUyr7VqxYgX9+vXjtttuA6Bt27bk5uaydOlSxo8fj07XuD9E0up5A222TevXoxBCOJr8Kylcrry8nPT0dOLi4mjWLJxmQR70audDj7beNA+unv9JUajXJOS6M7YL8dPRuZUXfeN9aBUuQ+uEENpUVVXF008/TWlpKc8//zyzZs0iICCAJ554guLiYrttP/vsM6655hreeustevfuzZw5czh9+rTdNsuXL6d///68/vrrjB49mg8//JB9+/Y5s0kOERViJirEjMHDRY9SdRCttisjI4P4+Hi7ZUlJSRQXF5Odne2iqhqOVs8baLNtWr8ehRDC0SR4Ei6lqip//PEHHh4eJCUl2a3z99GREO3FgAQfurbxom2EJ80D9Xh7Kuh11WGUQnXQ5OkBof46Ypp50qm1F/07+NCljTehAXoUZ85cLoQQTpaamkpubi5PPfUUnTp1okOHDjzyyCMYDAZWrFhht+2MGTMYMGAAMTEx3H777ZjNZvbv32+3zbRp00hOTqZ169bccsst+Pj4sHv3bmc2SQiKiorw9/e3WxYQEABAYWGhCyoSTZlcj0IIcWlkqJ1wqePHj3Py5En69++PwWCocxu9TiHIV0+Qr57oMCcXKIQQbu7w4cNER0cTGBhoW+bp6Un79u3JzMy02/bMID4oKAiAsrKys26j0+kICAiotY0Qjqaq6lknbZYPlISzyfUohBCXRno8CZcxmUxs27aNFi1aEB0d7epyhBCiSZGbJeHOgoODKS0ttVtWM3S0JjQVwlnkehRCiEsjwZNwmbS0NMxmMz169JAbICGEuAA1N0De3t60adOGEydO2M3nZDKZyMjIqDW5uBCNRbt27UhPT7dblp6eTmBgIBERES6qSjRVcj0KIcSlkeBJuMTp06c5dOgQSUlJ+Pr6urocIYRwe7t27SIzM5PDhw/z6aefEhwcTExMDIMHDyYsLIyZM2eye/duMjIyeO211zCZTFxzzTWuLtttlBsVyo0KFhXM1urvK6sa/4ceWm3X6NGj2bJlC19++SXHjh0jNTWVJUuWMGrUqLMOeWpMtHreQJtt0/r1KIQQjiZzPAmns1gsbN26lbCwMOLi4lxdjhBCNArr169n3bp16HQ64uLimDFjBl5eXgC89NJLvP/++zzzzDNYrVY6duzIyy+/bDfvU1P34IIo29cHgF8P+NIhysjj1+a5rqgGoNV29e7dmylTpvD5558zf/58goKCuPrqqxk/fryrS2sQWj1voM22af16FEIIR5PgSTjdnj17KC0tZcSIEeh00ulOCCHqY/LkyUyePLnOdZGRkTz77LNnfW2XLl1YtWpVreVnLouIiKhzm4ULF15Ete7nv/eddHUJDqHVdgEkJyeTnJzs6jIcQsvnTatt0/L1KIQQjiZ3/cKpiouL2bt3LwkJCTIZoxBCCCGEEEIIoXESPAmnUVWVrVu34uvrS2JioqvLEUIIIYQQQgghhINJ8CSc5tChQ+Tm5tKrVy+ZiFEIIYQQQgghhGgCJHgSTlFRUUFaWhqxsbE0b97c1eUIIYQQQgghhBDCCWRyceEU27ZtQ6fT0aVLF1eXIoQQQgghhBCiAeVkF1NYWFFrudVi4ejhIvRKDro6Rr0EB/sQESlP4dU6CZ6Ew504cYLjx4/Tt29f26O/hRBCCCGEEEI0fjnZxYwbMw+TyXKOrX6uc6nBoGfxFxMlfNI4GWonHKqqqoo//viDqKgoWrVq5epyhBBCCCGEEE42bdo0Ro4cyezZs11dinCAwsKK84ROZ2cyWersKSW0RYIn4VDp6elUVVXRo0cPFEVxdTlCCCGEEEIIJ8rJyWHPnj20atWKzZs3YzKZXF2SEMLJJHgSDpOXl8eBAwfo3Lkzfn5+ri5HCCGEEEII4WSpqan4+fkxdepUysvL2bJli6tLEkI4mczxJBzCYrGwdetWQkJCaNeunavLEUKIRunEiRMUFxe7uoyzysrKqv47z0Rpee0JQxur7PzqT+O11i74s23ufm1dDK1ej6Dda1LL12NJSYmrS3AbqampDBw4kISEBNq0aUNqaiqXX365bf1jjz2GqqqMGDGCpUuXkpWVRXR0NA888ADBwcEsWrSIbdu2YTAYGDZsGBMmTECv1/Pjjz8yc+ZMZs6cSffu3e2OOXnyZEJCQnj++eed3VwhRB0keBIOsW/fPoqLixk+fDg6nXSsE0KIC2G1WvHy8iIxMdHVpZyXwWBgyEP7XV1Gg9NquwAMHkqjuLYuhqbPm0bbZjAYNHs9enl5YbVaXV2GSx05coTDhw/z97//HYArrriCjz76iLKyMrsRETt37qS0tJSxY8fi6+vLggULeP7551FVlauuuorHH3+c9PR0li1bRps2bUhOTqZ///6EhYWxcuVKu+Bp7969HDhwgBkzZji9vUKIuknwJBpcSUkJu3fvJj4+npCQEFeXI4QQjY5Op8NoNHLs2DECA933KS8nTpwgMTHR7eu8UFptF/zZtq0fJBDgq52eM1DdG2jIQ/s1fd601jattguguLiYVq1aNfkPYH/44QciIyPp1KkTAEOGDGH+/Pls3ryZ5ORk23Zt27bljTfewNPTE4Dy8nLmzJnDU089xcCBAwG47LLLSE1N5Y8//iA5ORm9Xs9VV13FkiVLyM/PJzQ0FIBvv/2WqKgoevfufcH1Wq1WVFW96PZaLBa7v13JmbVYL/EYVovF4XW6y7nRYh16/fl/n5DgSTQoVVXZunUrPj4+tv9ghBBCXJzAwEC3vhmrGRrj7nVeKK22C/5sW4CvXnPBU80QNC2fN621TavtEn/asGEDffv2tZ1rT09PEhIS+OGHH+yCJz8/P1voBBAeHg5AUFCQ3f6aNWtGQUGB7fuRI0eyZMkSVq9eze23305xcTE//vgjd91110U92CgjIwOz2XzBr6trP+7CGbUcPVx0Sa/PzMzEouY3UDXn5i7nRkt1dO7c+bzbSPAkGlRmZianT59m0KBBeHjI5SWEEEIIIURTtGfPHrKzs1m+fDnLly+3W6fT6SgoKDjr6Iiz9aDw8PCwG74YFhZG3759WbVqFbfccgspKSkoimIXal2I+Pj4S+7xlJGRQXx8fL16gTiSM2vRKznAzxf9+tjYWOITIhquoDq4y7lpqnVIMiAaTGVlJWlpacTExBAZGenqcoQQQgghhBAu8sMPP9CqVSseeOABu+Vms5nnn3+ejRs3ct11113yca6++mp++uknfv31V7777juGDh1KQEDARe2roYZG6vV6lwdPNZxRi+4S969z4vvlLuemqdUhwZNoMNu3bwega9euri1ECCGEEEII4TIWi4VNmzZx5ZVX1nriHECnTp1ITU1tkOCpW7dutGrVin/961/k5eXxzDPPXPI+hRANq2nPdicaTFZWFkePHqVbt254e3u7uhwhhBBCCCGEi2zfvp2CggL69OlT5/o+ffqwd+9esrOzG+R4o0ePJi8vj8TERNq2bdsg+xRCNBwJnsQlq6qq4vfffyciIoKYmBhXlyOEEEIIIYRwoQ0bNhASEkKHDh3qXF8TSP3www8Ncryahxpdc801DbI/IUTDkqF24pLt2rULo9HIkCFDLurpEUIIIYQQQgjtmDp16jnXt2jRglWrVgFw22231VrfpUsX2/ozvfrqq3Xub/Xq1YSEhHD55ZdfRLVCCEeT4Elckvz8fPbv309SUhL+/v6uLkcIIZqEo0ePct9996HT6Vi4cKHtsdPi7FJTU/nkk0/IysoiKCiI4cOHc8cdd7jFxJ6XQqvtqpFboueD9cE0D7QwcWihq8tpMFo+b1ptm1bbpQUlJSWsXbuWMWPGyFO1XSQ42AeDQY/JZLng1xoMeoKDfRxQlXAn8pMpLprVamXr1q0EBQURHx/v6nKEEKLJ+P7772nbti0FBQWsWbOmzk+LxZ+2bdvGa6+9xvjx4+nTpw9Hjx7lnXfeQafTceedd7q6vIum1XbVmPh+FKpa3ZO6eWC5i6tpOFo+b1ptm1bbpRWrVq3CbDYzatQoV5fSZEVEBrL4i4kUFlbUWme1WMjMzCQ2NrbOp98FB/sQERnojDKFC0nwJC5aRkYGRUVFXHHFFQ326FEhhBDnZjabWb9+PePGjSMrK4s1a9Zw66232oY6P/bYY/j7+xMdHc2mTZsoKCigR48ePPDAA6xYsYL169dTVlZG586dmTZtGsHBwaxfv565c+eycOFCQkNDbcf6+uuvWbx4MR9//DEGg8FVTb5kK1asoF+/fraArm3btuTm5rJ06VLGjx/faP8P02q7arw49jQAH/4Q7NpCGpiWz5tW26bVdmnFzTffzM033+zqMpq8iMjAOgMki8WCRc0nPiFCegg2YfKvpLgopaWl7Nq1i3bt2tndpAghhHCsX3/9lfLycoYMGcKIESPIysoiPT3dbpstW7ZgtVp59tlnmT59Ojt27GDChAkUFRXxz3/+k5kzZ5KZmcmiRYsAuPzyy/Hz8+P777+328/KlSu58sorG3XoBNUflPy1Z25SUhLFxcUN9kQlV9Bqu2pEhZiJCjFj8FBdXUqD0vJ502rbtNouIYRwFgmexAVTVZXff/8dLy8vOnfu7OpyhBCiSUlJSaF///74+/sTExNDfHw8KSkpdtsMGTKESZMmERsbS8+ePUlKSqJjx45MmTKFdu3a0bFjRwYMGMCePXsAMBgMjBgxglWrVmGxVM/PsH37dk6cOMHo0aOd3saGVlRUVGsewoCAAAAKCwtdUFHD0Gq7tE7L502rbdNqu4QQwlkkeBIX7OjRo+Tk5NCzZ088PT1dXY4QQjQZ+fn5bN26lREjRtiWJScns2nTJsrKymzL/vqE0boe/uDv72/3mtGjR5OXl8dvv/0GwLfffkuvXr2IjIxs6GY4naqqZ+3e35ifxqrVdmmdls+bVtum1XYJIYSzyBxP4oIYjUa2b99Oq1atiIqKcnU5QgjRpKxduxar1cpTTz1Va92GDRvOOrFqXTdGf10WERFBr169WLlyJe3bt+eXX35hxowZDVO4iwUHB1NaWmq3rLi4GICgoCBXlNQgtNourdPyedNq27TaLiGEcBbp8SQuyPbt27FarXTv3t3VpQghRJOTkpLCqFGjeOedd+z+XHbZZbWG212M0aNH8/vvvzN//nwiIyPp0aNHA1Tteu3atas1D1Z6ejqBgYFERES4qKpLp9V2aZ2Wz5tW26bVdgkhhLNI8CTqLScnhyNHjtC1a1e8vb1dXY4QQjQpO3fu5MSJE1x77bXExcXZ/Rk5ciT79u3j8OHDl3SMXr16ERERwbp16xg9erRmhpCMHj2aLVu28OWXX3Ls2DFSU1NZsmQJo0aNatRP2NFqu2qUGxXKjQoWFczW6u8rqxr/Nanl86bVtmm1XUII4Swy1E7Ui9lsZuvWrTRr1ozY2FhXlyOEEE1OSkoK7du3JyYmpta63r17ExQUdMm9nnQ6HYMHD+brr7+2m0eqsevduzdTpkzh888/Z/78+QQFBXH11Vczfvx4V5d2SbTarhoPLvhzSP8B4NcDvnSIMvL4tXmuK6oBaPm8abVtWm2XEEI4iwRPol52795NRUUFgwYN0swn4EII0ZhMnTr1rOv0ej1Lliw56/pp06bVWjZ+/Pg6b5q2b9/OsGHD8PPzu7hC3VRycjLJycmuLqPBabVdAP+976SrS3AYLZ83rbZNq+0SQghnkKF24rwKCgrYt28fiYmJtkfHCiGE0J7du3ezb98+rr76aleXIoQQQgghNEKCJ3FOVquVrVu3EhAQQIcOHVxdjhBCCAf66quv6Ny5swypFkIIIYQQDUaG2olzOnDgAAUFBQwbNkwmTxRCCI17+umnXV2CEEIIIYTQGOnxJM6qrKyMnTt30q5dO8LDw11djhBCCCGEEEIIIRoZCZ5EnVRV5Y8//sDT05OkpCRXlyOEEEIIIYQQQohGSIInUadjx46RlZVFjx498PT0dHU5QgghhBBCCCGEaIQkeBK1mEwmtm3bRnR0NNHR0a4uRwghhBBCCCGEEI2UBE+ilh07dmC1WunRo4erSxFCCCGEEEIIIUQjJk+1E3ZOnTpFZmYmPXr0wMfHx9XlCCFEk3bixAmKi4tdXcZZZWVlAe5f54XSarvgz7Zl5ZkoLdfW02qz802Ats+b1tqm1XYBlJSUuLoEIZwqJ7uYwsKKWsutFgtHDxehV3LQ1fGU9OBgHyIiA51RYpPkLudFgidhY7FY+P333wkPDycuLs7V5QghRJNltVrx8vIiMTHR1aWcl8FgaBR1XiittgvA4KEw5KH9ri7DITR93jTaNoOHosl2AXh56rBara4uQwiHy8kuZtyYeZhMlnNs9XOdSw0GPYu/mCjhkwO403mR4EnY7N69m7KyMvr374+iKK4uRwghmiydTofRaOTYsWMEBrrvL2InTpwgMTHR7eu8UFptF/zZtq0fJBDgq60eT1l5JoY8tF/T501rbdPy9VhSbqHXpL3odE1zZpOPP/6YxYsXExkZyYcffoj+Lz0q3nvvPb7++muSkpJ49dVXWbNmDXPmzGHWrFl06dIFgLvuuosuXbowbdo0VzRBXIDCworzhBtnZzJZKCyskODJAdzpvEjwJAAoKipi7969dOzYkaCgIFeXI4QQAggMDHTrm8yaoTHuXueF0mq74M+2BfjqNXejXzN0UMvnTWtt0/L1KKrl5uby008/MWjQINuysrIyUlJS8PD481a0Z8+ezJw5k9jYWFeUKYRwMAmeBKqqsnXrVvz9/enYsaOryxFCCCGEEEJowNChQ1m2bJld8LR69WpCQkIIDQ21LQsNDbX7XgihLU2z76ewc/DgQfLy8ujVq1etbrBCCCGEEEIIcTFuuOEG9u/fT1paGlA9p+w333zDDTfcYDe1R1paGiNHjrRtVxdVVZkzZw7XX3896enptuUHDx7kueeeY8yYMdx0001MmzaNbdu2Oa5RQogLJsFTE1deXk5aWhpt27alWbNmri5HCCGEEEIIoRGxsbH06NGDZcuWAfDTTz9RWVlJcnLyBe/rP//5Dxs2bOC5554jKSkJgAMHDvDII48QGhrKlClTePjhhwkPD2f69OkcOHCgQdsihLh4MtSuidu2bRseHh62SfyEEEIIIYQQoqHceOONTJ8+nSNHjvDVV19x9dVX4+XldUH7WLRoEStXruTZZ5+le/futuUffvghw4YN47777rMt6927NxkZGaxevZoHH3zwgo5jtVpRVfWCXnMmi8Vi97crObMW6yUew2qxOLxOdzk3Wjwv9Rk1JcFTE3b8+HFOnDhBv379MBgMri5HCCGEEEIIoTE9e/YkJiaG2bNnc+TIEZ577rkLev1XX33F559/zpNPPknv3r1ty/+/vfuOj6rO9z/+njQSEtIogUAoAqE3lWKhRAVuKCp6reQCC5a9wBVEhGVXRGR1L0GDAqus9BJFUHQFYTHgj7AX2CAQJCwBIsRAAoQSUmgJmZnfHyEDMXQyc2Ymr+fjkQeZ73y/Z97fc2YmzGdOKSwsVEpKin7++WetWbOm3LijR4/edtYDBw6ouLj4tsddaznOwhFZDv+ad1fj09PTZbbmVFCaG3OWbeNO26V169Y37UPhqZIqKirSzp07FR4ernr16hkdBwAAAICbGjBggKZPn67o6GgFBwff8rhdu3Zpw4YNCg0NLXcRpIKCAlksFg0YMEBdu3YtN7Zq1aq3nTMyMvKu93g6cOCAIiMjDT93riOzeJqyJW294/GNGjVSZPOwigt0Dc6ybSrrdqHwVEmlpKSouLhY9957b5kT+wEA3NPSpUuVkJCgRYsWGR0FAFDJREVFaceOHXrqqadua9zFixc1YcIEffrpp3r77bcVGxsrPz8/SVJAQIBMJpOKi4sr7MrcHh4VcwpkT09PwwtPpRyRxeMul+/hwPXlLNumsm0XTi5eCZ06dUoHDx5U69at7+ibAACAMT788ENFR0dr5syZ5e5bvXq1oqOjNW7cOFvfwYMHOzqi09q4caNeeeUV9e/fXzExMVq4cKHh53moCO46r1KnCjz1l79X17z/F2x0lArlztvNnefmrs9HR/D29taECRNu+0iLLl26qGvXrpo8ebIyMzP13nvv2Q6F8/X1VfPmzbVhwwadPn263Njjx49XSHYAd489nioZs9ms7du3KzQ0VE2aNDE6DgDgNgUHB+uHH37Qc889p1q1akmSiouLtWLFCoWEhNj6vfTSSyoqKjIqplNJTk7WtGnTFBMTo86dO+vw4cOaNWuWPDw8NGjQIKPj3TF3nVepYZ/VkdVasld2rcDzBqepOO683dx5bu76fHQVTZs21YQJEzR58mR9/PHHeuONNyRJL7/8sv7whz9o1KhRevrppxUeHq7s7Gxt2LBB7dq109ChQw1ODkCi8FTp7Nu3TwUFBerZs2eF7UoKAHCciIgI+fn5admyZXrttdckSRs2bJC/v7/uuecenThxQpK0atWqGx5aV1RUpHfffVcnT57U1KlTFRwcrPz8fM2bN09JSUkqLCxUw4YN9bvf/c7lr3y6atUqPfDAA3rhhRckSffcc49OnTqlFStWKCYmxmX/HrrrvEr9+ZmTkqS5brZ3iTtvN3eem7s+H11Jp06dNHLkSM2YMUPVq1fXkCFD1KJFC8XFxemLL77QsmXLdP78edWoUUOtWrVSt27djI4M4DLXfffHbcvPz1dqaqqaNWt2Wyf1AwA4lxdffFEJCQnKzs6WxWLRihUr9OKLL97yOfuKi4v1l7/8RSdOnND//u//Kjg4WEVFRRo/frxycnI0ceJExcXFqV27dpo4ceIdXRnImZSexPNqbdq0UX5+vksfiuGu8ypVJ6RYdUKK5eN15yf6dUbuvN3ceW7u+ny0l5iYGK1du/aGfWJjYxUbGytJatu2rdauXVvmi45FixbZ9mwqFR0drbVr12rIkCG2tsaNG+utt97Sl19+qVWrVmnBggUaO3YsR3cAToTCUyVhtVq1fft2Va1aVS1btjQ6DgDgLjRr1kzt2rXTsmXLtGnTJnl7e+uhhx66pbFms1mxsbHKysrS1KlTbYfnbdq0SXl5eZo4caJatWqlRo0aaciQIapZs6YSExPtOR27y8vLU0BAQJm2atWqSZJyc3MNSFQx3HVe7s6dt5s7zw3A9QUH+8nH585OQu3j46ngYL8KTgTJubYLh9pVEocOHdKpU6fUvXt3eXmx2QHA1Q0cOFDjxo3Trl27NHTo0Fva28lqtWr69OnatWuXZs+eXeacUAcOHFBubq7+8z//s8yY4uJi2+F7rspqtV73qiyufGVXd52Xu3Pn7ebOcwNwfWG1AxX/9TDl5l4od5/FbFZ6eroaNWp0zausBQf7Kax2oCNiVjrOtF2oQFQCFy5c0O7du9WwYUOFhYUZHQcAUAFatGihNm3aKCcnRw8//PAtjTl58qSOHj2qCxcuaP369Xr22Wdt95nNZoWHh2vSpEnlxvn7+1dYbiMEBwfr7NmzZdry8/MlSUFBQUZEqhDuOi93587bzZ3nBuDGwmoHXrNQYTabZbbmKLJ52HUL07AfZ9kuHGpXCSQnJ8vDw0Pt2rUzOgoAoAKNGTNG77zzzi3vSRASEqLY2FiNGTNGixYt0rp162z3NW7cWNnZ2apSpYoiIiLK/ISGhtprCg7RpEkTpaSklGlLSUlRYGCgS38h467zcnfuvN3ceW4AgDtH4cnNHT16VJmZmWrfvr2qVKlidBwAQAWqUaOGateufcv9vb295eXlpaioKL300kuaMWOGNm/eLEl65JFHFBYWpokTJ2rz5s06cuSI9uzZo3nz5umHH36w1xQcom/fvtq2bZtWrlypI0eOaOPGjVq2bJn69Onj0t++uuu8Sp0vNOl8oUlmq1RsKbl98ZLrH67lztvNnefmrs9HAHAEDrVzY5cuXdLOnTtVu3Zt1a9f3+g4AAAnMmDAAJ05c0ZTp07VlClT1K5dO33wwQdavHixPv30U+Xl5SkoKEjNmzfXI488YnTcu9KxY0e9/vrrWr58uRYsWKCgoCD169dPMTExRke7K+46r1IjF9ax/f6LpKRfqqpZnUKNf/y0caEqgDtvN3eem7s+HwHAEUxWq5Vrgrqp5ORkHTp0SL179y53hREAgPPKz89XUFCQ8vLyFBjovCfczMzMVEREhNPnvF3uOi/pytz2x7dStaquvQfKbx07VaT7Xt7n1tvN3ebmzs/HgvNmNRv4b7fbZrgxs9ms1NRUtWjRwvC9/JwlCznIIXGonds6ffq00tLS1Lp1a4pOAAAAAADAEBSe3JDFYtH27dsVEhKipk2bGh0HAAAAAABUUhSe3ND+/fuVn5+v+++/Xx4ebGIAAAAAAGAMqhJupqCgQHv37lXTpk0VEhJidBwAAAAAAFCJUXhyI1arVTt27JCvr69at25tdBwAAAAAAFDJUXhyIxkZGTpx4oTuvfdeeXl5GR0HAAAAAABUchSe3MTFixe1a9cu1a9fX3Xq1DE6DgAAAAAAAIUnd7Fr1y5JUvv27Q3NAQAAAAAAUIrjsdzA8ePHdfjwYXXs2FG+vr5GxwEAVJCsrCzl5+cbHeO6jh07Jsn5c94ud52XdGVux04X6ex5T4PTVKzjOUWS3Hu7udvc3Pn5WHDBbHQEAHAaFJ5cXHFxsXbs2KFatWqpYcOGRscBAFQAi8WiKlWqqGXLlkZHuSkfL5NL5LxdPj4+bjkvqWRuPV5LMzqGXbj1dnPj15q7Ph+rVKkii8VidAwAMByFJxe3Z88eXbx4Ud26dZPJZDI6DgCgAnh4eKiwsFBHjhxRYGCg0XGuKysrSy1bttT2Oc1Vrar77K1w7HSReryW5vTr/06UbjPm5lp4rbme/Px8RUREyMODM5sAAIUnF3bmzBmlpaWpdevWqlatmtFxAAAVLDAw0Kk/jJUe8lOtqqdbfRguPeTH2df/nSjdZszNtfBaAwC4MgpPLspisWj79u0KDAxUs2bNjI4DAAAAAJVC9vF85eZeKNduMZt1+Nc8eZqy5eFZvkgcHOynsNoUWSsDniNlUXhyUWlpaTpz5oweffRRduEFAAAAAAfIPp6vgU/PU1HRjU4gv/WarT4+nor/ephbFhZwBc+R8ig8uaCzZ89qz549atq0qapXr250HAAAAADQ0qVLFR8fb7vt4+OjOnXq6LHHHtOAAQPkeY09PFxNbu6FmxQUrq+oyKzc3AtuV1RAWTxHyqPw5GKsVqt27typKlWqqHXr1kbHAQAAAIAy3n//fUklX5j/61//0rx585SVlaVRo0YZnAyAEThGywCDBg2SyWTS1KlTb3vs4cOHdfz4cd17773y9va2QzoAAAAAuHMdOnRQhw4d1LVrV7355pu67777lJCQoIsXLxodDYAB2OPJwQoKCvT111+rTZs2+uyzzzRu3DiZTKZbGltYWKhdu3apXr16Cg8Pt3NSAAAAALh7DRs21I4dO3Tx4kX5+vrKbDbryy+/VEJCgk6dOqUaNWqoV69eevbZZ8scjvePf/xDq1evVlZWlqpWrar69evriSeeUJcuXWx91qxZo++++05Hjx5VcHCw2rdvryFDhig0NNSIqQK4BgpPDvbFF1/IbDZrxowZioqK0g8//KDevXvf0tiff/5ZFotFHTp0sHNKAAAAAKgYhw4dUkhIiIKDgyVJM2fO1IYNG/TMM8+oSZMmSktL0+eff66TJ0/qtddekyStXbtWs2bN0nPPPafmzZsrLy9PW7ZsUWJioq3wNH/+fK1fv15PPfWUIiIilJOTo6+++kqTJ09WXFycW5xTCnAHFJ4cbP78+YqKilKPHj3UrFkzzZ49u0zhqbS9fv36+uSTT3TmzBn16NFDsbGxWrBggdasWaPTp0+rS5cumjt3rho2bKi//vWvGjlypPbv36/IyEjbspYtW6YXX3xRhw4dUsOGDQ2YLQCgIn344Ydav369JMlkMsnf319t27bVoEGD1KBBA4PTOb9TBZ6a82OwagWaNSwq1+g4FWLjxo36/PPPdezYMQUFBemxxx7Tf/3Xf7nFhy3m5rp4raGoqEgWi0V5eXlas2aNkpOTNXr0aEnSkSNHtG7dOr3yyisaMGCAJOnBBx+Uv7+/5s+fr6eeekr16tVTUlKSGjVqpEGDBtmW27NnT509e1aSlJ2dra+//lrTpk1TkyZNbH1q166tP/7xj/rll1/UrFmz28ptsVhktVpv3Md8ZyeNvnq8+S6XcStKH8MRj0WOslzhOVKR6+NW3gcpPDlQamqqkpKS9MUXX0iShgwZorfeektZWVmqW7eurd+yZcvUoUMHzZs3TxkZGRo5cqSio6Pl6+urjz76SGfOnNFrr72mESNG6Pvvv9fAgQM1duxYLVmyRFOmTLEtZ9GiRerRowdFJwBwI82aNdOECRNkNpt14sQJLVy4UOPGjdPs2bMVEhJidDynNeyzOrJaSw5trxV43uA0FSM5OVnTpk1TTEyMOnfurMOHD2vWrFny8PAo80HNFTE318VrDZL0xBNP2H6vWrWq/vjHP6pr166SSo7ikKSHH364zJhu3bpp3rx52r17t+rVq6eIiAj99NNPmjt3rrp06aLGjRvLz89PAQEBkqSdO3fKYrHojTfeuGaGo0eP3nbh6cCBAyouLr5hn8O/5t3WMn8rPT1dZmvOXS3jdhw4cMBhj3UjlSmHKz1HKmJ93MpFzyg8OdC8efMUHBysJ598UpI0ePBgvfXWW5o7d64mTZpk61dUVKRvvvnG9gFi8eLF2rJli3bt2qV27dpJKvkDuGTJEklScHCwBgwYoKVLl+rdd9+VyWTSsWPHlJCQoAULFjh2kgAAu/Lx8VFYWJgkKTw8XP/93/+t0aNHKyUlRd26dVNBQYHmzJmjpKQkXbhwQU2aNNGQIUPUtm1b2zISEhL0zTff6OjRowoICFDz5s01dOhQ2/kDd+/ercWLFystLU0BAQHq0KGDXnrpJdshEq7oz8+clCTN/X/BxgapQKtWrdIDDzygF154QZJ0zz336NSpU1qxYoViYmLk4eG615Bhbq6L1xokKS4uTpK0fv16rVmzpsxeFQUFBZKkoKCgMmNK/8bk5ZV8aI+JiZHFYlFCQoK+/vpreXh4qE2bNho+fLjq16+v3NxcSSVX0PP19S2XoU6dOredOzIy8qZ7PHmasiVtve1ll2rUqJEim4fd8fhbZTabdeDAAUVGRhq6Z15lzOEKzxFHbxfeJR2kuLhYS5cu1ZNPPqmLFy8qNzdXfn5+ioqK0ty5c8u8Gbdo0cJWdMrNzZW3t7dCQ0NtRSdJql69uu1NWZKGDRumX3/9Vf/85z8lSUuWLFHVqlX19NNPO2iGAAAjXLp0SZIUGBgoSfrzn/+sgwcP6g9/+IOmT5+uyMhI/elPf1JmZqYkadeuXfroo4/0xBNPaObMmRo1apQCAgJs96ekpGjixInq3LmzPv74Y02YMEGZmZmKjY01ZoIVpE5IseqEFMvH68YfKFxJ6X8Yr9amTRvl5+fr+PHjBqWqGMzNdfFag1TyeaZFixYaPny4OnTooOnTp2vfvn2SpGrVqklSmc8yknTmzBlJV/6eValSRS+//LKWLVumOXPmaNSoUcrMzLRdGbx0OQEBAbbHu/rnTr4s8fDwkKen5w1/PO7yQ7rHTZZfkT+SHPZY5HC950hFrY9bmtNdrRHcstWrVys7O1sLFy5USEiI7Wf9+vXKzMzU6tWrbX1L32wlKT8/Xz4+PrY31ut55JFH1KhRIy1evFhSyWF2zz77rKpWrWqfCQEADGWxWJSRkaF58+apadOmatOmjXbv3q3du3dr/Pjx6tChgxo3bqzf//73aty4sZYvXy5J+uWXX+Tr66tu3bopIiJCHTt21OjRo9WpUydJUnx8vPr06aNnnnlGDRs2VOvWrfXqq68qOTlZp06dMnLK+I28vDzbISelSv+/ULongKtibnAmbLM75+npqQkTJqhGjRp69913dfLkSdseuImJiWX6lt4u/bL98OHDkkrOaVivXj316tVL3bt3V3Z2tiSpffv2MplMtr9vVysoKNC5c+fsNi8At4dD7Rxk/vz5atCggRYuXFjuvqefflqzZ88ucyx0qfr16ys8PPymx16aTCYNGTJEH330kUaMGKG9e/fqs88+q6j4AAAnsWfPHj3++OMym82yWCyKiorS8OHD5enpqfT0dAUEBKh+/fplxrRo0UL//ve/JZWcwPWrr77SsGHDdO+996pJkyZ64IEHbIfv7d+/X3v27NH3339vG1962EF2drZq1KjhoJniZqxW63W/aTSZTA5OU7GYG5wJ2+zuVKtWTZMmTdLrr7+ud955Rx9++KF69uypRYsW6dy5c2ratKnS0tL01VdfqXfv3qpXr54kaerUqQoODla3bt0UGhqq48ePa/369bZzQ9WrV0+PP/64/v73v2vixImKioqSn5+fUlNTtW7dOn3wwQfy9/c3cuoALqPw5ADZ2dlau3atxo4dqx49epS7//nnn9fs2bOVnp5+V4/zu9/9TpMnT9aYMWPUtGlTPfTQQ3e1PACA82natKnGjh2rS5cuaerUqcrIyLjpmKvPVxEeHq558+Zpy5YtSk1N1erVq7VgwQJNmTJFbdu2lcVi0YABA9SrV69yy6lZs2aFzgV3Jzg42HZ1p1L5+fmSyp87xdUwNzgTttndq1+/vsaPH6/Jkydr2rRpmjBhgsLCwpSQkKAVK1aoRo0aev755/X888/bxjz//PP6xz/+oSVLlqigoEA1a9ZU//799eyzz9r6/P73v1eDBg20du1azZgxQ56enqpTp4769u3LFyWAE6Hw5ACLFi1ScXGx7YSEvzV48GB98sknd72HUkREhHr27Kl169bpvffeu6tlAQCcU5UqVRQRESGp5ISqY8eO1dtvv633339fjRo10tmzZ5WRkaEGDRrYxuzdu9d2hdPi4mL5+/urZ8+e6tmzp6xWq1599VX93//9n9q2bavGjRvr119/tT0GnFeTJk2UkpJS5nyOKSkpCgwMtO3B5qqYG5wJ2+zWxcTEKCYm5pr3derUqczetAMHDtTAgQOvu6yuXbvaroR3I9HR0YqOjr79sAAchnM8OcDChQvVqlWrMlcUulqnTp3UvHlzzZ8/X0VFRXf1WP369ePSrgBQSVSvXl3vv/++srOzNXnyZDVv3lytW7dWbGyskpOTdfDgQX3yySdKT0+3fUO8aNEizZgxQykpKcrKytLmzZt16tQpNW/eXFLJB4GdO3cqLi5OqampyszM1ObNmzVx4kRduHDByOnelfOFJp0vNMlslYotJbcvXnLtQ2T69u2rbdu2aeXKlTpy5Ig2btyoZcuWqU+fPrd8sk9nxdxcF681uLvgYD/5+NzZdvfx8VRwsF8FJ4Kz4TlSnsl6s+tFwqWU/gFctWqV0VEAAHcoPz9fQUFBysvLK3PBiQ8//FDZ2dnlrjCXkZGhcePGqWXLlho9erTmzJmjpKQkFRYWqnHjxhoyZIjtZK0pKSlavny5Dh48qHPnziksLEz9+/dX//79bcvbtWuXli1bpgMHDshisahWrVrq2LGjhg4dWuZDVmZmpiIiIrQ/vpWqVXXuD19D/xZerq1ZnUKNf/x0ufZjp4p038v7yq1/Z5SQkKDly5fr+PHjCgoK0qOPPqpBgwZd98Nw6TZjbsa607nxWjPO7W6z672Pwz1kH89Xbm75L2MsZrPS09PVqFGja17ZLDjYT2G1HfN8MJvNSk1NVYsWLQwtkFbWHM7+HHH0+qDw5CamTJmi/fv3Kz4+XomJierWrZvRkQAAd8hVPrC40ofh2+FKH4ZvlysVZ25XZZgbrzXX4Srv46hYzlJkcaYs5CCHxDme3MZ3332ntLQ0xcbGUnQCAAAAAABOgcKTm/jpp5+MjgAAAAAAAFAGJxcHAAAAAACAXVB4AgAAAAAAgF1QeAIAAAAAAIBdUHgCAAAAAACAXVB4AgAAAAAAgF1QeAIAAAAA4C7l5eVp165dysvLMzqK02QhBzkkycshjwIAAG5bfn6+0RFuqKCgoOTf82aDk1Ssggsl83H29X8nSrcZc3MtvNZcjzv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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Original network adding the children as a color/size\n", "plot_network_adj(G_undir, values = df[\"children\"])" ] }, { "cell_type": "code", "execution_count": 14, "id": "a510bc2a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[7 4 3 2 7 3]\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# adjacency array\n", "A = nx.to_scipy_sparse_array(G_undir)\n", "\n", "# Calculate sum of neighbors children\n", "sum_children = A @ df[\"children\"]\n", "\n", "# Divide by number of neighbors to get an average\n", "avg_children = sum_children / A.sum(axis=1)\n", "\n", "print(sum_children)\n", "plot_network_adj(G_undir, values=avg_children)" ] }, { "cell_type": "markdown", "id": "7782ec56", "metadata": {}, "source": [ "# Exercise 3: Matrix multiplication\n", "3a. Interpretation as number of routes\n", "- Number of nodes 2 steps away\n", "- Number of nodes 3 steps away\n", "- Number of triangles directed\n", "- Number of triangles undirected\n", "\n", "3b. Number of triangles and clustering" ] }, { "cell_type": "markdown", "id": "ed2b490d", "metadata": {}, "source": [ "## Exercise 3a: Matrix multiplication and paths" ] }, { "cell_type": "code", "execution_count": 15, "id": "ae712801", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "One step away\n", "Two steps away\n", "Three steps away. Triangles!\n" ] }, { "data": { "image/png": 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\n", 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of paths to go from node i to node j in x steps\n", "\n", "#x = 1\n", "print(\"One step away\")\n", "plot_network_adj(G_dir)\n", "A = nx.to_scipy_sparse_array(G_dir)\n", "\n", "#x = 2\n", "print(\"Two steps away\")\n", "G2 = adj_to_net(A @ A) #A**2\n", "plot_network_adj(G2)\n", "\n", "#x = 3\n", "print(\"Three steps away. Triangles!\")\n", "G3 = adj_to_net(A @ A @ A) #A**3\n", "plot_network_adj(G3)\n", "\n" ] }, { "cell_type": "code", "execution_count": 16, "id": "2058e0be", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/garci061/miniforge3/envs/networks/lib/python3.10/site-packages/scipy/sparse/_index.py:146: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil_matrix is more efficient.\n", " self._set_arrayXarray(i, j, x)\n" ] }, { "data": { "text/plain": [ "array([2, 2, 2, 3, 4, 3])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of nodes reached in 3 steps\n", "M = (A + A**2 + A**3) > 0 # all nodes should be counted only once (e.g. doesn't matter that you can reach Rose in two different ways)\n", "M.setdiag(0) # do not count yourself\n", "M.todense().sum(1)" ] }, { "cell_type": "code", "execution_count": 17, "id": "d845823b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 0, 1, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [2, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0]])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([[0, 1, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 1],\n", " [1, 0, 0, 0, 0, 0]])" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display((A @ A).todense())\n", "display(A.todense())" ] }, { "cell_type": "markdown", "id": "6bd6646e", "metadata": {}, "source": [ "## Exercise 3b: Number of triangles and clustering" ] }, { "cell_type": "code", "execution_count": 18, "id": "a426cf21", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Alice', 1), ('Bob', 1), ('John', 1), ('Amy', 0), ('Mike', 0), ('Rose', 0)]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] }, { "data": { "image/png": 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1vDn/Bo5l/8z8v58qOgF8vuRlVv3rKe677z4WLVrE3r17eeaZZygoKGDx4sVd+hkJIYQQQtiizMxMNmzYwM0330z//v3x9vYGoK6ujsWLFzNlyhTi4+MtFk9+fj7PPPMMpaWlaDQaXFxcqKmpYdWqVYwdO5ZHH30UBwcHs8Zgie5sXfH444/j5eXFrFmzzjiVzs3Njeuuu86ssfS2kXG+vr5ceumlFr2mFJ6E6KXq6+tJT0+nrq6OpKQkQkND2+23t1MxLExFTKDC8VKFoiqobfq1AOVgB16uENJfxUAvmSplLvb29tjb23e5PWtnharfj67qaqGqqqoKtVqNr68vzs7OvPvuu9xzzz2UNnnyU9q/cdf2J2boRWeNSTEaeeeF2ziwO42n3vqO8JgRADTW1/Dl0he5+Jo/8uabb6JSqbj44ovx9vbmzjvvZO7cuQwePLh7PzAhhBBCCBvx5Zdf0tLSQv/+7dexcHNzo6mpic8//9yihad//OMfALzxxhumEU5Go5Hvv/+ev//97yxdupS77rrLYvFY0xNPPMHYsWMtugTGmfSGkXE7duzg+++/595778XFxYUTJ07wyiuvUFJSwvjx4/nzn/9sthkNUngSohcqKipi586daDQaUlNTz9hhzkmjYnCQisFBp6blGYynRkBJoal36slClb29PUajkZaWFkaOHMkXX3zB8OHDwTuJ7Rs+JXnK9V0a6rzy3cc5lv0zM257ikFxo0zbD2f+SEtzI8MvuoKmFr1pQforrrgCgA0bNkjhSQghhBAXrMOHD3PHHXd0um/s2LG89957Fo/n/vvvbzetTq1WM3HiREpLS/nqq68sUnjKzs5m165dVFZWYjQa2+1TqVQ8+OCDZo/hoovO/uGrpezfv99UgNRoNKaRcW2WLVvGLbfcYvY4/vvf/9KvXz/T+5C3336b6upqLr74YjZt2oSPj4/Zpv1J4UmIXsRoNJKVlUVWVhb+/v6MHj0ajUbT5cerVCrse0dRX/SQMxWq3NzcAJgyZQoNDQ1cffXVDB8+nOwyRzJ3bWLW3c936RqFeQcZPHwi33z2d6ZcfZep611d7anWri/NvZyX5nZ8XFFR0TlmJYQQQgjR9zU0NJx2AW17e3saGxstGo+7u/tpR9GEhYWh0+nMHsPatWt59913sbOzw93dvcPUPkut/2Q0Gtm8eTO7d++mqqoKRem4LsnLL79skViefvpp/va3vzFkyJB22w0GA2+99RabNm2ySOEpPz+f2267DYDm5mYyMzN54IEHmDp1Kn5+fvz3v/+VwpMQtq6lpYUdO3ZQWlpKfHw8sbGxvWJhPtE3XHrppXh4ePDVV19RrXNjQECYacrc2dz92L+IHzGZB2bF8cFr9/Loa/8BMHXDu/9vy7nxsugOo+h8fX17NAchhBBCiL4kJCSEHTt2MG7cuA77duzYQWBgoEXjSU1NJS0trdN4ysrKLLKW0BdffMH48eN58MEHrbrI+uLFi/n3v/+Nj48P/fv3t2pTnIsuuoinn36a+fPnM2LEqb/Pm5ubefHFF9mzZw/33XefReJobGzE3d0dgKNHjwIQFxcHgL+/PydPnjTbtaXwJEQvUFlZSXp6Onq9npSUFPz8/KwdkuhjHB0dueqqq/jiiy+w07hw0cXXd/mxWm8/PLwGcOM9L/L+q38mfeOpaXqR8WOwd9BQX1XE6KTZpuMzMjKYO3cuTz/9NEFBQeZIRwghhBCi17v22mt55ZVXUKlUTJkyBS8vLyorK9m0aRNbtmzh/vvvN3sMK1euNH2t1+tJT09n8eLFHYo+27Zts8iHhlVVVUyaNMmqRSeALVu2MHPmTNMIH2uaO3cuzs7OPPfcczz++OPExMTw9NNPc+LECZ555hlGjRp19pP0gMDAQA4dOsSoUaPYuXMnbm5upuJoRUWFaTaFOUjhSQgrUhSF48ePs2fPHrRaLWPHju3y2j9C/N6VV17JzJkzUalUvP6nRd1+/JSr/0jaNx+xZOEDDBk1FTcPb66a/TAr/vk0AW51TJw4kcLCQubPn49KpWrXjlYIIYQQ4kIzYcIEqqqq+Oijj9i0aRNw6u97jUbD7NmzueSSS8wew28LT22++OKLTo8tKCgwdzhERkZSUlJi9uucjU6ns+jC7mfzpz/9CRcXF1588UU8PT3R6/W8+uqrDBo0yGIxTJ8+nbfffpuffvqJ48ePc/XVV5v2bdu2rUMzq54khSchrESv17N7925yc3OJiIggMTGx13RdEH2H0WjkyJEj5OXl0dLSgouLC/7+/sTFRFHb0r1zqVQq7nrkXR6/LYmlb83lL08vZdYfn2PsEH8+fP9dXn31VTw9PZkyZQoLFizAw8PDPEkJIYQQQvQRV199NRdffDHZ2dnU1tbi5uZGTEwMrq6uFrn+N998Y5HrdNXs2bN57bXXuPTSS6066mnYsGHs3bvXYqOJuuLmm2/G1dWVDz74gCeeeMKiRSc4tTSHoij89NNPJCYmMnv2qRkNBQUFVFdXc8MNN5jt2iqls1W2hBBmVV9fT3p6OnV1dYwYMcKs1WVhe1pbWyksLCQ/P5/S0lLg1Lzs4OBgAgICsLe352StwtZshfN5hVepwM8DLopR91DkQgghhBDC1tx6663t1qYtKyvDw8PjtAuvL1myxOwx5eXlMXfuXObOnWta1+j3EhISzHb9hQsXnnbf3r17aWlpYfTo0YDlOv1Zk4x4EsLCioqK2LlzJxqNhtTUVLRarbVDEn2AwWCgpKSE/Px8ioqKMBgM+Pj4MGzYMIKCgjr8w97fXUVYf4Xck2A8x+KTnRpGhssC90IIIYQQbTZu3MiIESPw9PRk48aNZz1+ypQpFojqV62trWzatIl9+/ZRW1uLu7s7iYmJTJ48uUOHuZ6SkJDQ65oi1dTUoFKpWLBgQYd9iqKgUqn4+uuvzXb9ffv2nfZnolarcXJyIiMjA7Bcp782hYWFZGRkmEboDR061OwL4cuIJyEsxGg0kpWVRVZWFv7+/owePRqNRmPtsEQvpigK5eXl5OXlceLECXQ6HR4eHgQHBxMcHHzW9cCMRoVtBxXK67pffLJTw4RYFd5uveuPCCGEEEIIa5o2bRoLFiwgMTGRadOmnfFYcxc3fq+uro7HHnuMnJwcfH190Wq1VFdXU1paSlhYGC+99NJpR//YmnvuuQeDwcB1112Ht7d3p0uaDBkyxAqRWY/RaOSdd95h3bp1/LYMpFKpuOSSS7jvvvvMVgSTEU9CWEBLSws7duygtLSU+Ph4YmNje92nAqL3qK6uJj8/n/z8fBobG3F2diY8PJzg4OBujZBTq1WMj4G9uQrHT9KlaXdqFThpIDlKhdZFnqNCCCGEEL/18ssvExERAVhmylh3fPjhh1RVVfHmm28SFRVl2n7w4EGee+45lixZwl//+leLxaPT6aivr8fV1dXiH7gXFhby2GOPkZycbNHr9maffvop69ev5/bbbyclJQUPDw+qq6tJS0tj+fLl9O/f32zrPEnhSQgzq6ysJD09Hb1eT0pKCn5+ftYOSfRCDQ0NpmJTTU0NGo2GoKAggoOD8fHxOedCpVqtYni4iiAfhcx8hcp6UKvBYPzNMf87tb0aIv0hOkCFnVqKTkIIIYQQv/fbUTK+vr5WjKSjHTt2cNNNN7UrOgHExMQwa9YsPvnkE4sUnvbv38+SJUs4dOiQaVpbTEwMt956q8U6zfn7+9PY2GiRa3UmMzOT8PBwXFxcyMzMPOvx5lxvqs369euZOXMmM2bMMG0bMGAA1113HU1NTaxfv14KT0L0NYqicPz4cfbs2YNWq2Xs2LFnnRolLiwtLS0UFBSQn59PeXk5dnZ2BAQEkJCQgK+vb492OezvrmJyvIq6plNT7yrrFVpaTxWhPJxVeLlAf/dThSohhBBCCNH3NDY24unp2ek+b29vixRiMjMzeeKJJxg4cCA33ngjWq2Wqqoqtm3bxuOPP86CBQssUmSZOXMm//73v5k0aZJVOoc/+uijpimZjz766Gk/RLbEelNtysvLOxQl20RFRfH555+b7dpSeBLCDPR6Pbt37yY3N5eIiAgSExOt8oIneh+9Xk9RURF5eXmUlJQApz4tGz16NAEBAWZb9LGNm5MKNycIGyAFJiGEEEKI7vp9B7ezseR0vODgYHbs2MG4ceM67Nu+fTvBwcFmj+Gjjz4iMTGR5557rt3P6cYbb+Spp55i2bJlvP7662aPY/369eTm5vLXv/4VV1fXTo95+eWXzXb9Bx98kJCQELNfpzt8fHw4evQoY8aM6bDvyJEj+Pj4mO3aUngSoofV19eTnp5OXV0dSUlJhIaGWjskYWVGo5HS0lLy8/MpLCxEr9fj7e1NYmIiQUFB9OvXz9ohCiGEEEKILuiNHdzaXHfddbz00ks0NjYybtw40+Li33//Pbt27eKxxx4zewxHjhxh3rx5HX5GbQtYL1y40OwxtF2vbVpfZ/3UzH0Pp06davq6tyxiPnXqVD799FPc3Nw6PD8+//xzZs2aZbZrS+FJiB5UVFTEzp070Wg0pKamdmshaGFbFEWhoqKC/Px8CgoKaGlpwc3NjZiYGIKDg0/7yYsQQgghhOi95s2b16XjSktLSUtLM28wvzN+/Hh0Oh1Llizhxx9/NG338vLigQceYPz48WaPwcHBgebm5k73NTU1mX10f5tXXnnltPsscW+6W+SzxKioWbNmUVZWxr/+9S/ee+8903ZFUZgyZQrXX3+92a4thScheoDRaCQrK4usrCwCAgJISkqyeOcG0TvU1taSl5dHfn4+DQ0NODk5ERISQkhICFqtttd+QiaEEEIIIc5PdXU127ZtIy0tjYMHDwKY9c18Z1JTU5k8eTInTpyguroaBwcHAgMDcXNzs8j1ExMTWb16NaNGjWr3IXxlZSWrV68mMTHRInH8nqXvTUZGBg4ODkRHR/eav//VajUPPPAAM2bMICMjg9raWtzd3RkyZAj9+/fnpZde4qmnnjLLtVVKZ+POhBBd1tLSwo4dOygrK2Pw4MHExsb2mhcXYRmNjY2mjnRt/8APHDiQkJAQfHx8UKvV1g5RCCGEEEKYQWNjI+np6aSlpbFv3z4A4uPjGT16NKNHj8bf39/sMeh0OnJycvD09GTAgAEAvPXWW6xfvx44VXC45ZZb+MMf/mD2WEpLS5k7dy4NDQ3ExcXh4eFBTU0NWVlZuLi48MYbb1isy7c1783//d//sWHDBjw9Pbn22muZMmWKVQcm6HQ6mpubcXd377CvvLycZ599lpycHNauXWuW60vhSYjzUFlZSXp6OgaDgTFjxvS6lqrCfHQ6HSdOnCAvL4+TJ0+iVqsJCAggODgYf39/WUxeCCGEEMJGtba28tNPP5GWlsauXbvQ6/XExMSQnZ3Nc889x4gRIywWS15eHo8//jg1NTUAXHHFFYSFhfH2229z1VVX4efnR2ZmJtu3b2fu3LmkpqaaPabq6mq+/PJLMjIyqKurw83NjaFDh3LNNdeYfSmS3nRvGhoaWLduHWvWrKGlpYXLL7+cyy+/HA8PD4vFYDAYeOedd9iwYQNGoxGtVsutt95qWoPq0KFDPP/88zQ3N/PII4+QlJRkljik8CTEOVAUhePHj7Nnzx60Wi1jx47FxcXF2mEJMzMYDBQVFZGfn09xcTGKojBgwACCg4MJDAyU6ZVCCCGEEDZu4cKF/PjjjzQ0NBAaGsrkyZOZNGkS9vb23HDDDSxYsMCi08leeukl9u3bx8yZM9Hr9fz3v/9Fr9dz2WWXceutt5qOe/7556msrGTRokUWi83Setu9aWM0Gtm+fTtfffUVx48fZ8qUKVx77bUEBASY/dqff/45H374ISNGjCA0NJRjx46xb98+nnjiCfR6PYsWLcLHx4dnnnmGoKAgs8UhazwJ0U16vZ7du3eTm5tLREQEiYmJMrrFhhmNRk6ePEleXh6FhYW0trbi6elJQkICwcHBODk5WTtEIYQQQghhIRs3biQ4OJgXXniB6Oho0/ba2lqrxLNv3z5mzZrF1VdfDUBMTAyPP/54h05q48aN45133jFLDGdbSFulUjFgwAAmTZpk1sJPb7s3bdRqNSkpKYSEhLBw4UK++eYb6uvrLdJlcNOmTUyePJmHHnrItG3JkiW8+eabNDY2MnToUJ544gmzNz6SwpMQ3VBfX096ejp1dXUkJSURGhpq7ZCEGSiKQlVVFXl5eRQUFNDc3IyrqyuRkZEEBwd3OjdaCCGEEELYvtjYWA4ePMj8+fNJSUkhNTWV2NhYq8VTX1/fbqRKVFQUAM7Ozu2O8/DwOG23ufOVkZFBWFjYaYsXer2ePXv2sHHjRh5//HEuuugis8TR2+5Nm8zMTD7//HN+/vlnQkJCePDBB5k0aZJFrl1cXMxNN93Ubtv06dNZvXo106dP55577rHIerRSeBKii4qKiti5cyeOjo6kpqaafX6ysLy6ujrTIuF1dXX069ePoKAggoOD8fLykkXjhRBCCCEucG+88QZlZWVs2bKFrVu38s033+Dn58fYsWNRqVQW/3vRaDS2m33R9vXv4zB3ceGuu+4662imt956i08//dRshafedG8URWH79u18/vnnHDlyhOHDh/P8888zfPhwi8UAp9al/X1BsG2NqSlTplisCZIUnoQ4C6PRSFZWFllZWQQEBJCUlCRr+diQpqYmCgoKyM/Pp7KyEnt7ewYOHMiwYcMYMGCAdKQTQgghhBDtDBgwgOuvv57rr7+evLw8U6FDURT++c9/Mm7cOJKSktpN9zKnvvLhaHJyMmlpaWa9Rm+5N3fccQcVFRVMnDiRuXPnEhISYtbrncnvnx/WeL7I4uJCnEFLSws7duygrKyMwYMHExsb22de2MXptba2UlhYSF5eHmVlZahUKvz8/AgJCcHf3x97e6nJCyGEEEKI7snOziYtLY1t27ZRXV2Nl5cXK1asMOs1p02b1uH9iaIop33P8vXXX/d4DEeOHGHgwIFnXfs0LS2Nd955h9WrV/d4DGdj6Xszbdo0oOtFHnPcl7Y4OovhdM8Rc8Uh766EOI3KykrS09MxGAykpKTg6+tr7ZDEeTAYDJSUlJCXl0dxcTEGg4H+/fszfPhwBg4ciKOjo7VDFEIIIYQQfVhsbCyxsbHcfffd7Nmzh61bt5r9mr9fv8caIiMju3ScXq8nNTXVzNF0ztL3pjfcF+g9cciIJyF+R1EUjh8/zp49e9BqtYwdOxYXFxdrhyXOgaIonDx5kvz8fE6cOIFOp0Or1RIcHExwcHCHRReFEEIIIYQQQvQsKTwJ8Rt6vZ7du3eTm5tLREQEiYmJ7RbrE72foihUV1ebFglvamrCxcXFVGxqW0xPCCGEEEIIIYT5SeFJiP+pr68nPT2duro6RowYQWhoqLVDEt1QX19vKjbV1tbi6OjIwIEDCQkJwdvbW9bmEkIIIYQQQggrkHZNQgBFRUVs2LDBNO9Yik59Q3NzM0eOHGHTpk188803ZGdno9VqGT9+PFdccQUjRozAx8dHik5CCCGEEMLsKisrWbFiBZWVldYOpdfEInFIHCCFJ3GBMxqN7N+/n+3bt9O/f3+mTJmCVqu1dljiDFpbW8nLy2Pbtm2sWbOGvXv3otFoGD16NFdddRVjxozB398ftVpe3oQQQgghhOVUVlaycuVKqxcVelMsEofEAdLVTlzAWlpa2LFjB2VlZcTHxxMbGysjY3opo9FISUkJ+fn5FBYWYjAY8Pb2ZtiwYQwcOJB+/fpZO0QhhBBCCCGEEJ2QwpO4IFVWVpKeno7BYCAlJQVfX19rhyR+R1EUKioqyMvLo6CgAJ1Oh7u7O7GxsQQHB+Pq6mrtEIUQQgghhBBCnIUUnsQFRVEUjh8/zp49e9BqtYwdOxYXFxdrhyV+o6amxlRsamhowMnJibCwMEJCQvDw8JBRaUL0Ms3Nzeh0OmuH0eOMRqPNTtmV3PomW83NVvMC0Gg0MipbCCGQwpO4gOj1enbv3k1ubi4REREkJiZiZ2dn7bAE0NjYaOpIV11djUajYeDAgQQHB9O/f38pNgnRSzU3NxMWFkZJSYm1Q+lxjo6OtLS0WDsMs5Dc+iZbzc1W8wLw8/MjJydHik9CiAueFJ7EBaG+vp709HTq6upISkqSrnW9QEtLCydOnCA/P5+TJ09iZ2dHQEAAgwcPxs/PT4qCQvQBOp2OkpISCgoKcHd3t3Y4PaawsJC4uDibywskt77KVnOz1bwAamtrCQoKQqfTSeFJCHHBk8KTsHlFRUXs3LkTR0dHUlNTpWudFen1eoqLi8nLy6OkpARFURgwYABJSUkEBgbi4OBg7RCFEOfA3d3dpt401tbWAraXF0hufZWt5mareYkLl1ar5ZJLLukV7zd6SywSh8QBUngSNsxoNJKVlUVWVhYBAQEkJSWh0WisHdYFx2g0UlZWRl5eHoWFhej1ery8vBgyZAhBQUE4OTlZO0QhhBBCCCHOm6enJ1OmTMHT09PaofSaWCQOiQOk8CRsVEtLCzt27KCsrIz4+HhiY2NlnSALUhSFyspK8vPzKSgooLm5GTc3N6KjowkODsbNzc3aIQohhBBCCCGEsAApPAmbU1lZSXp6OgaDgZSUFHx9fa0d0gWjrq6OvLw88vPzqa+vp1+/fgQHBxMcHIynp6cU/4QQQgghhBDiAiOFJ2EzFEXh+PHj7NmzB61WS3JyMs7OztYOy+Y1NTWZOtJVVVXh4OBAYGAgI0aMoH///jbbIlkIIYQQQgghxNlJ4UnYBL1ez+7du8nNzSUiIoLExETpimZGOp2OwsJC8vLyKCsrQ61W4+/vT2xsLH5+ftjby0uLEEIIIYQQQgiQoQiiz6uvr2fz5s0UFBSQlJTEiBEjpOhkBgaDgRMnTpCens5///tfdu3aBcDIkSO58sorGTduHAMHDpSikxCiy9544w0eeeQRa4dhNbfccgsrVqywdhg9IiMjg8suu4zS0lJrhyK6YcWKFdxyyy3WDkMIIYSNk3eIok8rKipi586dODo6kpqaavW2lLbGaDRy8uRJ8vPzOXHiBK2trWi1WhISEggKCpKpjEKIs8rPz+fuu+9GrVazbNkyfHx8TnvsG2+8QUZGBsuWLbNghN33xhtvsHHjRtP3Dg4O+Pv7M3nyZK677ro+vZ5dWloar7zyiun7V155hSFDhlgxop7XnedkX9D2fJw2bRr33Xdfu31r167lnXfeISEhgVdffbXP/I61+e3vmkqlwsXFhSFDhjBnzhxCQkKsHJ0QQoiuksKT6JOMRiNZWVlkZWUREBBAUlISGo3G2mHZBEVRqK6uJi8vj4KCApqamnBxcWHQoEGEhITg7u5u7RCFEH3Id999R3h4OFVVVWzYsIEbbrjhtMfeeeed6HQ6C0Z37qKjo3n88cdRFIWmpia2bt3K0qVL8fX1ZeLEidYO75yNGTOGpUuXcvLkSR5++GFrh2MW3XlO9hVarZb169dz/fXXM2DAAODUMgSrV69u1yq7L/2OtWn7XTMYDJSVlbF06VIeeeQR/u///s/q7ciFEEJ0jRSeRJ/T0tLCjh07KCsrIyEhgZiYmD796XJvUV9fT35+Pnl5edTV1eHo6EhQUBAhISF4eXnJz1gI0W16vZ7Nmzdz0003UVxczIYNG5g1a9ZpX0/WrFnDhg0b2o3G2Lp1K5999hkFBQW4u7szePBgbrvtNvz8/Ghubmb58uVs3bqV+vp6AgMDmTVrFuPHjzd7bhqNpl3XVD8/Pz799FMqKiqAUx+QfPrpp6xbt47Kykp8fX259tprmTZtWrvzVFRUsGjRIlM31nHjxnHvvffSr18/s+fQmX79+nV67dLSUt5//3327NmDwWAgLi6Ou+66i7CwsHbHHThwgEWLFpGdnY2Xlxdz5sxh0qRJpnPceuut3HXXXWRmZnLgwAE0Gg3XXHMNM2bMsEh+Z3tOPvLII7i6uhIYGMj27dupqqpi+PDh3HPPPaxZs4bNmzfT0NBAfHw88+bNQ6vVsnnzZhYtWsSyZcvw8vIyXes///kPK1euZMWKFWb/cCwoKAgnJydWrVrF/fffD8CmTZtwcXEhPDycsrIyoPPfsd/S6XQ899xznDx5kldeeQWtVkttbS2LFy9m586dtLS0EBoaym233WaxkXC//V0LCAjgnnvu4YEHHiAzM5OUlBTq6up4//332blzJ01NTQwaNIhbb721XXwbNmzg3//+N0VFRbi6uhITE8Ptt99OQEAAcGqq6EcffcSRI0dwdXVl2LBh3HnnnTKSXvQJpSW1VFc3ddhuNBjIz63BTlWKupNlSLRaJ3z95ANlYRlSeBJ9SmVlpemP85SUlHZ/9Ivua25upqCggPz8fCoqKrC3tycwMJDExER8fX2lI50Q4rzs3LmTxsZGJk6cSEVFBV9++SWZmZldfsO6fv16/vGPf3DzzTczatQoKioqWLduHTk5Ofj5+fH888/T0NDAvHnz8PLyYvfu3bz88st4enoSHx9v5ux+1dLSwldffYWnpycpKSkAfPzxx/z3v//lT3/6E+Hh4WRmZvLee+/h4ODA1KlTTY/dvn071113HS+99BLl5eW8+eabrFy5kjvuuMNi8Z9Na2srTz75JD4+Pjz33HPY29vz5Zdf8thjj/H++++3Gwn76aefMmfOHO655x6+/vprFi5cSHx8PP379zcd89VXX3HzzTdz22238cMPP/DBBx8QHx9PdHS02XPpynPyp59+4qqrruLpp5+msrKSBQsWcPvttzN58mT+9re/0drayosvvsjy5cu57777uOiii3jvvff47rvv2o2e+vrrr7nkkkssNiL7xhtv5KGHHuL666+nf//+rF69mltvvZWdO3d26fF6vZ6XXnqJsrIyU9FJp9Px6KOP4uPjw/z583F2dmbr1q3Mnz+ff/7zn6bCjSW1trYCmJ53L7zwAvX19Tz22GO4u7uzYcMGnnzySf75z38ycOBA9u7dy5tvvsn9999PXFwcJSUl/PDDD5w4cYKAgAAyMzOZP38+s2fP5i9/+Qv19fV88MEHvPrqqyxYsMDi+QnRHaUltdw0YzE6neEMR/3Y6VaNxo6VX9whxSdhEVJ4En2CoigcP36cPXv2oNVqSU5OlvWFzlFrayuFhYXk5+ebFoH18/NjzJgxBAQEyOLgQoges379epKTk3F1dcXV1ZWoqCjWr1/f5cLTihUrmD59Otdddx0AYWFhjBw5EoPBQGZmJhkZGSxfvtw0KiEkJISff/6ZTZs2mb3wtH//fq688krg1Bt2RVGYOnUq9vb26HQ6Vq9ezV133cXkyZMBCA0NpaysjJUrV7YrPF111VXMnDkTgEGDBnHttdeyevXqXlV4SktLo7y8nIULF5re7D/00EPcfvvtrFmzhptuusl07LPPPoufnx9wqhCyZs0ajhw50q7wNG/ePIYOHQrAwIEDWb16NVlZWRYpPHXlOTlx4kTuuusu4NRzLiEhgcbGRh588EHTMePGjSMzMxM4NSLn4osv5ttvv+W6667Dzs6OvXv3UlhYyPTp082eU5vo6GiGDh3KqlWrGDp0KA4ODowbN65LhSeDwcCrr75KYWEhr7zyimkK2/fff09NTQ1vvfWWqYAWFhbG9u3b2bp1q0WnKRqNRgoKCli8eDGRkZEkJCSQkZFBRkYG//rXvwgODgYgIiKCgwcP8tlnnzF37lyOHj1Kv379SElJwcnJiaCgIEaNGmU678qVK5k2bZrp9xDg7rvvZu7cuZSXl/f5NcCsbd68eWRlZTFlyhTmzZvXbt/v1xzLyMjg0UcfZe7cue1eJ8XpVVc3naXodHo6nYHq6iYpPAmLkHeYotfT6/Xs3r2b3NxcIiIiSExMlK513WQwGCgtLSUvL4+ioiIMBgM+Pj4MGzaMoKAgHB0drR2iEMLGVFZW8vPPP/PCCy+Ytk2dOpUPPviAe+65BxcXlzM+vrq6mpMnT5KQkNBhn52dHYcOHUKv1zNnzpx2+wwGg6moYU6RkZE89NBDwKl/p06ePMnHH3/M3LlzmT9/Pjqdjri4uHaPiYuL4/PPP6exsfG0H56EhoZSX19PXV0dbm5uZs+jK3JzcwkMDGw3ssnBwYHIyEhycnLaHfvbaZQeHh4ANDQ0nPYYtVqNm5tbh2PMoavPyd9PBXV1daWxsbHDtt/GPH36dL744gt27drFmDFjWLt2LSNHjjQV4Szlpptu4pFHHmHv3r3cfvvtXZomrygKixYtYu/evR3WTTp8+DDV1dX84Q9/aPcYvV5vmr5nbm1FXoPBgNFoZNKkSfz5z3/Gzs6OnJwcXF1dTUWnNrGxsRw4cACA5ORkPv/8c+644w6GDx/OoEGDGDt2rGnU/KFDh9i/fz9ff/216fGKogCnpodK4enclZaWkp2dTVBQEOnp6dx3331nHAEYFhbGggULZOF4IWyQFJ5Er1ZfX096ejp1dXUkJSURGhpq7ZD6DEVRKC8vJy8vjxMnTqDT6fDw8CAuLo7g4OCzvukTQojzsXHjRoxGI0888USHfVu3bu2w1tHpnG7Kr9FopF+/fvz973/vsM8SxfS2dfDahIWF4eXlxX333WcaCfN7bW9mz1QMaJtG1HZsX9bb1gY81+dkZ3n8fpuvry8jR47k66+/JjIykh07dvDss8/2TODdEBsbS0JCApWVlVx00UVdeszJkycpKiqiqamJjRs3mkYYwqlCbkBAAM8880yHx1nq74i2Im9rayuvvPIKeXl5Z33Mb39/AgICWLx4Menp6WRnZ7N27VqWLFnC888/z5AhQzAajVxzzTVcfPHFHc7z25F6ovvS0tJwcXFh7ty5PPjgg/z0009nfF66ubkxbNgwC0YohLAUKTyJXquoqIidO3fi6OhIamqqLPDYRdXV1eTn55Ofn2/6VD08PJzg4GD5GQohLGb9+vVMmzatw5v5jz76yLTvTDw8PPD09CQzM5OxY8e226coChERETQ3N9PQ0EBMTEyPx38umppOLe7q7++PRqMhKyuL8PBw0/4DBw7g6+uLk5PTac+RnZ2Nn5+f1TuI1tfXA6cWGw8NDeXrr7+mtrbWFJdOp+Pw4cNcdtll1gyzW873OXk206dP529/+xtLlizBz8+P4cOHn9f5ztXcuXPR6/VdLvx5enry6quvsm3bNl5//XU8PDy45JJLgFPT1tavX4+jo6OpW56l/bbIu2DBAh566CGefvppFixYQFhYGPX19eTl5bUbJZOVlWX6sFKv1+Pi4sLUqVOZOnUqiqJw9913s337doYMGUJERAS5ubntCsmiZ6SlpTF+/HhiYmIIDQ0lLS3tjIWntgYEv59qt3XrVr744gvy8vJwcXEhKiqKa6+91jRF9tixY3z00Ufs378flUpFSEgIs2fPliKWEL2IFJ5Er2M0GsnKyiIrK4uAgACSkpIstjBnX9XQ0GAqNtXU1KDRaAgKCiI4OBgfH59e96mzEMK27d+/n8LCQubPn99hysRll13Gs88+S25u7hnPoVKpmDlzJh9++CFeXl6MHDmS+vp6Nm7cSGpqKsOHDyc+Pp4FCxZwyy23EBkZSVNTE7/88gv29vbtRm2Yg06nM62Tp9PpOH78OMuXLyc8PJzExERmzJjB8uXLcXZ2JiIign379rF27Vruvffeduc5cOAAmZmZuLu7s2/fPtasWcPcuXPNGvvpHDhwAGdnZ1QqFZ988glarZaQkBBCQ0NZtWoVCxYsYM6cOdjb27N69Wp0Oh1XXHGFVWLtrp54Tp7NyJEj8fX1ZdOmTfzxj3+02r+93Z0a5uDggL29PZMmTaK6upq///3vuLq6Mm7cOCZPnsyXX37J/PnzmTNnDsHBwdTU1LBz506CgoI6HSVkTt7e3qbi07PPPsuzzz5LfHw8r776KnfeeSfu7u5899135OTk8MgjjwCwbNkyGhoamDRpEl5eXuTk5FBeXm4qWN900008/fTTLFy4kMsuuww3Nzfy8vJYt24dTzzxxBkLxeL08vLyyM3NNb3mpaam8tFHH9HQ0NCt0XJfffUV//rXv5g8eTIzZ85Ep9OxceNGNmzYwJAhQzh69CgPP/wwEydONK3Dtm3bNubPn8+bb77JoEGDzJKfEKJ7pPAkepWWlhZ27NhBWVkZCQkJxMTESNHkNFpaWkwd6crLy7GzsyMgIICEhAR8fX1lHSwhhNWsX7+eyMjITtfpGDVqFB4eHqxfv/6s57nmmmvw8PDgiy++YOXKlTg7OzNs2DACAwNRqVQ8//zzrFy5kuXLl1NRUYGbmxsRERHtFgk2l0OHDnHrrbcCp9ac8vT0ZPz48Vx//fVoNBpuuukm7OzsWLp0KVVVVfj6+nLXXXd1eKNeW1vLwoULKS8vx9vbmz/+8Y9MmDDB7PF3ZvPmzWzatAm1Wk1ERATPPvusadriiy++yHvvvcdTTz2F0WgkNjaWl156yeojs7qqp56TZ6JWq5kwYQL/+c9/LF6Q6SnXXHMNVVVVvPLKKzz//PMMHTqU119/nY8++oh//vOf1NTU4OHhQUxMjGnhfEvz9/dnwYIFPPLII7z00ks89dRTvP/++yxYsICWlhYiIiJ44YUXGDhwIABJSUl89tlnvPTSSzQ0NODr68ttt91min/EiBG8+OKLrFq1iieffBKj0ciAAQMYNWqUfPB5HrZs2YKfnx+DBw8GTi3av2TJEtLT07u8cHhDQwPLli0jNTXVtKYenCpita0x9sEHHzB58mTuvvtu0/5Ro0Zx+PBh1q1bx1/+8pduxW00Gs9rqrPBYGj3/+ZmPM/rGA0Gs8dq6Z+JxGH5OLryvlOl2MIiAsImVFZWkp6ejsFgYMyYMaZFH8Wv9Ho9RUVF5OXlUVJSApxaVyI4OJjAwEAcHBysHKEQ4kJSW1uLh4cHNTU1faYA0RUnTpwgKCjI5vICyc3cHnjgASIiIrjvvvt69Ly9ITdzsNW8wHZfH7vqtttuY8yYMcyaNcu07bnnnsPR0ZEFCxYAHbva/X6q3c8//8z8+fN5+eWXO20a0dLSwrXXXovRaOw0hmHDhpmu1VUHDx5Er9d36zHWlJ9bw8vP/njOj3/smbEEh3r0YETiQtSVTsIy4klYnaIoHD9+nD179qDVaklOTj5tt58LkdFopLS0lPz8fAoLC9Hr9Xh7e5OYmEhQUBD9+vWzdohCCCHEBS8rK4tDhw7x17/+1dqhCGFV2dnZlJSU8NVXX/HVV1+126dWq6mqqmrXPfF0amtrAfDy8up0f11dnWlx+PHjx3fYfy7vJ6Kios57xNPhw4eJioqyyOwDO1UpcO6Fp7CwMKJizPthv6V/JhJH74xDCk/CqvR6Pbt37yY3N5eIiAgSExNlihininGVlZXk5eVRUFBAS0sLbm5uxMTEEBwcjKurq7VDFEIIIcRv/Pvf/yY+Pp6wsDBrhyKEVW3ZsoWgoCDuueeedtv1ej3PPfcc33//PVddddVZz+Pm5gacmhXR2eLvrq6uqFQq9Ho9sbGxPRL76TqpdpednZ1F3tOoz/MaagvFCZb7mUgcvTMOKTwJq6mvryc9PZ26ujqSkpJM3UcuZLW1teTl5ZGfn09DQwNOTk6EhIQQEhKCVquV9a6EEEKIXurJJ5+0dghCWJ3BYGD79u1ccsklnXaVGzx4MGlpaV0qPMXExKDRaNi0aVOHqXZtXTZjYmLYtGkT119/Pd7e3u2OKSkpwc/P7/wSEkL0CCk8CasoKipi586dODo6kpqailartXZIVtPY2EhBQQF5eXlUV1fj4ODAwIEDCQ4Opn///j32yYsQQgghhBDmtHfvXqqqqhg9enSn+0ePHs17771nWqv0TNzc3Jg1axYfffQRRqOR0aNHo9fr2bFjB46OjsydO5e77rqLxx57jL/+9a/MmDGDgIAASktLTcWq22+/vadTFEKcAyk8CYsyGo1kZWWRlZVFQEAASUlJF2THEJ1Ox4kTJ8jPz6esrAy1Wk1AQABxcXH4+/v3imGXQgghhBBCdMfWrVvx9PQkOjq60/1thactW7Z06Xw33HADWq2WNWvW8P333+Ps7Ex0dDSXX345ALGxsSxcuJBPPvmEVatW0djYiI+PD4MHDyYlJaXH8hJCnB8pPAmLaWlpYceOHZSVlZGQkEBMTMwFNXXMYDBQXFxMXl4excXF7dr1BgYGXpAFOCGEEEIIYTvmzp17xv0BAQF8++23ne7z9fXtdN9ll13GZZdddtpzRkRE8NRTT3UvUCGERUnhSVhEZWUl6enpGAwGUlJS8PU1b/eE3sJoNHLy5Eny8vIoLCyktbUVT09PEhISCA4OxsnJydohCiGEEEIIIfogrdYJjcYOnc7Q7cdqNHZotfJeRFiGFJ6EWSmKwvHjx9mzZw9arZbk5ORzam3alyiKQlVVFfn5+eTn59Pc3IyrqyuRkZEEBwfj7u5u7RCFEEIIIYQQfZyvnzsrv7iD6uqmDvuMBgM5OTmEhYV12v1Oq3XC10/elwjLkMKTMBu9Xs/u3bvJzc0lIiKCxMREm167qK6uzlRsqqurw9HRkeDgYIKDg/Hy8rqgphUKIYQQQgghzM/Xz73TApLBYMCgVBIV42vT78FE3yCFJ2EW9fX1pKenU1dXR1JSEqGhodYOySyam5tNxabKykrs7e0JDAxk2LBhDBgwQDrSCSHOWXNzMzqdztphnFFtbS0AhYWFpq9tQXFxMWB7eYHk1lfZam62mhec+kBSCCHEKVJ4Ej2uqKiInTt34ujoSGpqKlqttluPb62po7WiGsVgwM7VGUe//r1qtFBrayuFhYXk5eVRVlaGSqXCz8+PsWPH4u/vj729/FoJIc5Pc3MzYWFhXWo3bW0ajYa4uDhrh9HjNPYqm8wLbPeegeTWF9lqXgCOjo4YjUZrhyGEEFYn75BFjzEajWRlZZGVlUVAQABJSUld6tRmaG6h+It1lHyxjupdmbSUnAS1GlSAwYidixNu8VH0v2Q8QbfNxGmgn/mT+X2MBgMlJSXk5+dTVFSEwWCgf//+DB8+nIEDB+Lo6GjxmIQQtkun01FSUkJBQUGvXheusLCQuLi4Xh9nd7Xl9fP7Mbg529b0hOIKHRPvP2Jz9wxs9/kItpubreYFp0aEBgUFyeh3IYRACk+ih7S0tLBjxw7KyspISEggJibmrKOU9A2NHF3wT/L+uRKj3oCxqfnXnb/5dMjQ0ET1zn3U7svmyAvv0n/qOGJfeRS3wZHmSgc4tUj4yZMnyc/P58SJE+h0Ojw8PBg8eDDBwcE2v0i6EML63N3de/WbsbapMb09zu5qy8vN2c7mCk/1jafysbV7Brb7fATbzc1W8xJCCNGeFJ7EeausrCQ9PR2DwUBKSgq+vr5nf8z2n9l901xaK6sxNrd06TrG5lNrnZzc+APlo64mcv5fiHj4LtQ9OLVNURRqamrIy8ujoKCAxsZGnJ2dCQ8PJyQkBA8Pjx67lhBCCCGEEEIIYeuk8CTOmaIoHD9+nD179qDVaklOTu7SKKCcf3xE9qOvoOgNoCjdv7DBiGIwcnTBPzn53TaS1r6PvavLWWM90wishoYG8vLyyM/Pp7a2Fo1GQ1BQECEhIXh7e/eqNaaEEEIIIYQQQoi+QgpP4pzo9Xp2795Nbm4uERERJCYmdqlNZ87fl5H9+GsorfrzjsHY3ELNz5nsuPhWxm5ajp1Tvw7HGAwGfvjhB+zt7UlOTm63r6WlhYKCAvLz8ykvL8fOzo7AwECGDBmCn5+fzMkXQgghhBBCCCHOkxSeRLfV19eTnp5OXV0dSUlJhIaGdulxJzf+QPZjr/ZI0amNsUVHXeZBMu56gmErFrbb11Z0ausK1dTUhIODA4WFheTn55u2+/n5MXr0aAICAnBwcOix2IQQQgghhBBCiAudFJ5EtxQVFbFz504cHR1JTU1Fq9V26XGttfXsnfNQjxad2hibdRR/uZ6Ab9LwnTbx1DajkR9//LFdK/Lt27dTV1eHXq/H29ubxMREgoKC6Nev40gpIYQQQgghhBBCnD8pPIkuMRqNHDhwgOzsbAICAkhKSkKj0XT58QefeJ2l5cf5WF/GWvuoLj1mo7GGN42lLLYLw1d15pFISmsr+257lNTcragcNezcuZOioqJ2x9TU1BAXF0dwcDCurq5djl0IIfqSN954g9LSUl599VVrhyKEEEIIIYQUnsTZtbS0sGPHDsrKykhISCAmJqZbi2231tRRsORzFH3Pj3b6LUNTM8Wfr+NwoDvl5eUd9huNRoKCgqToJITo8/Lz87n77rtRq9UsW7YMHx+f0x77xhtvkJGRwbJlyywYYe+TlpbGxx9/THFxMR4eHkyZMoWbb765S+sT9nbldXa8v1nLAHcDd0yqtnY4PcaW75nk1vfYal5CCGEJUngSZ1RZWUl6ejoGg4GUlBR8fX27fY7CFf9BZYF/lI1NzRxfuJimF/6ESqVC6aRj3okTJ4iNjTV7LEIIYU7fffcd4eHhVFVVsWHDBm644YbTHnvnnXei0+ksGF3vs2fPHl577TVmz57N6NGjyc/P5+2330atVjNnzhxrh3de7njPH0U59WHQAPdGK0fTc2z5nklufY+t5iWEEJYihSfRKUVROH78OHv27EGr1ZKcnIyzs/M5nevEiq8wNjV32L7H2MAnxkpyacEOGK5y4Va1D/1/N63uoNLEa4ZijtGCFjuuUGu5Vu0FQKnSyh2GHB5T+/O9UseevUdwvGkbM/7wB1599VXUajUNDQ00NDTQ2Nh4ToUzIYToTfR6PZs3b+amm26iuLiYDRs2MGvWrNOORF2zZg0bNmxoN+Jp69atfPbZZxQUFODu7s7gwYO57bbb8PPzo7m5meXLl7N161bq6+sJDAxk1qxZjB8/3lIp9rg1a9YwduxYU4EuPDyc8vJyVq9ezezZs/t0F9MXZp4E4IMtWusG0sNs+Z5Jbn2PreYlhBCWIq+SogO9Xs+uXbv45ZdfCAsLY9KkSedcdFKMRur2H+6wfYuxlvnGQrxV9jys9uNO9QAOKk08ZCigWmk/Je9dYxkT1G48ow4gStWPD43l/GSsb3fM28ZSfHFgvksY91w5gw8//JDXXnsNrVZLYGAgUVFRJCYm4uXldU55CCFEb7Fz504aGxuZOHEiF198McXFxWRmZnb58evXr+f1119nwoQJvPXWWzzwwAMYDAZycnIAeP755zlw4ADz5s3jrbfeYsqUKbz88svs37/fXCmZ3eHDh4mKar++YEJCArW1te2aUPRF/p56/D31aOw7jvLty2z5nklufY+t5iWEEJYiI55EO/X19aSnp1NXV0dSUhKhoaHndb6Go3kYW1vbbTMqCh8aT5KocuZRO3/T9jhVP+4x5PFvYxW32fU3bb9F7cM0tRaAGMWJnYZj7FMaSeLXtZpGqVy4w64/KqMDEeFD2DFxImvXruWll146r/iFEKK3Wb9+PcnJybi6uuLq6kpUVBTr169nyJAhXXr8ihUrmD59Otdddx0AYWFhjBw5EoPBQGZmJhkZGSxfvtzUtTQkJISff/6ZTZs2ER8fb660zKqmpqbD+n5ubm4AVFdXExAQYI2wxBnY8j2T3PoeW81LCCEsRQpPwqSoqIidO3fi6OhIamqq6U3H+WgpLUftqMHY+OtUu0J0VGHgFpVbu2P9VRpi6EeG0n6NisEqJ9PX/VRqPLGjAWO7Y2L+d4zS2kpzYSkDBw4kNzf3vOMXQojepLKykp9//pkXXnjBtG3q1Kl88MEH3HPPPbi4uJzx8dXV1Zw8eZKEhIQO++zs7Dh06BB6vb7DmiUGg4GhQ4f2TBJWoCjKaRcA7k6zDGE5tnzPJLe+x1bzEkIIS5HCk8BoNHLgwAGys7MJCAggKSkJjUbTI+dW9HpUtP8Hue5/RSPPTp5+nip7jint14Pq97sZoSrg9xMKHH9zDaNOh1qtxmg0IoQQtmTjxo0YjUaeeOKJDvu2bt3KtGnTunSe061HYjQa6devH3//+9877HN0dOxesL2IVqulvr79FO3a2loAPDw8rBGSOAtbvmeSW99jq3kJ0ZNKS2qprm7qsN1oMJCfW4OdqhR1JwVcrdYJXz93S4QorEgKTxe4lpYWduzYQVlZGQkJCcTExPTIJze7du1i9erVPHzFTJT/FYCMgAYVbv8rJFWh7/C4KkWPO+fXAc/ezQXqy8/rHEII0RutX7+eadOmdSgwffTRR6Z9Z+Lh4YGnpyeZmZmMHTu23T5FUYiIiKC5uZmGhgZiYmJ6PH5rGTRoEJmZmcyYMcO0LTMzE3d3d2k60UvZ8j2T3PoeW81LiJ5SWlLLTTMWo9MZznDUj51u1WjsWPnFHVJ8snGyuPgFrLKykg0bNlBdXU1KSgqxsbE9Nlz4wIEDvPbaa5T1U2NsbgHgJHq8sScQDZ7YkabUtXtMiaLjIE3E/WZqXXepnfvhGjPovGIXQojeaP/+/RQWFnLllVcSERHR7r/LLruMQ4cOnXWKsUqlYubMmaxZs4bPP/+c3Nxc9u/fz5tvvsn+/fsZPnw48fHxLFiwgE2bNpGfn8+hQ4f4+OOP+eyzzyyTqBlMnz6dn376iS+//JKCggLS0tJYtWoV06ZNO+30mb6isUVFY4sKgwJ646nvm1v7/tQfW75nklvfY6t5WcOKFSu47LLLTP9Nnz6d66+/npdeeumclsm47LLLWLFiRc8HKrqlurrpLEWn09PpDJ2OlBK2RUY8XYAUReH48ePs2bMHrVZLcnLyOXetO52LL74YFxcX5j71BKke9uRUlbNNqeMalSdqlYpb1D68aSzlFUMxqSp3ajHwsbECV+y4Ru157hc2GNGOiIefN/VcMkII0QusX7+eyMhIQkJCOuwbNWoUHh4erF+//qznueaaa/Dw8OCLL75g5cqVODs7M2zYMAIDA1GpVDz//POsXLmS5cuXU1FRgZubGxEREcycOdMcaVnEqFGjePDBB/nss89YsmQJHh4eXH755cyePdvaoZ23vyz9tUnHUWDnUWei/Vt49MoK6wXVA2z5nklufY+t5mVNCxYsAE510z5x4gSrVq0iIyODpUuX9ump3UKIzknh6QKj1+vZvXs3ubm5REREkJiYaJZPagICAvjPf/7D448/zjPVh3E2wpUqLTeovQGYovbACTWrjZW8oBThjJoRKmfmqH3wVJ3701IxGnEfajvTQ4QQos3cuXNPu8/Ozo5Vq1Z1um/27Nkd3hxNnjyZyZMnd3p8v379uOOOO7jjjjvOPdheaOrUqUydOtXaYfS4D+8usnYIZmOr9wwkt77IVvOylmHDhpm+HjVqFAaDgcWLF5OTk2NTU72FEKdI4ekCUl9fT3p6OnV1dSQlJREaGmrW66WmpvLTTz9RsXUnO6fdgaJrbbd/nNqNcWq30zz6VHFqirrjgo0f2oebvvZVObDWPgoAlb09AddPx87ZiaVLl6IoCnq9HqPRiMFgwM7OrscWTRdCCCGEEEL0DIPh1DQtT89fZz5s27aNTz/9lPz8fJydnRkzZgy333477u7t1wJqampi6dKlbNy4kdraWqKiorjvvvs6HSEshLAOKTxdIIqKiti5cyeOjo6kpqai1Wotdm23scOw8/FEX1Rm9msZp1902nVI1Go111577Wm7OQkhhBBCCCHMT6fTAadmYxw5coT//Oc/XHHFFabF2jdt2sTrr7/O5MmTmTVrFpWVlaxatYrDhw/z5ptvtvsw+csvv2TcuHHcfffdNDc3s3LlSp555hk++OAD7O3l7a4QvYH8Jto4o9HIgQMHyM7OJiAggKSkJIuN+jEajeTk5HDgwAH010+h39ufobR27GTXE9QaB7xTkwmaMJZjaWkoitLhGC8vLyk6CSGEEEIIYWVXXXVVu+9dXV0JDw9HURQURWHJkiWMGTOGhx9+2HRMdHQ0DzzwABs3bmzXxfXaa6/lrrvuMn0fGBjIvHnz+OGHH5gwYUK34jIajZ2+j+iqtpFbbf9vTZaMxXie1zAaDGaPs7fcG1uMoytL90jhyYa1tLSwY8cOysrKSEhIICYmpse61p2JoigUFxeTkZFBbW0tISEhxD/zENnHyzi57nuMLboev6ZK48DQ9xfg2N+H5ORkfvjhhw7HhIWF9fh1hRBCCCGEEN2zcOFC09eNjY3s27ePd955h4MHD3LttddSUVHBbbfd1u4x0dHR+Pn5kZGR0a7w5OTUviN2XFwcjo6O5OXldTuuw4cPo9ef/wflhw8fPu9z9BRLxJKfW3Nej8/JycGgVPZQNGfWW+6NLcURHx9/1mOk8GSjKisrSU9Px2AwkJKSYhq2aonr7tu3j5MnTzJgwABGjx5tmqs95P+e5/thV9Bysgp6sMKrcrAnccmrOPr6AKc+5YiNjSU7O7vdcbt27aKsrIzo6GiLTjUUQgghhBBC/Co2Nrbd9yNGjMBgMPDll1+aml909ve6h4cHtbW1Zz2/s7Mz1dXV3Y4rKirqvEc8HT58mKioKLM0cOqtsdipSoEfz/nxYWFhRMWY9/1qb7k3F2ocUniyMYqicPz4cfbs2YNWqyU5ORlnZ2ezX7ehoYHMzEzy8/Nxd3dn/Pjx+Pn5tRthpfHxYmzaJ6RfdB2t1XUoPfBpgsrBnvh/PIPf1e27jMTHx1NVVUVJSQnw6z9mhw8fJi8vDz8/P2JiYujfv79FRoEJIYQQQgghTs/f3x8ABwcHgE4LR9XV1Wf9QN1gMFBTU3NOHzT31LIcdnZ2Vi88tbFELOrzPL/agj+v3nJvLrQ4pPBkQ/R6Pbt37yY3N5eIiAgSExPN/iTS6XRkZ2dz5MgRNBoNI0aMICws7LQv2i4RwYzb8QW7rvwjjccLMDa3nNN1VQ72qOzsGPrhywTMnNZxv0rFmDFj2LBhAwaDwRTToEGDKCgo4ODBg6SlpeHl5UVMTAwBAQGy/pMQQgghhBBWkpmZiZ2dHYGBgXh5efH999+Tmppq2n/w4EFKS0u57rrrzniebdu2YTQaGT58uLlDFkJ0kRSebER9fT3p6enU1dUxevRos7cPNRgMHDt2jKysLAwGA7GxsURFRZk+oTgT55BAxv/8FcdefY8jL76LSq3u+rpPajVqezu0Y4aRuPRVnIL8T3uoRqNh6tSp6PV6U1FJrVYTEhJCcHAwJSUlHDx4kPT0dFxdXYmOjiY0NLRXVJ6FEEIIIYSwVXv27AFOLeZdU1PDDz/8QHp6Orfddhvu7u7ceuutLFy4kFdeeYVx48ZRWVnJJ598QmhoKFOmTGl3ru+//x4PDw8GDBhAbm4uq1atYuzYsV1ad0YIYRlSeLIBRUVF7Ny5E0dHR1JTU826fpGiKJw4cYLMzEwaGhoICwtj8ODBHRb1Oxu1gwORT95L4Oyryfu/j8l/bxVGnQ5UaoxNze2OVTnYo9Y4YGzW4XPxRYT/9Va8J4/t0hQ5jUbTaRc/lUqFv78//v7+VFRUcOjQIX755Rf2799PZGQkgwYNslj3PyGEEEIIIS4kTzzxhOlrJycngoODmTt3LlOnnlo+Y+rUqWg0Gj777DO2b9+Os7Mzo0eP5vbbb+/wN7qvry9paWnk5OTg4ODAJZdcwu23327RfIQQZyaFpz7MaDRy4MABsrOzCQgIICkpyazFkvLycvbt20dFRQX+/v6MGzcODw+P8zqnc0gg4X+7n6IJQ4hWO9GafZyqHXtoKS1H0Ruxc3VGOzIBjxHxeI5JNC0g3pO8vb1JTk6mrq6OQ4cOkZWVxcGDBwkPDycqKsoia2QJIURnCgsLu7SIqrUUFxcDvT/O7mrLq7hCR32jbY2CLak8NcLY1u4Z2O7zEWw3N1vNC6Curs7aIfRKs2fPZvbs2V06dsKECUyYMOGMx3z77bc9EZYQwsyk8NRHtbS0sGPHDsrKykhISCAmJsZsi2TX1dWRkZFBYWEhWq2WCRMm9FiXPL1ez5YtW6itraU6LpD4i1MI++utPXLu7nJzc2PkyJHEx8dz5MgRjh49ypEjRwgODiYmJua8i2xCCNFVRqMRR0dH4uLirB3KWWk0mj4RZ3dpNBom3n/E2mGYhcZeZZP3DGz3+Qi2m5ut5gXg6OiI0Wi0dhhCmJ1W64RGY4dO1/3O5RqNHVpt92bPiL5HCk99UGVlJenp6RgMBlJSUnqsCPR7LS0tHDhwgGPHjuHk5ERSUhIhISE9VuAyGAxs377d9AlXa2trj5z3fPXr189UzMvJyTF1wvP39yc6Olo64QkhzE6tVtPS0kJBQQHu7u7WDue0CgsLiYuL6/Vxdpet5gW/5vbz+zG4OdvWaK7iCh0T7z9i0/fN1nKz1bwAamtrCQoKkuY14oLg6+fOyi/uoLq6qcM+o8FATk7OqWZPnaylq9U64etnW7//oiMpPPUhiqJw/Phx9uzZg1arJTk52SzTwPR6PUeOHOHgwYMAxMfHExkZib19zz1djEYj6enplJWVmbb1tiHWDg4OREVFMWjQIPLz8zl06JB0whNCWJS7u3uvfjPW9rrd2+PsLlvNC37Nzc3ZzuYKT23TIm35vtlabraalxAXIl8/904LSAaDAYNSSVSMrzRxuoBJ4amP0Ov17N69m9zcXCIiIkhMTOzxX1xFUcjLy2P//v00NTURERHB4MGDcXR07NHrGI1GduzYYZrX36ampqZHr9NT1Go1oaGhhISESCc8IYQQQgghhBCiG6Tw1AfU19eTnp5OXV0do0ePJiQkpMevUVpayr59+6iuriYwMJAJEybg5ubW49eBU4uUnzhxosP25uZmWltbcXBwMMt1z9fpOuEdOHCAyMhIIiIipBOeEEIIIYQQQgjxG1J46uWKiorYuXMnjo6OpKamotVqe/T8NTU1ZGRkUFxcjLe3N5MnT8bHp+c7x/1W//79GTduHIWFheTm5rbbV1tbi7e3t1mv3xN+3wmvrbugdMITQgghhBBCCCF+JYWnXspoNJqKGQEBASQlJfXoaJqmpiYOHDhATk4OLi4ujB07loEDB1pk0WyVSkVgYCBarZbc3FwGDx5Ma2sr5eXlfW7EkHTCE0IIIYQQQgghTk8KT71QS0sLO3bsoKyszNRdracKQq2trRw6dIjDhw+jVqsZOnQoERERVlmjqLCwELVaTVRUVK+dXtdVv+2Ed/z48Xad8GJiYvDx8ZFOeEIIIYQQQgghLjhSeOplKisrSU9Px2AwkJKSgq+vb4+c12g0kpOTw4EDB9DpdERGRhIbG2vVEUZFRUUMGDCgzxedfsvBwYHo6GgiIyNNnfC2bNkinfCEEL3KLbfcwtSpU5k9e7a1QxFCCCGEEDZOCk+9hKIoHD9+nD179qDVaklOTu6RdYIURaG4uJiMjAxqa2sJDg4mISEBFxeXHoj63Ol0Ok6ePMmwYcOsGoe5nK4TnpubG1FRUdIJTwhxTt544w02btxo+t7BwQF/f38mT57MddddJyMrzyAtLY2PP/6Y4uJiPDw8mDJlCjfffHOffy221bzalNfZ8f5mLQPcDdwxqdra4fQYW75vtpqbreYlhBCWIIWnXkCv17N7925yc3OJiIggMTGxR/4Rq6qqYt++fZSVldG/f3+mTJmCl5dXD0R8/oqLi1EUhcDAQGuHYlbSCU8I0dOio6N5/PHHURSFpqYmtm7dytKlS/H19WXixInWDq9X2rNnD6+99hqzZ89m9OjR5Ofn8/bbb6NWq5kzZ461wztntppXmzve80dRThVTB7g3WjmanmPL981Wc7PVvIQQwlKk8GRl9fX1pKenU1dXx+jRowkJCTnvczY0NLB//37y8vJwd3fnoosuwt/fv1d9El5YWIiXlxdOTk7WDsVipBOeEKInaDSadtOw/fz8+PTTT6moqABOTa3+9NNPWbduHZWVlfj6+nLttdcybdq0duepqKhg0aJFpund48aN495776Vfv34WzccS1qxZw9ixY7nhhhsACA8Pp7y8nNWrVzN79uw+OwXaVvNq88LMkwB8sEVr3UB6mC3fN1vNzVbzEkIIS5FXSSsqKipiw4YN6PV6UlNTz7vopNPpyMjI4Ntvv6W0tJQRI0Zw8cUXExAQ0KuKTgaDgZKSEgICAqwdilW0dcKbPn06kZGR5OTk8PXXX/PTTz9RU1Nj7fCEEH1IS0sLX331FZ6enqSkpADw8ccf8+9//5tbbrmFf/zjH1x11VW89957bNiwod1jt2/fzsCBA3nppZd45JFH2LVrFytXrrRGGmZ3+PBhoqKi2m1LSEigtraWkpISK0V1/mw1rzb+nnr8PfVo7BVrh9KjbPm+2WputpqXEEJYiox4sgKj0Wga7RIQEEBSUtJ5TbcyGAwcO3aMrKwsDAYDMTExREdH99pFu8vKytDr9TY/ze5snJycOnTCy83NlU54Qogz2r9/P1deeSVwaqq2oihMnToVe3t7dDodq1ev5q677mLy5MkAhIaGUlZWxsqVK5k6darpPFdddRUzZ84EYNCgQVx77bWsXr2aO+64w/JJmVlNTQ2urq7ttrm5uQFQXV3dZz8IsdW8bJ0t3zdbzc1W8xJCCEuRwpOFtbS0sGPHDsrKykxFh3MtLiiKQmFhIRkZGTQ0NBAaGkp8fHyvn75WWFiIq6sr7u7u1g6lV2jrhDdo0CAKCgo4ePAgW7Zswdvbm+joaAIDA6UAJYQwiYyM5KGHHgJOFZ5OnjzJxx9/zNy5c5k/fz46nY64uLh2j4mLi+Pzzz+nsbHxtNN6Q0NDqa+vp66uzvSGylYoinLatRP78uurreZl62z5vtlqbraalxBCWIoUniyosrLStJZGSkpKuzU6uqu8vJx9+/ZRUVGBn58fycnJaLXangvWTBRFoaioiODgYPmH+nfs7OykE54Q4qwcHR0JCgoyfR8WFoaXlxf33XcfmZmZnT5GUU5NVTrT625ra2u7Y22JVqulvr6+3bba2loAPDw8rBFSj7DVvGydLd83W83NVvMSQghLkTWeLEBRFI4dO8bmzZvp168fU6dOPeeiU11dHenp6WzevBmDwcCECRNISUnpE0UnOFV8a25uvuCn2Z1JWye8SZMmkZqairu7O7/88gtff/012dnZ6HQ6a4cohOhlmpqaAPD390ej0ZCVldVu/4EDB/D19T3jiNjs7Gz8/PxscjTqoEGDOhTlMjMzcXd3P68PgazNVvOydbZ832w1N1vNSwghLEVGPJmZXq9n9+7d5ObmEhERQWJi4jmNWmlpaSErK4tjx47h6OhIUlISISEhfW7UUGFhIY6Ojnh7e1s7lD7B29ubcePGSSc8IYSJTqejtLTU9PXx48dZvnw54eHhJCYmMmPGDJYvX46zszMRERHs27ePtWvXcu+997Y7z4EDB0xvnPbt28eaNWuYO3euNVIyu+nTp/PMM8/w5ZdfMmrUKI4dO8aqVau48sor+/RIUlvNq01jy6m/cQwK6I2nvleroZ9D3x6VZ8v3zVZzs9W8hBDCUqTwZEb19fWkp6dTV1fH6NGjz6lrncFg4MiRI2RnZ6MoCoMHDyYyMhJ7+75564qKivD395e2s93U1glv8ODBHDlyhGPHjnH06FGCg4OJjo6WYd5CXEAOHTrErbfeCpyaouvp6cn48eO5/vrr0Wg03HTTTdjZ2bF06VKqqqrw9fXlrrvu4uKLL253ntraWhYuXEh5eTne3t788Y9/ZMKECVbIyPxGjRrFgw8+yGeffcaSJUvw8PDg8ssvZ/bs2dYO7bzYal5t/rLU3/T1UWDnUWei/Vt49MoK6wXVA2z5vtlqbraalxBCWIpKscXFHHqBoqIidu7ciaOj4zmtv6QoCvn5+WRmZtLU1ERERARxcXH069fPPAFbQF1dHd9++y3jxo2TqXbnqbW11dQJr6mpSTrhCWFjamtr8fDwoKampldPfTtx4gRBQUG9Ps7ustW84NfcDq0cjJuzbY3UKC7XMeKugzZ932wtN1vNC/rO67g4N6UltVRXN3XYbjQYyMnJISwsDHUno+G0Wid8/SzzfDAYDGRnZxMbG2vVkXkSh8QBMuKpxxmNRtN0qICAAJKSktBoNN06R1lZGfv27aOqqorAwEAmTJhgEx2GCgsLsbOzk7nwPeBMnfBiYmIICAiQApQQQgghhBA9rLSklptmLEanM5zhqB873arR2LHyizssVnwSoreQwlMPamlpYceOHZSVlZGQkEBMTEy33vzX1NSQkZFBcXExXl5eTJo0if79+5sxYssqKirC19e3z04T7I1+2wmvuLiYQ4cO8cMPP+Dm5kZ0dDQhISGy9oAQQgghhBA9pLq66SxFp9PT6QxUVzdJ4UlccKQC0EMqKir48ccfMRgMpKSkdGtUT1NTEwcOHCAnJwdnZ2fGjh3LwIEDbWrESnNzM+Xl5YwaNcraodgklUpFQEAAAQEBVFRUcPDgQX7++Wf2799PZGQkERER3R55J4QQQgghRHcdPnyYv/71r6bvExISePXVV7v8+DfeeIOMjAyWLVtmjvCEEFYghafzpCgKx44dY+/evWi1WpKTk7vcaUyv13Po0CEOHTqEWq1m6NChRERE2OQIlaKiIlQqFf7+/mc/WJyXtk54tbW1HD582DT1MyIigsjISOmEJ4QQQgghzGbgwIEsWLAAgPfff9/K0QghegMpPJ0HvV7P7t27yc3NJSIigsTExC4VjYxGI7m5uezfvx+dTkdkZCSxsbE2PSKlqKgIb2/vPr04el/j7u7eoRPekSNHpBOeEEIIIYQwG2dnZ4YNGwaAq6urlaMRQvQGUng6R/X19aSnp1NXV8fo0aMJCQk562MURaGkpISMjAxqamoIDg4mPj7e5l+Q9Xo9paWlxMfHWzuUC5KTkxNDhgwhNjbW1AkvNzeXgIAAoqOjpROeEEIIIYSwiJKSEhYvXszevXtpbW1l0KBBzJkzhyFDhnQ4du/evaxcuZLDhw/j5eXFjBkzuPzyy03726bk3XfffXzyySccPXq00+OEENYnhadzUFRUxM6dO3F0dCQ1NRWtVnvWx1RVVZGRkUFpaSn9+/dnypQpeHl5mT/YXqCkpASDwUBAQIC1Q7mgSSc8IYQQQghhLdXV1cybNw9nZ2fuvPNO+vXrx4YNG3jyySdZsGABCQkJpmNPnjzJa6+9xh/+8AeuueYa0tLSeOeddwgPDycuLs50XFlZGYsWLeIPf/gDM2bMOO1xXWU0GlEU5czHGM5tYfHfPt5wnufoirZrWOJaEseFHUdXZn1J4akbjEajab2cgIAAkpKSzjo9rrGxkczMTPLy8nBzc2PcuHEX3Bv8oqIi3N3dcXNzs3Yogo6d8A4ePCid8IQQQgghhFl9+eWX1NfX849//MP0Afz48eO59957WbJkCQsXLjQd6+HhwXvvvYeLiwsAw4YNIz09nV27drUrKGm12i4d11WHDx9Gr9ef8Zj83Jpun/e3cnJyMCiV53WO7jh8+LDFrnUmEkd7thRHV2Y2SeGpi1paWtixYwdlZWUkJCQQExNzxuKRTqfj4MGDHDlyBHt7e4YPH054eDhqtdqCUVuf0WikqKiIiIgIa4cifue3nfDKy8s5dOiQdMITQgghhBBmkZGRQWxsbLtZH2q1mosuuoiPP/6Y5uZm03qwGo3GVEyCU0tHuLu7U1FR0e6cXT2uq6Kios464slOVQr8eE7nBwgLCyMqpusd0M+VwWDg8OHDREVFWfVDZYlD4gApPHVJRUUFP/74IwaDgZSUFHx9T/9CYTQaOXbsGFlZWej1eqKiooiJicHBwcGCEfce5eXl6HQ6mWbXy/n4+ODj40NtbS2HDh2STnhC9BKFhYXU1tZaO4zTKi4uBnp/nN1lq3nBr7kVV+iob7St0a0llTrAtu+breVmq3kB1NXVWTuEXqe2thY/P78O27VaLUajkfr6+jM2InJwcDhrUag7x3WmK4ME1Of5Jl1tZ2fRgoOdha8ncUgcnZHC0xkoisKxY8fYu3cvWq2W5OTk074BVxSFwsJCMjIyqK+vJywsjMGDB1/wb9iLiopwcnK6YNaz6uvc3d0ZNWoU8fHx0glPCCsyGo04Ojqe0zQBS9PYq/pEnN2l0WhsMi84ldvE+49YOwyzsPX7Zou52WpeAI6OjhiNRmuHYVUGg8H0Aby7uzvV1dUdjqmurkatVtt8wyUhLmRSeDoNvV7P7t27yc3NJSIigsTExNNWAisqKti3bx/l5eX4+fmRnJzcpQXHbV1bMe5CW9PKFvy2E15b8amtE15MTAw+Pj7WDlEIm6ZWq2lpaaGgoAB3d3drh3NahYWFxMXF8fP7Mbg5W/9Tu55SXKFj4v1Hev3P/1y03TPJrW+x1dxsNS84NbonKCjogltm4/fKysoYNmwYAEOGDOGrr76ivLzc9Lek0Whk27ZtREdHn3G0kxCib5PCUyfq6+tJT0+nrq6O0aNHExISctrjMjMzKSgowMPDg5SUlE6Hj16oampqaGhokGl2fZiDgwMxMTFERkaSn5/PoUOH2Lx5s3TCE8JC3N3de/WbsbapMW7OdjZVeGqbgtbbf/7nou2eSW59i63mZqt5Xcg2bNiAvb09Li4u/Pjjj5SXlzNx4kQArrnmGjZu3Mhjjz3GzJkz6devH+vXr+fEiRMsWLDAuoELIcxKCk+/U1RUxM6dO3F0dCQ1NbXTkUstLS1kZWVx7NgxHB0dGTVqFCEhIRf8Jxq/V1RUhL29PQMGDLB2KOI82dnZERYWRmhoqHTCE0IIIYQQnTp69CgbN27EYDAQGBjI448/zvDhwwHw9PTk9ddf58MPP+T999+ntbWVQYMG8eKLLzJkyBArRy6EMCcpPP2P0Wg0LagcEBBAUlJSh45eBoOBI0eOkJ2djaIoxMXFERUVhb29/Bg7U1hYiL+/vxQkbMiZOuFFRUURHh4unfCEEEIIIS5Q99xzD/fcc89p9wcEBPDUU0+d8Rzz5s3rdPuyZcvO6bieptU6odHYodMZuv1YjcYOrdbJDFEJ0btJxYRTI5h27NhBWVkZCQkJxMTEtJs+pCgKBQUFZGRk0NTURHh4OIMHD5Z5yGfQ2NhIVVUVUVFR1g5FmMnvO+Ht37+frKwsIiIiiIqKwslJ/lEVQgghhBC2xdfPnZVf3EF1dVOHfUaDgZycHMLCwjrtfqfVOuHrJ9NKxYXngi88VVRU8OOPP2IwGEhJScHX17fd/rKyMvbt20dVVRUBAQGkpKTIHPQuKCoqQqVS4e/vb+1QhJmdrhNeSEgI0dHR8vsihBBCCCFsiq+fe6cFJIPBgEGpJCrGV2Z9CPEbF0zhqbW1FcDUzlNRFI4dO8bevXvRarUkJyfj7OxsOr62tpaMjAyKiorw8vJi0qRJ9O/f3yqx90WFhYUMGDBApl1dQDrrhJeTkyOd8IQQQgghhBDiAnZBFJ4URSEtLY2WlhYuvvhi1Go1v/zyC3l5eURERJCYmGiqSDc3N3PgwAGOHz+Os7MzY8aMISgoSDp3dYNOp+PkyZMMHTrU2qEIK5BOeEL0PhkZGTz66KMsXbq0w8heIYQQQgghzKlPFZ4UoxGlqQ6MBlCpUTm5orI7ewplZWVUVVUB8MMPP9DS0kJDQwOjR48mJCQEAL1ez+HDhzl48CBqtZohQ4YwaNAgGSJ5DkpKSjAajQQEBFg7FGFF0glPiJ6XlpbGK6+8Yvr+lVdekU5A3VBeZ8f7m7UMcDdwx6Rqa4fTI9LS0vj4448pLi7Gw8ODKVOmcPPNN9vE66vk1jfZam62mpcQQlhCry88KS2N6E8cwliSg9JQA4oCKhWgnPrayRU7nyDsgmNRu3p2eo4DBw6gUqlQFIWTJ0+iVquZMmUKWq0Wo9FIXl4e+/fvp6WlhUGDBhEbG4ujo6NlE7UhhYWFeHp64uLiYu1QRC/w+054Bw8e5Oeff+bAgQNERkZKJzwhumHMmDEsXbqUkydP8vDDD1s7nD7ljvf8UZRToy0HuDdaOZqesWfPHl577TVmz57N6NGjyc/P5+2330atVjNnzhxrh3deJLe+yVZzs9W8hBDCUnpt4UlpbaH14A6MxcdApT41ysm0U/n166Z6DCcOYSg4iMrTF4f48aidf13orby8nPLy8nbnNhqNlJaW0tzczL59+6ipqSEoKIiEhARcXV3NnZpNMxgMlJSUSDc70SkfHx8uuuiidp3wsrOzCQ8Pl054QnRBv379Ou2oWlpayvvvv8+ePXswGAzExcVx1113ERYW1u64AwcOsGjRIrKzs/Hy8mLOnDlMmjTJdI5bb72Vu+66i8zMTA4cOIBGo+Gaa65hxowZFsnPnF6YeRKAD7ZorRtID1qzZg1jx47lhhtuACA8PJzy8nJWr17N7NmzUavVVo7w3ElufZOt5mareQkhhKX0yldJQ0URLdtWYyzJOVVk+m3RqTOKEVBQqkvR/fAF+oJs0679+/d3+pB9+/bx/fff4+DgQGpqKmPHjpWiUw84efIkra2tBAYGWjsU0Yu1dcKbPn064eHhHD9+nK+//ppdu3ZRW1tr7fCE6FNaW1t58sknqa+v57nnnuOVV17Bzc2Nxx57rMPv06effsoVV1zB3//+d0aNGsXChQs5efJku2O++uorkpOTef3115k+fToffPABhw4dsmRKZuHvqcffU4/GXjn7wX3E4cOHO3zQk5CQQG1tLSUlJVaKqmdIbn2TreZmq3kJIYSl9LrCk6Esj9ZfvoPWlrMXnH5PUcBoRJ+9g9Yjv1BaWkpZWdlpD4+MjGTSpEl4e3ufZ9SiTWFhIS4uLnh4eFg7FNEHODk5MXToUKZPn058fDzFxcWsW7eO7du3dxipKIToXFpaGuXl5TzxxBMMHjyY6OhoHnroITQaDWvWrGl37LPPPsu4ceMICQnhxhtvRK/Xc+TIkXbHzJs3j6lTpxIcHMz111+Pk5MTWVlZlkxJdFFNTU2HD83c3NwAqK6utkJEPUdy65tsNTdbzUsIISylVxWejNVltO7d/L8RTOdBMWLIyUBTnoezszNeXl6dHnbixAmMxvO8ljBRFIWioiLpWia6TaPREBMTw/Tp0xk5ciR1dXVs3ryZzZs3U1RUhKLYzggFIXpabm4ugYGBuLv/Os3cwcGByMhIcnJy2h3729fmtg8IGhoaTnuMWq3Gzc2twzGid1AU5bQLG/f1f4clt77JVnOz1byEEMJSekXhac6cOahUKhY8+kCHotPFD7/KxQ+/avre6dI7eWH5f85+UsWIU+EBJo0dRWVlZaeHNDU1nXFElOieqqoqmpqaZJqdOGd2dnaEh4dz6aWXMm7cOAC2b9/Od999R05ODgZDN0dBCiFOS94s9X1arZb6+vp229qmV/b1kceSW99kq7nZal5CCGEpVi881dXV8cUXXxAfNYgP12w868iGtEWPc+ul47t4dgW7o7sIDAwkKiqKoUOHMnz4cJKSkkhOTmbChAn4+vqefxICODXNTqPR4OPjY+1QRB+nUqkIDAxk8uTJTJ48GVdXV3bt2sU333zDwYMHaW1ttXaIQlhV2xugfv36ERoaSmFhYbv1nHQ6HYcPH+6wuLiwLYMGDSIzM7PdtszMTNzd3fv83zeSW99kq7nZal5CCGEpVi88ffLJJxgMBt744x/IKT7Jxl8OnPH40bERDOzf+dS5DhQFqssYO3QwiYmJREdHM2jQIEJDQxk4cCC+vr7ShaIHFRUV4e/vLz9T0aPaOuFdeuml+Pn5sX//ftauXUtGRgZNTU3WDk8Iizlw4AA5OTnk5ubyySefoNVqCQkJYcKECXh7e7NgwQKysrI4fPgwr732GjqdjiuuuMLaYfcajS0qGltUGBTQG09939zat0d9TZ8+nZ9++okvv/ySgoIC0tLSWLVqFdOmTTvttKC+QnLrm2w1N1vNSwghLMXe2gF8+OGHTEweTcqQaKIG+vH+N1uZOjL+tMc7XXonT950BU/dfBUAZdW1PP3hl3z70z4aW3QMjQjmuduuJXlwJABGReGl+Y+zZM0GCgoKCAkJ4b777uO+++6zSH4Xivr6empqahg8eLC1QxE2qq0T3uDBgzly5AjHjh3j8OHDhISEEB0d3W59GyFs0ebNm9m0aRNqtZqIiAieffZZHB0dAXjxxRd57733eOqppzAajcTGxvLSSy/J78Vv/GWpv+nro8DOo85E+7fw6JUV1gvqPI0aNYoHH3yQzz77jCVLluDh4cHll1/O7NmzrR3aeZPc+iZbzc1W8xJCCEuxauEpOzubnTt3svzl+WA0MHtqMs8u+4rC8ioCfTzP+viG5hYmPfgSOr2B52+fQaCPJ2//eyNXPvkmP/zjKaKD/Ln/7x/x0YYfeOLJp0hOTmbr1q088MADVFdXM3/+fAtkeWEoLCxErVbLcGNhds7OzgwdOpTY2FiOHz/O4cOHycnJITAwkOjoaJnqKWzWmT408fPz4+mnnz7tY4cMGcK3337bYftvt/n6+nZ6zLJly84h2t7nw7uLrB2CWUydOpWpU6daOwyzkNz6JlvNzVbzEkIIS7Bq4Wnx4sVotVquGB4FxhZmTzlVeFq6bhtPzr7yrI9fvv4HckrK2fHO0wwJDwJgXHwUY+59lm0Zh1GrVHy4bhvP3XYtT85/CpWdPRdffDFqtZoFCxbw5z//GW9vb3OneUEoKirC19cXBwcHa4ciLhBtnfAiIyPJy8vj0KFDbN68GR8fH2JiYvD395fFk4UQQgghhBDCyqy2GI9er2fFihVcffXVNNXXUl3fiJOjhglDo1mybhsGg/Gs5/jhwBFC/XxMRSeAfhoH9r7/AndOn0DavoMoisL0MYm01lWj1+vR6/VceeWVNDc3s23bNnOmeMFoaWmhvLycgIAAa4ciLkC/74SnKIp0whNCCCGEEEKIXsJqI57Wrl1LaWkpS5cuZenSpR32f/PTPq4YO+yM56israe/h9sZ9wMM/+N8+GPHaXVFRbY57N7SiouLURRFCk/Cqto64QUGBlJeXs7BgwfZtWsX+/fvJzIykoiICBmRJ4QQQgghhBAWZrXC04cffkhISAhLly5F9/M6MP46KuGGF/7JB19vPWvhycPFmdyS8g7bd2Qdw925Hx4uzgCse+VhPMdOQ+3k2u644ODgHshEFBYW4u3tjZOTk7VDEQL4tRNeTU0Nhw4dYv/+/WRnZxMREUFkZKQ8V4UQQgghhBDCQqxSeCotLeXbb7/loYceYuLEibQ4VKHUV5r2z5yQxPvfpJFbcvKM5xkXH8lXP+xmf84J4sMGAtCia+WGF95lRsoobrt0PADltfVcPC4FlfrUzMLvvvuORYsWsWjRIgYMGGCmLC8Mer2ekpIS4uLirB2KEB14eHiQlJREfHw8R44c4ejRo9IJTwghhBBCiB5WWlJLdXVTh+1Gg4H83BrsVKWo7ew67NdqnfD1k7/JbZ1VCk/Lli1Dr9dzww03AKD29MXwm8LTTVPH8q+1W1j8zfdnPM+ciy/i3f9s4g9/e5tn5lyFj4cb/7dmM00tOv585WTCAwZww+Qx3PvWMoo8whg5ciSHDh3iiSeeICwsjKioKLPmeSEoKyvDYDAQGBho7VCEOK3fdsI7duwYR44cMXXCi4mJkSYDQgghhBBCnKPSklpumrEYne5Ma6v+2OlWjcaOlV/cIcUnG2eVwtPSpUsZPHgwQ4YMAUA9IBhD4SEwnlpQfFR0ONFBfny0fjth/gPQ2HesjAK4Ofdjw+uP8sQHq5n3z0/QG42Mig7ju1cfJjzg1Eim9x6+k9e/+4X/+7//o6CgAF9fX2bNmsULL7yAXScVV9E9hYWFuLm5ycgR0SdoNBpiY2OJiooydcLbtGmTdMITQgghhDCjefPmkZWVxZQpU5g3b561wxE9rLq66SxFp9PT6QxUVzdJ4cnGWaXwlJWV1e57tXcgOPSDlkbTtr3vv9DpY5vWfdDu+wBvLUsfveu017JXq3jm5df526J3zyNi0Rmj0UhRURGhoaHWDkWIbmnrhBcWFkZRUREHDx5k+/btuLu7Ex0dTXBwsBSmhRBCCCF6QGlpKdnZ2QQFBZGens59992HRqOxdlhCCAtSWzsAONWNyn7QcFD38Bs9tRq1fwQqR+eePa8AoLKykpaWFplmJ/qstk54kydPZtKkSbi6urJr1y6++eYbDh06RGtrq7VDFEIIIYTo09LS0nBxcWHu3Lk0Njby008/WTskIYSFWa2r3e/ZBUZhKDyMUnMSFKWHTqrBIWZsz5xLdFBYWEi/fv3w8vKydihCnBeVSkX//v3p37+/qRNeZmYmWVlZ0glPWFVhYSG1tbXWDuO0iouLT/1/hY76RtsZJVhSqQN6/8//XLTdM8mtb7HV3Gw1L4C6ujprh9BrpKWlMX78eGJiYggNDSUtLY2LLrrItP+RRx5BURQuvvhiVq9eTXFxMYGBgdxzzz1otVqWL1/Onj170Gg0TJ48mdtvvx07Ozu2bdvGggULWLBgAcOGte+Gft999+Hp6clzzz1n6XSFEJ3oNYUnlUqFZsgkWtL/DXrdeZ9PUanQDJ2EykGGcZqDoigUFhbi7++PWt0rBs4J0SNO1wkvNDSUqKgoWc9MWITRaMTR0bFPdAzVaDRMvP+ItcPocRqNpk/8/M+Fxl5lu7nZ8n2z0dxsNS8AR0dHjP9bw/ZClZeXR25uLvfeey8AqampfPTRRzQ0NODi4mI6bv/+/dTX1zNz5kycnZ1ZunQpzz33HIqicOmll/Loo4+SmZnJ559/TmhoKFOnTiU5ORlvb2++/vrrdoWngwcPcvToUZ599lmL5yuE6FyvKTwBqJxc0Yy+HN3OtWBoPeeRT0YgQ+dOvKM7rj0bovifuro66uvrSUxMtHYoQphFZ53wjh8/fk6d8PQGhQMHa6iuacXOXkVwgDPBA2UKsDg9tVpNS0sLBQUFvbrYWVhYSFxcXK+Ps7tsNS/4Nbef34/Bzdl2RqnBqZF3E+8/YtP3zdZys9W8AGprawkKCrrgP6DdsmULfn5+DB48GICJEyeyZMkS0tPTmTp1qum48PBw3nzzTRwcHABobGxk4cKFPPHEE4wfPx6ApKQk0tLS2L17N1OnTsXOzo5LL72UVatWUVlZaZqFsXbtWvz9/Rk1alS34zUajSjnMfvGYDC0+39rsmQsxvO8htFgMHucveXe2GIcXVkbt1cVngDUrp44Jl+DLiMNpbYcjN34QajtQNMPVcw4Kn/J5Pvvv2fSpEkyRcYMCgsLsbe3Z8CAAdYORQizOl0nvP79+xMdHc1jjz3G8uXLefnll3n00UfbPbaqWse/vyni87WFNDcbsLM71TFPpzMSGeHGDdcMZGJyf9N2IX7P3d29V78Za5sa09vj7C5bzQt+zc3N2c7mCk9t0z1t+b7ZWm62mpf41datWxkzZozpXjs4OBATE8OWLVvaFZ5cXFxMRScAHx8f4NRI9N/q378/VVVVpu8vu+wyVq1axbp167jxxhupra1l27Zt3HLLLefUqfjw4cPo9fpuP66z8/QWloglP7fmvB6fk5ODQansoWjOrLfcG1uKIz4+/qzH9LrCE/xv5FPSdAyFh9Ef3Q2tzXCmYapqO1CpsQuOwz4iEZWdPSkpnmzZssVUfJLOCT2rqKgIX19f7O175VNIiB732054hYWFHDx4kA0bNvDZZ58RHR3Ne++9xyOPPGL6I+fI8Xr++uQ+mlsM6Fr/98lZ66+foB08UseLbx5i3eZSXngsDkdH23oDKIQQQogLW3Z2NiUlJXz11Vd89dVX7fap1Wqqqqrw9PTs9LGnG0Fhb2/fbvqit7c3Y8aM4dtvv+X6669n/fr1qFSqdkWt7oiKijrvEU+HDx8mKirK6h2SLRmLnaoU+PGcHx8WFkZUjG/PBdSJ3nJvLtQ4em3VQKVSYT8wGrvAKIwVhRjL8jFWl6I01IJiAJUaVT8XVNoB2HkHovYNRWX3azqurq6kpKSwZcsWtm3bxoQJE6RI0kOampqoqKggKSnJ2qEIYXEqlYqBAwcSGBjIwoULURSF66+/nueee47Fixdzyy23UHpSz72P7aWp2XDGGcM6nZFf9lXx1MtZvDI/HrVaRj4JIYQQwjZs2bKFoKAg7rnnnnbb9Xo9zz33HN9//z1XXXXVeV/n8ssv54cffmDnzp188803TJo0CTc3t3M6V09NjbSzs7N64amNJWJRn+f51Rb8efWWe3OhxdHrKzEqlQo7n4HY+Qzs9mM9PDwYP348W7duJT09nXHjxvWKm9vXFRUVoVKp8Pf3t3YoQliNSqVi9erVTJ48mblz57Js2TLee+89vL29+eb7ATS3GMj44a84uQbj6DSAktz/oG+tw8M7kUGJj1JVtpMTR5aja6lk7/bBjBj8L2b9YQTvvPMOf/nLXzh06BBRUVGm661atYobb7yR48ePExoaar3EhRBCCCHOwmAwsH37di655JIOHecABg8eTFpaWo8UnhITEwkKCuLdd9+loqKCp5566rzPKYToWTa/2p23tzfjxo2jrKyMn3766YLvLNETioqK8PHxwdHR0dqhCGE12dnZ7Ny5k1tuuQUPDw/+9Kc/sXv3bnStThw81mqaHVxetJnqkz8zaOjDhA2+l+ryn9mf/leKc74gNO4ewgffT03lAR595AEAbrrpJvr168fy5cvbXW/ZsmVMnDhRik5CCCGE6PX27t1LVVUVo0eP7nT/6NGjOXjwICUlJT1yvenTp1NRUUFcXBzh4eE9ck4hRM+x+cITgK+vL2PGjOHEiRPs3r37vObtXuhaW1spLS0lMDDQ2qEIYVWLFy9Gq9Vy9dVXA3DLLbcAsHLVOuztf31pVYytxI58Ac8Bo/ELuRIPn+E0NRQQM+I5vP3G4xs8Dd+gyygs2ENhSRNarZZrrrmGFStWmF6riouL2bBhA7fddpvF8xRCCCGE6K6tW7fi6elJdHR0p/vbClJbtmzpkeu1dc274ooreuR8Qoie1eun2vWUgQMHMnLkSHbt2oVGo2HIkCHWDqlPKikpwWg0EhAQYO1QhLAavV7PihUruPrqq2lubqa5uRknJycmTZpE2uZVJFx0JSrVqWm9Tq4h2Gt+XWdA4+iFg0ZLP5dff4fsHdwx6BsoKm4i0M+JO+64g08++YRt27aRkpLC8uXLcXZ2ZsaMGRbPVQghhBCiu+bOnXvG/QEBAXz77bcA3HDDDR32DxkyxLT/t1599dVOz7du3To8PT256KKLziFaIYS5XTCFJzi1Wr5Op2Pfvn1oNBpiYmKsHVKfU1RUhIeHB66urtYORQirWbt2LaWlpSxdupSlS5d22F9Z+iPefqf+8LGzd+6wX23X+TTVVv2pEU6TJ08mLCyMjz76iJSUFJYtW8Z1112Hs3PHc4kLU35+PnfffTdqtZply5aZ2k6L00tLS+Pjjz+muLgYDw8PpkyZws0339zn13601bzalNfZ8f5mLQPcDdwxqdra4fQYW75vtpqbreZlC+rq6ti4cSMzZsyQZlJWotU6odHYodMZuv1YjcYOrdbJDFGJ3uSC+82Mjo5Gp9ORkZGBg4MDERER1g6pzzAajRQVFREZGWntUISwqg8//JCQkJBOi07Tp19Daf5/TYWn7vD0cABOLVx+66238uabb3LvvfeSlZXFe++9d75hCxvy3XffER4eTlVVFRs2bOj002Lxqz179vDaa68xe/ZsRo8eTX5+Pm+//TZqtZo5c+ZYO7xzZqt5tbnjPX8U5VS3zwHujVaOpufY8n2z1dxsNS9b8e2336LX65k2bZq1Q7lg+fq5s/KLO6iubuqwz2gwkJOTQ1hYWKfd77RaJ3z93C0RprCiC67wBBAfH49Op+OXX35Bo9EQFBRk7ZD6hJMnT9La2irT7MQFrbS0lG+//ZaHHnqIiRMndth/+ZUz+GzVEpobi7t97uhBv07Ju+2223j22WeZO3cukZGRjBs37nzCFjZEr9ezefNmbrrpJtP6X7NmzUKlOvUG/ZFHHsHV1ZXAwEC2b99OVVUVw4cP55577mHNmjVs3ryZhoYG4uPjmTdvHlqtls2bN7No0SKWLVuGl5eX6Vr/+c9/WLlyJStWrECj0Vgr5fO2Zs0axo4dayrQhYeHU15ezurVq5k9e3aPtc+2NFvNq80LM08C8MEWrXUD6WG2fN9sNTdbzctWXHfddVx33XXWDuOC5+vn3mkByWAwYFAqiYrxlRGCF7AL8lVSpVL9f3t3Hldlmf9//H0OcEBAQFxYFJcEFfclMlNRnLTBJcdqmkom/dpi07dvm202Y5vljDo50zatTlnZz7RsMbVcSkgzTdPEMrUyl4PggoCgcuCc+/cHcZTQFOFwzrl5PR8PH3mu+76u+/PhQuh8zn1dt3r37q3WrVtr3bp1dfY0BbPLyclRo0aN1KRJE2+HAnjNnDlzVF5efsY7TO6+8yZJLuXuXnTOYwYEVBQMrFaLuy0hIUFDhw7VqlWrNH78+NqEDJNZt26djh07psGDB2vYsGHav3+/srOzq5xT+RTXhx56SFOmTNE333yjCRMmqLCwUI888oimTZumXbt2uZ+eOGDAAIWFhemTTz6pMs7ixYt12WWX+XXRSZJ27NihDh06VGnr1q2bioqK/Pr/AcyaV6W4JuWKa1IuW6C5Hgpj5nkza25mzQsA6kuDLDxJFcWniy66SDExMVqzZo0OHTrk7ZB8mmEYstvtatmypftTdaAheu2119SlS5czPqCgb9++at0mSQf2LZVhlJ91PKtFstlO/6N45MiR3MaPapYtW6ZLLrlE4eHhatOmjTp06KBly5ZVOWfw4MG66aab1K5dO/Xp00fdunVTcnKy7rrrLiUmJio5OVn9+/fXtm3bJEk2m03Dhg3T0qVL5XRW7M+wefNm2e12jRgxot5zrGuFhYXV9iZs3LjiDsOCggIvRFQ3zJqX2Zl53syam1nzAoD60mALT5JktVrVr18/NWnSRJ9//jm/OH5DQUGBjh07xjI7NHjfffedtm7d+pvn7P55h958e4t6p/5H3S55qsqxpJ6TdeHv3pZUcadT4/BALfvoGRlG9U/0lyxZouHDh6tVq1Z1lwD8Wn5+vjZs2KBhw4a524YOHarVq1erpKTE3fbrDwhO90CI8PDwKn1GjBihw4cP66uvvpJUsYn+hRdeqNjY2LpOo94ZhnHG2/v9+cMUs+ZldmaeN7PmZta8AKC+NMg9nk4VGBioAQMGaNWqVcrKytKQIUN4Yttp5OTkKCgoSM2bN/d2KIBfuHp0K8XHhui5//6k/Xkn5DIMuVwVx2w2q8rLXbokJVp3TUxSi2ZVn3I3depUbd++XUuXLlVmZqYXooevWrFihVwulx588MFqxzIzM8+4serp3hj9ui0mJkYXXnihFi9erKSkJH355Zd69NFH6yZwL4uKilJxcXGVtqKiIklSZGSkN0KqE2bNy+zMPG9mzc2seQFAfWnwhSepYolBamqqPvvsM2VmZmrIkCFq1IhHOp7KbrcrLi6ODeGAGhjQt5n6X9RU324v0srPD+rQYYdsNovatQ5T+u9i1bTJ6ffN+fDDD7Vz507NmDFDqamp9Rw1fNmyZcs0fPjwagWm119/3X2sNkaMGKFHHnlEr776qmJjY9W7d+9ajecrEhMTlZ2drSuvvNLdlp2drYiICMXExHgxstoxa15mZ+Z5M2tuZs0LAOpLg15qd6qQkBClpqbK5XIpMzNTpaWl3g7JZ5SUlKigoIBldsB5sFgs6topUnfclKipD3TWlLuTlXFV6zMWnSTpq6++UkFBge699956jBS+buvWrbLb7br88svVvn37Kn/S09O1fft2/fzzz7W6xoUXXqiYmBitXLlSI0aMMM0SkhEjRmj9+vVauHCh9u7dq1WrVmnevHkaPny4X3+gYta8Kh0rtehYqUVOQyp3Vbw+Ueb/35Nmnjez5mbWvACgvnDH0ynCwsI0aNAgffbZZ/r88881aNAgBQUFeTssr8vJyZHValVcXJy3QwGABmvZsmVKSkpSmzZtqh1LSUlRZGRktU3Ga8pqtWrQoEH64IMPquwj5e9SUlJ01113af78+Xr11VcVGRmpkSNHKiMjw9uh1YpZ86p022sn/7/jB0nrfghVx7hS3X/5Ye8FVQfMPG9mzc2seQFAfaHw9CsREREaOHCgVq1apS+++EIDBgxo8J9k2O12tWjRgiIcAHjR3XfffcZjAQEBmjdv3hmPT5o0qVpbRkbGad80bd68WUOGDFFYWNj5Beqjhg4dqqFDh3o7jDpn1rwk6b8Tc7wdgseYed7MmptZ8wKA+sBSu9OIjo7WgAEDdPDgQX355ZdyVe4I3AA5HA4dPHiQZXYA0AB899132r59u0aOHOntUAAAAGASFJ7OoEWLFurXr59ycnK0cePG0z7qvCHYv3+/DMOg8AQADcB7772nrl27ql27dt4OBQAAACbBUrvf0LJlS6WkpGj9+vUKCgpSjx49TLPR6rmy2+2Kjo5WaGiot0MBAHjYX//6V2+HAAAAAJOh8HQWbdu2lcPh0ObNmxUcHKzk5GRvh1RvnE6ncnNz1alTJ2+HAgAAAAAA/BCFp3PQoUMHlZWVKTs7W0FBQUpMTPR2SPXiwIEDKi8vV8uWLb0dCgAAAAAA8EMUns5R586d5XA49PXXX8tms6l169beDsnj7Ha7wsPDFRER4e1QAAAAAACAH6LwdI4sFot69uwph8OhdevWKSgoSHFxcd4Oy2MMw1BOTo5at27d4Pa1AgAAAAAAdYOn2tWAxWJRSkqK4uLi9MUXX+jgwYPeDslj8vPzdeLECZbZAQAAAACA88YdTzVktVrVr18/ZWVlafXq1Ro8eLCaNGni7bDqnN1uV3BwsJo2bertUACgwbLb7SoqKvJ2GGe0f/9+Sb4fZ02ZNS/pZG77DztUfCzAy9HUrdx8hyRzz5vZcjNrXpJ09OhRb4cA1Ku83CIVFByv1u5yOrXn50IFWPJkDaj+eycqqpFiYtnaxVN8ZV4oPJ2HgIAADRgwQKtWrVJWVpaGDBmixo0bezusOpWTk6O4uDhZrdwUBwD1zeVyKTg4WJ07d/Z2KGdls9n8Is6aMmtekmQLtGjw7Tu9HYZHmHreTJqbLdBiyrwkKTjIKpfL5e0wAI/Lyy3S2Ctny+Fw/sZZa0/barMFaO67N1B88gBfmhcKT+cpKChIAwcO1GeffabMzEwNGTJEoaGh3g6rThw9elRFRUXq1q2bt0MBgAbJarWqtLRUe/fu9ekHPNjtdnXu3Nnn46wps+Ylncxtw8ud1DjUXHc87T/s0ODbd5p63syWm5m/H48ec+rCm75vsB/ivvnmm5o7d65iY2P1yiuvKOBXd1S88MIL+uCDD9StWzfNmDFDy5cv16xZszR9+nR1795dkjRu3Dh1795dkyZN8kYKqIGCguNnKW6cmcPhVEHBcQpPHuBL80LhqRZCQkI0aNAgffrpp8rKylJaWpqCg4O9HVat2e12BQQEKCYmxtuhAECDFhER4dNvMiuXxvh6nDVl1rykk7k1Dg0w3Rv9yqWDZp43s+Vm5u9HVDh06JDWrFmj1NRUd1tJSYmWLVumwMCTb0X79OmjadOmqV27dt4IE4CHNcwSfB0KDQ3VoEGDVFpaqqysLJWVlXk7pFrLyclRTExMlV8GAAAAAFATaWlpeuedd6q0ffzxx2rSpIk6derkbouOjlavXr1Mt30JgAoUnupA48aNlZqaquLiYq1Zs0ZO5/ndzuYLTpw4oUOHDik+Pt7boQAAAADwY2PGjNHOnTu1ZcsWSZLT6dSHH36oMWPGyGKxuM/bsmWL0tPT3eedjmEYmjVrlv7whz8oOzvb3f7jjz/q4Ycf1pVXXqmrrrpKkyZN0qZNmzyXFIAao/BUR5o0aaIBAwbo8OHDWrt2rd9uJJiTkyNJFJ4AAAAA1Eq7du3Uu3dv911Pa9as0YkTJzR06NAaj/Xiiy8qMzNTDz/8sHsv2h9++EH33HOPoqOjddddd+nOO+9Us2bNNGXKFP3www91mguA88daqjrUvHlz9evXT2vWrNGGDRuUkpJSpZLvD3JyctSsWTOFhIR4OxQAAAAAfu6KK67QlClTtHv3br333nsaOXJkjffFfeONN7R48WI99NBD6tWrl7v9lVde0ZAhQzRx4kR3W0pKinbs2KGPP/5Yt912W42u43K5ZBhGjfqcqnLliy+sgKnPWFy1vIbL6fR4nL4yN2acl18/POB0KDzVsfj4ePXt21dffvmlgoKC1LNnT78pPpWXlysvL09dunTxdigAAAAATKBPnz5q06aNnnzySe3evVsPP/xwjfq/9957mj9/viZPnqyUlBR3e2lpqbKzs/XNN99oyZIl1fpVruSoiR07dqi8vLzG/U43jq+oj1j2/FxYq/67du2S08ivo2h+m6/MjZnmpWvXrmc9h8KTB7Ru3VoOh0Nff/21bDab3xRy8vLy5HQ61bJlS2+HAgAAAMAkxowZo3/9619KT09XVFTUOffbvHmzVq5cqejoaCUnJ1c5dvToUblcLo0ZM0YDBw6s1jc0NLTGcXbo0KHWdzzt2LFDHTp0OKe7QDypPmMJsORJWnve/du1a6cOnTz7RHVfmZuGOi8UnjwkMTFRDodDW7dulc1mU1JSkrdDOiu73a6IiAieJgEAJvTmm29q+fLlmjNnjrdDAQA0MGlpadq4caOuuOKKGvU7ceKEJk+erOeff14PPfSQZsyYoUaNGkmSwsPDZbFYVF5eXq0odb6s1rrZAjkgIMDrhadK9RGLtZbjW+vx6+Urc9PQ5oXNxT0oOTlZHTp00KZNm7R7925vh/ObXC6XcnJy2FQcAHzYk08+qfT0dD3zzDPVjn300UdKT0/Xfffd5z533Lhx9R2iz1q1apVuvvlmjRo1ShkZGXrttde8vs9DXTBrXpUOHQ3Q3z9oqtmfRXk7lDpl5nkzc25m/X6sD0FBQZo8ebJatWpVo34XX3yxBg4cqEcffVT79u3TE0884V4KFxISok6dOmnlypU6fPhwtb65ubl1EjuA2uOOJw+yWCzq0aOHHA6H1q9fr6CgIJ8t7Bw+fFgOh4NldgDg46KiorRs2TL96U9/UosWLSRV7NG3YMECNWnSxH3ejTfeKIfD4a0wfcqmTZs0c+ZMZWRkqG/fvtqzZ4+effZZWa1WXX/99d4O77yZNa9KN7wUJ8Oo2CezRcQxL0dTd8w8b2bOzazfj/4iKSlJkydP1qOPPqqnnnpKkyZNkiTddNNNeuCBB3THHXfoyiuvVHx8vPLy8rRy5Ur16NFDEyZM8HLkACQKTx5nsVh04YUXqqysTGvXrtXAgQPdbxR8id1uV0hIiKKjo70dCgDgNyQkJKhRo0aaN2+ebr/9dknSypUrFRYWpgsuuEAHDhyQJC1atOg3l9Y5HA499thjOnjwoKZPn66oqCgVFRVp9uzZWrdunUpLS9W2bVv9z//8j7p3715v+XnCokWL1K9fP1177bWSpAsuuECHDh3SggULlJGRUWdLK+qbWfOq9PgfD0qSXjHZ3SVmnjcz52bW70d/ctFFF+m2227T008/raZNm2r8+PFKTk7WrFmz9P/+3//TvHnzdOzYMTVr1kxdunRRamqqt0MG8Av//envR6xWqy6++GI1bdpUq1ev1pEjR7wdUhWGYchutys+Pt5vnsAHAA3Zddddp+XLlysvL08ul0sLFizQddddd84/w8vLy/X3v/9dBw4c0D/+8Q9FRUXJ4XDo/vvvV35+vqZMmaJZs2apR48emjJlynk9GciXVG7ieapu3bqpqKjIr5dimDWvSnFNyhXXpFy2wPPf6NcXmXnezJybWb8fPSUjI0NLly79zXNmzJihGTNmSJK6d++upUuXVvmgY86cOe47myqlp6dr6dKlGj9+vLutffv2+tvf/qa3335bixYt0quvvqp77rlHiYmJdZcQgFqh8FRPAgIC1L9/f0VERCgrK0tFRUXeDsmtqKhIJSUlLLMDAD/RsWNH9ejRQ/PmzVNWVpaCgoLUv3//c+rrdDo1Y8YM2e12TZ8+3b08LysrS4WFhZoyZYq6dOmidu3aafz48WrevLkyMzM9mY7HFRYWKjw8vEpb5YM0CgoKvBBR3TBrXmZn5nkzc24AziwqqpFstvPbhNpmC1BUVKM6jgiSb80LS+3qUVBQkAYOHKjPPvtMWVlZSktLU1hYmLfDkt1uV2BgoE8uAQQAnN7YsWN13333afPmzZowYcI53e1kGIb+9a9/afPmzXrhhReq7Am1Y8cOFRQU6KqrrqrSp7y83L18z18ZhnHGp7L4852+Zs3L7Mw8b2bODcCZxcRGaO67N6ig4Hi1Yy6nU7t27VK7du1O+5S1qKhGiomNqI8wGxxfmhcKT/UsODhYqampVYpPISEhXo3JbrcrNjbWJx4rCQA4N8nJyerWrZvy8/M1YMCAc+pz8OBB5eTk6Pjx41qxYoWuvvpq9zGn06n4+Hg9/PDD1fr5wocktREVFaXi4uIqbZV3HkdGRnojpDph1rzMzszzZubcAPy2mNiI0xYqnE6nnEa+OnSK4f2mF/jKvLDUzgtCQ0OVmpqqsrIyZWVlefWpQ8eOHdORI0dYZgcAfujuu+/WI488cs53EjRp0kQzZszQ3XffrTlz5uiTTz5xH2vfvr3y8vIUHByshISEKn/8/cETiYmJys7OrtKWnZ2tiIgIxcTEeCmq2jNrXmZn5nkzc24AgPNH4clLGjdurNTUVJWUlGjNmjUqLy/3Shw5OTmyWCyKi4vzyvUBAOevWbNmio2NPefzg4KCFBgYqLS0NN144416+umntWbNGknSkCFDFBMToylTpmjNmjXau3evtm7dqtmzZ2vZsmWeSqFejBgxQuvXr9fChQu1d+9erVq1SvPmzdPw4cP9+tNXs+ZV6VipRcdKLXIaUrmr4vWJMv9frmXmeTNzbmb9fgSA+sBSOy+KiorSwIEDlZmZqbVr16p///71/phZu92u5s2by2az1et1AQDeNWbMGB05ckTTp0/X1KlT1aNHD/3zn//U66+/rueff16FhYWKjIxUp06dNGTIEG+HWyspKSm66667NH/+fL366quKjIzUyJEjlZGR4e3QasWseVW67bWTH4r9IGndD6HqGFeq+y8/7L2g6oCZ583MuZn1+xEA6oPFMAyeCeplubm5Wr16tVq1aqW+ffvW2+aLDodDH374oXr06KGkpKR6uSYA4OyKiooUGRmpwsJCRUT47oab+/btU0JCgs/HWVNmzUs6mdv2uV3UONS/70D5tf2HHOpz0/emnjez5Wbm78ejx5zqOPZb080ZfpvT6dS2bduUnJzs9bv8fCUW4iAOiaV2PiE2NlZ9+/bVnj17tGnTJtVXLTA3N1cul0vx8fH1cj0AAAAAANCwsNTORyQkJMjhcGjjxo2y2Wzq2rWrx69pt9sVFRXl908rAgAAAAAAvonCkw9p3769HA6HsrOzZbPZ1KFDB49dy+l0Kjc316PXAAAAAAAADRuFJx+TnJwsh8OhzZs3y2azqW3bth65zsGDB1VWVsYyOwAAAAAA4DEUnnxQ9+7d5XA49NVXXykoKEgtW7as82vY7XaFhoYqKiqqzscGAAAAAACQ2FzcJ1ksFvXp00ctW7bU2rVrlZeXV6fjG4ahnJwctWzZst6eoAcAAAAAABoeCk8+ymq1qm/fvmrevLnWrFmj/Pz8Ohv7yJEjOn78OMvsAAAAAACAR1F48mEBAQHq37+/IiMjlZWVpcLCwjoZ1263y2azqXnz5nUyHgAAAAAAwOmwx5OPCwwM1MCBA/XZZ58pKytLQ4YMUVhYmCTp6NGjCgsLk9Vas/phTk6O4uLiatwPAFC/7Ha7ioqKvB3GGe3fv1+S78dZU2bNSzqZ2/7DDhUfC/ByNHUrN98hydzzZrbczPz9ePS409shAIDPoPDkB2w2m1JTU/Xpp58qMzNTQ4YM0d69e7Vp0yb16NFDHTt2POexiouLVVhYqM6dO3swYgBAbbhcLgUHB/vFz2pboMUv4qwpm81myrykitwG377T22F4hNnnzYy5mfn7MTg4WC6Xy9thAIDXUXjyE40aNdKgQYO0cuVKLVu2TCdOnJBU8clXTQpPdrtdVqtVsbGxngoVAFBLVqtVpaWl2rt3ryIiIrwdzhnZ7XZ17txZG17upMah5rlbYf9hhwbfvtPnv/7no3LOyM2/mDU3s+YlSUVFRUpISGCFAQCIwpNfCQsLU0xMjPbs2eNuO3TokBwOh2w22zmNkZOTo5iYGAUFBXkqTABAHYmIiPDpN2OVS34ahwaYqvBUueTH17/+56NyzsjNv5g1N7PmBQCoisKTH9mwYUOVolOlvLw8JSQknLV/aWmpDh06pN69e3siPAAAAAAwvbzcIhUUHK/W7nI6tefnQgVY8mQNqP6BTFRUI8XEUmRFw0PhyU8YhqHDhw9LkiwWiwzDcB+z2+1VCk9Ol6G8Aim/xFDRMcllSI1skutEkQxrI8XHx9d3+AAAAADg9/JyizT2ytlyOH5rA/m1p2212QI0990bKD6hwaHw5CcsFosuu+wyHThwQLt27dK+ffvcmxXu27dPhmGo3Cl9u8/QTwcq+rgM6ZT6lCxqIkt8utb9ZFH3Noaiwy1eyAQAAACAGb355puaO3eu+7XNZlNcXJwuvfRSjRkzRgGnuQvI3xQUHD9L0enMHA6nCgqOU3hCg0PhyY9YLBbFxMQoJiZGZWVl2rt3r7Zt26aSkhLZDzv09c9BKnNWFJxOx5BVskgHj0qffmsoKdZQ99YWWSwUoAAAAADUjWnTpkmqeKL2l19+qdmzZ8tut+uOO+7wcmQAvIHCk58ZPHiwMjMzq7RFREQqIekF/XHCFHXuPeicxjEM6Ympj2rB7MfkcrkoPgEAAACoE7169XL/feDAgSosLNTy5cs1ceJEhYSEeDEyAN5A4ckP9erVS//5z38kSUePlWvFhgP6ZOGLeuKudP3j1a+UcEGXcxqn8saob/cZ6ppA4QkAAABA3Wvbtq02btyoEydOKCQkRE6nU2+//baWL1+uQ4cOqVmzZho2bJiuvvrqKsvxPv74Y3300Uey2+0KDQ1V69atNXr0aF188cXuc5YsWaIPP/xQOTk5ioqKUs+ePTV+/HhFR0d7I1UAp0HhyQ9FRETo4osvlmEYWrnVUEqq1DVlqG5Mj9GqxXP05/+bUaPxvs+RWkUbigqj+AQAAACgbv30009q0qSJoqKiJEnPPPOMVq5cqT/+8Y9KTEzUzp079dZbb+ngwYO6/fbbJUlLly7Vs88+qz/96U/q1KmTCgsL9cUXXygzM9NdePrvf/+rFStW6IorrlBCQoLy8/P1zjvv6NFHH9WsWbNMsacUYAYUnvzYwSKp8FjFnUvBIaEKsoVUWTL3xYq39eHcJ2Xf/b1CGoUrJXW0rvvLNIVHNKkyzrpV7+vuPz2gA7l71KNHD02bNk2/+93v6jkbAMDZPPnkk1qxYoWkin3/wsLC1L17d11//fVq06aNl6PzfYeOBujlT6PUIsKpG9IKvB1OnVi1apXeeust7d+/X5GRkbr00kv15z//2RRvtsjNP5k1N7Pm5SkOh0Mul0uFhYVasmSJNm3apDvvvFOStHfvXn3yySe6+eabNWbMGEnSJZdcorCwMP33v//VFVdcoVatWmndunVq166drr/+eve4Q4cOVXFxsSQpLy9P7777rmbOnKnExET3ObGxsXrwwQf1ww8/qGPHjjWK2+VyVXl6+GnPcZ7fxuKn9nfWcoxzUXmN+rgWcTTsOM7l5yCFJz9kGIbKy8v13V6XHGWGigsPa8nbT6u8rFRpI/9HkvTuq0/o7Zce0rAr/qJrJk7VgZyf9PZLD2vn1i/1xMtfyBbSyD3e80/cqGtufkwjB7bVs8/8W+np6dq8ebM6d+7srRQBAGfQsWNHTZ48WU6nUwcOHNBrr72m++67Ty+88IKaNGly9gEaqBteipNhVHw40yLimJejqRubNm3SzJkzlZGRob59+2rPnj169tlnZbVaq7xR80fk5p/MmptZ8/Kk0aNHu/8eGhqqBx98UAMHDpQkffPNN5KkAQMGVOmTmpqq2bNna8uWLWr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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Count number of triangles in the directed network\n", "plot_network_adj(G_dir)\n", "A = nx.to_scipy_sparse_array(G_dir)\n", "path_3 = A @ A @ A\n", "\n", "# For undirected newtorks there are two directions, for directed networks one\n", "display(list(zip(G_dir.nodes(), path_3.diagonal() )))\n", "\n", "# Number of triangles = trace / 3 (each triangle count in 3 nodes)\n", "print(path_3.trace()/3)" ] }, { "cell_type": "code", "execution_count": 19, "id": "250588dc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Alice', 1.0),\n", " ('Bob', 1.0),\n", " ('John', 1.0),\n", " ('Amy', 0.0),\n", " ('Mike', 0.0),\n", " ('Rose', 0.0)]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Count number of triangles in the undirected network\n", "plot_network_adj(G_undir)\n", "A = nx.to_scipy_sparse_array(G_undir)\n", "path_3 = A @ A @ A\n", "\n", "\n", "# For undirected newtorks there are two directions\n", "display(list(zip(G_undir.nodes(), path_3.diagonal() / 2)))\n", "\n", "# Number of triangles = trace / 6 (each triangle count in 3 nodes, each triangle counted in two directions)\n", "print(path_3.trace()/3/2)" ] }, { "cell_type": "code", "execution_count": 20, "id": "08d7b389", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([5, 5, 5, 5, 5, 5])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Number of unique people reached in 3 steps (example)\n", "number_people = A@A@A + A@A\n", "number_people.setdiag(0) # Remove yourself (in the diagonal)\n", "number_people = number_people>0 #Don't count people many times\n", "\n", "number_people.sum(1)" ] }, { "cell_type": "code", "execution_count": 21, "id": "eaa7e22c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Alice': 0.3333333333333333, 'Bob': 1.0, 'John': 0.16666666666666666, 'Amy': 0, 'Mike': 0, 'Rose': 0}\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/hx/nz98f65j615c4ygz7xt694700000gp/T/ipykernel_17994/980830522.py:11: RuntimeWarning: invalid value encountered in true_divide\n", " list(zip(G_undir.nodes(), path_3, potential_links, path_3/potential_links))\n" ] }, { "data": { "text/plain": [ "[('Alice', 1.0, 3.0, 0.3333333333333333),\n", " ('Bob', 1.0, 1.0, 1.0),\n", " ('John', 1.0, 6.0, 0.16666666666666666),\n", " ('Amy', 0.0, 0.0, nan),\n", " ('Mike', 0.0, 1.0, 0.0),\n", " ('Rose', 0.0, 1.0, 0.0)]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Local clustering = number of triangles / number of potential links\n", "print(nx.clustering(G_undir)) #standard nx function\n", "\n", "# Number of triangles\n", "path_3 = (A@A@A).diagonal()/2 # divided by two because there are two directions\n", "\n", "# Number of potential links between neighbors\n", "degree = A.sum(1)\n", "potential_links = (degree*(degree-1)/2)\n", "\n", "list(zip(G_undir.nodes(), path_3, potential_links, path_3/potential_links))" ] }, { "cell_type": "markdown", "id": "86fbb95c", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "id": "75672afb", "metadata": {}, "source": [ "# Exercise 4 Calculate node centrality\n", "- Degree \n", "- Closeness\n", "- Harmonic\n", "- Betweeness \n", "- Eigenvector\n", "- Pagerank\n", "- Katz\n", "- HITS\n", "\n", "\n", "Display using the function `plot_network_distribution`, so the centrality gets displayed as color." ] }, { "cell_type": "code", "execution_count": 22, "id": "f2806068", "metadata": {}, "outputs": [], "source": [ "G = nx.florentine_families_graph()" ] }, { "cell_type": "code", "execution_count": 23, "id": "541bfaf6", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Degree centrality\n", "cent = nx.degree_centrality(G) \n", "cent = [cent[node] for node in G.nodes()]\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 24, "id": "a9c21674", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Betweeness centrality\n", "cent = nx.betweenness_centrality(G) \n", "cent = [cent[node] for node in G.nodes()]\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 25, "id": "5c3e3686", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Closeness centrality\n", "cent = nx.closeness_centrality(G) \n", "cent = [cent[node] for node in G.nodes()]\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 26, "id": "44a5a75d", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Harmonic centrality\n", "cent = nx.harmonic_centrality(G) \n", "cent = [cent[node]/15 for node in G.nodes()]\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 27, "id": "f7646a57", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Eigenvector centrality\n", "cent = nx.eigenvector_centrality(G) \n", "cent = [cent[node] for node in G.nodes()]\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 28, "id": "601aff6f", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pagerank centrality\n", "cent = nx.pagerank(G) \n", "cent = [cent[node] for node in G.nodes()]\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "markdown", "id": "451bea61", "metadata": {}, "source": [ "# Exercise 5\n", "Using the Twitter dataset\n", "- If you would have to spread some super important news (it always gets shared) as quickly as possible, which nodes would you choose?\n", "- If you would want to make the network disconnected, which nodes would you remove?\n", "- If you would want to understand which node is most respected (measured by mentions) in the network, which nodes would you choose?\n", "- If you would have to spread some fake news (it gets shared sometimes but not alwasy), which nodes would you choose?\n", "\n", "Calculate the top 10 nodes for each measure" ] }, { "cell_type": "code", "execution_count": 29, "id": "dcbf609e", "metadata": {}, "outputs": [], "source": [ "# Read edgelist\n", "df = pd.read_csv(f\"{path_data}/ic2s2_netsci_3.tsv\", sep=\"\\t\")\n", "\n", "# Convert to networkx\n", "Gt = nx.from_pandas_edgelist(df)\n", "Gt.remove_edges_from(nx.selfloop_edges(Gt)) #remove self-edges\n" ] }, { "cell_type": "code", "execution_count": 30, "id": "c8599c54", "metadata": {}, "outputs": [], "source": [ "def extract_top_10(d_centrality):\n", " return pd.DataFrame.from_dict(d_centrality, orient=\"index\").sort_values(by=0, ascending=False).head(10)" ] }, { "cell_type": "code", "execution_count": 31, "id": "6639ac1c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/garci061/miniforge3/envs/networks/lib/python3.10/site-packages/networkx/algorithms/link_analysis/hits_alg.py:78: FutureWarning: adjacency_matrix will return a scipy.sparse array instead of a matrix in Networkx 3.0.\n", " A = nx.adjacency_matrix(G, nodelist=list(G), dtype=float)\n" ] }, { "data": { "text/html": [ "
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closenessbetweenessauthoritieseigenvalue
manlius840.5542470.0302090.0058510.137013
svscarpino0.5445300.0218860.0054040.126543
tiagopeixoto0.5437680.0197630.0052690.123383
alexvespi0.5416810.0220930.0049630.116209
HirokiSayama0.540362NaN0.0053880.126154
barabasi0.5362570.022566NaNNaN
tinaeliassi0.532214NaNNaNNaN
fede7j0.531485NaN0.0050460.118155
lordgrilo0.5313030.0181960.0050730.118777
cosnet_bifi0.530396NaN0.0049770.116525
foucaultwellesNaN0.024194NaNNaN
ShugarsNaN0.022212NaNNaN
ryanjgallagNaN0.020435NaNNaN
dashunwangNaN0.018612NaNNaN
aliceschwarzeNaNNaN0.0045030.105429
PiratePeelNaNNaN0.0044390.103933
\n", "
" ], "text/plain": [ " closeness betweeness authorities eigenvalue\n", "manlius84 0.554247 0.030209 0.005851 0.137013\n", "svscarpino 0.544530 0.021886 0.005404 0.126543\n", "tiagopeixoto 0.543768 0.019763 0.005269 0.123383\n", "alexvespi 0.541681 0.022093 0.004963 0.116209\n", "HirokiSayama 0.540362 NaN 0.005388 0.126154\n", "barabasi 0.536257 0.022566 NaN NaN\n", "tinaeliassi 0.532214 NaN NaN NaN\n", "fede7j 0.531485 NaN 0.005046 0.118155\n", "lordgrilo 0.531303 0.018196 0.005073 0.118777\n", "cosnet_bifi 0.530396 NaN 0.004977 0.116525\n", "foucaultwelles NaN 0.024194 NaN NaN\n", "Shugars NaN 0.022212 NaN NaN\n", "ryanjgallag NaN 0.020435 NaN NaN\n", "dashunwang NaN 0.018612 NaN NaN\n", "aliceschwarze NaN NaN 0.004503 0.105429\n", "PiratePeel NaN NaN 0.004439 0.103933" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cc = extract_top_10(nx.closeness_centrality(Gt)) #slow (all distances)\n", "bc = extract_top_10(nx.betweenness_centrality(Gt)) #slow (all shortest paths)\n", "ac = extract_top_10(nx.hits(Gt)[1]) #in theory for directed networks \n", "ec = extract_top_10(nx.eigenvector_centrality(Gt))\n", "\n", "df = pd.concat([cc,bc,ac,ec], axis=1)\n", "df.columns = [\"closeness\",\"betweeness\",\"authorities\",\"eigenvalue\"]\n", "df" ] }, { "cell_type": "markdown", "id": "ed90fe8b", "metadata": {}, "source": [ "# Exercise 6: Eigenvector (even more advanced)\n", "\n", "Let's calculate eigenvector and pagerank centrality using the power method\n", "\n" ] }, { "cell_type": "markdown", "id": "d8bf7528", "metadata": {}, "source": [ "## 6.1 Eigenvector\n", "\n", "For eigenvector centrality, each node has an influence of 1, that it is distributed to the neighbors. This process is done many times, until it converges." ] }, { "cell_type": "code", "execution_count": 32, "id": "7e83dbb5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['Alice', 'Bob', 'John', 'Amy', 'Mike', 'Rose']\n", "[0.48666426 0.32444284 0.64888568 0.16222142 0.32444284 0.32444284]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/hx/nz98f65j615c4ygz7xt694700000gp/T/ipykernel_17994/2527873051.py:11: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n", " cb = plt.colorbar(mapper, ax = a0, location=\"bottom\", shrink=0.8, pad = 0.02, label = \"Value\")\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "['Alice', 'Bob', 'John', 'Amy', 'Mike', 'Rose']\n", "[0.48365083 0.38692067 0.60456354 0.19346033 0.31437304 0.33855558]\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "['Alice', 'Bob', 'John', 'Amy', 'Mike', 'Rose']\n", "[0.483843 0.40141049 0.58777964 0.20428927 0.322562 0.33689809]\n" ] }, { "data": { "image/png": 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JFi1bHzxFBSewVFcRGRvvcQEjAeJe+fn56PV64uPjz7+wEB6murqauLg4d5fRJh71jlVVUd7iYGlE06iqqoSCE0TFdP5/hASI58rLyyM2Nhaj0ejuUoRoFU3TvPYGSnBjuKSlpbF+/fpGbSHBwaSmXsAD997D2DEtn878+RdfYuFLL3No/14CAoMICDz7bLdtJQHifaqrqykqKpKp8YVXstlsOBwOCZe2GDZsGIsWLQKg8MRxjh7NZ/mK95h16+18/u+P6Ne3b6u3WXTyOP5Jvds0PCYB4lvy8/PR6XQkJCS4uxQhWq2mpgbwzhsowc3hEhISwtixY3HY7eQdOsCg1BQmjh/H8DHj+NdHn/DHPzza6m2qqkpNVSUBQcHNvi4B0nXk5eURExODyWRydylCtJo33+MCHnLOpbqqEkVR0DQNf39//Pz8GvU8Vn7xJa+/8SYHcg4SEBDApVMv5rFHHiI0tPH0HF+tXsPT85/l6LHjDBo0iDlz5jB8+HAJkC7IYrFQWFjIiBEj3F2KEG1SXV2NoiiYzWZ3l9Imbn331DQNu91OVWUFNpuNktJS/vn2O9hsNq795TUAvPTyK/z9hYX8+qYbeeShBzlyJI8FCxfy3fff8+8P32904B+d8zgPP3g/sXFxvPTyK1x33XXMnz+fvn37SoB0Mfn5+QAkJia6uRIh2sabb6AEN4dLRkZGs1fxzH749/TpnUxZWRkvLXqFX113LfOefML5ev9+fbnuxv/hw48+4dc33eBsn/fkE1w+YzoAUy6+hEmTJrFt2zYeeuihjt8Z4VHy8vKIjo7Gz8/P3aUI0SbefAMluDlchg8fzmuvvUbB8aPU2myUlZWxLiOT5xa8QE11DSNGDMdms3HF5TMarTd61EgSExPYkpXlDBe9Xk/6ZZc6l+nTpw/Tpk1j5cqVnbpPwv2sVisnT55k2LBh7i5FiDbz5hsowc3hEhwczMiRIzlxNBfLqZNXkyZOoLq6mlcXv8HTSfMAiI6KbrJudFQ05eXlzq/Dw8KcvSBFUVAUhZiYGEpKzv24W+F7jh49iqZpMiQmvFp1dTVhYWHuLqPNPGIwz2wOqJs37JQLUgZgt9vJOzVuXlBY0GSdgoICwsPDnV+XV1Q479g3nRoKOX78uFc+HlS0T15eHlFRUV49pCC6Nk3TvL7n4hnhEhDQaN6w77K/R6/Xc9MNv8JkMvHpZ583Wn7bt9vJP3qUUSNPXwlks9nYvCULh6pSUFjMwYMH+eKLL5gyZUqn7Ydwv9raWk6cOEG3bt3cXYoQbWa1Wr36Bkpw87BYeXk5W7ZsQdM0Co4fw1JTzepvvuHfn63khuuvIzoqirvu/C0LX3oZo9HIJRdfRG5eHgteeJG+ffrwy6uvcm7LaDQy+w9/ZPbDv6esspp3332XyspKbrrpJiwWi9dezida5+jRo6iqKkNiwqt5+w2U4OZwyc7O5sILL3R+7efnR88ePZj90IPccfttAPz+/vuIjorm7aXLeP+DDwkLD2Na+i945PcPNBr2CA0NZc5js5n/9wWcOHGS4cOHM2fOHKqqqvj8889JSEggOTmZ2NhYj5vcUrhOXl4eERERBAYGursUIdrM22+gBFC0RnPau1fhiWNUVVY0GiJrDYPBSEKPJJQG14VbrVYOHz5MTk4O5eXlBAYGkpycTFJSklf/x4mm7HY7n376KampqQwYMMDd5QjRZvv372fHjh1cc801XvvHsEfdQRgZE4vdbsdqqWl1wOj1emITuzcKFqjrDfXr14++fftSVFRETk4Ou3fvZteuXY16M956o5I47dixYzgcDjnfIrxe/Q2U3hos4GHhoig6YhO6UVJ4koqy0pauhJ/ZTFRswjnvtlcUhaioKKKiohg6dKizN5OZmUlAQAC9evWiV69eXj3G2dXl5eURFhZGUJDrZ8UWojN5+w2U4GHhAnUhUP9kydLiIizVVc55xxouo2kaRpOJ0PBIAoKCW5XwJpOJvn370qdPH4qLi8nJyWHfvn3s3r2b+Ph4kpOTiYuLk96MF3E4HBw7doz+/fu7uxQh2s2bn+NSz+PCpZ6f2Z/YhG7Y7XZslhpsViuq6kBRdBhNJvzMZoym9k3toSgKkZGRREZGMnToUI4cOUJOTg4bNmzA39/f2ZuRk8Oe78SJE9jtdrp37+7uUoRot5qaGiIjI91dRrt4bLjUMxgMGIKCzzqFvqsYjUZ69+5N7969nb2Zn376qVFvJj4+XnozHiovL4+QkBBCQkLcXYoQ7eILN1CCF4SLO0RERBAREcGQIUPIzc0lJyeHjRs3Yjabnb0ZGdf3HA6Hg/z8fPr06ePuUoRoN4vFgqqqEi6+zGg0kpycTHJyMiUlJeTk5PDzzz+zZ88eYmNjSU5OJiEhAb1e7+5Su7SCggJqa2vlKjHhE3zhBkqQcGmx8PBwRowY0ag3s3nzZvz8/Jy9meDgjh26E83Ly8tzPq9HCG/nCzdQgoRLqxkMBmeYlJWVkZOTw4EDB9i7dy8xMTEkJyeTmJgovZlOoqoq+fn5JCUlefU9AULUq66uRqfTef2ziCRc2iE0NJRhw4YxaNAg8vPzOXDgAFu2bKmbxqZnT5KTk+UEcwcrLCzEarXKkJjwGfUn8739jyUJFxcwGAz07NmTnj17Ul5eTk5ODocOHeKnn34iOjqa5ORkunXrJr2ZDpCXl0dAQAARERHuLkUIl/CFGyhBwsXlQkJCGDp0qLM3k5OTQ1ZWFtnZ2c7eTGhoqLvL9AmappGXl0f37t29/q88IepVV1f7xNWoEi4dRK/X06NHD3r06EFFRYWzN7N//36ioqKcvZlzTVkjzq2oqAiLxSJDYsKn1NTU+MRDDuWdrRMEBwczZMgQBg4cyNGjR8nJyWHr1q2NejNypVPr5eXlYTabiYqKcncpQriEqqrOSSu9nYRLJ9Lr9XTv3p3u3btTWVnp7M38/PPPREREkJycTI8ePaQ30wL1Q2KJiYkyJCa8mrUWck5CeTVUWVSsQcM4aY0mwQoBXnzBmEc9z6UrUlXV2Zs5fvy48+KA5ORkwsPD3V2exyouLmbNmjVMnjyZ2NhYd5cjRKsVVcDuPDhcAIoCDvX0azpFQ9MUEiMhtRvEhrmtzDaTcPEgVVVVHDx4kIMHD1JTU0N4eLizN2M0Gt1dnkfZuXMnOTk5XH755TLfm/A6+/Jh6wFAg/O9AesUSO0OQ5PqQshbyG+lBwkMDGTgwIFMnz6d8ePHYzab+e6771i5ciXbtm2juLgY+Vug8ZCYBIvwJGlpaSiKwrhx4866zLTLf8WAbgqv/+1mNOA3aQqf/PNJAPZkr+M3aQp7stc5l1c1+DEXtud0bO2uJoP7Hkin05GYmEhiYiLV1dXO3szBgwcJCwtz9mZMJpO7S3WLsrIyKisrGTZsmLtLEaIJnU7Hli1byM3NbfIIiJz8atau+bxR29yXNxMRfe4rHlUN9uZDRBAke8kosPzZ5+ECAgJITU1l2rRpTJw4kYCAALKzs1m5ciVbt26lsLCwy/Vm8vLyMBqNPnG5pvA9w4cPx2w28+GHHzZ5bfHSzzCZ/AmPSnS29UkdS0TM+S+nVzX4/lCrnwDvNhIuXkKn0xEfH8+ECROYMWMGKSkpnDx5krVr1/L111+zf/9+bDabu8vsFHl5eTIbtfBYgYGBTJ8+nQ8++KBRe0UNrP7ifUalXYtef3rQqOGw2JlqbVbmP3Ipd8+M4NBP31FthZNl8MYbb5Camoqfnx89evTgySefxG63d+RutZqEixfy9/fnggsuYPr06UyaNIng4GC+//57Vq5cSVZWFgUFBT7bmykvL6e8vFxunBQe7frrrycrK4sjR444277dV87OrasYe/ENLdqGw25n0VO/4uDebcx+bjVJ/YajavC/T/4fd9xxB1OnTmXlypXce++9PPPMM9x5550dtTttIudcvJiiKMTFxREXF4fFYnGelzl8+DAhISH06tWLpKQkr59dtaG8vDwMBoNcfiw82vTp0wkKCuLDDz/k4YcfBmDlp58QHBpNv0ETzru+pqksfvpm9mb/l9l/X02v/iMAqK4sY+lrf+HOO+9k4cKFAFx66aVERkZy++2389BDD5GamtpxO9YK0nPxEWazmZSUFNLT05k8eTKhoaH88MMPrFy5ki1btnDy5Emf6M3k5eURHx8vN5oKj+bv78/MmTOdQ2OqqrLuPysYc9GvWnTT7wevPcbmNcu55Jr7SR4wytn+84+bsVqqufzyy7Hb7c6PmTNnArB69eqO2aE2kN9QH6MoCrGxscTGxmKxWDh06BAHDx5k3bp1BAcHO3szZrPZ3aW2WmVlJaWlpaSkpLi7FCGAukdsWywWLBYLNTU11NTUoKoq27ZtY+DAgaxYsYLFixej1+vZue0brrjlry3a7rEjexkwNI2vP1pI2ow7nCf8K8uLAJg2bVqz6x09etQ1O+YCEi4+zGw2M2DAAPr3709BQQE5OTns2rWLXbt2kZiYSHJyMjExMV4zfUpeXh56vZ64uDh3lyJ8mKZp1NbWOkOjPjia+/zMi2gqKyvR6XSUlZUxduxYgoKC2LdvH+Hh4cQmJNGr//AW1XDLI4u5YPhF/GHWAN5+4W5+/7fPAAgICgNg+fLl9OvXr8l6njRcLOHSBSiKQkxMDDExMVitVg4fPkxOTg7r168nMDCQ5ORkkpKSPH6yvLy8POLi4mS2AtEmmqZhtVobBUTDoGj4tcPhaLSuwWDAbDY7P0JDQzGbzfj7+zdqX7RoEQBTp04F4Oqrr2bjxo0EBQXxy+tuRK9TGk3zcjahEXGEhMdw7W//jyULfkfW2vcZc9H19Bs4FqPJRH5+PjfeeKNz+Z07d/LQQw/xxBNPNLm3xl0kXLoYPz8/+vXrR9++fSkqKuLAgQPs3r2bXbt2kZCQQO/evYmNjfW43kx1dTXFxcWMGTPG3aUID9NwaOpcvQyLxdLkvKPJZHKGRGBgIJGRkY0Co/7ztv5Bc/311zNjxgx0Oh0vLHyRH0poUbjUS5t5B5n/WcKyl+4ndeQlhIRG8sgjjzJ37lzKy8tJS0sjPz+fuXPnoigKQ4YMaVOdHUHCpYtSFIWoqCiioqIYNmyYszeTkZFBQECAszcTEBDg7lKBul5L/b0+omuoH5o6W1jUf37m0JSiKI16E+Hh4U3Cov6jo++VuuSSSwgLC6NHjx6kXpBC7SHYdeS8qzkpisLND73Kk3eOZMXLv+f/nn+b//nrPLolxvPyyy8zf/58wsPDmTp1Kn/729886kGEMnGlcNI0jeLiYnJycjhy5AiqqhIfH09ycjJxcXGdMo+XraiE8h17qS0pA50Oc1w0IUMGkJG1BYPBwMSJEzu8BtFxGg5NnRkSZ/YyzrwpUK/XNxsQ9V/X/+vn5+dxPe96tQ5YlV03vb7aindeBTCbYMYI8PeSWZ8kXESzbDYbR44cIScnh9LSUgICAkhKSiI5OdnlvZmaI0c5/PoK8pZ8jPVEITp/M4peVzdjrN2OaqtFjYsk/rfXM/TBWzEEe/8jYH2NqqrnHZKq//psQ1NnBseZIWI0Gj02NFqjxgZffQ+VlpYFjE4BkxF+MRRCPPu0aCMSLuKcNE2jpKTE2ZtxOBzExcWRnJxMfHx8u3ozjuoa9sx5jsOvvovOZEC1nHv6Gp1/3eXTqQsep/tt1/rEG42nO9tVU2cGh9VqbbSeoij4+fmdt5fRGUNTnshmh80/wZGCuvBwNPMurFPq5hGLDYOJKd7TY6kn4SJarLa21tmbKSkpwd/f39mbCQwMbNW2Knb9xNYZv8VWVIJqsZ5/hQZ0fibCxgxl5MeLMIYGt2pdUfcHg81ma9FVU2cbmjpfT8PPz08eh9AC1VbYf6xuxmNrg0Nt0EPfeBiQAMFe1FtpSMJFtEl9b+bw4cPY7XZnbyYhIeG8byrlO/eyafINOKotoLbi0pkGdH4mApK7My7jPYxhIW3ahq+pH5pqyVVT6hnH3Wg0njMsGl41JT3GjmF31J2TMejBoPOuB4M1R8JFtIvdbic3N5ecnByKioowm83O3kxQUNNzI7aiEtZdcBm1pRVtDpZ69T2YsWve8ek3PLvd3qJexplDU0CLehlms1mm0xEuJ+EiXKa0tNTZm6mtrSUmJobevXs3mh5/+/X3c/KL/6JaXfN4AJ2fidSFT9Djtmtdsr3O0nBo6ny9jNra2kbr6nS6FvUyZGhKuJOEi3A5u91OXl4eOTk5FBYW4ufnx6pVq3jttdf4IiAVzVZ73m2sUct4QT3Bm/pexCrnvoFNF2DmkryNHnEVmaqqWK3W896bca6hqfMFhwxNCW8gfWHhcgaDgaSkJJKSkigrK3Nezgx1lxa7nAb5766k550te05GW9QPTZ3vqimLxdJk3YZXTYWEhBATE9PsVVMyNCV8ifw0iw4VGhrKsGHD6NOjZ11Da+4cayG1xsKhl5e2OlwaTlB4vvMZZxuaqv+IjIw86/kMGZoSXZGEi+gU1mMFjb7OVqtYoRZzCCt6YLgSyM26KKLPGALbq9XwrOMYB7AShp6ZujCu1kUAcEKr5TbHQf6giydjVyY7g4MxGAxcffXVPP300xgMhvP2MpqboLBhOISGhjbbyzCZTDI0JcQ5SLiITmE9fjpc/quW83f1OBOVYK5VwilH5V21kEccuSzU9yBMOf1juUg9yf/oIvkfIlmllfGWWkg3TIzWnT6/8g/1BJcYwvjjrFnsqSjin//8J0VFRY1mjfXz83MGQ3BwMNHR0c2ez5ChKSFcQ36TRKewV1QBoGoab6kFDFUCeEx/ehLKCxQzdzkO84lawi36aGf7b3RRTNOFATBA8yfLcYAdWjWjOR0uo5RAbvNPJDS5P5f/YiL79+9n7969TJ06VYamhHAT+Y0TnUOruzIqHxslOEhTGt9ZH6+YGICZnVp1o/ZU5fTtyWZFRzh6qmh8ldUAxR+9Xk/vXr1ITU2lb9++2Gw2IiIiCAgIkGARwg3kt050ivp5wSpOBUN4M53mcMXQJDjMZ/yIKsCZlwT4oaA5VIzhdXfq63S6Jpf5CiE6l4SLcLlt27bx6KOPNpqXyhgdiQmF4FM/ciU0vSS5RLMTQtsmMVRrLIQMSWlbwUIIl5NwES73448/8uyzz3Lw4EFnW4FWSyQGEjERjp51WkWjdY5rNvZSwwVK22bp84uLxhQR1p6yhRAuJCf0hctdeumlBAYGcu+99zJ79mz27dvHvz7/jOvie6ErqDtJ/4J6gmccx7hYCaEcB++qRQSh5ypdeKu/n2I00P2WX3bAnggh2krCRbhcQkICn376KXPmzOGKK64gNDSUBx54gLsGX8ie3z3BVEso/uj4UC3mL9pRAtAxQglgli6KcKX1P5Kaw0GP317fAXsihGgrmVtMdBrVbidz5JVU7j0ADteccNeZ/eh+67UMXDjXJdsTQriGhIvoVBU/7idz1JVotS6YY0ynw5wQQ9qP/0Ef4KVPVBLCR8kJfdGpglP7MuTNp+ueiNQeOh36ADOjP39DgkUIDyThIjpdxbC+WO64qi5g9K3/EdT5mTCGhzBu/QqCU/t2QIVCiPaScBGd6tChQ+zcuZP+v72BSd9+StCA3uj8/Vq2sl6HYjQSO/Ni0nZ/RcjgAR1brBCizeSci+g0x48fJzMzk6SkJEaOHImiKKh2O8c/+oqc59+i7Lsf0QeYUW21znMyOrMfKAqqzUbszItJfuBmIiaMdPOeCCHOR8JFdIri4mLWrVtHdHQ048ePb3a+r5rcY5Rt30X5jj3YiktRDAbMcVGEDh9I6IiBGMNC3FC5EKItJFxEh6uoqGDt2rUEBgaSlpYm09oL0QXIORfRoSwWC5mZmZhMJiZOnCjBIkQXIeEiOkxtbS2ZmZnY7XYmTZqEn18LT9wLIbyehIvoEKqqsnnzZioqKpg4cSKBgYHuLkkI0YkkXITLaZrGtm3bOHnyJOPHjyc8vPWTUQohvJuEi3C5H374gcOHDzN69GhiY2PdXY4Qwg0kXIRL1T+/fsiQIfTo0cPd5Qgh3ETCRbhMbm4u2dnZ9O/fn/79+7u7HCGEG0m4CJc4efIkWVlZ9OjRg8GDB7u7HCGEm0m4iHYrLS1l48aNREdHM2rUKBRFcXdJQgg3k3AR7VJVVUVmZiaBgYGMGzcOvb6dU+kLIXyChItoM6vVSmZmJjqdjokTJ2I0Gt1dkhDCQ0i4iDax2+1s2LABq9XKpEmT8PeXB3YJIU6TcBGtpqoqW7ZsobS0lAkTJhAcHOzukoQQHkbCRbSKpml89913HDt2jHHjxhEZGenukoQQHkjCRbTK7t27ycnJYeTIkcTHx7u7HCGEh5JwES2Wk5PDjz/+yMCBA+nVq5e7yxFCeDAJF9EiR48eZfv27fTu3ZuUlBR3lyOE8HASLuK8CgsL2bx5MwkJCQwbNkxukhRCnJeEizin8vJyNmzYQHh4OGPHjkWnkx8ZIcT5yTuFOKuamhoyMjIwm81MmDBB7r4XQrSYhItols1mIzMzE03TmDRpEiaTyd0lCSG8iISLaMLhcLBp0yaqqqqYNGkSAQEB7i5JCOFlJFxEI5qmsXXrVgoLC5kwYQKhoaHuLkkI4YUkXISTpml8//335ObmMnbsWKKjo91dkhDCS0m4CKd9+/axf/9+hg8fTrdu3dxdjhDCi0m4CAAOHz7Mzp07SUlJoU+fPu4uRwjh5SRcBMePH2fr1q306tWLgQMHurscIYQPkHDp4kpKSti0aRNxcXGMGDFC7r4XQriEhEsXVllZSUZGBiEhIVx44YVy970QwmXk3aSLslgsZGRkYDQamTBhAgaDwd0lCSF8iIRLF1RbW8uGDRuw2+1MmjQJs9ns7pKEED5GwqWLUVWVzZs3U15ezsSJEwkKCnJ3SUIIHyTh0oVomsa3337LyZMnGT9+POHh4e4uSQjhoyRcupBdu3Zx6NAhRo0aRWxsrLvLEUL4MAmXLmL//v3s2bOHIUOG0LNnT3eXI4TwcRIuXUBeXh7Z2dn069eP/v37u7scIUQXIOHi4woKCtiyZQs9evRgyJAh7i5HCNFFSLj4sLKyMjZs2EBUVBSjRo2Su++FEJ1GwsVHVVdXk5GRQWBgIOPHj5dHFAshOpWEiw+yWq1kZGSg0+mYOHEiRqPR3SUJIboYCRcfY7fb2bhxIxaLhYkTJ+Lv7+/ukoQQXZCEiw9RVZWsrCxKSkqYOHEiISEh7i5JCNFFSbj4CE3TyM7O5ujRo1x44YVERka6uyQhRBcm4eIj9uzZw4EDBxgxYgQJCQnuLkcI0cVJuPiAnJwcdu3axcCBA0lOTnZ3OUIIIeHi7Y4ePcr27dvp3bs3KSkp7i5HCCEACRevVlRUxObNm0lISGDYsGFyk6QQwmNIuHipiooKMjMzCQ8PZ8yYMfKIYiGER5F3JC9UU1NDRkYGZrOZ8ePHyyOKhRAeR8LFy9TW1pKZmYmqqkyaNAk/Pz93lySEEE1IuHgRh8PBxo0bqaqqYtKkSQQEBLi7JCGEaJaEi5fQNI1t27ZRWFjI+PHjCQ0NdXdJQghxVhIuXmLHjh0cOXKEsWPHEhMT4+5yhBDinORMsAcoLrGRvauUiko7/mY9/XoH0atHoPP1ffv28dNPPzFs2DC6devmxkqFEKJlJFzcaPdP5Sz7Vy4bsgoxmXSggaKA1abSr3cwN17dnd7dq9mxYwcDBgygb9++7i5ZCCFaRIbFOtisWbNQFIVnnnmmUfunq45y96PfsyGrEFUFi0XFYlWpsaioKuzdX8G8BXuY9/e9dO/Rk0GDBrlpD4QQovUUTdM0dxfhqyoqKoiLi6N3795UVVXx888/oygKq9ef5K/P78XuOP+hN+jhsimxzHlgQCdULIQQriE9lw60YsUKHA4HL774Ijk5OXz99ddYLA6e+ce+FgULgN0B//nvSXb/VN7B1QohhOtIuHSgt956iylTppCWlkb//v159dVX+WZDAZpa9/oPmx7g551/J3f/Urat/iWbv7yM3VmPYbMWcyJ3FdvX3sjmVb9g58bf8/qSrQC8/PLLKIrCTz/91Oh7vffee+h0Og4dOtTJeymEEE1JuHSQPXv2kJWVxW9+8xsAbr75ZlauXMmSd7/DalOdyxUeXUtpwbf0GTKbXqn3UFr4Lbs2PcCxgx+RdMFdJKfeT3nJbpa+NZfqajs33XQTZrOZpUuXNvp+b7/9NmlpaSQlJXXmbgohRLMkXDrIm2++SVhYGFdeeSWAM2Syt37UaDlNrSVl5F8IjxlDXM/LCY0aTk1VLgNGPEVk3ERie0wjtns6ZUU/UFBkIywsjKuuuoply5ZRf7rs2LFjrF69mltuuaVT91EIIc5GwqUD2O12li1bxpVXXonFYqG0tBR/f3+mTJlCXs5KNM3hXNY/qCcGU7Dza5NfBEZTGObA00+TNBhDcNirqLXX9Xhuu+02Dh06RGZmJgBLly4lICCAa665ppP2UAghzk3CpQN8/vnnnDhxgiVLlhAeHu78WLNmDdaaAopPbHYuqzc0nR9Mp29+MsrwMBMAF110Eb169eKdd94B6obErrvuOplrTAjhMeQmyg7w1ltv0bNnT5YsWdLktRkzruJk7mdExk1o9XYjw+vCRVEUbr75Zl544QXuuecedu/ezeuvv97esoUQwmUkXFzsxIkTrFq1ikceeYS0tLQmr1933fX885+LsVQfa/E29fqmT5i85ZZb+POf/8xDDz1E3759GT9+fHvKFkIIl5JhMRd7++23sdvt3HDDDc2+/rvf3QqoFOR93qLtGfQKgQFN/wbo3r07l1xyCevWrePmm29uR8VCCOF6Ei4utmTJElJTUxk8eHCzr48ePZr+/QdQmL8KsJ9zWwaDQniYkfSLY5t9fcaMGeh0OmbNmtXesoUQwqVk+hc3sTs03lh2kH+tzEfTaHTvi8mkw25XmTgmitn39CMs1NjsNqZNm4Zer2flypWdVbYQQrSIhIubWSwOvtlQwIYthZRV1OJv1jMoJZSZl8U7T+Cfad68eezbt4/ly5ezfv16Jk2a1MlVCyHEuUm4eKFRo0axf/9+Hn/8cWbPnu3ucoQQogkJFyGEEC4nJ/SFEEK4nISLEEIIl5NwEUII4XISLkIIIVxOwkUIIYTLSbgIIYRwOQkXIYQQLifhIoQQwuUkXIQQQrichIsQQgiXk3ARQgjhcj7xJMoJM9ej6HQoOgVFqctLRaeg6HToTrUpOuVUe93nulNtzvZTX+t0OhRFabCN5pZV6rZ7atn69rrvVb9O420412nQrlMafo8Gyyunt3W6vcH3PfVgSuc2FAXdqdfrl9UpdcvVb6uubk5/z1OfO9t1nFr+1L4oNFgf5/ds1K6cblcU7YzXNOe2ncuiNa5D0eo+p+GymnPZRts+9bWiaM7tnF5Oa7BtDR2nl1Pq62iwnO7MdrSm22nYjurctqKdatPU08ue+vz0v820a6e3g6Y1eq1Rm6aBpjrbFeq/rvuXBtuuX4f6ZTUN1FPL1K8Dp9ZTG7/ubK9va9DeYBuoDZZtpl2r/1xT0dSm29DUute1+v10Lnvq+wLaqRq0hq9Bo3UbLa/WbbfReg3bT/1b31Zfx5ntDZdXHae/5+nXGi+vOs7dpp3aRn2b6tDQHKfrq/taQ7VraLV1/wLOz7VatVHb9Np9eDPpuQghhHA5CRchhBAuJ+EihBDC5SRchBBCuJyEixBCCJeTcBFCCOFyEi5CCCFcTsJFCCGEy0m4CCGEcDkJFyGEEC4n4SKEEMLlJFyEEEK4nISLEEIIl5NwEUII4XISLkIIIVxO0bT6BzCIrqK4uJgvv/ySadOmERER4e5yvJIcw/aTY+jbpOfSBRUXF7N8+XKKi4vdXYrXkmPYfnIMfZuEixBCCJeTcBFCCOFyEi5CCCFcTsJFCCGEy0m4CCGEcDkJly4oIiKCm266SS7/bAc5hu0nx9C3yX0uQgghXE56LkIIIVxOwkUIIYTLSbgIIYRwOYO7CxCuc/jwYRYvXszu3bsBSE1N5fbbb6dnz57nXbegoIAVK1awZ88eTpw4gV6vJykpiWuuuYaxY8d2dOkeoz3H8EzZ2dk88cQTpKWl8fDDD7u6VI/V3mOYnp7ebHtISAjvv/++y+oUHUtO6PuI0tJS7rzzThISErjqqqsA+Pe//83x48d55ZVXCA0NPef6mzZtYtGiRaSnp9O7d29sNhtffvklO3bs4G9/+xvDhg3rjN1wq/Yew4YOHz7Mww8/TE1NDRdddFGXCRdXHMP09HQuvvhiLr744kbtBoOBQYMGdUjdwvWk5+IjVq5cicPhYN68eQQFBQEwYsQIfvOb3/DFF19w4403nnP91NRU3nrrLUwmk7NtzJgxXH/99WzatKlLhEt7j2G94uJinnjiCdLT08nIyOjIkj2Oq45hXFxcl/iZ82VyzsVHZGdnM2TIEOcvNEBgYCCDBw9m+/bt510/NDS0UbAAKIqCpmmEh4e7vF5P1N5jCGCxWHjyySfp168ft956a0eV6rFccQyFb5Bw8RH5+flER0c3aY+NjSU/P79V27JYLBw6dIhnnnmG6OhoZs6c6aoyPVp7j6GqqsyfPx+DwcDs2bNRFKUjyvRorvw5rK2tdVVZwg1kWMxHVFVVYTabm7T7+/tTVVXV4u04HA7nWHlycjJ//vOfCQ4Odlmdnqy9x/D111/n0KFDLFiwoEkvsKtw1c/h8uXLWb58OX5+fiQmJjJt2jSmTZvWJQPbW0m4+BCdrmlHtLXXa+j1ehYsWEB5eTnr1q3jnnvu4X//938ZOXKkq8r0aG09hlu3bmXNmjU8++yzBAQEYLPZnK+pqorNZsNgMDS7fV/T3p/De++9l9jYWMxmM2VlZWRkZPCPf/yD0tJSbrrpJleWKjqQhIuPCAwMxGq1NmmvqakhMDCwVdtKSUkB6k7o33PPPbzyyiu8+eabLqnTk7XnGJaVlVFVVcXdd9/d5LW1a9eydu1a5s6dy7hx41xWrydyxc/h9OnTG309fvx4KisrWbVqlYSLF5Fw8RGJiYkcOXKkSfuRI0dITExs83bj4+PJyspqT2leoz3HcNSoUSxYsKBJ+7x58+jTpw833HAD3bp1c1mtnqqjfg579uzJDz/80J7SRCfz/T56FzF06FB+/PFHKisrnW2VlZXs3r2b4cOHN1r26NGj5ObmNmorLCxsss2amhr27t1LUlJSh9TsadpzDMPCwkhJSWnyYTQaCQ0NJSUlpUucu2rvz2Fz52UcDgfZ2dn06dOnY4oWHUJ6Lj5ixowZfP755/zpT3/iyiuvBOpuXjObzU2GGebMmcPJkydZtWqVs23RokWUlZUxefJk4uLiKC4uZuXKlZSUlDBnzpzO3BW3ae8xFO0/hp988glbt25lypQpJCYmOofDcnNzee655zpzV0Q7Sbj4iIiICJ555hkWL17MggULUBSFCy64gGeeeYawsLDzrn/ZZZfx1Vdf8emnn1JUVERQUBC9evXirrvuIjU1teN3wAO09xiK9h/DESNGcPjwYT777DOKi4sxGAykpqaycOFCevfu3fE7IFxGpn8RQgjhcnLORQghhMtJuAghhHA5CRchhBAuJ+EihBDC5SRchBBCuJyEixBCCJeTcBFCCOFyEi5CCCFcTsLlHNLT05k/f767yxBCCK/jE+GycOFC0tPTycnJOesy3333Henp6Xz88cedWJkQQnRNPhEuaWlpAKxbt+6sy6xfvx6dTsfkyZM7pyghhOjCfCJcBg0aRGRkJBkZGc2+Xltby6ZNm5zLCSGE6Fg+MStyfY/k448/Zs+ePc4nKdbbvn07lZWVTJkyhfz8fF5++WXy8/MpLS3FZDKRkJDAjBkzuOSSS875fXbu3Mljjz3GAw88wC9+8YtGr6WnpzNlyhQeffRRZ5vD4eCjjz5i9erVHD9+nKCgIEaPHs1tt91GSEiI6w6AEEJ4GJ8IF6gbGvv4449Zv359k3BZv349RqOR8ePHk5+fj16vZ8qUKYSHh2O329mxYwcLFizAZrM1eeZEW2maxl//+leysrKYNGkS6enpFBUVsWrVKg4cOMALL7yAweAzh18IIRrxmXe3vn370q1bNzIyMrjjjjvQ6epG/KxWK1lZWYwaNYqgoCD69+/PvHnznOupqspll13GfffdxzfffOOycMnIyGDz5s3Mnj2biy66yNk+ZswYHnvsMbZs2cKECRNc8r2EEMLT+Ey4QF3vZdmyZezcuZOhQ4cCsHXrVmpqapgyZYpzuW3btvHFF1+wb98+ysrK6IhH2qxfv56IiAgGDRpEQUGBsz0+Ph5/f3/27Nkj4SKE8Fk+FS5Tpkxh2bJlrF+/3hku69evJyAggNGjRwN1j1x97bXXiIiIYPLkyXTv3p2goCCWL1+O1Wp1WS15eXkUFxcza9asZl+vqKhw2fcSQghP41PhkpCQQL9+/di4cSP33HMPNpuNbdu2MXnyZEwmEw6Hg+XLl5OYmMjChQsJDAx0rvvZZ5+5NFw0TSMmJoa777672dejo6Nd9r2EEMLT+FS4QN3Q2Ouvv8727dupqKjAZrM5h8TKy8uprKzk0ksvbRQsLWU0GgFaFEJxcXH88MMPjBgxQk7cCyG6HJ+4z6WhyZMno9PpWL9+vfO8x+DBgwEICQnBYDBw7NixRuscOHCgSVtzYmNjAdi/f3+j9m+//bbJsuPGjcNqtfLOO+80ea2qqoq8vLwW75MQQngbn/uTuj5MNm/ejN1uZ8aMGej1egD0ej1Tp07lq6++YsGCBfTq1YsjR46wZs0aNE077w2WERERDB06lLVr1xIcHExMTAw7d+5sNlwuvfRSMjMz+fDDD9mzZw/Dhg3DbDaTk5PD5s2bufXWW+nWrVuHHAMhhHA3n+u5QN2JfYvFgt1ud04NU+/OO+8kPT2drKwsli5dyrFjx5g7dy79+/dv0bZnz57NuHHjWLNmDcuXL8doNPLSSy81WU6v1/PUU09x2223UV1dzQcffMC7777LkSNHuOKKKxgzZowrdlUIITySonXEdbhCCCG6NJ/suQghhHAvCRchhBAuJ+EihBDC5SRchBBCuJyEixBCCJeTcBFCCOFyEi5CCCFcTsJFCCGEy0m4CCGEcDkJFyGEEC4n4SKEEMLlJFyEEEK43P8DNHwPh9OxkjsAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[('Alice', 0.49816568565363206), ('Bob', 0.40845488054415907), ('John', 0.5634381194270055), ('Amy', 0.21678431148030036), ('Mike', 0.3410115867353848), ('Rose', 0.3228756816201712)]\n" ] }, { "data": { "text/plain": [ "{'Alice': 0.49816562620567956,\n", " 'Bob': 0.4084543148167931,\n", " 'John': 0.563437771403002,\n", " 'Amy': 0.21678389847563684,\n", " 'Mike': 0.3410123357350908,\n", " 'Rose': 0.32287658256564244}" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Eigenvector centrality, manually\n", "N = len(G_dir)\n", "A = nx.to_numpy_array(G_undir)\n", "\n", "# Start with everybody having 1 unit of influence\n", "weight = np.ones(N)\n", "for i in range(100):\n", " # spread influence to neighbors \n", " weight = weight @ A\n", "\n", " # normalize uwing the geometrical mean\n", " weight = weight / np.sqrt(np.sum(weight**2))\n", " \n", " if i < 5:\n", " print(G_undir.nodes())\n", " print(weight)\n", "\n", " plot_network(G_undir, None, values = weight)\n", " plt.show()\n", "\n", "# Compare with the results of networkx\n", "print(list(zip(G_undir.nodes(), weight)))\n", "nx.eigenvector_centrality(G_undir)" ] }, { "cell_type": "markdown", "id": "9849d6c9", "metadata": {}, "source": [ "## 6.2 Pagerank\n", "For pagerank centrality, we start with 1 random walker distributed over all nodes, from there, it gets distributed to the neighbors (1/k of the random walker go to each of the k neighbors). This process is done many times, until it converges." ] }, { "cell_type": "code", "execution_count": 33, "id": "74f5b2e5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[('Alice', 0.31535471331389314), ('Bob', 0.2930515063168089), ('John', 0.3059687803692869), ('Amy', 0.024999999999999696), ('Mike', 0.024999999999999696), ('Rose', 0.03562499999999957)]\n" ] }, { "data": { "text/plain": [ "{'Alice': 0.3153534818017285,\n", " 'Bob': 0.293052806246324,\n", " 'John': 0.3059687119519481,\n", " 'Amy': 0.025,\n", " 'Mike': 0.025,\n", " 'Rose': 0.035625000000000004}" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# PAgerank centrality, manually\n", "N = len(G_dir)\n", "A = nx.to_numpy_array(G_dir)\n", "\n", "## Calculate transition matrix (Row normalize matrix)\n", "# construct diagonal inverse degree matrix\n", "degree = A.sum(1)\n", "D = np.diag(1./degree, 0)\n", "A_hat = (D @ A)\n", "\n", "# random walkers are spread out evenly\n", "weight = np.ones(N)/N\n", "\n", "for i in range(1000):\n", " # calculate where random walkers go next\n", " weight = weight @ (0.85*A_hat + 0.15/N)\n", "\n", "# Compare results with networkx\n", "print(list(zip(G_dir.nodes(), weight)))\n", "nx.pagerank(G_dir)" ] }, { "cell_type": "markdown", "id": "0dbfd98f", "metadata": {}, "source": [ "## 6.3 Infinite random walker\n", "\n", "A random walker ends up a fraction of time in each node proportional to the degree of the node" ] }, { "cell_type": "code", "execution_count": 34, "id": "55acfe29", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[('Alice', 0.6000000000000002), ('Bob', 0.4000000000000001), ('John', 0.8), ('Amy', 0.20000000000000004), ('Mike', 0.4000000000000001), ('Rose', 0.39999999999999997)]\n" ] }, { "data": { "text/plain": [ "{'Alice': 0.6000000000000001,\n", " 'Bob': 0.4,\n", " 'John': 0.8,\n", " 'Amy': 0.2,\n", " 'Mike': 0.4,\n", " 'Rose': 0.4}" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "N = len(G_undir)\n", "A = nx.to_numpy_array(G_undir)\n", "\n", "## construct transition matrix (row normalised adjacency matrix)\n", "# construct diagonal inverse degree matrix\n", "degree = A.sum(1)\n", "D = np.diag(1./degree, 0)\n", "A_hat = (D @ A)\n", "\n", "# it does not matter where the walker starts\n", "weight = np.ones(N)/N\n", "\n", "for i in range(1000):\n", " # calculate power\n", " weight = weight @ (A_hat)\n", " \n", " \n", "# Compare to networkx\n", "norm = max(nx.degree_centrality(G_undir).values())/max(weight)\n", "print(list(zip(G_undir.nodes(), weight*norm)))\n", "nx.degree_centrality(G_undir)" ] }, { "cell_type": "code", "execution_count": null, "id": "91f5de7c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b138add8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "fd1b7a76", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "1f550d24", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:networks]", "language": "python", "name": "conda-env-networks-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }