{ "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": 34, "id": "5c5ec074", "metadata": {}, "outputs": [], "source": [ "path_data = \"../../Data/\"" ] }, { "cell_type": "code", "execution_count": 47, "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", " if a0 is None:\n", " fig, a0 = plt.subplots()\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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" ], "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]], \n", " 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", "You can do this using the functions `nx.to_...(G)`, such as `nx.to_scipy_sparse_array`\n", "\n", "What are the advantages of each?\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "7cabece8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "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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" ] }, "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 back 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 a matrix (==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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"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 paths\n", "- Number of nodes 2 steps away\n", "- Number of nodes 3 steps away\n", "\n", "3b. Number of triangles and clustering\n", "- Number of triangles directed\n", "- Number of triangles undirected" ] }, { "cell_type": "markdown", "id": "ed2b490d", "metadata": {}, "source": [ "## Exercise 3a: Matrix multiplication and paths" ] }, { "cell_type": "code", "execution_count": 36, "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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", 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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", "# Find who is one step away (just the normal adjacency matrix)\n", "print(\"One step away\")\n", "plot_network_adj(G_dir)\n", "A = nx.to_scipy_sparse_array(G_dir)\n", "\n", "# Find who is two steps away\n", "print(\"Two steps away\")\n", "G2 = adj_to_net(A @ A) #A**2\n", "plot_network_adj(G2)\n", "\n", "# Find who is three steps away\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": 37, "id": "2058e0be", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1, 1, 1, 1, 2, 1])" ] }, "execution_count": 37, "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": "markdown", "id": "6bd6646e", "metadata": {}, "source": [ "## Exercise 3b: Number of triangles and clustering" ] }, { "cell_type": "code", "execution_count": 17, "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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"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": 18, "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": "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_50583/980830522.py:11: RuntimeWarning: invalid value encountered in 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": 20, "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(), \n", " path_3, \n", " potential_links, \n", " path_3/potential_links\n", " )\n", " )" ] }, { "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": 52, "id": "f2806068", "metadata": {}, "outputs": [], "source": [ "G = nx.florentine_families_graph()" ] }, { "cell_type": "code", "execution_count": 53, "id": "541bfaf6", "metadata": {}, "outputs": [ { "data": { "image/png": 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w4ME0bNgQMzMzY5cohBBCCCHEA0NRFL5fsJdF3+254T5qtQpra3NCuwfcx8oeThJWCSHEQyQnJ4fo6GiioqJIT0/H0dGRDh060Lx5cxwdHY1dnhBCCCGEEA8cnU7P5x9tY/WKaMO27j0bsi/yPLm5RZiaqtFq9VhbmzPns8FYW5sbsdqHg4RVQgjxgNPpdMTExHD06FHOnj2LiYkJgYGB9OvXD41GI9P8hBBCCCGEuEtFRVpmTfuDndvPGLY9PyGUEaNbk59fTMTWGC4nZlHH04HQ7gESVFUSCauEEOIBlZSUxNGjRzl27BgFBQV4enrSt29fGjdujKWlpbHLE0IIIYQQ4oGWm1vEm6+u4uiRBKC0efob03sR3jsQAGtrc/oMaGrMEh9aElYJIcQDpKCggOPHj3P06FGuXLmCjY0NLVq0ICgoCFdXWZVPCCGEEEKIypCamsvkl1Zw9kwKAFZWZsycM4C2Ib5GrqxmkLBKCCGqOb1ez/nz54mKiuL06dPo9Xr8/f3p0qUL9evXx8TExNglCiGEEEII8dC4dDGDV1/8jaTL2QA4OFox57PBBDb2MHJlNYeEVUIIUU2lp6dz9OhRoqOjyc7OxtXVla5du9KsWTNsbW2NXZ4QQgghhBAPndMnk5g8YQWZGQUAuHvY8/EXQ6nr42TkymoWCauEEKIaKS4u5tSpU0RFRREfH4+FhQVNmjShRYsWeHp6SrN0IYQQQgghqsiBfReYOnkNBQUlAPg1cOWjz4fg4iofFN9vElYJIYSRKYpCQkICUVFRnDhxguLiYnx9fRk0aBCNGjXCzMzM2CUKIYQQQgjxUNuy8RSzZ2xAp9MD0DzIi9kfD8TOThYuMgYJq4QQwkhycnI4duwYR48eJTU1FQcHB0JCQmjevDm1atUydnlCCCGEEELUCL/+dJgvP91h+L5TaAOmzeqLhYVEJsYiz7wQQtxHOp2O2NhYjh49ypkzZ1Cr1QQGBtK7d298fX1lmp8QQgghhBD3iaIofPvlbn763wHDtgGDm/PK5G6YmKiNWJmQsEoIIe6Dq1evEhUVxbFjx8jPz6dOnTr07t2bJk2aYGVlZezyhBBCCCGEqFG0Wh0fztrMxj9OGLaNezqE8U+3lw+QqwEJq4QQoooUFhZy/Phxjh49yuXLl7G2tqZZs2YEBQXh5uZm7PKEEEIIIYSokQoKipn+xu/sizwPgEoFE1/vziNDWhi3MGEgYZUQQlQiRVE4f/48R48e5dSpU+h0Oho0aMDw4cPx9/fHxMTE2CUKIYQQQghRY2VlFjBl4kpOHL8CgJmZCVNn9SW0q7+RKxPXk7BKCCEqQWZmJkePHuXo0aNkZWXh4uJCaGgozZo1w87OztjlCSGEEEIIUeMlJ2Xz6ovLuXghHQAbG3Pe/3gQLVrVNXJl4t8krBJCPNQUReFymkJ2Puj1YGkOni4qLM3vfR56SUkJp06d4ujRo5w/fx5zc3MaN25MUFAQXl5eMtddCCGEEEKIauLc2RQmvbyClKu5ADg52zD3v0Oo7y/tOaojCauEEA+lgiKFo3F6/jyhI7cAri3moSigV6B5PTUhgWo8nO5slQ9FUUhMTCQqKooTJ05QWFiIRqNh4MCBNGrUCHNz8yq4GyGEEEIIIcTdOnY0gSkTV5GbUwSAl3ct5v53CHU8HY1bmLghWYtRCFFt/PXXX4wcORJ3d3fMzc3x8PBgxIgRREVF3dF5Xnp1OtaWajYd1pGVBzo9FGtL/5ToSr8/Gqfn69+1rPxTy6JFi1GpVFy4cOGG58zNzWXPnj18/fXXLFy4kOPHj7N9+3Zat27NuHHjaN68OeHh4YSGht7bkyCEEEIIIYSoNH/uPMvEF5YbgqqGjWrz1YJRElRVczKySghRLZw4cYKQkBDatm3Lf//7X2rXrk1CQgJffPEFISEhREREEBwcfMvznL6kJ/qcHgCt7sb76ZXS/x47r8fNoSeRkXvw8PAos49Op+Ps2bNERUVx5swZVCoVDRs2pGfPnsTHx/PWW2/x5ptvGvb/6quv7vzGhRBCCCGEEFVi3ZrjzJ29Gf3fv/y3CdYwc84ArK1lNkR1J2GVEKJa+OSTT3BycmLjxo2YmZkZtg8cOJCGDRsyc+ZM/vjjj5ue42qmws87tCjK7V9Xq4Or+S5km7thYVH6IzElJYWoqCiOHTtGXl4eHh4e9OzZk6ZNm2JlZQXApUuXyp0rMDDw9i8shBBCCCGEqBKKovDD4v0s+PpPw7buPRvxxvRemJnJ6twPAgmrhBDVQlJSElD6D8v1bGxs+PTTT8nLywNKRzvNnTuXH374gbi4ONRqNc2bN2fWrFmkmXYqF1RFrpvDrtXv8vKn8VjbuRi2H97+LZuWvsJLn5wj7vhm3nn8aVauWkda6hUSExM5fvw4x44dIyEhAUVRCAgI4M0332T48OFEREQQFhYGQFhYGF26dCEiIsIwBTAiIqJqniQhhBBCCCHETen1Cv/9eDsrf/2nlcjwR1vx3MuhqNWyANKDQnpWCSGqhX79+nHx4kVCQkKYN28ep06dMgRXQ4cOZezYsQBMmTKFd955h//85z9s3LiR7777jtTUVIYOHcrhmFzD9L5rmoSMQq/XcfrQqjLbT+xbhm9gV2wd3A3bIg4lYW1tTUlJCatWrWLMmDGsX7+eH3/8EXNzc0aPHs3Fixdp2bIl8+bNA2DevHky/U8IIYQQQohqoLhYyztvrSsTVP3fS515foIEVQ8aGVklhKgW/u///o8rV67w0Ucf8cILLwDg4uJCz549efHFF2nXrh0Aly9fZvbs2bz44ouGY62srBgyZAipl47jXq9sXysHZ298Ajpz8sBvtAx7GoCstItcOruHR55eXGZfa/eOPPpoAK+++iqvvfYaU6dONTzm6+tLq1atiIyMZNSoUYYpf4GBgTL9TwghhBBCCCPLyy3irUlrOHLoIgAmJiomv92T3v2aGLkycTckrBJCVBvvvvsur7zyChs3bmTbtm3s2LGDpUuX8tNPP/Hpp5/y8ssvs3TpUgBSU1M5c+YMMTExrF27FoCi4uIKz9sk5FHWL/k/cjKvYOfowcn9v2JuYUNAy0fK7JdbqEJRFD7++GMAsrKyOHPmDLGxsWzbtg2A4htcQwghhBBCCGEc6Wl5THp5BWdirgJgYWHKux/0J6Sjn5ErE3dLpgEKIaqVWrVqMWrUKBYsWEBcXBxHjhwhMDCQ119/nbS0NA4dOkTbtm1xdXWlW7duzJs3D7X62o+yijurN2ozBBMzC04dWA7AX/uWEdByIGYW1mX2U4ASLcTFxdG9e3dq1apFhw4dmDNnjiGk+ndPLSGEEEIIIYTxJCZk8vxTPxuCKnsHSz77ergEVQ84CavEHXn88cdRqVTMmTOn0s8dERGBSqUq05z6amoRazdd4edVl1i3+Qqp6UW3PKayaDQaxo0bB8CFCxdQqVQsWbKk0q8jIDExkTp16rBw4cJyjwUFBTFr1iyKioo4ceIEvXr1wtbWlr/++ovc3FwOHjzIE088cdPzW1jZ4R/Un1MHV5B6+RRXLx2jaftHK9xXrdbTt29frl69yv79+8nLyyM6Opo33nijUu5VCCGEEEIIUTliTifz3JM/kZiQCYBbbTu+nD+Kxk3rGLcwcc9kGqC4bTk5OaxYsYKmTZvy3XffMXnyZFSqymtS17JlS/bu3UtgYCAXE/P57/w4DkSlY26mRq8oqFUqiufpCWntzEtP++HpblXmmKrk4eHB3r178fOTdL4quLu7Y2pqyrx58xg9ejSWlpZlHo+JicHS0hILCwvS0tJ4+eWXady4seHxDRs2AKBW6W94jaYhj/Lr54M5tO0bbB3roGkUVm4feytIT0sjJiaGzz77jDZt2pS7hl5feg0TE1nyVgghhBBCCGM5fCCeNyetpiC/BADfes589N+huNW2M3JlojJIWCVu288//4xOp+O///0vYWFhbN68mZ49e1ba+e3t7QkODubMuVyee/0IRcU69HooLLoWQJROv9p3KI3oE5l8/WEQvt6lx1Q1CwuL+3KdmsrExISvv/6agQMH0rp1a1544QUaNWpEfn4+mzdv5ssvv2TWrFk0bNgQe3t73nvvPUxNTTEzM2P58uWGEVlFBXk3vEa9puFY27lyJGI+7Xq+jEpdfmBpK38T3Nzc0Gg0fPnll3h5eVGrVi02bdrEZ599BkBeXuk1HB0dAfjjjz+oVasWzZs3r9wnRQhRqXr37l3hdnt7e5YtW3afqxFCCCHEncrPL2bH1hguJ2aRnVXAutXH0OlK3yM2be7JB58Mws7e8hZnEQ8KmQYobtuiRYsICwsjNDSUgIAAvvnmm3L7/PLLL7Ru3Rpra2u8vb15/fXXKSr6Z+re4cOH6d27Nw4ODri6ujJy5EguXboE/DOlb8wzSygsKg2q0pJ2c3zPi+zd0Js963twZMcYEuJWkpevY8LUY2zbtr3MNMAZM2ZUONpLpVIxY8YMw/dZWVlMnDgRPz8/LC0tadKkCYsWLbrhvcs0wKrXt29f9u/fT9OmTXnvvffo2bMnI0eO5OjRoyxbtozXX38dBwcH1qxZg6IoDBs2jDFjxnDx4kV27dqFra0tV2LWg6Kr8PxqtQmNg4ej6HU0Cal4CmBj79IfiatXr8bT05Nx48YxfPhw9u7dy9q1a2nYsCG7d+8u3bdxY0aNGsWXX37J6NGjq+ZJEUJUqm7dujF79uwyf95++21jlyWEEEKIWzgencjQvt8yZ+Ymli7Zz5oV0YagqkNnPz75cqgEVQ8ZGVklbsupU6fYv38/P//8MwDjxo3j7bffJjExEU9PTwC+/fZbnn32WZ588knee+89zp8/z6RJk0hNTWXhwoUcO3aMDh060LZtW5YsWYKiKLzxxhuEh4dz7Ngxw7WKi/WYWkF68l5OH5qKh+8Q6vqPR68r5MqFVZw78V9sHPwxM2tG9MnsO76XgoICOnbsSHJyMu+88w716tVj9erVPPnkkyQlJfHmm29WzpMm7ljLli0Nr7EbCQ0N5eDBg4bvCwoK2L59O5MmTcLepT7pajWdB06l88Cp5Y7tMWouPUbNLbe9VZfH+b9nxtEwoPRHYvPmzSvsg3bq1CnD12q1mp9++qnM41XRO00IUXnc3d0JCgoydhlCCCGEuAP5+cW8PmEl+fmlCx7p9f8seGRqqubN6b2xsDQzVnmiikhYJW7LwoULcXR0ZODAgQCMHTuWt99+mwULFjB9+nT0ej3Tp09n0KBBLFiwwHBcYWEhS5YsoaioiJkzZ+Lk5MTmzZsNPYnq1q3L8OHDy4RVJSWl0/7yc+Nx9epJvcYvGh6zq9WEA5sHkJ0ejb1TEyIiU+74XpYsWcJff/3Fn3/+SYcOHQDo2bMnJSUlzJw5k2effRYnJ6c7Pq+4v/R6PUeOHGH79u3o9Xp69OhB27ZtiUlQ8UuEFv1tLtpnagK+7ip6tZYeVEIIIYQQQlQ3O7bGkJtbVOFjWq2e3RFn6DOg6X2uSlQ1mQYobkmr1fLjjz8ycOBACgsLyczMxMrKirCwMBYsWIBOpyM2Npbk5GQGDRpU5tgJEyZw9OhRLCws2L17N7179y7TPLtNmzacP3+eVq1albuul99I/Fu8gU5bQF72WVIvR5B4tnQki15f2kQvJbXiH1o3ExERgY+PjyGouuaxxx6jsLCQffv23fE5xf118eJF5s+fzx9//EFAQAAvvPACISEhmJiYEOij5rFuppialAZRN6JWlf5p7KPisW6mqNWVt1iAEKL6KikpMXYJQgghhLgDlxOzMDWtOLowNVVzOTHrPlck7gcZWSVuad26dSQnJ7NkyZIKezatW7cOFxcXANzc3G54nrS0tJs+/m8lxZnEHfuEtKQ/QQVWNl7Y1/o7MVf+HjZzF/lCeno67u7u5bZf25aZmXnnJxX3RU5ODlu3buXYsWPUqVOHJ598Ei8vr3L7+XupmTzMjCNn9USe0JFfBCZ///umKKBToKlGRftAEzxdJLMXoqZYunQpS5cuxcLCAk9PT/r06UOfPn0qdWVbIYQQQlSuOp4OaLUVr/qt1eqp4+lwnysS94OEVeKWFi1ahI+PT4VB1ZAhQ/jmm2+YO7e0D1BKStlpeenp6Rw+fJiQkBAcHR3LPQ6wYcOGCldSiz0yi/zceBoHf4x9rcaoTczR6QpJvvQHACoVeLiVbaJ37Q2HTqfDxKR0WE1ubm6ZfZycnDhz5ky56125cgXAELyJ6kOn07Fv3z527dqFqakp/fv3Jygo6KZvMK0tVXRsYkL7xmoSUhRy8kGrV7AyV+HlqsLaQt6cClGTvPDCC9SuXRtLS0uysrLYtWsXX375JZmZmbJIghBCCFGNhXUP4LOPtlFUqC2zXa1WYW1tTmj3ACNVJqqShFXippKTk9mwYQOvvfYaoaGh5R4fOXIk33zzDZaWlri4uLB69Woee+wxw+NLly7llVdeISkpiU6dOrFx40aKioqwsLAA4Pjx4/Tp04dVq1bh6OgIgJlZ6UiX7PTj1Pbpj6PLP81wM67uB0BBwcxURVhHV1Zd1+Pa3t4egEuXLqHRaACIjIwsU3OXLl349ddfiYyMLDMV8Mcff8TMzIy2bdve3ZMlqsTZs2fZuHEj6enptGnThrCwsDJTSW9FrVLh7SbBlBA1Xd++fct836FDB3Jzc9mwYYOEVUIIIUQ1Zm1tjl99V07+VTq4wMREhU6nYG1tzpzPBmNtbW7kCkVVkLBK3NT333+PVqtl1KhRFT4+duxYvvrqKxYsWMA777zD888/z3PPPcegQYM4c+YMb7/9Nv/3f/+Hi4sLU6dOJSQkhD59+jBhwgSKioqYOnUqrVq1onfv3uzduxcAa2sT1GqwdWxIauJWbB38sbB0JTvjBAlnfwRU6HUF2FjrCfS3K1NP3759mThxIk8//TSvv/46CQkJvPPOO9jZ/bPfuHHjmDdvHoMGDeLdd9+lXr16rF27lkWLFjF9+nRDaCaMKyMjg02bNhETE4NGo2HYsGHUrl3b2GUJIR4iPj4+HD9+3NhlCCGEEOImMjPziTmVDIC9vSWPDGmBp5cDod0DJKh6iElYJW5qyZIlNG7cmGbNmlX4eNu2bWnYsCGLFi3i0qVL2NjY8NFHH7Fw4UI8PT157bXXmDJlCgBBQUFERETwxhtvMGLECOzs7OjTpw9z5swxjLQCeOkpP75fZUqjVm8SG/0Z5/76HAArm7r4NX2V1MtbyM08TmPv/ezZU1ymHn9/f/73v/8xa9Ys+vbtS6NGjfjuu+948cV/VhS0trZm586dTJkyhWnTppGdnU3Dhg1ZuHAhTzzxRGU/heIOlZSUsHv3bvbs2YONjQ1Dhw4lMDBQesoIIe5aXl4eNjY2ZbbpdDqioqKoX7++kaoSQgghxO3Yuf0MOl1pz6q+jzTl6ec6GrkicT+oFEW5zQXehbh/rqYWsWDpBTZHJGNqokKl+rsxtl6hV1htnnrMl6TLZ1i1ahXe3t4MHz78jqaGiepHURROnjzJ5s2bycvLo3379nTs2BFzc/m0RAhxb3788UcOHDhAWFgYnp6ehul/p06dYu7cuTRs2NDYJYpKNHnCinJ9TaorC0tTPvxsiLHLEEKIau2l//zC0SMJACz4cQz+ATLboiaQkVWiWnJzseDNlwN46Sk/Dh/LJC9Pi62NKa2bO2JtXfqyda7VGBsbG5YtW8aSJUt49NFHDT2rxIPl6tWrbNiwgQsXLhAQEEDPnj2pVauWscsSQjwkWrVqRXx8PGvXriU9PR1TU1MaN27M559/jp+fn7HLE0IIIcQNpFzNITqqNKjy9nGigf/try4vHmwSVolqzdbGlC4hN16dT6PRMH78eJYuXcrChQsZPXo0bm7yA+xBUVhYyI4dOzh48CBOTk6MHj1apuQIISpdo0aNeOutt4xdhhBCCCHu0I6tMVybC9Y1PEBag9QgElaJB56bmxtPPvkkP/30E4sXL2bEiBGGlQBF9aQoClFRUWzbtg2tVku3bt0IDg7GxMTE2KUJIYQQQgghqomtm04bvu4WLtP2axIJq8RDwd7envHjx7Ns2TJ+/PFHBg0aROPGjY1dlqhAQkICGzZs4PLlyzRr1ozu3buXWa1RCCGEEEIIIRIuZXD6ZBIADfzd8NE4G7kicT9JWCUeGhYWFowePZq1a9eyfPlysrOzCQkJMXZZ4m+5ubls27aNo0eP4u7uzvjx4/H29jZ2WUIIIYQQQohqaPuWGMPX3XrKqKqaRsIq8VAxMTFh4MCB2NnZsXnzZrKysujZs6fMbTYinU7HgQMH2LlzJ2q1mr59+9KyZUvUarWxSxNCCCGEEEJUU9s2nTJ83bVHgBErEcYgYZV46KhUKrp3746DgwMbNmwgJyeHQYMGYWoqL/f77dy5c2zYsIG0tDRatWpF165dsbKyMnZZQgghhBBCiGrs3NkUzp9LA6BJszq4ezgYuSJxv8m7d/HQatOmDXZ2dqxYsYIffviBkSNHSlByn2RmZrJ582ZOnTqFt7c3Q4YMwd3d3dhlCSGEEEIIIR4A2zZf11hdpgDWSDIPRzzUGjZsyNixY0lJSWHRokVkZmYau6SHWklJCREREcybN4+EhAQGDx7MuHHjJKgSQgghhBBC3BZFUQxhlVqtIqybTAGsiSSsEg89Ly8vnnzySbRaLQsXLiQpKcnYJT10FEXh1KlTfPXVV+zevZt27drxwgsv0LRpU+kXJoQQQgghhLhtp04mcTkxC4CWrb1xcrYxckXCGCSsEjWCs7MzTz75JPb29ixevJi4uDhjl/TQSElJ4ccff+TXX3/F1dWV5557ju7du2Nubm7s0oQQQgghhBAPmG2bZAqgkLBK1CC2traMHTsWHx8ffvrpJ6Kjo41d0gOtqKiITZs28c0335CRkcGoUaN49NFHcXZ2NnZpQgghhBBCiAeQTqdn+5bSsMrUVE3n0AZGrkgYizRYFzWKubk5I0eOZN26daxevZqsrCw6deokU9XugKIoREdHs3XrVoqLiwkNDSUkJERWWxRCCCGEEELck2NHE0hLzQOgXXtf7OwtjVyRMBZ5dylqHLVaTf/+/XFwcGDHjh1kZ2fTp08f1GoZaHgrly9fZsOGDSQkJNCkSRN69OiBvb29scsSQgghhBBCPAS2XjcFsHvPRkasRBibhFWiRlKpVHTp0gV7e3t+//13cnJyGDJkiPRZuoG8vDy2bdtGVFQUbm5ujB07Fo1GY+yyhBBCCCGEEA8JrVbHzu2xAFhamtK+Uz0jVySMScIqUaMFBQVhZ2fHr7/+yv/+9z9GjRqFjY2sNnGNXq/n4MGDREREANC7d29at24to9CEEEIIIYQQlerg/niyswoB6NC5PlZWMpCgJpN3nKLGq1+/PuPHjyczM5OFCxeSnp5u7JKqhQsXLvDtt9+yceNGAgMDefHFF2nbtq0EVUIIIYQQQohKV2YVwHBZBbCmk3edQgAeHh48+eSTqNVqFi5cSGJiorFLMpqsrCyWL1/O999/j7m5OU8//TT9+/fH2tra2KUJIYQQQgghHkJFhSXs3nkGAFs7C9qGaIxbkDA6CauE+FutWrV44okncHZ2ZsmSJcTGxhq7pPtKq9Wya9cu5s2bR3x8PAMHDuSJJ56gTp06xi5NCCGEEEII8RDbG3mOgvwSADqHNcDcXDoW1XTyChDiOtbW1owZM4aVK1fyyy+/0KdPH1q3bm3ssqqUoijExsayadMmsrKyaNeuHV26dMHCwsLYpQkhhBBCCCFqgG2bZQqgKEvCKiH+xczMjGHDhrFx40b++OMPsrOzCQsLQ6VSGbu0SpeWlsbGjRs5e/Ysfn5+PProo7i4uBi7LCGEEEIIIUQNkZdbxN4/zwFQy8maoFbeRq5IVAcSVglRAbVaTe/evXFwcGDr1q1kZ2fTv39/TExMjF1apSgqKmLXrl3s27cPe3t7RowYQUBAwEMZyAkhhBBCCCGqr907z1JcrAMgrHsApqbSrUhIWCXEDalUKjp06IC9vT2rV68mJyeH4cOHP9DT4xRF4fjx42zZsoXCwkI6d+5M+/btMTMzM3ZpQgghhBBCiBpIpgCKikhYJcQtNG3aFFtbW5YtW8aSJUt49NFHsbOzM3ZZd+zKlSts2LCBS5cuERgYSI8ePXB0dDR2WUIIIYQQQogaKjMzn0P74wGo7W5H46ayuJMoJePrhLgNvr6+jB8/nry8PBYuXEhKSoqxS7pt+fn5rFu3jvnz51NYWMiYMWMYNmyYBFVCCCGEEEIIo9q5LRadTg9A1x4NUaulLYkoJWGVELepdu3aPPXUU1hYWLBo0SIuXrxo7JJuSq/Xc/DgQb788kv++usvwsPD+c9//kO9evWMXZoQQgghhBBClJ0C2FOmAIp/yDRAIe6Avb0948ePZ9myZfzvf/9j8ODBBAYG3vI4XWERKZt3k3ngGOl/HiL/bDz64hJUpiaYuzpTq30Qtdo2x7VnJyzr1L7nOuPj49mwYQPJycm0aNGC7t27Y2Njc8/nFUIIIYQQQojKkHI1h+ioBAC8fZxo4O9m5IpEdSJhlRB3yNLSktGjR7NmzRp+++03evbsSXBwcIX7Fly6woV5P3Dxu1/Qa3UoWi1KibbMPsUp6eSeOsvln35HX1SMa+8u1Jv4BM6d2txxbdnZ2WzdupXjx49Tp04dnnrqKTw9Pe/qPoUQQgghhBCiquzYGoOilH7dNVxWJhdlSVglxF0wNTVl8ODB2Nvbs2nTJrKysggPDzf8gFX0ei588xOnJ88BQF9UfPMTKgq6/AIArq6PIGXzbtwHdKfJvBmYOznesh6tVsu+ffvYtWsXZmZmDBgwgBYtWsgPfCGEEEIIIUS1tHXTP1MAu4c3MmIlojqSsEqIu6RSqejRowf29vZs3LiRnJwcBg4ciD4rh4MDnyU76uStQ6qK6PUoxXqSf99G6rZIWq/8GqeOrW+4+5kzZ9i4cSMZGRm0bduW0NBQLC0t7+HOhBBCCCGEEKLqJFzK4PTJJAAaBLjhrXEyckWiupGwSoh71K5dO+zt7Vm5ciVLv/6Oul+soDAxGaW45J7Oqy8qRl9UzL6e42iz+htce3Qs83h6ejqbNm0iNjYWX19fRowYgZubzPMWQgghhBBCVG/bt8QYvu4WLo3VRXkSVglRCRo1asToYcM5HPoYeenZqP9efrUyKMUlHBr0f4RE/IRj66YUFxeze/du9u7di62tLcOGDaNRo0Yy5U8IIYQQQgjxQNi26ZTh6649AoxYiaiuJKwSopLkffsbVtn5KJUYVF2jLy7hyMiXcV02l627dpKXl0eHDh3o2LEjZmZmlX49IYQQQgghhKgKcWdTOH8uDYAmzerg7uFg5IpEdSRhlRCVIGPfUeK/Woqi1d5657uhKORfTuLAy+9Q58VHCQ8Pp1atWlVzLSGEEEIIIYSoIts3/9NYvVtPmQIoKqY2dgFCVHehoaGoVCrat29/w32G9etP38KTfKpLuqdrHdPn008byzF9PgBb9Vn008aSrJSgKtHhfiiWR7p0vWFQtWTJElQqFRcuXLinOoQQQgghhBCisimKwra/wyq1WkVYN5kCKComYZUQt0GtVrNv3z4uXbpU7rHkw8eJTEuskuu2Udkw16QuTpiU1mFmxqWFv95w/759+7J37148PDyqpB4hhBBCCCGEuFunTiZxOTELgJatvXFytjFyRaK6krBKiNvQsmVLLC0t+e2338o99r+33sUcNc5VMKvWQWVKQ5UVZqrSv6r6wiLOf/EDiqJUuL+rqyvBwcFYWFhUei1CCCGEEEIIcS+2bZIpgOL2SFglxG2wsbGhb9++/Ppr+VFNayJ30lFl+/fYp1J6ReE3fTpPa88zUHuGZ7Tn+V2fUe7YDfpMntGeZ7D2DFO0l0ihpMzj108DvOZA2mU6tgvG1tYWDw8P/vOf/5CRUXpumQYohBBCCCGEqI50Oj3bt5SGVaamajqHNTByRaI6k7BKiNs0YsQI9u/fz8WLFw3bMpKvciA3lc5quzL7fqW/ylJ9KqEqO6ap69BRZcd8fQo/69MM+/yuz2Ce/iqtVDa8ra5DgMqSL/RXb1rDIX0e07WXsMeEZcuW8dFHH7F27VqGDh1auTcrhBBCCCGEEJXo2NEE0lLzAGjX3hc7O0sjVySqMwmrhLhNffv2xdbWtsxUwF++WYCDyoTGWBm2JSrFbFKyeEztwmgTF1qqbXjcxIVhKid+06eTrehQFIVl+nQ6qGz5j4kbLdU2jDdxpYfK/qY1LNWn4quy4NPwofTt25fHHnuML7/8kkuXLnH58uUqu3chhHiYREVF0b9/fz7++GNjlyKEEELUGFuvmwLYvWcjI1YiHgQSVglxm6ysrOjfv3+ZqYDL1/9OFzNHVCqVYVu0ko8CtFXZoFMUw592aluKUTihFJBACZnoCFbZlrlGJ1XZEVrXK1L0nKWIYJUtJZnZhu1DhgwhNjaWOnXqVN7NCiHEQyo+Pp733nsPvV5v7FKEEEKIGqOkRMfO7bEAWFqa0r5TPSNXJKq7yu8ILcRDbMSIEQwcOJALFy5gZ2fHrsMH+cSyHhT9s08OOgCe08VXeI50tDj+3eHKvkynK6iluvFfyRx0KFB67A0arAshhLix9PR0pk2bRu/evdm1a5exyxFCCCFqjEMH4snOKgSgQ+f6WFmZG7kiUd1JWCXEHejVqxcODg4sX74cBwcHfDy98Es1R7muMbrN3wHUbLUXVqrygxddMSWP0k/0M/8Otq7J+df317PBBBWQpdJj5vjPdMGioiK2b99O27Zt7+XWhBDioVZYWMiMGTPw9/fniSeekLBKCCGEuI/KrAIYLqsAiluTaYBC3AELCwseeeQRVqxYwa+//sqo0Y+ilGjL7NNEVdq/KhsdDVSWhj/Zio4f9KnkoKMOZrhiyp9KTpljD+hzb3htK5Waeliwnzzsmvgbtm/evJk+ffpw6dKlSrxTIYR4eOj1ej788ENMTU2ZNGlSmanbQgghhKhaRYUl7N55BgBbOwvahmiMW5B4IMjIKiHuUL9+/RgxYgQqlYrWrVtTZG+NRVae4XGNyoIwlR1f6JNJpoQGWJJAMf/Tp1IbM+pgjkqlYpzahY/0SfxXl0RHlR0xFLJeybrptUernZmpu8wz8z/nBUdTUlJSeOONN+jXrx8tWrTg6NGjVXz3Qgjx4Pnuu++4cOECn3zyCebmMu1ACCGEuJ/2Rp6jIL90JkrnsAaYm0sMIW5NXiVC3IJOp6OwsJA1a9YQHx9PamoqFhYWuLi40KVLF6zP55K7djtcN8BqgtqdX5V0Nuiz+IFUHDGls8qOMWoXTP7+RL+L2h4VKn7Rp7FDyUGDOc+r3fhIn3TDWtqqbXnb3IeFMacYMGAADg4O9OvXj08//bSqnwYhhHggHThwgK1bt/LRRx9hbW1NcXGx4TG9Xk9xcTGmpqao1VU32Fyr1WFqanLrHauRB7FmIYQQ1VOZVQDDZRVAcXtUiiKdmoW4Xk5ODhcuXOD8+fPEx8eTnp4OgJubGxqNBo1Gg4+PD9bW1gBkHT1FZMgQFO2N+01VFrWlBZoJ47B+aggxMTHExsaSlpaGqakp9erVw9/fH39/f+zsbryqoBBC1CRbtmzhk08+uek+U6dOpX379lVax7QpayksLLn1jtWApaUZ734wwNhl3LXJE1ZQVKi99Y7VgIWlKR9+NsTYZQghRJXJyy3ikZ5fUVyso5aTNSv+eBZTU+lGJG5NRlaJGu9aOHXhwgXi4+NJS0sDSsMpPz8/unXrhkajMYRT/+bQohF2jf3Jjj5V5bUqJSVo/vMoVl7u+Pj4EB4eTlpamiG4+uOPP1i3bh116tQxBFfu7u7Sn0UIUWO1adOmwrBq5syZ1K9fn1GjRuHl5VXldRQWljwwAYoQQghRWXbvPEtxcemH+mHdAySoErdNwipR4+Tm5hrCqQsXLhjCKVdXV3x9fenatSs+Pj7Y2Njc9jkbzZ3Cgd5Pomir7o2I2tICzzEDsfJyL7Pd2dmZ9u3b0759ewoKCjhz5gyxsbHs3buXiIgI7O3t8ff3JyAgAI1Gg6mp/LUXQtQcjo6OODo6lttuZmaGg4MDjRrJdAQhhLiRgoIC3n77bYYPH067du2MXY54AG3b9M8H+rIKoLgT8q5VPPTy8vLKhFOpqakAuLi4oNFoCAsLw8fHB1tb27u+hktoMLaPdCVrzVbUWn1llV6GWS17Aj98/ab7WFlZ0axZM5o1a4ZOpyM+Pp7Y2FhiYmI4dOgQZmZm+Pn5ERAQQIMGDe4okBNCCCGEEDXHli1bWLx4MdnZ2cYuRTygMjPzOXQgHoDa7nY0blrHyBWJB4mEVeKhk5+fXyacSklJAUpHIGk0Grp06YJGo7mncOp6er2e7du3s9fPgRa1HFBl5qCUVO4IK5WZKS1/+gxT29sPl0xMTKhXrx716tWjZ8+epKSkGIKrNWvWAODl5UVAQAD+/v64urrKdEEhhBBCiNuUkJDAr7/+ytGjR8nIyMDa2prFixffsHVEZTlw4ADTp09nw4YNFT4eHx/P/PnzOXnyJACNGzfmqaeewsfH546u06NHD3r06MHkyZPvuWZRM+3cFotOV9oiu2t4Q9Rqea8hbp+EVeKBl5+fT3x8vCGcunr1KgBOTk5oNBo6deqERqOpkqbjeXl5rFy5kvPnz9OtT2+Cnn2ePR2HU5ySXmmB1bWgyqlj67s/h0qFm5sbbm5udOzYkby8PGJjY4mNjWXXrl1s27aNWrVqGfpc+fj4YGIiq0Ddb4qiSGAoxH3y/fffG7sEIcQD7MCBA8yaNYvAwECGDx+Oq6srycnJVdpuIS8vj/j4eBYsWHDDfTIzM5k8eTJ16tRhwoQJAKxevZo33niDr7/+GgcHhyqrT4h/27b5n1UAZQqguFMSVokHTkFBQZlwKjk5GYBatWqh0Wjo0KEDGo0Ge3v7Kq0jMTGRX3/9Fa1Wy5gxY/D19QWg474V7O/9BPlxF9EXFt31+VXmZqhNTWm57HPcenWprLIBsLGxISgoiKCgILRaLefPnyc2NpZTp06xf/9+LCwsqF+/Pv7+/jRo0AArK6tKvf7dCA0NBSAiIuK+X3vJkiWMHz+e8+fPo9Fo7ujY3DwtW3dd5XJyIWoV+Gls6dLeBXOzf5pLFhUV8cYbb9CqVStGjx5dydXfnEajITQ0lCVLltxwn3HjxhEREcGFCxfuW11CCCFEdZWRkcFHH33E4MGDGTdu3G0fV1RURGZmJrVr1y73WHJyMo6OjlhYWNzw+Oeee87woeyN/P777+h0OmbOnGmYRdCqVSvGjh3LH3/8waOPPgqUroKamJhY7ngXFxc+/PDD274nIW4k5WoO0VEJAHj7ONHA383IFYkHjYRVotorKCjg4sWLnD9/nvj4eJKSkoDSprkajYaQkBA0Gs19/aToyJEjrF+/Hnd3d4YNG1bm2pYebnQ6uIqzH37H2fe+ArizUVYqFWpzM5w6tqb5og+wrFP+F5rKZGpqSoMGDWjQoAF9+vQhKSnJMF1w1apVqFQqvL29DU3anZ2dq7Seh0VRsZ7/zj/LH1uTMDFRUVysR6UCM1M1H82LZfTQuowZ6o1areLKlSt8+umnLF682NhlV2jq1Km8/PLLxi5DCCGEqBbWr1+PjY0NY8aMAUpbQqjVt17hbOXKlWzcuJEPP/ywTGCVnJzM5MmTCQ8Pv+mHVlOnTqWkpIRNmzaxadOmCveJioqiefPmZdpd2NjY0KxZMw4fPmwIq2bOnHlb9yrE3dq+JQaldAYgXcMDZPaAuGMSVolqp7CwsEw4deXKFQAcHBzw9fWlXbt2aDSaCld3qmparZb169cTFRVFy5Yt6d27d4XDvdVmZvi/9Tx1hvTi3KeLSPxxLSpTE3QFhRh+av/7GCtL9MXF1AoJwu/Vp3DrG3bff6irVCo8PDzw8PCgS5cu5OTkGIKrHTt2sGXLFpydnQ3BVd26dW/rl7OapqhYz0tvHuXMuVy0WgWttvT/uaKUPgbw/S/xXEos4K0JAcYs9bb4+fkZuwQhhBCi2jh06BDOzs68//77HD9+nNzcXFxcXOjfvz9Dhw694XHDhg3jzJkzTJkyhQ8//BBXV1dSUlJ4/fXXqVevHsOHD7/pdevXrw/A4cOHb7hPYmIi/v7+5bbXrl3b0MNKiPvh+imA3cNl5V1x5+RdpjC6oqIiYmNj2bx5M9999x0ffvghP//8MydPnsTNzY1HHnmEl19+mQkTJvDII4/QokULowRVWVlZLF68mGPHjjFgwAD69+9/y74Etg39aPbte3S/spcmX86g7tMjKHBzBCsLVOZmmFhbYunljvugcALemUCXY+tpv+MnavfrWi0+fbCzs6NVq1Y8+uijTJo0iZEjR+Lt7c2xY8dYsmQJc+fOZdWqVZw4cYKioruf8lhZFixYQOvWrbGxscHKyooWLVrw66+/Gh5fsmQJlpaWREZG0qZNGywtLQkICOD3338nJiaGbt26YW1tTf369fnll1/KnT8yMpKgoCAsLS1p2rQpy5YtK/N4YWEhkydPxt3dk/mfBrN/63hSLm8vs8+hbSM4d+JLjux6hRmTW9G6bVfDFNLx48eXmWa4e/duunTpgrW1NU5OTowdO9awYACUfpI7bdo0fH19sbCwwNfXlzfffJOSkhLDPrm5uUycOBEvLy9sbGxo3bo1v//+e5maSkpK/q7bHRsbG8LDwzl79qzh8XHjxt3x9EchhBDiYZWQkMCVK1fw9fVl0qRJvPvuu7Rs2ZKFCxfy888/3/A4U1NT3nzzTTQaDVOmTCEmJobXX3/d8O+3mZnZPdeWl5eHpaVlue1WVlbk5eXd0bkiIiJ46aWXOHv2LN999x2TJk265/pEzZBwKYPTJ0tnwzQIcMNb42TkisSDSEZWifuuqKiIixcvGnpOXblyBUVRsLOzw9fXlzZt2hhGTlWHwAbg3LlzLF++HHNzc5544gnq1LmzZVfN7G3xGjMQx0HdWeWmZuTIkQQEVP8RNdczNzcnICCAgIAAFEUhMTHR0KT92LFjqNVqNBqNYdTV/Q4U582bx0svvcSMGTOYO3cuaWlpzJkzh9GjRxMcHIy3tzdQGsyMHDmS6dOnU7duXSZPnszo0aOpXbs2//d//8fEiRP54IMPGDt2LB07dsTLy8twjaeffpq3336bli1bsmTJEkaOHEmtWrUIDw9HURQGDRpEZGQktTVjqdPAm7Sk3cQeeRdFX4KbV0/DeZIurMJdMwiv+o/i4GrDihUvMmTIEN5++20GDx4MwK5du+jevTvdunXj119/JT09nalTpxIWFsbBgwexsrJizpw5fPnll3z88cfUq1eP/fv38+abb2Jubs6MGTPQ6/X06tWLkydP8u6779KoUSN++OEHBg0axNatWw19wH755Rd69uzJ999/z5UrV3jllVcYOXIkhw4dun//A4UQQogHRH5+PqNGjSozZa9Vq1bk5+ezcuVKhg8ffsOFaq4FVrNmzWLChAm0adOm0oKqayoa9a7cYGT/zYSGhhp+VxDiTkhjdVEZJKwSVa64uLhMOHX58mVDOKXRaGjVqhUajYZatWpVm3DqGkVRiIyMZPv27fj6+jJkyJB7Wo44PT0dKG0G/yBTqVR4eXnh5eVF165dyczMNARXmzdvZuPGjbi5uRmCK09Pzyr/f3vu3Dlee+01pk6datjm6+tLq1atiIyMNIRVer2et956i6eeegoobZI6atQoJkyYwMSJEwFwd3endevWHDp0qExYNW3aNKZMmQJAr169iI2NZcaMGYSHh7N161Y2btzIG1O/4cDJQAqL9NRya4teV8iFU9/hWqcbKnXpj1xzSxd8A59DpVKjN1Xh4FT6aZOfnx9BQUEAvPHGGwQEBLBu3TrDL7zBwcEEBgayaNEinn/+eXbu3EmrVq0YP348gGEU1rUeahs2bCAyMpI1a9YwYMAAALp27crZs2fZvn274RdQT09P1qxZY/hF+ezZs7z33ntkZ2dX+UIFQgghxIPGwsKiwhHlzZs3Z9euXWRlZeHkdOORJDk5OVy5cgVbW1uSkpLIycm56f53wsbGpsLaCgoKsLGxqZRrCHEr2yWsEpVAwipR6YqLi7l06VKZcEqv12Nra4tGoyEoKAiNRoOTk1O1C6euV1RUxOrVqzl9+jQdO3YkLCzsnvszZWRkABhlGmNVcnR0pG3btrRt25aioiLi4uKIjY3l8OHD/Pnnn9jY2NCgQQMCAgKoV68e5ubmlV7Dxx9/DJRO1zxz5gyxsbFs27YNKH1NXq99+/aGr93d3YHSIOiaa03kMzMzyxw3YsSIMt8PGjSI6dOnk5uby7Zt20qb0ft1IjI6CUVf+gmmU+0OpCRuIS/nPLYODQCwsvVBpSp9LZmZqkhJK/tLZX5+Pvv27WPSpEkoioJWW9qgv169ejRq1IgtW7bw/PPPExYWxpQpU+jUqRODBg2iT58+vPDCC4bz7N69GzMzM/r162fYplKp+PPPP8tcr127dmU+0a1Xr57h/iWsEkIIIcry8PCocCW93NxcgJuu6JeRkcGUKVNwc3Pj008/5f3332fKlCl88MEHlRJYeXp6cvHixXLbL168iKen5z2fX4hbiTubwvlzaQA0be5JbXf5XVLcHQmrxD0rKSkpE04lJiai1+uxsbFBo9HQvHlzNBoNzs7O1Tqcul5KSgrLli0jNzeXESNG0LBh5XwikJGRgY2NTZWENdWFhYUFgYGBBAYGotfrSUhIICYmhtjYWI4ePYqJiQn16tXD398ff3//SgtD4uLi+M9//sP27dsxMzOjYcOGNGvWDCg/9L2ia97OiLlrwdY1bm5uKIpCVlYWaWlpKIrC/41rXOGxxYVp8HdYZW5RdmSdiUnZvxcZGRno9XrmzJnDnDlzyp3LysoKgEmTJmFra8uiRYt47bXXePXVV2nSpAmfffYZ3bp1Iy0tDWdn51uGrP/+pPXa/nq9/qbHCSGEEDVRmzZtWLlyJVeuXMHDw8Ow/cCBAzRo0OCGI5gyMzOZMmUKLi4uTJs2DXNzc6ZNm8b06dMrLbBq0aIFq1evJjc317AiYG5uLidPnmTYsGH3dG4hbsf1o6q6hj9YbU9E9SJhlbhjJSUlJCQkGMKphIQE9Ho91tbWaDQaevXqhUajwcXF5YEJp6534sQJ1qxZg6OjI08//bRhlE1lyMzMfOCnAN4JtVqNt7c33t7e9OjRg/T0dENwtX79ev744w88PDwM0wXd3d3v6jWj1+vp27cv5ubm7N+/n6CgIExNTTl58iQ//vhjpd1PRkaGISgCSEpKwsTEBCcnJxwdHbG1teXLr1fz34VxhhUAr7GyqfjTzKJiPRqvsr/U2tvbo1KpeOWVVxg1alS5Y64Fa2q1mueff57nn3+eq1evsn79et577z2GDBnC1atXcXR0JC0trdyS2kePHkWr1dK6deu7fi6EEEKImmrQoEFs27aNSZMmMWrUKOzt7dm5cycxMTHMnj37hsdt27aNWrVqMX36dMMHl9f6TE6bNo3t27ffdDXB+Ph4tFqtYaR+XFwcUPrhmZ2dHQD9+vVj3bp1TJ8+nYEDBwKwevVqLC0t6du3b2XcvhA3pCiKoV+VWq0irJuEVeLuSVglbkmr1ZKQkMD58+eJj48nISEBnU5nCKd69uyJRqPB1dX1gQynrtHr9WzdupW9e/fSuHFjBgwYUGkjoLQ6Bb0CmVk5NSqs+jcnJydCQkIICQmhoKCAs2fPEhsby759+9i5cyf29vaG6YK+vr63XG3xmtTUVGJiYvjss89o06aNYfuGDRuAyhshtHHjRp544gnDOX/77TeCg4OxsrKiS5cuzJ07l4YN7PD0akx6ZunUveRLG0i7sosGLV4vdz4V0LKpI+61y47qsrOzo2XLlpw+fbpMoFRQUMCwYcPo06cPgYGBtG/fnjZt2vD555/j5ubGuHHjyMrKYsKECWRnZ9OpUyfmzp3L+vXrDVMBFUXhqaeewsvLi9WrV1fK8yKEEELUJA4ODnz++ecsWLCAJUuWUFxcjL+/P3PmzCEwMPCGxw0ZMoT+/fuX+/3SwsKCmTNn3vL3zmnTpnH16lXD99em/k+cOJEePXoApb9rzZkzh/nz5/PJJ5+gUqkIDAxkzpw5D10bClH9nDqRxOXELABatvbGyVn6pIm7J2GVKOdaOHX9yCmdToeVlRUajYYePXrg6+v7wIdT18vLy2P58uXEx8cTHh5OcHDwPd2boiik5ei4kqElu0CPVle63bf1EBR9CX9dLKKOkym1bNQPzXN4p6ysrGjatClNmzZFp9Nx8eJFw6irw4cPY2Zmhp+fH/7+/jRoUDp9LiEhgc8++6zcuQIDA9FoNHz55Zd4eXlRq1YtNm3aZNj3TpdqvpG33noLrVaLt7c3X3/9NTExMWzduhWAPn360LlzZ/r370ejpj3JLmhJdkYMl2IX4+jaBjNzx3LnMzFV8cSjGhwcSl8D27Zto1GjRrRr147Zs2fTp08fRo8ezejRo9HpdMydO5f9+/fz9ttvAxgCstq1a9O+fXsSExP5+OOP6dKlCy4uLvTt25eQkBDGjx/PzJkzqV+/PkuXLuXYsWN88cUXlfKcCCGEEDWRk5MTkydPvuPjbhRI3c4HpN9///1tXcPX1/emI7yEqCplVgHsKY3Vxb2RsEqg1WpJTEwsE05ptVosLS0N4ZRGo8HNze2hDFYSEhL47bff0Ol0PP7442g0mns6X0aejtMJRWh1oK9glWCV2oy0HB3puTosTFU08jLH3rri5Y1rChMTE3x9ffH19aVnz56GkVKxsbGsXbsWgCtXrhAXF8crr7xS7vixY8eyevVqXn75ZcaNG2fom7V27VomTJjA7t27efHFF++5zoULFzJp0iTOnj1LkyZN2LBhA126dAFAp9Px0ksvMXfuXP46up7s7GWYmrtQp94w6jZ4vNy5TE1UvPlyAM0CS1fumzhxIt9++y3r1q0jOTmZ8PBwNm3axDvvvMPQoUMxNzenVatWbN261dAMfubMmVhYWLBo0SLeffddHBwcGDBgAB988IHhed2wYQNvvPGGoRF88+bN2bRpEyEhIff8fAghhBBCCAGg0+nZvqU0rDI1VdM5rIGRKxIPOpXy787Dokpl5ylk5CqU6MDSDFwcVFia398ASKfTlQmnLl26ZAinfHx80Gg0aDQaateu/VCGU9coisLhw4fZsGEDderUYdiwYffU7FtRFM4nl5CQpuVO/lKpAI2bKd6uD2/T9XuRl5dnWN3v7NmzlJSU4OjoaOhz5ePjg4mJccO+q1evsmLFCtLS0ujVqxetWrVCpVIReSCNH367yMnYbMzN1ChASYmekNbOPD7cm8YBsjqKEDXF5AkrKCrUGruM22JhacqHnw0xdhl3TZ5rIYS4/6IOX+TlZ38FoENnP97/eJCRKxIPOhlZdR/o9QqxiQqRJ3RcSFYwUYNKBYoeFKBZPRXtG5ng4XzzFbvulk6n4/Lly2XCqZKSEiwsLPDx8aFr166GcOpWq4ZVZ+PGjbvl8GgfHx8uXLhASUkJ69ev5+jRo7Ru3ZpevXrdc+ARl1TC5YybB1VXEuMZ1TOQ12d9Q++BY4DS18CFlNLjfIwUWKlUKqZPn86MGTOMcv2bsbGxoUWLFrRo0QKtVsuFCxeIiYnh9OnTHDhwAAsLC+rXr4+/vz/169e/rVX9KouiKBw5coSNGzdSq1Ytnn76aWrXrm14vENbZzq0deZyUgGXkwtRq1X4eFnjXEuCSSGEEEII8fDYuumfKYDdezYyYiXiYVGjwqrQ0FB27txZZpuDgwMtW7Zk+vTphuk890Kj0RAaGsqSJUsASM9RWLK5hOx8DH2Lrv33mug4heg4LQFeKoZ3McXM9Majmf59/orodDquXLliCKcuXrxISUkJ5ubm+Pj4EBoaiomJCcHBwSxevPihmQ40depUnn32WcP3M2fO5MiRI6xatcqwzcLCgszMTH799VdSUlIYOHAgzZs3v+drp2ZruZx+ZyOqrqcoEH9Vi4O1CY4293+U0N69e/Hy8rrv171Tpqam1K9fn/r169OnTx+Sk5MN0wVXrVqFSqXC29sbf39//P39cXFxqbJaCgsL+f333zl58iQtW7akV69emJmZVbhvHXcr6rhbVfiYEEIIIYQQD7KSEh07t8cCYGlpSvtO9YxckXgY1KiwCiAoKIivvvoKKA11UlJS+Oabb+jZsyeHDx+mcePGlXat1GyFb34voVhbce+ia649diZRYcFGLU/1unlgVe54vb5cOFVcXIy5uTne3t506dIFjUaDh4eHYeRUUVERe/fuxc/P715usVrx8/Mrcz+urq5YWFgY+vsAnD17lu+++w4LCwuefPJJ3N3d7/m6Op1CTGLxXQdV1yjAqYRi2vlbor7P0y+vf44eFCqVCnd3d9zd3enSpQs5OTnExsYSGxvLjh072LJlC87OzobpgnXr1q20kYOXLl1ixYoVFBYWMnTo0Er9uSGEEEIIIcSD5NCBeLKzCgHo0Lk+VlYyi0Dcuwd3ztddsre3Jzg4mODgYDp06MDAgQNZsWIFarX6pqOV7lRRicKijSUU3SKoup5WD8kZCr/tvnmfBUVRuHz5MpGRkfz000/MmTOHBQsWGEaNderUiSeffJLXX3+d0aNH06FDBzw9Pcu8Ub8W4ri6ut71PT5IFEVh165dfPjhh/z444+8++67+Pv7079/f06cOGHYLyIiApVKxbfffouPjw+1a9dm8+bNjBs3ju7du7N48WL8/f2xsLCgefPmrF+/nuQsreH/cfShP5n0zAD6tfekewtHRvYMZPG899Dr9WXqSU2+wpTnhhDeyplh3fxZ/OUsdDodWl3pKoIajYZx48aVOWbJkiWoVCouXLhg2Hbo0CF69eqFs7Mz9vb2N7yfbdu2ER4ejrW1NbVr12bSpElotf+8zlQqVbWcAngn7OzsaNWqFaNGjWLy5MmMHDkSb29vjh8/zpIlS/joo49YuXIlJ06coLCw8K6uodfr2b17N4sXL8bOzo5nn31WgiohhBBCCFGjbbtuCmC3cFkFUFSOGjeyqiLW1tZYWloamolfWyL+hx9+IC4uDrVaTfPmzZk1axZdu3YFYMaMGfz44488/vjjfP755zg6OnLgwAEASkpKGDP+JX5f9SMADVr0o9uID7Cx/ycYitq5iCMR80m7fBpF0ePk7k+Hfq8T2HYopy4qpGQqXLl4nFdffZW9e/fi6OjIk08+SV5eHn/99Rfz58/HzMwMd3d34uLiiIiIICEhgbp16/LUU0/Rvn17QzgVGhqKl5cXhYWFbN68mU6dOjFv3jx8fX1ZvHhxuVDkYVNYWMjq1avZuHEjS5cupUuXLsycOZOioiJmz55N+/bt2b9/Pw0b/vOD9c033+Tbb7+lsLCQkJAQfvrpJw4dOsTly5cNq65NnTqVoUOH8vvus5haOnL29DEmPtWX0PBBTP/oexQUNq/9me+/nk1dTX269x1hOP/ir2YR3n8Us/77Cyei9vPD/A/R6bQ89fIMEtNurynsjh076NmzJ126dGHRokU3vZ/Ro0fz/PPPM2XKFNatW8fcuXOpX78+//nPfyrvia5GzMzMCAgIICAgwBDuXpsuePz4cdRqNT4+PgQEBODv70+tWrVuec6cnBxWrVrF+fPn6dixo2E67e3S6hSSM7Wk5+rIKdCj1Zc217cwU2FvrcbV3hQnW/VDvaiBEEIIIYR4uBQWlrB75xkAbO0saBuiMW5B4qFR48IqRVEMI0oURSEtLY3PP/+coqIinnjiCQCmTJnCvHnzmDNnDs2aNSMhIcGwfPylS5ewsbEBID4+npUrV/LLL7+QmpqKs7MzAMuWLcPLrw39n1pAXnYKO5a/TcbVOMa+FQHAoW1fs3npRDoNnIr3iA8oyE1nz/q5rPluLJ5+bXFy9ea3Tad5/akOuLq6MnjwYHJzc/nss8/Iy8ujdevWPPHEE3h4eNC7d2/27t3L9OnTadGiBTt27OCtt94iLi6O7777znDfy5YtY9iwYaxevbrMiJqHnV6vZ/78+eTl5REVFUX9+vXZtGmTIWQIDw+nfv36TJ8+nWXLlhmO+7//+z+GDh1a5lxZWVkcPnzYMNXQxsaGLl26ELk7gi49BnIu9i9ah3TlrQ8WGYLC1iHd2LtrI9GH/iwTVrUKDmPKrG8BaNuhB3l52Sz/8StGjHsZterWwQmUvk79/PzYuHHjLe/n6aefZurUqQB07dqV1atXs27duoc2rLqeSqXC09MTT09PunbtSmZmpmG64JYtW9i4cSNubm6GPlf/HoUIEBsby5o1a1Cr1Tz++OP4+vre9vV1eoULV0tITNeiouxISwUoKFYoKNZxNUuHmQk0qGOOi12N+9EshBBCCCEeQPsiz1GQXwJA57AGmJvL77GictS4V9KuXbsqbII8e/Zsw0iUy5cvM3v2bF588UXD41ZWVgwZMoRjx44ZGpJrtVrmzp1L9+7dy5zLwaEWIyeuw9TCDgBrOxeWfzGMc39toV6THmSmnCe41yt0GvDmP8e4aFj0TjAJZ/bi4OzND4u/paioiIkTJ9KsWTM0Gg0JCQl06NCB2rVrU7duXTZs2MDWrVv58ccfGT16NAA9evTA2tqaqVOnMmHCBAIDAwEwMTFh/vz5hqDt+qlkD6uMjAxycnIwNTVl9OjRvPnmm0ybNq3MaBhHR0f69evH+vXryxzbtGnTcudzdXUt0xPrWkPywoI8AMIHPEr4gEcpKirk8qVzJMTHcebUUXRaLSUlxWXO1bVX2WWqO3d/hOU/zONE9H6CO/e6Zf+rvLw8Dh48eNv38+8m+l5eXuTl5d3iKg8nR0dH2rZtS9u2bSkqKiIuLo7Y2FgOHz7Mn3/+iY2NDQ0aNMDf3x8fHx927drF/v37adCgAY888ojh79DtyC/Scyy+iBKtgqJw0/+vigLFWjh5qRhXex0Bnub3vXeZEEIIIYQQd6LMKoDhsgqgqDw1Lqxq2bIl335bOqJFURQyMjLYsGEDb731Fnl5ecyaNYulS5cCkJqaypkzZ4iJiWHt2rUAFBeXDR0qCjXadeqNlbUdJX+v+uffoh9qEzPOn9xOvSY96D7yQwAK87NITz5LetIZLpzaAYBOW3r+S2f2EhzSiRdeeMFwXm9vb7y9vQ3fR0REYGJiwogR/4zYAXjssceYOnUqERERhrDK19f3jt5kP8h0Oh1btmwhPj4eMzMznnzySVJSUlAUpcKG6u7u7mRmZpbZVrt27XL7WVtbl/neMPrm735URYUFfD77Vbb8/jNabQkenhoat2iHqZkZilI2pnByKXt+R6fSKaI52Zmo4OapBpCZmXlH91NR7f/uo1UTWVhYEBgYSGBgIHq9noSEBGJjY4mJieHo0aOG/QIDAwkPD7/joOrIuUJ0d/g0KwqkZuso0RXR1NtCpgUKIYQQQohqKS+3iH2R5wCo5WRNi1Z1jVyReJjUuLDKzs6O1q1bl9kWHh5Obm4uc+bM4aWXXuLixYs899xzHDx4ECsrKxo3boyPjw9AudCholDDsVbtMlN9VGo1VrbOFOZlApBxNY713z/PhVMRmJiY4ewRgJtXaeil/J1SFOSlU8u5/FQjDw8Pw9fp6em4uLhgalr2f+O1AOP6wKKiOh9Gubm5LF++nEuXLuHp6UlmZibm5uY4OjqiUqlISkoqd8yVK1dwcXG552t/8cEkdm5ZzbS5/6N1SFesrEuDjYGdfcrtm5OdWeb79NRkAGo5uaJQOnVNp9OVu7dr7sf91DRqtdoQCLu6uvLHH39gZmaGg4MDp06d4uTJk7i7u7NixQq2bNnC+++/z5QpU8qcIzQ0FIDt23dwPL6IToE2jP2/Nxn//Fs3vO7L43oB8PmSjYZtegWy8vTEp5Sgcbuz1VQiIiIICwtjx44dhnqEEEIIIYSobLt3nqW4uPQ9S1j3AExNa9z6baIK1biw6kZatGiBVqvl1KlTDBkyhGbNmvHXX3/RqFEj1Go169evZ8WKFbd1rrzcTK4fDKHX6yjITcXa3hVFr2fZpwMxMTVn/Nt/4u7TArWJKSmJp/hr70+GY6ztXEhLvVru3GlpaYavnZycSE1NRavVlgmsrly5AlDjAotLly7x22+/oSgKY8eOJS4uzvCYjY0NrVu3ZtmyZUydOtUwdS4rK4t169bRrVu3u77utYEzx4/sJahNZzp16294LOZEFJnpqSj/GsV04M8tZXpYbd+wHEsraxo1a4MKcHCw59KlS2WOiYyMvC/3U5MVFRWxfv16jh07RvPmzenduzcWFhYUFBRw9uxZoqOjiYiIwM3Njblz59K4cWMCAgLw9fUtM734wtUSirW3twzoK1M/rXC7XoGLKVpc7U2xsbz9f/hbtmzJ3r17DaMqhRBCCCGEqArbNp0yfC2rAIrKJmHV3/bu3YuJiQmWlpakpaXx8ssvl1mSfsOGDQC3NXXqyIFtNO+r5drTe/rgSvQ6LZqGXcjPTSUtKZYeo+ZSp94/I7zijpeOqrgWamgahXFw8yckJibi6ekJwMmTJzl37hwdOnQAoEuXLnz44YcsW7bM0LMK4McfS1ch7Nix490+HQ8URVE4ePAgmzZtwsvLi6FDh2JnZ1duv/fff5+ePXvSq1cvXnzxRYqLi3n//fcpKipi+vTpt32tpKQkzp49y/79+wHQFhcB0LBpKyI2rWTNsgX41AsgLuY4P3w3B5VKRWFBfpnz7Nq6Bhe3OrRu35WDkVv5/beFPPHCNGxs7bGyUNGvXz/ef/99Zs+eTUhICOvWrWPbtm2Vfj/iH5cvX2bFihXk5uYyaNAgmjVrZnjMysqKpk2bsnfvXtRqNZ9//jmjRo1i/fr1HDlyBDMzM+rVq0dubi6WVlYkpmvLjK68GY3fjef2K8DF1BIaeVnc9n3Y29sTHBx82/sLIYQQQghxpzIz8zl0IB6A2u52NG5ax8gViYdNjQursrOz2bdvn+H74uJi1qxZw9KlS3nmmWdo2LAh9vb2vPfee5iammJmZsby5ctZuHAhwG01pU5LSeK3L0fQMuw50pPPsmP5VHwbd0MT2BWVSoWDiw+Htn2NvZMXltaOnPtrCwe2fAFASXEeahWMe+ol4g4toWfPnrzzzjvodDreeustzM3/mRLUu3dvwsLC+M9//sPly5cJCgpi586dfPDBB4wdO7ZGjKwoKSlh3bp1HDt2jLZt2xIeHl6m4fj1unXrxtatW5k2bRojR47EwsKCzp0787///a9MMPlveXl5ZGRkkJ+fz8cff0xeXh5mZmaGQKyWnRlqFTw/+QN02hIWfvEuJcVFeHj6MOaZ17kQd4o9EevLTOt7btIHRGxeyW8/fImzqzvPT57D0DHPo9OWkJudwEsvvURKSgpz586lpKSEvn37snDhQgYMGHDP9yPKUhSFvXv3sm3bNmrXrs3o0aNxcnKqcN9FixYRFhbGyJEjmTFjBklJSbz77ruG1QXT0tIwt7BBq9WiNin98Zqfl82s15/gz+3rsLSyomuvYTzzyrtYWpX2Ebt+GuDiee/x/dezK7z22LFjmTFjxk1XIlQURaYBCiGEEEKIKrdzWyw6Xemns13DG6JWS59VUblqXFgVFRVVZmU0S0tL/Pz8eO+995g0aRJmZmasWbOGSZMmMWzYMOzs7AgKCmLXrl307t2b3bt3079//5tcAZ555hnOXspl+ZfDMTExp0nISLoOf9/QKHnYi8vZ/NOr/L7wKUxMLXCp04hhL61gy8+vcSk2knbhz9MzxI2wP/9kwoQJjBs3DltbWyZPnsyyZcsM11GpVKxbt45p06bx+eefk5KSgq+vL7Nnz2bixIlV8wRWMr1eIbdIT36Rgl4PpiZgY6HG2kJ1y8bSGRkZLFu2jLS0tHIjYQCWLFlS7pjQ0FB27dp1w3OGhoai0+lISEhg+/btxMXFcfnyZVq2bEnv3r2pX78+fn5+eHt7Y2JiwosvvkhRiZ79sYXYOzjx9pzFFZ731emlYaSHpw8Rf5UGngOGP1luP7Vazf7dG4jcVsiAAQN4//33cXZ2Njz+755pt3M//z4GSvsaXa+ifWqCvLw8Vq9ezdmzZwkJCaFbt243DDtPnTrF/v37+fnnnwEYN24cb7/9NsXFxXTo0IEOHTqwePFicgv+CaoAViz9mnYdw3nnkx+4eD6WBf99h+ystApfK32HjKNtxx5ltv288GP27drIuHHj8PDwYO/evWUeP3bsGM8++yxPPln+9SSEEEIIIURVuH4VQJkCKKqCSqmp71KrWG6BwicrSyguubPjTNRQx1nFM31MH+pVwLLzdVxK1ZKWowMVXH+nigIqFbjXMsHL2Qwr8/L9es6cOcPKlSuxsrJixIgR99xAPisri7NnzxIXF8e5c+coKirCysoKPz8/w5+KphZeE59SzMWU25/6VRGVChp4mONoWcKhQ4fYv38/eXl5NGrUiA4dOhimg4rKce7cOVatWoVer2fgwIE0aNDgpvu/9tprLFy4kCtXrmBpacmVK1eoW7cuU6dONUy7DA0NJbtAz6eLSqf1hjaxQePXiEWrDhhWj1z+wzzmffg6S9YcxqdeQIUN1q/ZvmE5704ay6wPv+CtSS+UezwlJYU2bdpQt25dtm3bhrm5uYysEqKamjxhBUWFWmOXcVssLE358LMhxi7jrslzLYQQVetqcg7D+n+LooC3jxM//Db+oX7vKoyjxo2sul9srVSM62HKwo0lpcMjVbdukGyiBlsrGNPt4Q2qtDqFs0nFXM3UYch1FPh3xqMocCVDx5V0HRo3U+q6mKFSqVAUhZ07d7Jz5078/f0ZNGgQlpaWd16HVkt8fDxnz57l7NmzpKamolKp8PT0JCQkhPr16+Ph4WEIGG7F28WM9Bw9OYV67ib+Vamglo0ad0cTVCpTOnXqREhICNHR0ezZs4cFCxbg4+NDhw4dqF+//kP7+rgfdDodO3bsIDIyknr16jFw4MCbBpFQ+nr58ccfGThwIIWFhRQWFmJlZUVYWBgLFizg7bffNozI+vf//y49BpZ5HXXu/ghfzplM1IGd+NQLuOE1Y09GMWfqs/Qf9iSjHn+m3OPFxcUMHjwYvV7PihUrykwRFkIIIYQQoqrs2Bpj+J23W8+G8t5EVAkJq6pQXVcVdVXbuaB0xNTUHK3uxn+JTU3A2V7F+HBTrC0fzr/sRSUKR88XUqRVyoVTFbn2A/BCipbMPD1+rnrWrFnNmTNnCA0NpXPnzrf9g1FRFNLS0gyjpy5cuIBWq8XOzg4/Pz9CQ0OpV68eVlZWd3VvKpWKpj4WHIsvJK9QuaMRVioVOFqraVzXosz9mJqa0qpVK4KCgoiJiSEyMpKffvoJNzc32rdvT5MmTW44ZU1ULCMjg5UrV5KYmEi3bt3o0KHDbb2G1q1bR3JyMkuWLKlweum6det45JFHgLKjBAGcXMqO+nN0dgUgJyvzhtdLS03irRdHENC4JS9O+ZBj0dFE5VzE3t7e8GfmzJkcOXKE3bt34+bmdst7EEIIIYQQojJs23zdFMAeMgVQVA0Jq6pQZGQkiecOMGqEP5k6DZEndOQVlo6gujbVrUQHns4qOjYxoZG3CpMHoDFdaGgoO3fuLLNNpVJhZ2dHw4YNeeWVVxg5ciQAGo2G0NBQFi5aXBpUlZQPqt5/6xmOHtzNss2nqIiiQGaejm0XLnLp0iUeffRRli5dWqYfU3Z2NmPGjGHLli1YWFhw4MAB/P39mT17Nk2bNuXs2bNkZWVhYmKCj48PYWFh1K9fH1dX10r7JMDUREULjSUXU0u4mKIFVflRNte7dllfN1O8nM1uWIdaraZRo0Y0bNiQixcvEhkZyerVq9m+fTvBwcG0bNkSC4vbXy2upjpx4gS///47VlZWPPHEE3h5ed32sYsWLcLHx6fCoGrIkCF88803hrDq34PxcrIzy3yfnpoMQK2/Q6t/Ky4uYurLo1Cr1bz76VLMzMwwU+vIzMkhMTGR7OxsIiMj2bhxI0OHDuWPP/5g165d2Nvb4+DgwLlz5wCIj48nMTERe3t7bGxsbnuUoBBCCCGEEDeScCmD0yeTAGgQ4Ia3puKFiYS4VxJWVZH4+Hi2b99Ox44dadzQD4CQQDXxyQoZOQolOrAwgzrOatwcq39A9W9BQUF89dVXhu91Oh2XLl3i008/ZdSoUTg6OtKrVy9WrVqFvb09cUnFtz2iqiIKKuycvRj62LP4eTqUe/x///sfa9euZfbs2dja2hIREcHTTz9NRkYG58+fJyAgAD8/PzQaTZVOl1KrVWjczKntYEpiupakTC06PVyfQeoVMFWDh5MpdWqZYllBT66KqFQqfHx88PHx4erVq+zZs4etW7eya9cuWrduTbt27bC1ta2iO3twFRcXs3HjRqKiomjcuDH9+vW7o6mjycnJbNiwgddee63CHlAjR47km2++4fz586UbFD2Kokf199TfA5FbeOyZSYb9t2/4DZVKRYs2nSq83sczXuBc7F988cNWHJ1cUQGhHdtiYxkMwObNm5kxYwYvvfQSzz33HNnZ2WRlZZGTk0N2djYXL14EYMeOHVy4cAEoDTzt7OzKjMz69x9bW1sJtIQQQgghxE1dP6qqe08ZVSWqjoRVVSAvL48VK1bg7e1NWFiYYbtapcLXXYWvuxGLqyT29vYEBweX296nTx/c3NxYtGgRvXr1IigoiLxCPYfjCu86qLpGrTbhcpYJGo9/zpSXl0dcXBx//vknAEVFRSiKgqurK08//TR+fn44Od3/tN/KQk19D3P83M0oLFHIK9Kj14OJWoWNhQoLs1uvdngzbm5uDBw4kLCwMPbt28eBAwfYu3cvzZs3p3379mVWEKzJkpOTWb58OZmZmfTv35+goKA7ft6///57tFoto0aNqvDxsWPH8tVXXzF16lQSExNRKO2tdu0yMSeO8OG05+jedzinjh9iybz36DN4LF4+9cud69fv/8umtT/x9Msz0Ov0nIg+gLmpCrNscywtLbG3t2fkyJG0adOGcePGkZmZiaIo2NraYmtrS7du3fDx8eHLL79k5MiRNG/enOzs7HJ/rly5QnZ2NlrtPw2Ir42OrCjIcnBwkEBLCCGEEEKw/bqwqqtMARRVSMKqSqYoCqtWrUKn0zFkyJAa98bO0tKyzMgljUZDUNtOvDL9WwBysjKY99EU9uxYj17R03/oeBS9vtx5tm9Yzi+LP+Pi+VisrG3o2LU/z0x4BwfHWpw+d9UwimXu3LksXryY+Ph4AN555x0ef/xxHn30UXx9fVm8eDHjxo2r+hu/AZVKhZW5qsIVDSuDg4MDPXv2pHPnzoYVBI8cOUKjRo1o3779HU11e5goisLBgwfZvHkzLi4uPPPMM7i6Vjzt7laWLFlC48aNadasWZntRUVFnDx5klOnTuHi4sLq1avx8vLCwcEBWytT8otKQ9Uxz7xO7KmjvPH8UGxs7Rn5xCuM/b83K7xW5I71AMz/fAbzP59R5jEfHx9mzJhBRkYG+/bto2XLluWO37Fjh+FrS0tLPDw88PDwqPBaiqJQUFBQYZiVnZ1NcnIyWVlZtx1oXftjZ2dX437uCSGEEELUBHFnUzh/Lg2Aps09qe1ub+SKxMNMwqpK9ueffxIXF8djjz12yxXGHmSKopR5E6vVaklISODdd98lJyeHMWPGGB4rLC6d/qfX65n87ECuJF7gPxNnUcvZlZ8XfcqpYwdxdvvnDfX/vp3Doi/eZeDIZ3jq5elcuXSBhV/O5GT0fr76KYK41GwuX74MwCOPPEKfPn349ttvWbhwIXv37r3rUOJBZmVlVWYFwb1797Jw4UJ8fHxo3749DRo0qDGrdBQUFLB27VpOnz5NmzZtCA8Px9T07n/UnTx50vC1Xq/n3LlzREdHc/r0abRaLb6+vmzZsoVGjRoZeodl5+s4er6IiL/ybnn+z5dsrPBrACtzFa39LFFfN4/0dsJX5TaWpFSpVFhbW2NtbY27e8XDPRVFobCw0DDVsKJAKzs7m5KSkjLntbW1vWGY5eDggK2tbbVZHOD06dPMmzePTZs2kZCQgJmZGYGBgTz22GM888wzmJmZAaX3NX36dGbMmFHlNV24cKFahO1CCCGEENfbtum6UVXhN17VWojKIGFVJbpw4QI7duygU6dO+Pn5GbucKrVr1y7Dm7hrVCoVTZs25bfffqN///4AKH//Adi/ezOnjh/i/XkrCOnSC4Cgtl0Y2TPQcI6crAx++HYOfYeMY8Lbnxq2+zYI5KWx4Wxc/SMDRz5FSEgIW7dupUWLFgD88ccfAIapidd69dQ0Fa0g+PPPP+Pq6kr79u1p2rRptQkJqkJ8fDwrV66kuLiYESNG0LBh5QxNTkpKIjo6mr/++ovc3FxcXFzo0qULTZs2xcGhfA81e2sTvJxNSUjX3rTJ/s2oVBDoZVEmqLrfVCoVVlZWWFlZUbt27Qr3uT7QquhPXFwcWVlZZQItAFtbW8P0wmujta59f21bVb9Wly1bxvjx42nYsCGvvvoqAQEB5Ofns379eiZOnMiGDRv4/fffUalU7N27t9xIRa1OYc+BNFatT+RyciEmJiqaNnRg6ABPGvjeff84Dw8P9u7d+9D/OyKEEEKIB4eiKIZ+VWq1irBuElaJqiVhVSXJzc1lxYoV+Pj4VNiE+WHTsmVLvv22dGpfQkICU6dOpaSkhF9++YVGjRoZ9lMUuPZW+9iRSExNzWjXKdzwuJW1DcGdwjl6qLTn1MljBygpLqJ73xFlrtesVQdq1/Em6uAuHhn5NIpSM0YJ3a1/ryC4Z88e1qxZw44dOx7KFQT1ej27du1i165d1K1bl8GDB1cYIt2JnJwcjh8/TnR0NFevXsXa2pomTZrQvHlzPDw8bjlSzbe2GSU6heQs3R0HVioVNPW2wNaq+k+nu91Aq6ioyBBgXT9KKycnh3PnzpGdnU1xcXGZ4242QutaoHW3o+ZOnz7N+PHj6dGjBytWrChznj59+hAWFsbQoUP55ZdfGDVqVLkefWfO5fLaO8fJydFSotUb/h8nXilk4/ZkWjV3ZNaUQKyt77w+CwuLCnsCCiGEEEIYy6kTSVy5nAVAyzbeODnbGLki8bCTsKoS6PV6Vq1ahaIoDB48uEb0a7Gzs6N169YAtG7dmvbt29O8eXPCw8M5cuRIhVPxcrIysHd0Kvf8OLn+MwUpOyujdJtL+Te9Ti61yc3OBLjnZu01xb9XENy7dy9bt25l586dhhUEH/TpqllZWaxatYqLFy/SuXNnOnfufNd/B4uLizl9+jTHjh3j3LlzqNVqGjZsSLdu3fDz87ujkT4qlQr/OubYWemISypGUW79ulWrwMJMRWBdC2wtH56fIyqVCktLSywtLXFzc7vhfkVFRRVON8zOzub8+fNkZ2dTVFRU5hgbG5ubNoW/UaD14YcfolarmT9/foWPDxkyhMcff9zwWrp+GuAvv25g1Ig+NAn+mISzP5OdfhwTU2tcvcLRNHwaldqUqL8yeW7KQXyctrDsl5+4cOECdevW5amnnmLSpEmG84aGhuLl5UVhYSGbN2+mU6dOzJs3T6YBCiGEEKJauX4VwG7h0lhdVD0JqyrB7t27OXfuHGPGjHng3/jfLTc3N+bNm8eQIUN4+eWX+emnn8rt4+DoTFZmGjqdrsyb/uzMdMPX9g61AEhPTcanXtmhpekpSdTx0gClb+rFnXFzc+ORRx4xrCB48OBB9u3bR7NmzWjfvj0uLi7GLvGOnT59mrVr12JmZsbYsWPx8fG543MoisKFCxeIjo7m1KlTFBcX4+3tTd++fWncuDGWlpZ3XZ9KpaKOkylOdmoSU7VcziidFqhSlQZX117GeqW0P1VdFzNqO5qgriH9xf7NwsICNze3WwZa/w6ysrKyyMnJIT4+nqysrNsKtFasWEFISAimpqZotdoKA6vvv/++whp+WH4JgJioWXj4DMKz/qNkJO/l8rllWNl44u4zgOJiPWuXvUR+9klmvjuDFi1asGPHDt566y3i4uL47rvvDOdbtmwZw4YNY/Xq1WV6AYrKk5KSws8//8ypU6dITk7GxMQEjUbDkCFDZBSbEEIIcQs6nZ7tW0rDKlNTNZ3DGhi5IlETSFh1j86fP8/OnTvp3Lkz9erVM3Y5RjV48GB69erFzz//zDPPPENoaChq1T+jSVoGh7J0wVz+3P47XXoMBKCkpJhDe7aVvnsHGjVrg5m5BVv/WEZQ286Gcx87sofkK5cY9eREzEwxah+fB529vT3h4eFlVhCMioqiYcOGdOjQ4YFYQVCr1bJ582YOHjxIQEAAAwYMwNra+o7OkZKSQnR0NMePHyc7OxsnJyfat29Ps2bNqFWrVqXWa2mmxs/DHN/aZuQVKeQW6CnRlc6RtTJXYWepxsJMVWOa4N8LCwsLXF1db7qQQlFRETk5ORWO0oqPjycpKYns7Gzy8/P54osvALC2tsbe3t4QbF3fR8vJyclw7nPxeVxKzAegtnc/6vo/DoCjS0vSkv8kPXkv7j4DyEw5QMbVQ7TqNJ1XX30NtVpFjx49sLa2ZurUqUyYMIHAwNJ+fSYmJsyfPx8bm9Lh9DW1515VOnPmDAcOHKB37974+flRXFzM+vXreeedd5g9ezZBQUHGLlEIIYSotqKjEkhLLV04qF17X+zs7v7DXCFul4RV9yA3N5eVK1ei0Wjo0qWLscupFj777DOaNm3Kiy++SFRUFAAmfwdLrYLDaNOhOx9Nf57MtBRq16nLiqVfk5mRiqNT6RtPewcnHn3yVb7/ejZmZuZ0COvLlcR4Fn35Lhq/RvR65DEcrR/eBuH3k6WlJR07diQ4OJhjx46xZ88eFi5ciLe3Nx06dKjUFQQVvQ5dTjq6/Gx0edmg14JKjdrSFhMbB0zsaqE2u70eWikpKaxYsYLU1FR69+5NmzZtbrvOvLw8/vrrL6Kjo7ly5QqWlpY0adKEZs2a4eXlVeVhkVqtws5Khd0D0IvqQWZhYYGFhcUNRwumpaXx7rvvEhQUxJgxYwxB1unTp8usZArg4ODAK6+8AkBkZCQpOU24FsHbOTYue11LV/S6QgCy0o6CSo2NY2fi4vMMDdcfe+wxpk6dSkREhCGs8vX1NQRVomo0btyYRYsWYW5ubtjWrl07RowYwZ49eySsEkIIIW7i+imA3Xs2usmeQlQeCavukl6vZ+XKlTWqT9XtCAgI4OWXX2bu3Ll8+eWXAFhbqFCrSqc6zfzsZ779dCqL5s2iuKiQsF5D6Dd0PH9uX2c4x/jn38LJpTarfvqGP1Yswd7RidDwwTz54jSsrK2p4yQv28pkampKy5Ytq2QFQX1xIcVJ5ylJTcDQgVrRGx7XZaVSolaDXo+JoysW7vUwsXWs8FyKohAVFcXGjRtxcHDgqaeewt3dvcJ9r6fVaomJieHYsWOcPXsWAH9/fzp16kSDBg3uukG3eHA5Oztja2tLcnJymRGx7dq1o2XLlobvp0+fzvHjx3n88ceZMWMGXl5emJo7oOgTADAx+XfAqkL5+/WtLc7GzNwBM3MzcnL+WQnx2ms2MzPTsO1GjelF5alowQWVSoWiKJU+klIIIYR4mJSU6Ni5PRYAS0tT2neq2bOJxP0j79Lu0q5du7hw4QJjxozB1vbulyh/EEVERNz08Y8++oiPPvoIgAkTJqDVKeyLLQAFLK2sefnNj3n5zY/LHPPilI/KfP/IiKd4ZMRT5c5tba7CwVrNjBkzmDFjhmH7v7/XaDQod7oEWw2nUqlo2LChYQXByMhI1qxZw/bt2wkODqZVq1a3vYKgoiho0xIpjD8JKNx4OTwF9DoAdJlXyc9MwcytLhaeAaiuC8gKCwtZt24dJ06cICgoiF69epUZIVHR9S9dukR0dDQnTpygqKgIT09PevXqRePGje94yqB4+DzyyCOsXbuWnJwcQ69BCwsLw8IRAK6urqjVanx9fQHw8fHBo159InafvOX5Tc3tKSnOoqSkBCvLf17LV65cAXgge8Q9LAoLC0lKSuKHH37A1dWV/v37G7skIYQQoto6tP8C2VmlI8c7dK6PldWNfwcXojJJWHUXzp07x86dOwkNDTW8iRE3ZmqiIqCOOacSi2+cWdwGFdCoroX09bkPvL298fb2JiUlhT179rBt2zZ27dp1WysIKopC4fnjaDOSyoyiuj0KJSkJaLPSsG7YFrWZBQkJCaxYsYKCggKGDBlCkyZNbnh0eno60dHRHDt2jMzMTBwcHGjbti3NmzfH2dn5DmsRD7M33niDlStX8sQTT7B06dJy4WdBQQHnzp0rd1y7lrX4+jbOb+/UnMS4n8lIjqC+b6hh+48//ghAx44d76F6cbd0Oh2DBg0CoF69erzzzjs1dmEUIYQQ4nZs2xxj+FpWART3k4RVd+han6p69erRqVMnY5fzwHB1MCUzX8/ltGJQ3fmUSRUQ4GmOjYVMt7yfXF1dDSsI7t+//5YrCCqKQuGFuw2qrp1Ej1KcT/7p/RzLUrFtRwQeHh48/vjjFU7XKSgo4MSJE0RHR5OQkICFhQWBgYE0b94cb29vCTdFhRo3bsxPP/3E2LFjadGiBc888wxNmzZFq9Ua+rclJSUxefLkMsc1b+yAo4PZLc9fy60dji5BxB79mM8+syMoKIidO3fywQcfMHbsWEO/KnF/mZiY8Mknn5CdnU1ERATPP/88b7/9dpkRdUIIIYQoVVhYwu6dZwCwtbOgbYjGuAWJGkXCqjug1+tZsWIFKpWKQYMGSZ+qO2SpvcrF2LPU9W+N6g4CK5UKAuqYU9tRXq6V5fTp08ybN49NmzaRkJCAmZkZgYGBPPbYYzzzzDOYmZV9M25vb0+PHj3o1KkThw8fZt++fURFRREQEECHDh2oW7cuANr0y2jTbz+oajJgLB1bNuObGa+WfUBR0BbkYZ6eTkhICGFhYWX6Zul0Os6cOcOxY8eIjY1Fr9dTv359hgwZQkBAQLn6KxIREUFYWBg7duwgNDT0tuoVD5eBAwdy7Ngxvv76axYsWEB8fDx6vR4/Pz9GjBjBs88+S4MGZZdmVqlUjBzoxc71Nz+3qYmKDuEf4+v0O59//jkpKSn4+voye/ZsJk6cWIV3JW6lUaPSxrDt2rXj+eef5+uvv2bhwoVGrkoIIYSofvZFnqMgv7T3ZuewBpiby/sxcf/Iq+0O7Ny5k/j4eB5//PEa16fqXmVnZ/Prr8uoVasWTb3bczZJR5FWueG0wGtjYeys1DT0NMdKRlRVmmXLljF+/HgaNmzIq6++SkBAAPn5+axfv56JEyeyYcMGfv/99wpHJFlaWtKhQwfatWvH8ePH2bNnD4sWLaJu3bp0CmmHe0Hi3Y+o+hcTtQr/Os5Y12+GiYkJiqJw+fJloqOj+euvvygoKMDd3Z3u3bvTpEmTO/472bJlS/bu3SsjXGo4Hx8fPvjgAz744IOb7nd9D7xnnx5Ao8ZXmf7RKdRqFcXFpa/5pu0/B8DCXI2jgxlfzG5OHfcwvvjikxuet6IegNJz7/7x8PBg//79xi5DCCGEqJa2brpuFcBwWQVQ3F8SVt2muLg4du3aRVhYGBqNxtjlPFBKSkpYtmwZarWa4cOHY2trjpOdQkaenqQMLdn5eoq0/7wxszJX4WijxqOWGXZWElJVptOnTzN+/Hh69OjBihUryqyE16dPH8LCwhg6dCi//PILo0aNuuF5TE1NCQoKokWLFsTGxhIZGUl89D5c63lgUokjDlVA/sVTHD12mmPHjpGWloadXemUqubNm+Pm5nbX57a3tyc4OLjSahU1S5f2rixfYM+aTVdYvf4yGVklmKhB423DyEFedO3ohoW5/PyqLlJTU8tNWy4oKOD06dPyb7oQQghRgdzcIvZFlvbvrOVkTYtWdY1ckahp5Dfp25CTkyN9qu6Soij8/vvvXL16lZEjRxpGv6hUKpxsTQisa0FwgBWdA63o1Kj0v20bWOFfx0KCqirw4YcfolarmT9/fpmg6pohQ4bw+OOPG6a4qlSqMqssQunKi9dGXalUKgICAtBptUx6dw6eXQbj1vEROjz6PCu37Cpz3F9nzvPI82/i0XkQjfuPZdmG7eWun5aZxcQ582jcfyzOIf3x7jaMR196gz07tuLp6cmYMWOYMGEC0dHRBAcHY2VlRYcOHQwjwa6NUpkxY8b/t3ff0VFVax/HvzOTnkAKJKH3IkR6R4XQRZp0URSxi/jKhUuXJkVBxS4KNuyIIEWkl4DSEUGlCAgBAkkgjfQyM+8fuRmJSSB9Evh91soic84+ez97JnPCPNmFOnXqsG7dOho3boyzszP16tVj6dKltrZ27NiR6RqRvCpfzpnHH6zB2i/bs3N1B3as6sDSd1rSs3MFJapKmPfff59x48axZs0a9u/fz4YNG/jvf/9LVFQUzzzzjL3DExERKXF+DjpNSkr6rt2dutbHwUH/t5HipZFVN5GxTpXJZGLAgAFarDmPdu/eze+//87AgQOpWLFijuUMBgN6aoveqlWr6NKlyw1HJF2f0MmN9957j//7v/9j8lPDmfvCE0TGXOONpct5YtoCWjW6g6oV/LgUfpWeT42nZpWKfDR7AtfiE5jx7ieER0Tb6rFarQwaM4Ooa7HMHD2SCuV9OHryDHM//IJEi4FJM14C4KWXXmLWrFmMHz+ezp07s2HDBoYOHZolrsuXLzN69GhefPFFqlevzquvvsqjjz5KmzZtuOMO7WQihcto1A2sJOvRowcbN25k9erVRERE4OHhQc2aNXn22WcJCAiwd3giIiIlztaNx23faxdAsQclq25ix44dnD9/nhEjRuDu7m7vcEqVU6dOsWXLFu6++27uvPNOe4dz24uKiiIqKop69eplOZeWlpbpscFgyLSg+Y38/fff/OfZJ5g4cqBtvarqlSrQ4eHn2XvkGFUr+PH+N6tITUtjxVuz8fXxAqBOtcp0GfkfWz2hVyNxd3Vh7gtP0L5Z+s/LPS0ac+5SKJ+uXA9AfHw8r7zyCs8995xtjaHu3buTkJDAhx9+mCmuhIQEPvroI7p06QJAvXr1qF69OuvWrVOySuQ206ZNG9q0aWPvMEREREqF6KgEDu4PBsC/QhkCGlWyc0RyO1Ky6gZOnz7Nrl276Ny5M9WrV7d3OKXK1atXWbFiBfXq1aNz5872DkdIHyWYndOnT2fZ8ax69eqcO3cuV/W+/vrrJJ49SkTwKc6cD+H0+RCCDvwGQEpq+u4hu3/7g9aNGtgSVQCt7kwfdZWhom85flyUnoC6EBrO3xcuceLsefYdOWarZ8+ePSQmJjJ48OBMMQwbNixLsgqgXbt2tu+rVKkCpCe8REREREQke0Hb/sJsTl9TuHP3OzSCXOxCyaocXLt2jR9++IE6depw99132zucUiUpKYlvv/2WsmXLaupkCVKuXDk8PDyyJKGqVq3KgQMHbI9nzZrF77//nut6z5w5wxOPPEnQngM4OpioV6MqAXVqpp/837r5UdfiqF6pQpZr/ct7Z3q8bP02Zr33GRfDruDtWYbGdWvh6uJsO3/lyhWALNMYK1TIWjeAm5ub7fuMdbhyStqJiIiIiIh2AZSSQcmqbFy/TtX999+vZEseZDx38fHxPPnkkzg7O9/8Iik2/fr1Y82aNcTGxlKmTBkAnJ2dadmypa1MuXLlMl1jNpszPY6Li7N9b7FY6NWrF45Y2PbpGzSpXwcHBxMn/g7OtIB6Oc+yXImMzhJPZEys7fs9v/3B0zNf5+khffi/4QOp7O8LwLS3P2bPb38C/4yOCg8Pp379+rZrw8PD8/Q8iIiIiIhIVuFhsRz97SIA1ar7UKeer50jktuVlvTPxvbt27lw4QKDBg3SOlV5tGXLFs6cOcPgwYPx8fGxdzjyL5MnTyYtLY3HHnuMlJSULOcTExP5+++/bY/Lli3LhQsXMpX55ZdfbN9fvXqVkydP8uiDQ2lxZwMcHNLXudq8+yAAlv+tYdWxVVP2HT3GpfCrtmtP/B3MuZBQ2+N9R49jsViY8vTDtkSV2Wxm+75f0+uyWGjatCmenp6sXLkyU0wrVqzI+5MhIiIiIiKZbN9yEuv/Zkd06XGHBm6I3Whk1b+cOnWKn3/+mS5dulCtWjV7h1OqHDlyhD179tCjRw9q1apl73AkGwEBAXz99deMGDGCpk2b8tRTT9GoUSPS0tLYvXs3H3/8MaGhoUyYMAGA3r178+2339KmTRvq1avH0qVLOX36tK0+Pz8/atSowQdLv8LfFbw83Nm69xDvf7MKgPjEJABGDbufL9ZspP/zLzLl6eGYzRZeWrQUJ8d/bkEtAtJHSv13wfs83Lc70dfiWLx8Lb+fOpteV3w8ZcqUYcKECUyfPh03NzcCAwMJCgpi0aJFwD9T/UREREREJO8y7QLYTZsSif3ok911YmJi+OGHH6hbty533XWXvcMpVUJCQli7di1NmzbVjksl3P3338/Ro0fp27cvH330Effffz8DBgzghx9+YOjQoRw/fpx58+YBsHDhQvr27cuECRNsIw0zduHLsGrVKipXqcqzM19nxOSX2f/7Cb59fSb1alS1Td8r51WWjUteo0blCjw7ayETX/+AJwb15s66NW313NOiMa9PeI59R48x8IVpTH5jMVX8ffnq1ekA7Nq1C0gfHTZz5kw+//xzevfuzc6dO5k/fz4AHh4eRf78iYiIiIjcii5eiOLE8TAA6tb3o1oNzZQR+zFYrRmD/G5vZrOZpUuXEhMTw9NPP51pYWa5sdjYWBYvXoyXlxcjRozAwUED9m5H1/46hDUmHGMhDxU2ODjh3qQTBoOBtLQ0vv76azp16kTVqlVtZd577z3+7//+j4iICLy8vAq1fRGRwjBhzAqSk9LsHUauOLs4sODNgfYOI9/0XIuI5M/Sj/fw8QfpS348+38dGPZwaztHJLczjaz6n23btnHx4kUGDRqkRFUepKWlsWzZMoxGI0OHDlWi6jaUnJzM1q1b+eqnHRR66ttgxLFibdtceQcHB+bPn0+/fv1YuXIlO3fu5J133mHq1Kk88sgjSlSJiIiIiOSD1Wpl63W7AHbWFECxM2UWgL/++ovdu3fTtWvXTKM15MasVitr164lLCyMkSNHagrWbcZsNnPo0CGCgoJISUmhbdu2OFaohOXKBfjfwuoFY8Do6oGTX+a143788UcmT57Ms88+S3R0NNWqVWPs2LFMnjy5ENoUEREREbn9/H3mKufORgDQqEll/CuUtXNEcru77ZNVMTExrFq1inr16tG+fXt7h1Oq7Nmzh6NHjzJgwAAqVapk73CkmFitVk6cOMHWrVuJiIigadOmdOrUibJly2K1WEiIi8KSGFfwhJXRiGutpll2IKlZsybffvttweoWERERERGb60dVdemuUVVif7d1sspsNvP999/j6OhIv379tC1nHpw+fZotW7Zw11130ahRI3uHI8XkwoULbN68mQsXLlC7dm0GDx6Mv7+/7bzBaMStXisSTu7HkhSfz4SVAYwm3O5ojdFFU3JFRERERIqS1Wpl66b0ZJXRaCCwSz07RyRymyertm7dyqVLlxg5cqTWqcqDq1ev8v3331OnTh06d+5s73CkGERGRrJ161aOHTuGv78/w4cPp3bt2tmWNTg44nZHW5IvniD16kXytJCVwYjRrQyutZpgdNZ7UkRERESkqB3/M5TLl2IAaN6qGj7l3O0ckchtnKw6efIke/bsoXv37lSpUsXe4ZQaSUlJfPvtt5QpU4YBAwZgNGqN/ltZQkICQUFBHDx4EA8PD/r160fjxo1v+robTCZcqgfg4FOR5IsnscTHgMGYw0grAxgMGBwccapUB8fyVTTKUURERESkmGzZeNz2vaYASklxWyaroqOjWbVqFfXr16dt27b2DqfUsFgsrFixgvj4eJ544glcXFzsHZIUkdTUVPbt28fPP/+M1WolMDAwfQF1R8c81eNQxgeHBu0wJ8aRFh2GOS4KS0IsVosFg8GAwdkNUxlvHMqWx1TGR0kqEREREZFiZDZb2L7lJACOjiY6dKpr54hE0t12yaqMdaqcnZ21TlUebd26lTNnzvDQQw9Rrlw5e4cjRcBqtXL06FG2bdtGXFwcLVu2pEOHDri7F2wosMnVA5OrdosUERERESlJjhy+SMTVeADatK9JmTIakCAlwy2RrEo1W7kSYyYmwUxcogWzFUwG8HA14ulmxLesA44O6UmpLVu2cPnyZUaOHImrq6udIy89jh49yu7du+nevXuOaxVJ6fb333+zefNmQkNDadCgAV26dFFSUkRERETkFpaxsDpoCqCULKU6WZVqtvJ3aAph0WYMBrD8ax3nhBQzV6+ZOX05FT8vE5Zrwezdu5cePXponao8CAkJYc2aNTRp0kTTJm9BYWFhbNmyhdOnT1OlShUee+wxqlatau+wRERERESkCKWmmgna9hcALi4OtL+nlp0jEvlHqU1WRcWbOXYhGbMFrOS84VhGAis8Oo2UlPI0bnEXbdq0KbY4S7vY2FiWLVtGxYoV6d27t6ZN3kKuXbvG9u3bOXLkCN7e3gwePJgGDRroNRYRERERuQ0c3HeOazFJANzVoQ6urk52jkjkH6UyWRUZa+aP88lk5KesVutNP2BbMeDo5EK5mu2JjLNQroyp6AMt5dLS0li2bBkAQ4YMwcGhVP64yL8kJyfzyy+/sGfPHpycnLj33ntp0aIFJpPeEyIiIiIit4utm07avtcUQClpbrz/fD4dPHiQhx9+mGrVquHq6kqtWrV48skn+fvvvwtcd2KKhT8upCeqUlKSeW/BRLasW5br663Aa29/hMFg4Ny5cwA8+uij1KhRo8Cx/dtnn32WqZ3SxGq18uOPPxIaGsrQoUMpU6aMvUOSAjKbzRw4cIC3336bPXv20LZtW55//nlat26tRJWIiIiIyG0kKSmVXUGnAPAo40zrdjXsG5DIvxR6suq9996jXbt2hIWF8corr7B+/XqmTJnCzp07admyJb/++mu+67ZarRy/mGKb8hdxJZTln79LWlpq3uq5rr6i1KtXL/bs2UPFihWLtJ2isHfvXo4cOULfvn2pXLmyvcORArBarZw4cYJFixbx008/UbduXUaPHk2XLl1wcdFuHyIiIiIit5s9P/9NYkL65+gOneri5KRZNFKyFOpP5C+//MILL7zA6NGjefPNN23HAwMDuf/++2nevDkjR47kyJEj+ao/JsFCXJKlkKKFawmFV1d2fH198fX1LdI2isKZM2fYvHkz7du3p3HjxvYORwrg4sWLbN68mfPnz1OrVi0GDRpEhQoV7B2WiIiIiIjY0fW7AHbt3sCOkYhkr1BHVr366qt4eXkxb968LOfKly/PwoULGThwILGxsZjNZubPn8+dd96Jq6sr7u7utG/fnm3bttmuSUpK4rnnnqNKlSo4OzvTrElDvv30LQAuhwQzrEdDAOa/+AxDr3uDHT30Cy882oMeLcvTp30VXp7yJNGRV7LEdDkqLdt+JCYmMnnyZOrWrYuzszNly5alW7du/Pbbb7Yyjz76KF27duXTTz+lXr16ODs706RJE3766SdbmdI4DTAiIoLvv/+eOnXq0KVLF3uHI/kUGRnJ8uXL+fjjj0lOTmb48OE8/PDDSlSJiIiIiNzm4uKS2ftL+hI9Pj5uNGupncCl5Cm0kVVWq5WNGzfSt29f3Nzcsi0zaNAg2/fjx4/nvffeY/78+TRu3JiLFy8ya9YsBg0axIULF3B3d+eFF15g06ZNvPbaa/j7+/PRV2tZ9NoUynr50OW+Icx+8xumjRnGw09PpEPXvgAcOfgz457oTfO2gcx47QtiYyL55N3ZjHmsJx9+uwtnF1dbDNcSLdlOBXzkkUcICgrilVdeoXbt2vz1119MmzaNBx54gOPHj9sWcz948CCXLl3ipZdewtPTk2nTpjFo0CBCQkLw9vYurKc236zmNMzxMVgSrmFNSwHA4OCE0d0Tk1tZDKbML39SUhLffvst7u7uDBgwAKOxSJY0kyKUkJDAzp07OXDgAO7u7vTr14/GjRvrtRQREREREQB+DjpNSooZgMCu9TGZ9FlBSp5CS1ZFRESQlJREzZo1c1X+0qVLzJs3j+eff952zNXVlYEDB3L06FHatWtHUFAQXbt25YEHHiApxYLRrw0urh54epXHycmZOg2aAFCpak3qNmgKwJI3Z1C1Zl1efm+FbdHohk1aM6JfC3764XP6D3va1p7FCkmpmZNVKSkpxMbG8s477zB06FAAOnbsSGxsLOPGjSM0NNS2BlVMTAyHDh2idu3aALi7u9OxY0e2bdvGwIED8/EsFo602EhSws5hjg4Hw/9uPNb/TXm87rGDtz9O/jUweXhjsVhYuXIlsbGxPPnkk1rLqJRJS0tj37597Nq1C6vVSmBgIG3btsXR0dHeoYmIiIiISAmydeNx2/faBVBKqkJLVmWM3DCbzbkq/9VXXwFw9epVTp06xcmTJ1mzZg2QnjAC6NSpEx988AEhISF07dGLKgFdeOSZSTnWmZSYwLGj+xk6cgxWq5W0tPRpfhWr1KR6rfoc3LMtU7LKaIDUtMzJKicnJzZs2ADA5cuXOXXqFCdOnODHH3/MFBukr0mVkagCqFKlCgDx8fG5eg4KmyU1heTgP0iLuYJtFXrrv9bluu5xWlQYadHhOHj5sffcVU6fPs2DDz5IuXLlijFqKQir1crRo0fZvn07sbGxtGjRgo4dO+Lu7m7v0EREREREpISJjkrg4P5gAPwrlCGgUSU7RySSvUJLVvn4+FCmTBmCg4NzLBMfH09ycjI+Pj4cPHiQUaNGceDAAVxdXQkICKB69erAP7v0vfnmm1SpUoUvv/yScWNGAxDQpA1jXlxoG0l1vdhr0VgsFr75eCHffLwwy3lnZ9dMjy0WC5cuXcqUgALYuHEjY8aM4cSJE5QpU4bGjRtTpkyZTLEBWaY7ZiTsLJaiXbg9O+b4GBL+OgAW8z+JqtywWkmJCiPANRXPbp2oU6dO0QUphervv/9m8+bNhIaG0qBBA7p06aJEo4iIiIiI5Cho21+YzemfFzt3vwOj0WDniESyV6i7Afbo0YPt27eTlJSU7TSyTz/9lBdeeME2Ta5x48b88ccfNGjQAKPRyE8//cSKFSts5Z2dnZk6dSpTp07lzN/BvPPJSj7/4BVmT3iMz9f+mqV+d48yGAwGBj8yms49h2Q57+KaOVmFwcjK77/l2LFjxMTE8P7775OamsqECRPo2LEj77//Ps2aNcPT05NFixbZRlyVNOaEaySc3J+eqMoHI+Ds6EBdUxLmxFhMrmUKN0ApVOHh4WzevJnTp09TpUoVRo4cSbVq1ewdloiIiIiIlHBbNmoXQCkdCjVZNW7cOFasWMHUqVN5/fXXM50LDw9nwYIF1K1bFxcXFyIiInjhhRcICAiwlVm/fj2QPjIpMTGRJk2a8PTTTzNu3Dhq16rOkOFPE3L+DD9+/xkAJqMpUxtu7mWo26Ap5//+izvubG47npyUyIyxw2nboQc1av/zhnQwwdNPPsbB/XsICwujRo0arF+/npSUFOrUqcPOnTvZuXMnJpOJZcuWAbBjxw4CAgKIjY3FYrFgsVjssni11WrFYDBgNaeReOpQvhNVGYwGA1jMJJ46hPud92D413Mr9hcbG8v27dv57bff8PLyYvDgwTRo0MC24L+IiIiIiEhOwsNiOfrbRQCqVfehTj1fO0ckkrNCTVa1bduW2bNn8+KLL3L8+HFGjBiBr68vf/zxB6+99hqxsbH89NNPVK1albJlyzJ37lwcHBxwdHTk+++/5+OPPwbSpwu6urrSokULZs2ahZOTE40bN2bnvj/YsPorOna/HwD3MmUB+HXvDqrXuoOGjVvx5AszmThqAHMmjqRrr6FYLBaWffYWx44e4OGnJ2aK18fDSLly5ShbtizOzs7cd9991KtXjw8++IAzZ87QpUsXIiIi+Oabb/jzzz8BOHnyJBcuXODMmTNcu3aNefPm4e3tjY+Pj206YXh4OFFRUfmaDvjHH38wZ84cduzYQWRkJOXKlaNDhw5MmjSJZs2aAfDLL78wb9481q1bR/KFk1jTUvP1emXHmppC8sWTuFRrmOtrZs6cyaxZs7LdWVEKLjk5md27d7Nnzx4cHBzo0aMHLVu2tG0gICIiIiIicjPbt5y0rRjTpccd+qO3lGiFmqwCmDp1Ks2bN+fdd99l7NixREREUKVKFXr27MnUqVNt05VWr17N+PHjGTx4MGXKlKFZs2bs3LmTnj17smvXLvr06cPixYt58cUXee211wgNDcXX149eA0bw2OhpALh7lGXIiOdZ890n7Nm5gR+CztLqrq68+uFqli56mRljh+Pg6ET9hk15/aMfCWjSOlOsFbyy7pRWp04dvvnmG2bOnMnw4cPx8fGhbdu27Nixg8DAQKpWrcozzzzDsWPHuHr1Kt27dycyMpLIyEjOnTsHwO7du0lMTOTIkSO2vtavXx8fHx/bl5eXV5YRWX/++Sft2rWjdevWvP322/j7+3Px4kXeeecd2rVrx44dO2jbti1Llizhzz//xJKcSOrVC4X7AlotpIZfwKlCLYxOudsR8IknnuDee+8t3DgEs9nMr7/+SlBQEMnJybRp04a7775bOzWKiIiIiEieZdoFsJt2AZSSzWAtZcNhTlxMJvyaOU9riP+b1WLGz9OBhtVcb144jywWCzExMbYEVkREBFFRUURGRhIVFWXbLdFoNOLl5ZUpgfXaa6+xd+9eTp06lSkhER8fzx133EHjxo1Zt24djz76KDt27ODEzxtJDQvOuuNfQRmMOFWoiXPluoVbr+SK1Wrl5MmTbNmyhYiICJo0aUKnTp3w9PS0d2giIpJPE8asIDkpzd5h5IqziwML3hxo7zDyTc+1iEhWFy9E8eCA9JlMdev78fGXj9g5IpEbK/SRVUWtTkUnouITScnv/0GsVlJTkvhl01oqDRqAl5dXYYaH0WjE29sbb29vateunemcxWLh2rVrtiRWRgLr77//5tChQxw5coTY2FjmzZtH+fLlMyWyxo8fj8lkYsSIEXz++ecAuFa9g0XTx3J3i8Y06vco88Y8yWerNhAeGcXLY57ioT7d+PXYX8xe9Dm/Hv+LtLQ07mrWiFmjH6NB7fSdF+97egI///p7tn359NNPARg5cmS25zt27MiOHTs0DbAQhYSEsGnTJs6fP0+tWrUYNGgQFSpUsHdYIiIiIiJSim3ddN3C6j00qkpKvlKXrHIwGWhSw4XfziaRZoa8pEcMgMnBQE1vK8fiY1m8eDGDBg2iVq1aRRVuJhmjqby8vLK0abFYcHNzY9y4cSxfvpwuXbpQs2ZNYmJiOHz4MGlp6dk5b29vGjZsyKVLIXy/cAa1qlQkPjEZgJcWLeX1CaPw9PCgWcO67Dx4hP7Pv8jdzRvx/rT/kJySyuufLqPb42PZ9tmb1KtRlYUTn+NafIItDrPZzNMzXyc1NY17u3fD5OjEnj17MsW6dOlSPvjgA5588skifsZuH1FRUWzdupU///wTPz8/HnroIWrXrq155CIiIiJiN4mJibz44osMGTKENm3a2DscySer1crW63YB7KwpgFIKlLpkFYCbs5EWtV04diGF2CRLrqYEGgxQxsVIg6pOuDi68dRTT7FixQq+/PJLunbtSrt27eyaGDAajYwdO5bo6GheffVV3nvvPQDKly9Pjx49GDlyJLVq1SIyMpJjx44RceUKzRvWx8FkJD4xDIC+ne7i4b49bHU+MmkeNatUZOXbs22LcXdu25ym/R9n3odf8tnLk7mjVvVMcfznlXcJuxrFho9ex7esGyYPb3x9/9kl4ueff+aTTz5hwoQJPPTQQ0X9tNzyEhIS2LlzJwcOHMDd3Z2+ffvSpEkTu+wwKSIiIiKSYfPmzXz66adcu3bN3qFIAf195irnzkYA0KhJZfwrlLVzRCI3V2o/ETs7Gmla05n6lZxwdTJgAIz/yjUZDemjqVydDNSr5ETTms64OKZ32dXVlQcffJD27duzefNmVq5cadvNz55eeuklLl26xNdff83jjz9O2bJl+eqrr+jWrRtr1qyhRYsWVKpUCRcXFxwcMy8QH1Cnhu37+MQkfj32FwO6dci0a5xXGQ/uvbs1Ow8dydL2R9//yMcr1vHutDE0a1gP6//W18pw/vx5Bg4cSJcuXXj55ZcLt+O3mbS0NH755RfefvttDh8+TMeOHXn++edp1qyZElUiIiIipcjhw4fp06cPr7/+erG0t3//fnr27Jnj+eDgYF588UUGDBjAgAEDmDZtGsHBwXlup1u3bnz99dc0bJj7XcKlZLp+VFWX7hpVJaVDqRxZlcFgMODv5YCfp4mEZCvXEi3EJ5lJs4CDEdxdTJRxNeLubMh21JTRaKRr165UrFiR1atXEx4ezgMPPIC3t7cdevMPb29vhg0bxrBhw4D0X4APP/wwEydOZPjw4Tle5+fzT9wxsXFYrVb8y2Xti385b2Ji4zMd23XoKBNe+4CxI4YwuEcgYE0fjvY/8fHx9O3bF29vb7755hslVPLJarXy+++/s23bNq5du0aLFi0IDAzE3d3d3qGJiNyygoODWb58OadOnSI8PBxXV1fq16/PiBEjqFGjhr3DE5FSLDg4mLlz52KxFPKGR9mIj48nODiYjz76KMcy0dHRTJgwgUqVKjFmzBgAVq1axeTJk1m0aJE27LnNJCSksG3zCVZ9/xuQ/vEusEs9+wYlkkulOlmVwWAw4O5iwN3FSH66FBAQgK+vL99++y2LFy9m4MCB1KlTp/ADvYGQkBBatWrF7NmzefzxxzOda9asGXPmzKF///6cOXMm/aDBADf4pehZxgODwUBYRFSWc6ERkZTz+mfo59mLl3l44ly6tGvB9FEjALCYzSz/YQ1uXj74+vry0ksvce7cOfbt26dfcvl09uxZNm/ezOXLl7njjjsYPnw45cuXt3dYIiK3vCNHjnD27Fm6detGtWrViIiIYPny5fznP//h3XffpXLlyvYOUURKocjISKZPn07Pnj3ZuXPnTcsnJycTHR2Nv79/lnNhYWF4eXnh7Oyc4/WjRo0iPDz8hm2sXbsWs9nM7Nmz8fDwAKBFixaMGDGCdevW8eCDDwIwbdo0QkJCslxfvnx5FixYcNO+SMn3+5EQJo5ZSVxcsu2Y0Wgg5GI0PuX0h3Ip+W6JZFVh8PPz48knn+SHH37gq6++okuXLtx1113Fto5VhQoVcHBw4L333uOhhx7CxcUl0/mTJ0/i4uJC3bp106f1GQzpXzks2OXu6kKzBnVZuXknEx8fZpsKGBMXz4af9xPYqikAsfEJPDBuFuW9Pfl49oTrRkwZcPPyITw8nDfffJOgoCAefPBBVq9ejZ+fX6avjMXfbwVWa/oIvdhEC4nJFixWcDQZ8HA14ulmxNkx7yPKwsPD2bJlC6dOnaJKlSqMHDmSatWqFUH0IiKSnY4dO9KnT59Mv9Pr1avH6NGj2bx5M48++qj9ghORUikpKYmZM2dSr149HnvssVwlq1auXMmGDRtYsGBBpoRVWFgYEyZMoHv37jdcE3batGmkpqayceNGNm7cmG2Zw4cP06RJE1uiCsDd3Z3GjRtz6NAhW7Jq9uzZue2qlEIJCSlMHLOShITMy9xYLFYmjlnJ9+uexs3NyU7RieSOklXXcXV1ZdiwYezYsYOtW7dy+fJl+vbte8O/cBQWk8nEokWLuP/++2nZsiWjR4+mQYMGJCQksGnTJt59913mzJmDt7c3Xl5ehIWFseXQn9xZLetfZjLMfO5R+v/fiwz4v2k8PaQvKWmpLPzsO1JSUpn0RPovwiemLeBcSCifzp3EqeCLmP83Wsvk5smdLTvy22+/ERQUxOOPP869995LeHg4ly5d4s8//yQ6OpoqVarw888/A/DVV1/h6+uLv78/fn5+lC9fHsd/ratVUpktVi5GpBISkUaaJX2tM8t1eUCjIf2xl7uRGr6OeLqbcqwrQ2xsLNu3b+e3337Dy8uLQYMG0bBhQ+3wJyJSzLIbEZwxmio+Pj7LORGRG7FYLCxYsAAHBwfGjx+f6//bDR48mFOnTjFp0iQWLFiAr68vV65cYeLEidSqVYshQ4bc8PqMmR+HDh3KsUxISAj16mWd5uXv78+xY8dyFaeUftu3nMw0oiqD1Qpxccns2HKS+/o2skNkIrmnZNW/GAwGOnXqRMWKFfnhhx/4+OOPGTp0KOXKlSvytnv16sW+fft49dVXmTt3LleuXMHZ2ZnmzZuzbNkyBgwYAMDIkSP56aefGDp6IlOffpiB3TpkW19g62asee9l5n74BSOnvoKzkyPtm93JhzP/S4Pa6bsArt+1D4AH/jsry/UjRqRPCbRarXz00UfZzo8PDQ0lNDSUoKAgjEYjx48fZ8+ePUD6c+nt7Y2/vz++vr74+fnh7++Pj49PiVrz6lqCmWMXU0hNs9oSVP8er5ZxPDrewpH4ZCp4m6hdwQnTv1f1J32I9+7du9mzZw8ODg50796dVq1aZVroXkRE7OvEifTFZqtWrWrnSESktFm8eDHnzp1j4cKFODnlfnSKg4MDU6ZMYe7cuUyaNIkJEyYwf/58atasyZQpUwrlj7zx8fFZZmhA+h/l85qc37FjBytXruTixYssXryY77//nldffbXAMUrRuxQSg8lkwGzOOgvHwcHIpZAYO0QlkjdKVuXgjjvu4IknnmDZsmUsWbKEAQMGZPtXisLWvHlzvvnmmxuWufPOOzl+/DhWq4X4o0FYU5O5dmB9tmXvadGYDYtz/qWS3XUGJxfcG3W0/ZXos88+u2E8ixYtYtGiRbbHycnJXLlyhfDwcNvXoUOHbL8gTSYT5cuXzzKd0NPTs9hHHUXEmvnzQnJOsymzZQVCo83EJSbRpIYLJlN6zBaLhV9//ZUdO3aQlJRE27Ztufvuu7P9D4OIiNhPWloaS5cuxd3dnU6dOtk7HBEpIufOnePYsWNERUURE5P+4dzT0xNvb28aNmyYrw0W9u/fz5YtW3j11Vdxc3PLtJu4xWIhJSUFBweHHP8wm5GwmjNnDmPGjKFVq1aFlqjKkF3b1rz8Z/d/AgMDCQwMLISIpLilpZmzTVSln7NQqbLWIJaST8mqG/D19bWtY/XNN98QGBhIhw4dSsw0LoPBiEvNxiSeOpjj2lX5qBWXmk0K1EdnZ2eqVKlClSpVMh2Pj4/PlMAKDw/n5MmTtl/yTk5OWRJYfn5+mXbKCwwMJCgoKFO9np6eNG/enBkzZtCxY0dbOUj/i1BO4pIsuU5UffreXJYumseOP9ITblYrxCVb+fNCMndWc+LUqVNs2bKFq1ev0rhxYzp37pynheg/++wzRo4cydmzZ7UzlYhIEbJarbzzzjucPHmSyZMnU6ZMGXuHVOI4OBhJSzPj4KARwUWtND/XJTXu6OhoVq1axebNm4mOjsZqteLk5ISHhwdWq5X4+HhSUlIwGAx4enrSvXt37r//fry8vHJVf0xMDPHx8YwaNSrLuW3btrFt2zamTZtG+/btc6wjNjaWy5cv4+HhQWhoKLGxsfj4+OS3y5m4u7uTnJx1+ldiYqJ2n75NHD50npXLfs32nNFowM3NicCu9Ys5KpG8U7LqJpydnRk6dCg7d+5kx44dXL58mf79+xfLOla54VC2HI7lq5J69SJYC7hlrsGIo181HMp4F05w/+Lu7k7NmjWpWbOm7ZjVauXatWuEh4cTFhbGlStXuHTpEkeOHMFsNtuuy0hcxcXFceedd/Lee+/h5OSE2WzmypUrfPDBB/To0YNDhw4REBDA+++/f8NYLBYrx/I4ourfrFaIjjezct1O/vw1iJo1azJgwAAqVqyY57p69erFnj178nWtiIjk3gcffMDmzZsZPXo099xzj73DKZFMJiMODiamT1pDUlKqvcPJNU9PV6bOus/eYeRJaX2uXVwceemVvvYOIxOr1cqyZcv49ttvMZvNNG3alHvuuYemTZvi5+eXqWxoaCgHDx5k165dLF++nFWrVvHAAw8wdOjQm/7BtlWrVixcuDDL8dmzZ1OnTh2GDRuW5Q+214uKimLSpEn4+fnxxhtv8PLLLzNp0iReeeWVQklYVa5cmfPnz2c5fv78ee18ehs4dOA8k/6zkuTk9M9RJpMRs9nyv8S4BTc3J+a/OUCLq0upoGRVLhgMBjp27EjFihVZuXIlS5Ys4YEHHqB8+fL2Dg0A52oNsKalkhYdlv+ElcGIg08FnKsUb5Y9469anp6e1K1b13bcYrEQGRmZaRTW6dOniYiIwGq1sn37dry8vPDz88PX15eZM2fSuXNnPvnkE15//XUaNmx4w3bDYswkpxZ8NJoVAz5VmzCsfmXq1q2T7xFpvr6++Pr6FjgeERHJnsVi4Z133mHTpk2MHTuWrl272jukEi8pKZXkpNKz42+Sc+lJ9vxbaXuuS6L//ve/nDhxgl69evHAAw/cMPFToUIFevfuTe/evQkJCeHjjz/m888/58CBA7z++us3bMfLyyvbUViOjo54enrSoEGDHK+Njo5m0qRJlC9fnunTp+Pk5MT06dOZMWNGoSWsmjZtyqpVq4iLi7PtCBgXF8exY8cYPHhwgeqWku3gvmAmjfuBlOT0e0m7u2sxZca9/LLzDJdCYqhU2ZPArvWVqJJSo+Sscl0K1KtXjyeffBKj0ciSJUtsi7Pam8FgwKVWY+KdvTFbLHkfLWQw4FSpNi41GpWYKY5Go5Hy5cvTsGFDAgMDGTJkCKNHj6ZatWpUqlSJ+++/n4YNG2KxWPj999/ZsGEDVquVffv28d577xEQEEDTpk05fvw4ERERbNq0iXbt2uHh4YG3tzcPDO7Pub//ytTm1p+W89SQu+nRsjxDutbnw4UvkpKSeRj1nqANPD6gDd2a+zC8VxM2rfkaRydnvPxrYjAYiIyM5Omnn8bf3x8XFxfatm3L1q1bM9VhMBiYNWsWrVq1wtPTkzlz5vDZZ59hMBg4d+5cUT+1IiK3nZSUFObNm8f27duZOnWqElUit6CLFy8yf/58Ro0alaeET+XKlZk+fTozZ87kwoULRRghbN26FW9vb2bMmGFbmN3JyYmZM2fi7e3Ntm3bbnh9cHAwZ86cISoqCoAzZ85w5swZYmNjbWV69+6Ng4MDM2bMYNeuXezatYsZM2bg4uJCr169iq5zYlf7957LlKhqf09tZs/vi6eXG/f1bcQTz97NfX0bKVElpYpGVuVRuXLlePzxx1m9ejXLli2jQ4cOBAYG2j3Jk5qayrKtu6nqV44eTWtjib8GBnJey8pgAKsVo4cXLtUDMLmWjjU7DAYDjo6OBAQEEBAQgNVqJSIigtdffx2DwcCYMWNwc3PDbDaTlJTEd999R2RkJIsWLeKuu+5i4sSJGE1OfPjRx0x6dgBf/nQUo9HImu8+ZuFL/8d9A0bwxAszuHwxmA9en0pMVAQTZv+zePzrLz3P489Pp7xvRb5c8hovT32K2vUb4e3RlLLOaXTu3JnQ0FDmzp1LpUqV+OSTT7j33nvZuHEjnTt3ttUzZ84c5syZQ6NGjahateoNtyAWEZGCeeONN9izZw/Dhw/H1dWVw4cPZzofEBCQpx29RKTkefPNNwu0nELr1q2LfKe7gQMH0qdPnyz3G2dnZ2bPnn3T+9D06dMJDw+3PR49ejQAY8eOpVu3bgD4+Pgwf/58lixZwsKFCzEYDDRs2JD58+fnel0uKV327T7L1PGrSElJn/p3T2AdZs7rg6NjyVtTTiQvlKzKB2dnZwYPHszPP//Mtm3buHz5MgMGDLDrrm9bt24lLi6OwIcfxt3HB3NiHKlXL2KOjcSSGPfP9ECDEaOrB6YyPjiWr4LJ1cNuMefXzp07s90xZd68eQwaNAiABQsWAOm/vD/55BNSU1N5+OGHMZvNmE1lmPTSIvbs3EhiQhyubh58+t4c7unSlwkv/bPWVUpKEhtWfZlpdNX4We/R5u7uAFSsWpPh9zXmtwO7aBDQmC+++JIjR46wd+9e2rRpA0DPnj0JDAxk4sSJHDhwwFZPmzZtmDhxou2xklUiIkUnIiICi8XC559/nu35zz77DH9//2KOSkQKU2Gs+1m9evV8X7t06dJclcspIZWbhHlu26hZsybz5s3LVVkp3fb8fIYXJ6whNTU9UdWhU11mzutdIjc/EMkrJavyyWAwcM8991CxYkVWrFjBkiVLGDp0aJYFHItDcHAw+/fvp0ePHrZhzyZXD0xV7wD+t1Wt1QIYwGCw+yiwgmrevDkffvghkN63qKgo1q9fz9SpU4mPj2fOnDm2smXKlKFfv35MmjSJadOmMXToUFrd1R2/2s0JaNYOgOC/TxIVEc49Xfpkamfww6MZ/PDoTMcaN7/L9n2lKukLxcfFxpCSZmXr1q1UqFCBFi1akJb2z7oTffr0Yfz48URFReHtnb54faNGjQrxGRERkRvJ+AOGiNw+9u/fz+eff84jjzxC69atM507evQoX3/9NQ8++CCNGze2U4QiBfPLzjNMm7iatLT0QQmdutZj2uxeSlTJLUNrVhVQnTp1ePLJJ3FwcOCjjz7i2LFjxdp+amoqa9asoUqVKll+EWcwGAwYjCYMRmOpT1RBegKqZcuWtGzZklatWtG9e3feeOMNHn/8cebPn59peDRAjRo1CAoKok2bNixevJgHB/Xk/o61+OitmVgsFq5FRwLgVe7mC5y7uv2z5a/RmP72sVjSf0FEREQQGhqKo6Njpq/x48cDcPnyZdu1+gu+iIiISNFZv349KSkp2f7/uFGjRkRFRbFmzRo7RCZScLuCTmdKVHXuVp9pszWiSm4tGllVCHx8fHj88cdZs2YNy5cv56677qJz5862ZEZR2r59OzExMQwbNqxY2ivJmjZtSlpaGmfPns10PCEhAT8/PyZNmsQjjzzCr7+fZtfPu/lyyavUqncnNeum7xwYHXk103XXYiL568/DNGza5qZtOxjTd4epW7cuX3/9dbZlatasmc+eiYiIiEhenD592raO078ZDAbuuusuNm3aVMxRiRRc0La/mDnlR8zm9ERV1x4NmDKzJw4Ot/dnQbn16Ce6kDg5OTFw4EC6devG7t27+frrr0lMTCzSNi9evMjevXsJDAykfPnyRdpWafDzzz9jMpmIjY0lMjKSsLAwXnvtNQYMGEDTpk1Zt24dly9fplmTAP47810AwkMvUq1mfTy9y/Pzth8z1bflx2VMeLY/KclJN23bw9VIx44duXDhAn5+fraRXy1btmTLli0sWLAABwflhkVERESKw7Vr13B3d8/xvJubW6Zd9ERKgx1bTzJzylpboqp7z4ZMnaVEldya9FNdiAwGA+3bt2f48OFcunSJxYsXExoaWiRtpaWlsWbNGipUqED79u2LpI2SKiYmhjVr1rB06VLeeustXnzxRQIDA/n2229p2rQpu3fvJjExEaPRSIsWLXjqqadITExk//79VK9eHTdnIwumP4ujkzPtA+/DZDIx8rmp7Ny8ijdmj+Hg7q2s+nYxH7/zEv2GPomX940TgQYDlCtjYuTIkVSvXp1u3bqxdOlStm/fzpQpU5g6dSqVKlXKdlF4ERERESl8lSpV4s8//8zx/LFjx/D1vfkSECIlxdZNJ5g19UfM5vTd3u/tFcDkGfdiMukjvdyaNNSjCNSqVYunnnqKZcuW8fHHH9O3b99CX1B7586dRERE8NRTT92y0//S0tK4evUq4eHhhIeHc+XKFS5evMiZM2fo16+frZyjoyOVK1fm+eefZ/z48VSsWJFt27YB0KlTJwDWrl3LSy+9xLBhw0hLS+POJi14fckaqtWsB8D9DzyFi6sb3376Jj+tXEp5/0oMffQFHnx83M0DtYK/lwOOJkd27tzJ5MmTmTBhAjExMdSoUYNXXnmFceNyUY+IiIiIFIquXbvyySef8PXXXzNo0CDbbnspKSmsWLGCffv2MXToUDtHKZI7WzYeZ870n7BY0hNV9/W5k/FTuytRJbc0g9Vqtdo7iFtVamoqa9eu5ffff6ddu3Z07do1V4klq9VKSlr6vyajAUeHzIuiX758mSVLltCxY0c6duxYVOEXG7PZTEREhC0hlfFvZGQkGT+eZcuWxc/PD19fX/z8/PDz86N8+fK52uY3O6lpVvadSuR/I2jzzWiASj4O1K6QvzhEROT2MGHMCpKT0m5esAQo6+nC7Pn9SlXMUDrjLo0xAzi7OLDgzYH2DuOGLBYLc+bMYe/evbi4uODv74/BYCA0NJSkpCQaNmzIvHnz8v1/SZHisumnY8ybtd6WqOrdrxH/ndIdo7H0b5wlciMaWVWEHB0d6d+/P5UqVWLTpk2EhoYyaNAg3NzcspQ1W6xciTFzOSqNuCQLlutSiA4m8HQzUcnHgbIuVlavXo2fnx933313Mfam4CwWC1FRUZlGSoWHhxMREWHbUc/DwwNfX1/q1KljS0z5+vri4uJSqLE4OhioX9mJ4xdTKEi61snBQE0/Te8TERERKUmMRiPTp09n27Zt7Nq1i5CQEAACAgJo164d3bt313qiUuJtWPcnL89ab/u80ndAE8ZO7KpEldwWdIcuYgaDgbZt21KhQgWWL1/O4sWLGTp0KBUrVgTSR09duWbmr0vpSRNLNomTNDNExJqJjDNjTU0kIRkeGNwXk6lkbk1qtVqJjo7ONEoqPDycq1evkpaW/ldDV1dX/Pz8qF69Oq1atbIlpbJL5BUV37IOxJW3cOFqWr4SVg4maFzdWb8sREREREqozp0707lzZ3uHIZJnP635nflzNto+p9w/sAljJihRJbcPJauKSY0aNXjqqaf47rvv+OSTT+jduzeNGjfmxMUUrsaac5UssVrBYnSmeZfhWJ2diz7om8ZjJTY2NstIqStXrpCamgqAs7Mzvr6+VKpUiSZNmtim8Lm7u2Mw2P9GW9PPCUeTgb9DU8ltvspoABcnA3dWc8bVSfPERURERESk8Py4+ndenftPomrAkGa88N/OJeLzk0hxUbIqHwIDAwkKCsp0zNHRkQoVKtCnTx/mzJmDt7d3lus8PT0ZOXIk69atY9WqVVxN8cbRvXyeRvVkrHl1JjQ9GVS5XMGmoAUGBgKwY8eOHMtYrVbi4+NtyajrE1PJyclAev8zpu0FBATYRkqVLVu2xN9Uq5RzxMfDxKnLKUTHWzAash/hZjSk7/xXrbwDVco7Yizh/RIRERERkdJlzcojvPbyZtvjQQ805/mxnUr8ZyqRwqZkVT41a9aM999/3/Y4JSWFQ4cOMWXKFA4fPswvv/yS7Q3FwcGBvn374lvtTpJMXvleL8lKesLK092Eh0v+R/dc3weAxMTEbEdKJSQkAGAymShfvjx+fn7UrVvXNlLKy8urVN9A3ZyNNKnhQmKKhSsxZq4lWIhPtmAFHIxQ1s2Il7uJ8mVMGnorIiIiIiKFbtX3v7Fw/hbb4yEPtuC5MYGl+nOWSH4pWZVPZcuWpW3btpmOdejQgbi4OKZPn86+ffuynM+QkmYlzbkipgLuw2gFjl9MpmVtlzzfwJKTk7ly5QpJSUmEh4dz6NAhwsPDiYuLA9JHcJUrVw4/Pz9q1qxpGynl4+OTqx0NSytXJyPVfG/d/omIiIiISMmz8rvDvPnqVtvjYQ+34pnnOyhRJbctJasKWcuWLQEIDg6mbdu2rF69mtmzZ/PHH3/g5eXF0KFDeeqFmRhwxgp8+t5cNv/4LT36PsiKL9/Ho4wni74N4qkhd9O01T1MnrvYVvf6VV8w/8Vn+GbjMSpWrk7gne45xnH27FlmzpzJ0qVLsz3fsWNHOnXqxKeffoqjoyNz5syhWbNmtpFS5cqVK7ELuIuIiIiIiNwqvv/2V95+fZvt8UMjWvPUc/coUSW3NSWrCtnJkycBqF27Nl9//TUPPfQQDz30EHPmzOHcuXNMmTKFX/Yf5bUlP9puPmGXz7Nzy2qmv/oZMdEReHqVy1Vb7321HQBvdyNVyxk5efIko0aNokmTJuzevZtq1arx+OOP28qXKVOGtWvXcvnyZV544QXatm3Ltm3bMBgMDB06tJCfCREREREREbmR774+yLtv7LA9fvixtjzxzF1KVMltT8mqfLJaraSlpdkeR0ZGEhQUxJw5c2jbti0tWrSgf//+3HvvvXz55Ze2ctVr1ua+e7uzd+dG2nW8FwBzWhrP/nceLdvlbVvdgCatAUhNjmfjD2/z8ccfU6ZMGfr164fFYuGuu+6yjZTy9fXlzTff5OzZs6xevZrevXsD6CYoIiIiIiJiB998cYBFb/+zcdejT7Rj5FPt9RlNBCWr8m3nzp04Ombeic9oNNKlSxeWLFnCyZMnuXjxIlOmTMmU1GreugPuHmU5uGerLVkFUKtuQL5jcXR2Z9++fcTHx7Nz506aNGmSpcy6deuYPHkyc+fOtSWqREREREREpPh9tXQfH767y/Z45FPtGflkeztGJFKyaCXpfGrevDkHDhzgwIEDHDx4kD/++IPo6Gg2bdpE9erViYiIAGDUqFE4Ojravir4uBAfd42IK6GZ6vMp75/vWD7/cD5bt27lm2++yTZRdezYMR588EGGDBnCpEmT8t2OiIiIiEhp88MPP9C3b1/b/89F7O2LT/dmSlQ9/sxdSlSJ/ItGVuVTmTJlbIupZ8fLywuAV199lcDAQNvx6Lg0zoan4V7G64b1GwwGLGZzpmOJCfFZyu3aupZP353NvHkvc99992U5HxkZSd++falTpw6ffPLJDdsUEREREbmVmM1mVq1aRVpaGqtWrcq0nquIPSz9aA8ff/iL7fFTo+5h+Mg2doxIpGTSyKoicscdd+Dn58fZs2dp2bKl7atWzWp88MY0Tp04csPr3d3LEB4akunYH4f3ZHr8919/MG/yE3TtNZhJkyZmqSMtLY3BgwcTFxfHqlWrcHV1LXjHRERERERKiaCgICIiIujWrRsbNmwgISHB3iHJbezTJbszJaqeeb6DElUiOdDIqiJiMpmYO3cuTz/9NCaTiT59+hAdHc3s2bM5F3yR+g2b3fD6dh178tVHr/Hl4lcJaNqaPUHr+XXfDtv5azGRTHl+CD7l/RnxxGj27duH1Wq1na9duzazZ89mx44dfPTRR4SGhhIS8k/yq2zZsjRs2LDQ+y0iIiIiUlKsWLGC9u3b8/jjjxMUFMRPP/3EoEGD7B2W3GasViuffPgLSz/eazs26oWOPDC8lR2jEinZlKwqQk888QRly5ZlwYIFLF68GA8PD+666y7mvvEpnhVqYL3BtQ89OZ7oqKss++wt0tJSadvhXia8tIgpowcDcObkH4SGBAMw/P4OWa7/9NNPWbNmDRaLhcceeyzL+Y4dO7Jjx47C6KaIiIiISIlz6NAhzp07x/PPP0/ZsmXp0qULq1evpn///phMJnuHJ7cJq9XKR4t+5otP99mOjf5PIEMezHlJGRFRsipf8pLkGTJkCEOGDMl0LD7JwqEzSQCMfG4qI5+bmuU6Vzd3/jvzXf47893Mbf+Rvm5VxcrV2fFHPI4maFffNdvtTR999NGbxqeElYiIiIjcilasWMEdd9zBHXfcAUD//v3ZsGED27Zto1u3bnaOTm4HVquVD9/dxdef77cd+79xnRn0QHM7RiVSOmjNKjtwdzFS2ccBY9b8Up4YgDuqOGebqBIRERERuV2dPn2a3377jQEDBtiOValShdatW7Ny5Uo7Ria3C6vVyqK3gzIlqsaM76JElUguKVllJzX9HXF1MpDfNJPRABW9Tfh4aAiziIiIiMj1VqxYQYUKFWjfvn2m4wMGDCA4OJgDBw7YKTK5HVitVt57cwfffnnQdmzcpK4MGHLjdYtF5B9KVtmJ0WigSQ0X3JwNeR5hZTCAn6eJOhWdiiY4EREREZFSKiwsjF27dtGvX78sMxAaNWpE3bp1Wb58uZ2ik1ud1WrlnYXb+e7rQ7Zj/53cjX4Dm9ovKJFSSMkqO3J0MNC8lguVfRwwkJ6EuhGjAUxGuKOyE/UqOWn6n4iIiIjIvxw5coTGjRvTo0ePbM8PGzYMo9HIlStXijkyudVZrVbefn0b33/7K5D++W7Ciz3oO6CJnSMTKX20wLqdGY0GalVwooK3A5ciUwmNNmO2pCemMABWsFjB2dFAZR8HKng54OigJJWIiIiISHa6d+9O9+7dczzftm1b2rZtW4wRye3AYrHy5qtbWfX9b0B6omrStHvp2edO+wYmUkopWVVCuDkbqVPRmdoVrCSnWUlItmKxWHEwGXB3MeJoUoJKRERERESkpLFYrCycv4U1K48A6YmqyTN6cm+vADtHJlJ6KVlVwhgMBlwcDbg42jsSERERERERuRGLxcpr8zbx4+rfgfSZM1Nm9qR7z4Z2jkykdFOySkRERERERCSPLBYrC+Zu5Kc1fwDpiaoXX7qPrj0a2DkykdJPySoRERERERGRPDCbLcyfvZEN6/4EwGQyMG12Lzp3u8POkYncGpSsEhEREREREckls9nCKy9tYONPxwAwmYzMmNuLwC717RyZyK1DySoRERERERGRXEhLszBv5nq2bDwOpCeqZr3chw6d6to5MpFbi5JVIiIiIiIiIjeRlmZh7oyf2LrpBAAODkZmvdKXezrWsXNkIrceo70DEBERERERKUxfffUVp0+fzvH8vn372LlzZzFGJKVdWpqZ2dN+tCWqHB1NzJ7fT4kqkSKiZJWIiIiIiNxSvvrqK/76668cz//1118sXry4GCOS0iwtzcysqT+yfUv6z5Sjo4k5r/bjrg617RyZyK1L0wBFREREROS24ujoSFxcnL3DkFIgNdXMzClr2bUjfaSek5OJua/eT5v2Ne0cmcitTckqERERuW3s37+fGTNmsH79enuHIiKFLD4+nvj4eNvjuLg4wsPDM5WxWq1cuHCBn376iQoVKhR3iFLKpKSkMWPyWn7ZeQYAJ2cH5r12P63b1rBvYCK3ASWrRERE5JYXHx9PcHAwH330kb1DEZEismrVKr7++msADAYDS5cuZenSpdmWNRqNPPnkk8UZnpQyKSlpTJu4hj0//w2As7MDL7/en5Ztqts5MpHbg5JVIiIicssbNWpUlhEWInJrufPOOxk6dChWq5Vly5bRsmVL6tTJvPi10WjEx8eHpk2bUqlSJTtFKiVdcnIaL05Yzb7dZ4H0RNUrbwygRatqdo5M5PahZJWIiIjc8qZNm0ZqaiobN25k48aN9g5HRIpAkyZNaNKkCQAODg60bt2aunXr2jkqKW2Sk1KZOn41+/eeA8DFxYEFbw6kaYuq9g1M5DajZJWIiIjc8jJGVxw6dMjOkYhIcXjooYfsHYKUQklJqUz57yoO7gsGwNXVkQVvDaRJsyp2jkzk9qNklYiIiJQY4eHhlC1bFhcXl2zPJyYmAuDq6lqcYYlIKRQfH8/+/fsJCwsjJSUly3mDwcDDDz9sh8ikJEpKSmXSf37g14PnAXB1c+S1twfRqEllO0cmcntSskpERERKjJEjR/Lcc89x3333ZXv+008/5ffff2fRokXFHJmIZHBwMJKWZsbBwWTvUHJ04sQJpk+fTnx8PFarNdsySlZJhsTEFCb95wcOH7oAgJu7E6++NVCJKhE7UrJKRERESoycPlRm8PPz4/Lly8UUjYhkx2Qy4uBgYvqkNSQlpdo7nGydDl5DSkoKlf074uLsjdHoiLOzI2MndrV3aFLCJCSkMHHMSo4cvgiAu7sTr70ziIBGWoBfxJ5uu2TV3X2CADAYjRiMhvTvDdd9bzQCYDQaMBiM/ztmsB03GA0YrztuO3/dMWNGWYMhU5nsrzP801421xltMV537F/1Xl9H1rL8K4Z/vk8vm/m6f86TObb0bzPXazv/z/cGI//UkXFNpjbSr/0ndmz1/VP2n+9tbRgy1/dPu2R7/vr6DAZrljb+uc6a/XVYs6nrn7JGrr/un/qvv852PJuyBqyZ2rr++D/XZS5viyGb743/qsNWV3bXkfn79H8t/1xvve681ZLpe9v1mb7PvqztOOllsf77umyOZ3xItVoyleX689ddZ4sr0/fXlbVkLst1cXGjsv9qA4sl87HsylquqzeH89Zsylot2ddrO/6/slar5V/X/ROb9bo4rdfHAVgtmeuyXnc8o72Ma6w51HV9HZnK2trKfD5r2czHLOasdaSX+ed41rI51XFdXf87ZjH/U5fFbMVqzhxP+rH/fZ9mxZqa/fcA1lTLdd9b6ZV6Eil6Gff+7Pz++++4u7sXYzQikpOkpFSSk9LsHUa2kpIj8S4bgKtTdbCC1QxWiwP+/v72Dk1KkIT4FCaMWcHR30IA8PBw5rV3B9EwoKKdIxOR2y5ZJSIiIiXL5s2b2bp1q+3xypUrCQoKylTGYrFw6dIloqKicpwiKCKSwWR0xmjQR52CSkxM5MUXX2TIkCG0adPG3uEUqvi4ZMa/sII/jl4CwKOMMwvfHcwdDSvYOTIRASWrRERExM7i4uIICUn/q7bBYCA6OpqkpKRMZYxGI76+vtx7770MHjw4z20EBweTlpZGVFQUAGfOnAHSpxWWKVOmgD0QkZKmrHttYuPP4l32zhuO1pScbd68mU8//ZRr167ZO5RCFxeXzPj/+54/f0+fVl6mrAsL3xtM/Ts08k6kpFCySkREROyqf//+9O/fH4BHH32URx99lMDAwEJtY/r06YSHh9sejx49GoCxY8fSrVu3Qm1LROzPxbkcUbF/cjX6V9xd0tceSjWb+O233zKVa9q0aZ7rvnLlCt988w3Hjx8nLCwMk8lEjRo1GDhwIG3bti2E6G9s//79zJgxg/Xr12d7Pjg4mCVLlnDs2DEAAgICeOKJJ6hevXqe2unWrRvdunVjwoQJBY65JImNTeK/z3/P8T9DAfD0dGXhe4OpW9/PzpGJyPWUrBIREZES47PPPiuSepcuXVok9YpIyXTpynYAoq79TtS1P2zHp07dAKRv5mAwGFi3bl2e6z516hT79++nZ8+e1K5dm5SUFH766SdmzZrFvHnzaNasWeF04l/i4+MJDg7mo48+yrFMdHQ0EyZMoFKlSowZMwaAVatWMXnyZBYtWoSnp2eRxFZaxF5LYtzo5Zw4HgaAp5crb74/hNp1fe0cmYj8m5JVIiIiUiJFRESQkpKS7bmKFbX4rYjkzL/c3VmOOToaGfJgywLXHRAQwCeffIKTk5PtWJs2bRg6dCi7d+/OMVmVnJxMdHR0tou8h4WF4eXlhbOzc47tjho1KtMI0eysXbsWs9nM7Nmz8fDwAKBFixaMGDGCdevW8eCDDwIwbdo02/Tr65UvX54FCxbcsI3S6lpMImNHf89fJ9ITVV7e6YmqWnWUqBIpiZSsEhERkRIjPj6eDz/8kB07dmA2m3Msl5/RECJy+/D0qJPlmLOLQ6FM+81udJLBYMBqteLt7Z3jdStXrmTDhg0sWLAgU8IqLCyMCRMm0L17dx566KEcr582bRqpqals3LiRjRs3Zlvm8OHDNGnSxJaoAnB3d6dx48YcOnTIlqyaPXv2Tft5K4mJTmTsc8s59Vd6ss/bx4033x9Czdrl7RyZiOREySoREREpMT788EO2bNlC8+bNqV69Oq6urlocWUQKxGJJxWxJwdHicfPCeZSUlERoaChffPEFvr6+9OnTJ8eygwcP5tSpU0yaNIkFCxbg6+vLlStXmDhxIrVq1WLIkCE3bKtOnfQE3KFDh3IsExISQr169bIc9/f3t61hdbuJjk5g7KjlnD51BQCfcu68uWgINWqWs3NkInIjSlaJiIhIiXHgwAE6duzIxIkT7R2KiJRysQnBRET/RkpqNADVK3cH4K+//uKll15i9OjRBVoQ3Ww22zaHqFWrFrNmzbrh7qIODg5MmTKFuXPnMmnSJCZMmMD8+fOpWbMmU6ZMwdHRMd+xZIiPj8fFxSXLcVdXV+Lj4/NU144dO1i5ciUXL15k8eLFfP/997z66qsFjrE4RUclMGbUd/x9+ioA5cq789aioVSr4WPnyETkZpSsEhERkRIjNTU121EBIiJ5EZsQzOUr23F1qYiPW2MiY47YztWrV49y5cqxZcuWAiWrTCYTCxcu5Nq1a+zYsYPnnnuOF198kZYtc14XKyNhNWfOHMaMGUOrVq0KLVGVwWg0ZjlmtVrzXE9gYGCh78xanCIj4vnPqO84+3cEAOV9PXhr0RCqVleiSqQ0yHonExEREbGTRo0acerUKXuHISKlXGTMUVydK1DVvweeHlkT4C1atODMmTMFbqdBgwa0adOGiRMnUrlyZRYtWnTTa2JjY7l8+TIeHh6EhoYSGxtb4DgyuLu7k5ycnOV4YmIi7u7uhdZOSRdxNZ4Xnl1mS1T5+pXh7Q+HKlElUoooWSUiIiIlxiOPPMLPP//MyZMn7R2KiJRiKanRuLtWyfF82bJliYiIKNQ2K1aseNPd+qKiopg0aRJ+fn589tln+Pn5MWnSJCIjIwslhsqVK3P+/Pksx8+fP0/lypULpY2S7urVOF54dhnBZ9OfUz//9ERVlao5L34vIiWPpgGKiIhIiTF9+nQsFguTJ0/OtJvV9QwGA0uXLi3myESkNDEYTFisqTmev3z58g3Xl7qRq1evUr585l3kEhMTOXHiBDVq1MjxuujoaCZNmkT58uWZPn06Tk5OTJ8+nRkzZjBp0iReeeUVfHwKNvKnadOmrFq1iri4ONs9NC4ujmPHjjF48OAC1V0aXAmPZcyz33HhfBQAFSqW5c1FQ6hU2cu+gYlInilZJSIiIiVGxYoVqVSpkr3DEJFSztXZn9j4s/h4Ns5y7sqVK2zduvWGa0vdyPvvv09MTAwdO3akQoUKREZGsnbtWqKiopg8eXKO123duhVvb29mzJiBk5MTAE5OTsycOZPp06ezbds2Bg0alOP1wcHBpKWlERWVnojJmMbo5+dnS7z17t2bH3/8kRkzZnD//fcDsGrVKlxcXOjVq1e++ltahIfF8sKzywi5EA1AhUpleWvRUCpW8rRvYCKSL0pWiYiISImxYMECe4cgIreAcl5NuRC6nguh6yjrXhuAhMQwvvvuO3744QdSU1MZOnRovuru0aMHGzduZPXq1URERODh4UHNmjV59tlnCQgIyPG6gQMH0qdPH1uiKoOzszOzZ8/Ocvzfpk+fnmma4ejRowEYO3Ys3bp1A8DHx4f58+ezZMkSFi5ciMFgoGHDhsyfPx8vL6989bc0CAu9xphnvyPkYjQAlSp78tYHQ/GvUNa+gYlIvilZJSIiIiIitxQXp3JU8etOWOQvXIk6AMCVyN/47LMj+Pr6Mn78eGrWrJmvutu0aUObNm3ydW1OCambJaqAXE9/rlmzJvPmzctTXKVZ6OUYXnjmOy5figGgchUv3lw0RIkqkVJOySoREREpMSwWS67KZbc1u4jI9Vxd/KhRqT/JKZGkpF7DwdHAuIn9qFOnDiaTyd7hSSG4fCmGF55dRuilawBUqebNW4uG4OuXv/XIRKTkULJKRERESozevXtjMBhuWm7dunXFEI2IlDYWSypWrJiM/4xUcnbySf9ycaB+/fp2jE4K06WL0bzw7DLCQmMBqFbdhzcXDaG8b/abc4hI6aJklYiIiJQYXbp0yTFZdfbsWc6dO0enTp2KOSoRKQ1SUmM4d2kVrs7+VK1wb47l5syZw759+/j444/x8/MrxgilsIRcjOaFZ5YRHva/RFWN/yWqyitRJXKrULJKRERESoxx48bleC4iIoJnnnmGpk2bFl9AIlJqxMSdAgz4l7vrhuVGjRrFwYMH2bp1K8OGDSue4KTQXDgfxZhnl3ElPA6AGjXL8eaiIfiUc7dzZCJSmG67ZNXPazvare3IyEh++ukn7rvvPnx8fOwWR1Epuf270XSSm081uV7J7WPhUP9KN/VPbnXlypWje/furFq1is6dO9s7HBEpYRKTwnB3rYST443XK/Lx8aF169YcOHBAyapS5vy5SMaM+o6rV9ITVTVrl+fN9wfj7aNElcitRquTFqPIyEi++uorIiMj7R1KkbjV+we3fh/Vv9JN/ZPbgZ+fH+fPn7d3GCJSAqWmxeLqnLtpfXXq1OHChQtFHJEUpuBzEfzfM8tsiaradX15a9EQJapEblFKVomIiEipkJyczM8//6yRdSKSLYs1FYPBMVdlnZ2dSU5OLuKIpLCc+/sqLzy9jMiIeADq1vPjjfcH4+XtZufIRKSo3HbTAEVERKTkGj9+fLbHk5OTuXjxIsnJyYwcObKYoxKR0sDB5Epq2rVclQ0JCcHLy6toA5JC8ffpK/znueVERSYAULe+H2+8N5iynq52jkxEipKSVSIiIlJihIeHZ7sboJOTEw0bNqRz585ar0pEsuXqXIHY+LOU82qGyeiUY7lr166xY8cObdZQCpw5fYUxz35HTHQiAPUb+LPw3cGUKeti58hEpKgpWSUiIiIlxtKlS+0dgoiUUt5lG3It/gyXwrdQ0bcTDqasI2+uXr3KnDlziI+Pp0+fPnaIUnLr9F/h/GfUcmJi0hNVdzSswOvvDqJMGSWqRG4HSlaJiIiIiEip5+zkg693S65EHeBsyAo8XKvh4lwOo9EJiyWFlMgInnjiC1JSUnjwwQdp1KiRvUOWHPx1Moyxzy3nWkwSAA3vrMhr7wzCw8PZzpGJSHFRsqoY+fj48NBDD92yC8Pe6v2DW7+P6l/ppv7JreTIkSP88ssvhIaGYjAY8Pf3p127djRr1szeoYlICeZdNgBHh7Jcjf6V2IS/iU34O9P5qlWrMnz4cDp06GCnCOVmTp5IT1TFXktPVAU0qsRrbw/EXYkqkduKklXFyMfHh+HDh9s7jCJzq/cPbv0+qn+lm/ontwKLxcJrr71GUFAQVqsVV1dXrFYrBw4cYN26dXTo0IHx48djNGpDYxHJnodbVTzcqpKaGktyajQWaypGgyMeHj689f5j9g5PbuDEsVDGjl5OXGz6To2NmlTm1bcG4uae8xpkInJrUrJKRERESozvv/+eHTt2MGDAAAYOHIi3tzcAkZGRLFu2jLVr11KzZk2GDBli50hFpKRzdCyDo2MZ22NnJ330KWkSElLYvuUkl0JiMBhgxbe/Eh+fAkDjZlVY8MYAJapEblO6Y4uIiEiJsXnzZtq1a8cTTzyR6biPjw/PPvssYWFhbNq0SckqEckkLS0BBwe3AtURHx+Pu7t7IUUkN/P7kRAmjllJXFwyJpMBs9lqO9e0eRVeeWMAbm5KVIncrjSGXkREREqMsLAwGjZsmOP5O++8k/Dw8GKMSERKg+DQH0lKvprv6y9fvsz48eMLMSK5kYSEFCaOWUlCQvooqusTVSaTgZnzeitRJXKb08iqPAoODmbJkiUcO3YMgICAAJ544gmqV6+ep3r279/PjBkzWL9+fbbnr1y5wpIlSzh8+DCpqanUrl2bxx57jICAgAL34UaKq38jRozI8cPGypUrcXXNutVwYShI/4KDg1m+fDmnTp0iPDwcV1dX6tevz4gRI6hRo0amsvZ6/TLiLI4+lsbX8MqVK3zzzTccP36csLAwTCYTNWrUYODAgbRt2zZL2dL2HsxL/0rj6/dvhw8fZvr06QQGBjJu3LhM5+z5HpSCKVu2LGFhYTmev3z5MmXLli3GiESkNDBg5ELYerzL3olP2TsxGh1zdV1ycjLff/89K1aswNPTs4ijlAzbt5wkLi4523Nms5W9v5zlvr7arVHkdqZkVR5ER0czYcIEKlWqxJgxYwBYtWoVkydPZtGiRbn6BRcfH09wcDAfffRRjmVSUlKYPHkyRqORZ555BldXVzZs2MDUqVN59913qVKlSmF1KZPi6l+G5s2bM2jQoCzHnZyK5q8oBe3fkSNHOHv2LN26daNatWpERESwfPly/vOf//Duu+9SuXJlwH6vX3H2MUNpew1PnTrF/v376dmzJ7Vr1yYlJYWffvqJWbNmMW/ePNsuY6X1PZjb/mUoba/f9YKDg5k7dy4WiyXLOXu+B6Xg2rRpw8aNG2ndujUtW7bMdG7v3r1s3ryZbt262Sk6ESmpalTqR3jUfiJjjhAdexwPt+qUcauBm0tFDIbMk0ksFgt//vknu3bt4ueffyY6Oppu3brxzDPP2Cn628+lkBgcHIykpWX9Pe7gYORSSIwdohKRkkTJqjxYu3YtZrOZ2bNn4+HhAUCLFi0YMWIE69at48EHH7xpHaNGjbrp9IUdO3Zw+fJllixZQqVKlYD0/7w/9dRTtsRBUSiu/mXw8fEp1i3IC9q/jh070qdPHwwGg+1YvXr1GD16NJs3b+bRRx8F7Pf6QfH1MUNpew0DAgL45JNPMiVj2rRpw9ChQ9m9e7etL6X1PZjb/mUoba9fhsjISKZPn07Pnj3ZuXNnlvP2fA9KwY0YMYKjR48yY8YMqlSpYkuSX7x4kZCQECpWrMgjjzxi5yhFpKQxGh2pUO4uvMs0IDLmKNfiznAt7jQGDDg4eGAyuWA0Gnjmmc1cvnyZtLQ0DAYDd911F0OHDqVWrVr27sJtpVJlz2wTVQBpaRYqVdYoN5HbndasyoPDhw/TpEkT24csAHd3dxo3bsyhQ4dyVce0adNYuHAhPXr0uGE7NWvWtH3IAjCZTLRu3TrX7eRHcfXPXgraP09Pz0xJHMD2ISo+Pj5TO/Z4/TLaLo4+2kth9O/fo4YMBgNWq9W241hGO6XxPZjb/tlLYdxjkpKSmDlzJvXq1eOxx7Lfftye70EpuLJly/L2228zdOhQDAYDv/76K7/++itGo5EhQ4bw1ltvaaqOiOTI2cmHir6B1Kk6jEq+nfAq2xBXZ19MRidMRifq1KlDv379mDZtGt999x2TJ09WosoOOnWtj4eHM0Zj5v93Go0GPDycCexa306RiUhJoZFVeRASEkK9evWyHPf397etv3IzderUAbjhB6aQkBB8fX2zbSciIoKkpCRcXFxyGXXuFVf/rpeamoqjY+7WFCiowujfv504cQKAqlWrZmrHHq9fRtvF0cfrldbXMCkpidDQUL744gt8fX3p06dPpnZK63sww436d73S9PpZLBYWLFiAg4MD48ePz5JYvb4de70HpXC4urryyCOPaASViOSb0eiIh1s1PNyq2Y45uzjw3/8OtGNUksHNzYn5bw6w7QaYMSUw47gWVxcRJavyID4+PtsPOK6uroU66iQ+Pj7L2kAZ7dwojsJotzj6l2HLli1s2bIFR0dH/P396datGwMGDMDBoWh+LAu7f2lpaSxduhR3d3c6deqUqR17vH43qruw+5ihtL6GZrOZ/v37A1CrVi1mzZpFmTJlMrVTmt+DN+tfhtL2+i1evJhz586xcOHCG66rZc/3oOSP1Wrlxx9/xGAw0KtXrxwTkbt27SItLS3b+5GIiJQujZpU5vt1T7Njy0kuhcRQqbIngV3rK1ElIoCSVXlmNGadOWm1WrMpWTAmkynHdnL6T3xhKK7+PfLII5QpUwY3Nzfi4uI4cOAAn332GRcvXmTs2LGF3l6Gwuqf1WrlnXfe4eTJk0yePDlLIsBerx8UXx9L82toMplYuHAh165dY8eOHTz33HO8+OKLmRZzLs3vwdz0r7S9fvv372fLli28+uqruLm5kZKSYjtnsVhISUnBwcHBVr8934OSd/v27eODDz7goYceuuHrEx0dzQcffIC3tzdNmzYtvgBFpFRKMycQfe0EiclhpJkTMBpNvPTSn3To0IGOHTvq90EJ4ObmpF3/RCRbSlblgbu7O8nJWbdYTUxMxN3dvVDbSUpKyrYdADc3t0Jr69/tFkf/ALp06ZLpcdu2bbFarWzatIlRo0YVyaiHwuzfBx98wObNmxk9ejT33HNPlnbs8fpltF0cfYTS/xo2aNAASF94+7nnnmPRokV8/PHHtnZK+3vwRv2D0vf6xcTEEB8fz6hRo7Kc27ZtG9u2bWPatGm0b9/eru9ByZ+goCC8vLyy3Z3yer169WLlypUEBQUpWSUiN5SUfJWL4ZuwWFIwmdxwNLmBwcKRI0fYt28fGzZsYNasWTg7O9s7VBERyYaSVXlQuXJlzp8/n+X4+fPns51yUpB2zpw5k2075cqVK7LpK8XVv5xUr14ds9lMQkJCkfSxMPpnsVh455132LRpE2PHjqVr167ZtmOP1y+j7eLoY05Kw2uYnYoVK7Jv375M7dxK78F/9y8nJfn1a9WqFQsXLsxyfPbs2dSpU4dhw4ZRpUoVWzv2eg9K/pw9e5a2bdvecHonpI/Ma9OmDQcPHiymyESktAqPSv+9V8WvO26u6RtuOLs4MPfVvqxdu5aPP/6YL7/8kscff9yeYYqISA60G2AeNG3alD///JO4uDjbsbi4OI4dO0bz5s0zlb106RIXLlzIdzsXLlzg0qVLtmNpaWn8+uuvWdopTMXVv/j4+Gyn/Rw8eJBy5coV2a5lBe1fSkoK8+bNY/v27UydOjXHJI69Xr+Mtoujj6X1Nbx69WqWOhMTEzlx4gQ1atTI1E5pfA/mtn+l8fXz8vKiQYMGWb4cHR3x9PSkQYMGtqmq9nwPSv6Eh4fbko03U6FChWx/1m8mODiYF198kQEDBjBgwACmTZtGcHBwnusRkdIhOSUSL487bImqDI6OjgwYMICOHTuyfft2O0UnIiI3o5FVedC7d29+/PFHZsyYwf333w/AqlWrcHFxoVevXpnKTp48mfDwcNavX5/peHBwMGlpaURFRQHY/vrv5+dn+6AVGBjIt99+y6xZsxg6dCiurq5s3LiRmJgYBg4suh1Miqt/u3fv5rvvvqNr167UqFGD5ORkduzYwcGDB5k6dWqRrR9Q0P698cYb7Nmzh+HDh+Pq6srhw4czXRMQEICTk5PdXr/i7GNpfQ3ff/99YmJi6NixIxUqVCAyMpK1a9cSFRXF5MmTbeVK63swt/0rra9fbtnzPSj5YzQasVgsuSqblpaW7dpnNxIdHc2ECROoVKkSY8aMAdJ/9iZPnsyiRYvw9PTMa8giUsKZjM4YjTmP1qxbty579uwpxohERCQvlKzKAx8fH+bPn8+SJUtYuHAhBoOBhg0bMn/+fLy8vHJVx/Tp0wkPD7c9Hj16NABjx46lW7duADg7O/PKK6+wZMkS3n//fdLS0qhduzZz5syhevXqhd6vDMXVvzvuuIP69euzefNmIiIiAKhTpw7z58+ncePGhdup6xS0fxEREVgsFj7//PNsz3/22Wf4+/vb7fWD4utjaX0Ne/TowcaNG1m9ejURERF4eHhQs2ZNnn32WQICAmzlSut7MLf9K62vX27Z8z0o+VO5cmWOHTuWq2Ti77//ToUKFfJU/9q1azGbzcyePRsPDw8AWrRowYgRI1i3bh0PPvhgvuIWkZLLw60GcYnn8fG8M9vzMTExVKpUKdtzIiJifwZrUWz1JiIiIpJL3377LV988QUvv/zyDROmv/76K9OmTWPgwIE89thjua5/7NixeHt7M23atEzHX3rpJWJiYnj99dfzHXtuTRizguSktCJvpzCU9XRh9vx+pSpmKJ1xl8aYoXTEHRt/lstXd1LeqzkuTuUBcHQy8dRz6ZvGvPvuuzRo0CDLhiPavEFEpGTQyCoRERGxqz59+rB+/XpmzpzJiBEj6NGjR6aF8BMTE/npp5/44osvKFu2LAMGDMhT/SEhIdSrVy/LcX9/f44dO1bg+EWk5Ll8NQiAq9GHgH+mt0+dugEAq9XKpUuX2LZtm+2xwWBg3bp1xR6riIhkpWSViIiI2JW7uzuzZs1i5syZfPjhh3z00UdUqVIFDw8P4uPjuXDhAmazGW9vb6ZPn57naaPx8fHZ7gLp6upKfHx8IfXixlxcHIulncKQEWtpihlKZ9ylMWYoHXFXqdAhyzFHRxP9BzezQzQiIpJXmgYoIiIiJUJSUhLr169n9+7dnD9/noSEBNzc3KhSpQpt2rShV69euLu757ne3r17M2TIEB555JFMx5cuXcr333/P2rVrC6sLIiIiIlIINLJKRERESgQXFxf69+9P//79C7Ved3d3kpOTsxxPTEzMV/JLRERERIpW3vZ+FhERESllKleuzPnz57McP3/+PJUrV7ZDRCIiIiJyI0pWiYiIyC2tadOm/Pnnn8TFxdmOxcXFcezYMZo3b27HyEREREQkO1qzSkRERG5pkZGRPPPMM1StWpX7778fgFWrVhESEsIHH3yQ5wXbRURERKRoKVklIiIit7yzZ8+yZMkSjh8/jsFgoGHDhjz55JNUr17d3qGJiIiIyL8oWVVIevbsSadOnZgwYYK9QxERERERERERKbVuuzWr3nrrLXr27Mnff/+dY5lff/2Vnj17snLlymKMTEREREREREREbrtkVWBgIAA7duzIsUxQUBBGo5GOHTsWT1AiIiIiIiIiIgLchsmqRo0aUa5cOXbu3Jnt+dTUVHbv3m0rJyIiIiIiIiIixee2S1ZljJgKCwvj+PHjWc4fOnSIuLg4OnXqREhICFOmTGHEiBH069ePwYMH88ILL7B58+abtnP06FF69uzJhg0bspzr2bMnCxYsyHTMbDbz3Xff8eSTT9KnTx+GDRvGG2+8wbVr1/LfWRERERERERHJVmJiIuPGjWPfvn32DqXASmJfChKTQxHEU+IFBgaycuVKgoKCaNCgQaZzQUFBODo6ctdddxESEoLJZKJTp054e3uTlpbGkSNHWLhwISkpKfTq1atQ4rFarcydO5d9+/bRoUMHevbsSUREBOvXr+fMmTO8+eabODjcli+ViIiIiIiISKHbvHkzn3766S0xQKQk9qWgMd2WGZC6detSpUoVdu7cyVNPPYXRmD7ALDk5mX379tGqVSs8PDyoX78+s2fPtl1nsVjo0aMHzz//PFu3bi20ZNXOnTvZs2cP48ePp3Pnzrbjbdq0YeLEiezdu5e77767UNoSERGRkiM4OJglS5Zw7NgxAAICAnjiiSeoXr16nurZv38/M2bMYP369UURZpEpSP+Dg4NZvnw5p06dIjw8HFdXV+rXr8+IESOoUaNGEUdecAXp+5UrV/jmm284fvw4YWFhmEwmatSowcCBA2nbtm1Rh14oCutnH+Dw4cNMnz6dwMBAxo0bV9ihitx27H1/vdnvtLzcP250v+zWrRvdunVjwoQJdu3L66+/zqlTpzCZTDRr1ixf98K89KUwn9/Ciik7t900wAyBgYFERUVx9OhR27H9+/eTmJhIp06dbMcOHDjAzJkzGTZsGL1792bw4MGEhoYSFRVVaLEEBQXh4+NDo0aNuHLliu2rYsWKuLq6ZjtdUUREREq36OhoJkyYQHx8PGPGjGHMmDHEx8czefJkYmJiclVHfHw8x44d46OPPiriaAtfQft/5MgRzp49S7du3Zg8eTIPP/wwwcHB/Oc//yEkJKQYepB/Be37qVOn2L9/P3fffTcTJkzg+eefx2QyMWvWLA4fPlwMPSiYwvjZzxAcHMzcuXOxWCxFFK1IwZXE6Vk3Yq/7a25+p+X1/mGv+2Vu+zJu3DjOnDmDwWCgYcOG+b4XFmZMhXV/LqjbcmQVQKdOnfjyyy8JCgqiadOmQHrSyM3NjdatWwOwatUqPvzwQ3x8fOjYsSNVq1bFw8ODr776iuTk5EKL5eLFi0RGRvLII49kez42NrbQ2hIREZGSYe3atZjNZmbPno2HhwcALVq0YMSIEaxbt44HH3zwpnWMGjWK8PDwog61SBS0/x07dqRPnz4YDAbbsXr16jF69Gg2b97Mo48+WpThF0hB+x4QEMAnn3yCk5OT7VibNm0YOnQou3fvplmzZkUaf0EVxs8+QGRkJNOnT6dnz545bp4kYm8lcXrWzeT3/pqcnEx0dDT+/v5ZzoWFheHl5YWzs3OO7ebmd1pu7x/Tpk0jJCQEi8WCo6MjW7duZevWrZQvX57Zs2ff9H5ZHH357rvvSEhIoE+fPuzduxd/f3+eeeaZHPtitVoxm822JYLKly9vWws7I6YbKYrn99+uj6mgbttkVaVKlahXrx6//PILzz33HCkpKRw4cICOHTvi5OSE2Wzmq6++onLlyrz11lu4u7vbrl2zZk2hJqusVit+fn6MGjUq2/O+vr6F1paIiIiUDIcPH6ZJkya2/wwCuLu707hxYw4dOpSrD+zTpk0jNTWVjRs3snHjxqIMt9AVtP+enp5ZjlWuXBlI/+txSVYUfTcYDFitVry9vQs93sJWGD/7SUlJzJw5k3r16vHYY48pWSV5VlqmQtlDfu+vK1euZMOGDSxYsCBTkicsLIwJEybQvXt3HnrooRyvz83vtNzeP65fzuffUlJSbnq/LOq+JCUlsX79enx8fHjmmWfYu3fvTfvyzTffsGHDBl5++eUcY7qR4np+C8ttOw0Q0qcCxsbGcujQIXbv3k1KSoptCuC1a9eIi4ujTZs2mRJVueXo6AiQq6RWhQoViImJoUWLFrRp0ybLV61atfLcvoiIiJRsISEh2f5Byt/fP9fTLOrUqUODBg0oX758YYdX5Aqj//924sQJAKpWrVqg2IpaYfY9KSmJc+fOMX/+fHx9fenTp09hhVlkCtp/i8XCggULcHBwYPz48ZlGf4jcTGmbClVS5Ob+OnjwYGrXrs2kSZO4cuUKkL5m1MSJE6lVqxZDhgy5YRu5+Z1WkPtHXu6XRdmXjHtYamoq7dq1y3IPy6kvJf35LWy3dbKqY8eOGI1GgoKCbOtGNW7cGICyZcvi4ODA5cuXM11z5syZLMeyk5HpPHXqVKbjBw8ezFK2ffv2JCcn8/nnn2c5Fx8fz8WLF3PdJxERESkd4uPjcXFxyXLc1dW1xI8MKgyF3f+0tDSWLl2Ku7t7pvVHS6LC6rvZbKZ///48++yzhIaGMmvWLMqUKVOYoRaJgvZ/8eLFnDt3junTp2eaCimSG6NGjWLcuHFcuHAhxzLXT4Xq0KEDHTp0YPbs2aSkpLBu3TpbuWnTpvHYY49l+SpNo6hyI7f3VwcHB6ZMmUKNGjWYNGkSJ0+eZOLEidSsWZMpU6bYBnQURH7vH9ndLw8dOsT//d//cfr0aRYvXsz48eOLpS8Z9zCr1ZrtwJic+nKjmO6++27GjRuXbV/yojB/N+/YsSPH5zc3bttpgIAtObVnzx7S0tLo3bs3JpMJAJPJRNeuXdm4cSMLFy6kZs2anD9/ni1btmC1WilXrtxN627atCnbtm2jTJky+Pn5cfTo0WyTVd27d2fXrl0sX76c48eP06xZM1xcXPj777/Zs2cPjz32GFWqVCmS50BERETsJ2NH4utZrVY7RGIfhdV/q9XKO++8w8mTJ5k8eXKpSNgURt9NJhMLFy7k2rVr7Nixg+eee44XX3yRli1bFlaYRSa//d+/fz9btmzh1Vdfxc3NjZSUFNs5i8VCSkoKDg4O2dYvAqVvKpS95fX+mpFQmTNnDmPGjKFVq1aFlqjKkJ/7R073y7fffjvHa4qiL9ffw0aPHo3VarXdxzLuYTfaMOJGMXXp0iXfcV2vsH43BwYGEhgYmP848n3lLaJTp04kJSWRlpaW5Yl8+umn6dmzJ/v27eOLL77g8uXLTJs2jfr16+eq7vHjx9O+fXu2bNnCV199haOjI++8806WciaTiZdeeonHH3+chIQEvvvuO77++mvOnz9Pv379aNOmTWF0VUREREoQd3f3bJcLSExMzNcSBKVNYfb/gw8+YPPmzYwePZp77rmnsEIsMoXZ9wYNGtCmTRsmTpxI5cqVWbRoUWGFWWQK0v+YmBji4+MZNWoU/fr1s32Fh4ezbds2+vXrZ1v7RSQ7pW0qlL3l5/4aGxvL5cuX8fDwIDQ0tFA3DCvI/SM/98vC7sv19zCLxcJ3332X5R529uzZG/alpD6/he22HlkF6aOaclqIzMXFheeff57nn38+0/GM3QKvl93CfD4+Prz44ou5Kuvg4MCgQYMYNGhQbkMXERGRUqxy5cqcP38+y/Hz58/bFrK9lRVG/y0WC++88w6bNm1i7NixdO3atbDDLBJF9dpXrFiRffv2FSS0YlGQ/rdq1YqFCxdmOT579mzq1KnDsGHDNCNBCqywp0KtXLmSixcvsnjxYr7//nteffXVwgq1yOT3/hoVFcWkSZPw8/PjjTfe4OWXX2bSpEm88sor+Pj4FDiuwrp/5uZ+WRR9uf4e9vbbb+Pi4sJTTz2V6R726aef5tiX0vL8FobbfmSViIiIiD00bdqUP//8k7i4ONuxuLg4jh07RvPmzTOVvXTp0g3XVymNCtr/lJQU5s2bx/bt25k6dWqpSVRBwft+9erVLHUmJiZy4sQJatSoUSQxF6aC9N/Ly4sGDRpk+XJ0dMTT05MGDRqUimmgUvIV5lSot99+m5UrV/Lxxx+XikRVfu+v0dHRTJo0ifLlyzN9+nTc3d2ZPn065cqVY9KkSURGRhY4trzcPyD/98ui6sv197B27doRHBxM1apVbfewqlWr8tdff2Xbl5L4/Bal235klYiIiIg99O7dmx9//JEZM2Zw//33A7Bq1SpcXFzo1atXprKTJ08mPDw8y+js4OBg0tLSiIqKAtI3ggHw8/Mr8R/YC9r/N954gz179jB8+HBcXV05fPhwpmsCAgJK7OLbBe37+++/T0xMDB07dqRChQpERkaydu1aoqKimDx5cnF2JV8K42dfpCiVpKlQ9pDf++vWrVvx9vZmxowZtvNOTk7MnDmT6dOns23bthvOJMrN77S83D8g//fL4u5LcnIyYWFhzJgxI8e+lMTntygZrLfTKp4iIiIiJcjZs2dZsmQJx48fx2Aw0LBhQ5588kmqV6+eqdyIESOy/cCecfzfxo4dS7du3Yo09sJQkP5PmDCB33//Pce6P/vsM9vuzCVRQfq+b98+Nm7cSHBwMBEREXh4eFCzZk2GDh3KnXfeWdxdyZeC/uz/24gRI2jcuDHjxo0ryrDlFvLll1/y1VdfZfuzNXbsWNzd3bMsoD5lyhSSk5N5/fXXiytMuyjI/TUlJSXbRFZOx6+X299pub1/QMHul8XZl8OHD2MymWjatGmOfSnumHLz/BYlJatERERERETktnKjZNXnn3/OqlWr+Pzzz207AsbFxTF8+HAGDx7MQw89VNzhitx2NA1QREREREREbgulbSqUyO1KI6tERERERETktlDapkKJ3K6UrBIRERERERERkRIj636cIiIiIiIiIiIidqJklYiIiIiIiIiIlBhKVomIiIiIiIiISImhZJWIiIiIiIiIiJQYSlaJiIiIiIiIiEiJoWSViIiIiIiIiIiUGEpWiYiIiIiIiIhIiaFklYiIiIiIiIiIlBhKVomIiIiIiIiISInhYO8ARERERERE5NYVHx/P2rVr2b17NyEhIVgsFvz8/KhVqxYdOnSgTZs2GI1FM44iNjaW1atX07hxYxo3blwkbYhI4VOySkRERERERIrEuXPnmDFjBleuXKFt27Z06NABo9HIxYsX2bt3Lzt27OCZZ56hX79+RdJ+bGwsX331FYCSVSKliJJVIiIiIiIiUugSExOZOXMmMTExzJs3j6ZNm2Y6//TTT/P9999jMBjsE6CIlFgGq9VqtXcQIiIiIiIicmv54YcfWLx4MU899RT9+/fPsZzZbMZkMgHpCa5vvvmGnTt3EhERgaenJx06dGDEiBE4OzvbrunZsyedOnXi7rvv5rvvvuPs2bN4e3tz7733MmTIEIxGI2FhYTz66KNZ2vPz82Pp0qU3jX/Tpk38+OOPnD9/HldXV2rWrEnXrl3p3Llz3p8MEckTjawSERERERGRQrd7925MJhM9evS4YbmMRFVKSgqTJ0/mzJkzdOvWjSpVqhASEsLatWsJCQlh1qxZma7btWsX+/bto1u3btx9993s3r2bpUuXUq5cObp160aZMmV4+OGH+eKLL2jdujWtW7cGwNXV9aaxf/DBB6xevZo777yTYcOGkZaWxt69e3n//feVrBIpBkpWiYiIiIiISKELDg6mSpUquLm55ar8qlWrOHXqFK+88gqNGjWyHb/jjjtYuHAhp06dom7durbjVatWZdasWfj6+gLQt29fHnzwQbZt20a3bt1wc3MjMDCQL774grp169KrV69cxfHnn3+yevVqunXrxn/+8x/bNMWHHnqIvXv35rb7IlIARbPlgoiIiIiIiNzWEhIScHd3z3X5oKAg6tSpQ4UKFbhy5Yrtq169egAcP348U/kaNWrYElUATk5OVKxYkbCwsALFvXPnTgCGDx+eZT2ttm3bFqhuEckdjawSERERERGRQufm5kZCQkKuy4eEhJCcnMwjjzyS7fnY2Nib1uHi4kJUVFSu28zOpUuXcHV1xc/Pr0D1iEj+KVklIiIiIiIiha5q1aqcPHmS+Pj4XI2wslgs1K9fn2HDhmV7vnLlyjetozB2FtQeZCL2p2SViIiIiIiIFLo2bdpw7Ngx1q9fz6BBg25avkKFCsTFxdGmTZtCi8FoTF/5xmKx5Poaf39/Dh06RHh4uEZXidiJ1qwSERERERGRQnfffffh7e3NF198waFDh7KcN5vNrF27lqCgIADat29PSEgI69aty1I2KiqK8PDwPMfg4+ODwWDg4sWLub6mXbt2AHz99ddZzh05ciTPMYhI3mlklYiIiIiIiBQ6Dw8PZsyYwfTp05k2bRotW7akUaNGODg4EBoayv79+wkNDWX8+PEADBkyhH379vHuu++yf/9+AgICMBqN/PXXX+zbt49p06bleaSTk5MTAQEB/Pzzz7z33nv4+vqSlJSU47pYAC1btqRDhw5s3LiRy5cv06JFC1JTU9m/fz/R0dEsXbq0QM+LiNycklUiIiIiIiJSJOrXr8+iRYv44YcfOHjwIF999RUWi4Xy5cvTuHFjnn/+eZo1awakL8i+cOFCli9fzs8//8zhw4dxdXWlcuXKPPTQQ9SvXz9fMYwbN4733nuPbdu2YbVaadmy5U2vmTBhAnXr1mXLli18+eWXuLm5Ubt2bYYMGZKvGEQkbwxWrR4nIiIiIiIiIiIlhNasEhERERERERGREkPJKhERERERERERKTGUrBIRERERERERkRJDySoRERERERERESkxlKwSEREREREREZESQ8kqEREREREREREpMZSsEhERERERERGREkPJKhERERERERERKTGUrBIRERERERERkRJDySoRERERERERESkxlKwSEREREREREZESQ8kqEREREREREREpMZSsEhERERERERGREuP/ATYdhIppGXYoAAAAAElFTkSuQmCC", "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": 23, "id": "a9c21674", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": 24, "id": "5c3e3686", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "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": 25, "id": "44a5a75d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": 26, "id": "f7646a57", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "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": 27, "id": "601aff6f", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "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) to everyone in the network as quickly as possible, which nodes would you choose?\n", "- If you want to understand who connects different communities, which nodes would you choose?\n", "- If you would like to understand which person knows who the most prestigious people in the network are, 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": 67, "id": "f8dc03e4-8aa1-4230-9b7b-89986a3f0416", "metadata": {}, "outputs": [], "source": [ "# Read edgelist\n", "df = pd.read_csv(f\"{path_data}/ic2s2_netsci_3.tsv\", sep=\"\\t\")" ] }, { "cell_type": "code", "execution_count": 68, "id": "dcbf609e", "metadata": {}, "outputs": [], "source": [ "# Convert to networkx\n", "Gt = nx.from_pandas_edgelist(df, create_using=nx.DiGraph())\n", "Gt.remove_edges_from(nx.selfloop_edges(Gt)) #remove self-edges\n" ] }, { "cell_type": "code", "execution_count": 69, "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": null, "id": "cd7c94e9-2a97-4e04-90dd-0c0da6fed5df", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 71, "id": "52dda444-a6ac-4549-a105-8fc26f17d7c3", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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closenessbetweenesshubspagerank
barabasi0.504365NaNNaN0.006019
netscisociety0.495493NaNNaN0.006048
tinaeliassi0.493404NaNNaN0.005638
IC2S20.492765NaNNaN0.005311
tiagopeixoto0.4914910.0292110.005837NaN
NUnetsi0.490698NaNNaNNaN
alexvespi0.4902240.027481NaN0.005475
clauwa0.489593NaNNaN0.006440
cosnet_bifi0.488806NaN0.0048870.005534
manlius840.4886490.0463920.0068360.005571
HirokiSayamaNaN0.0330230.0059700.005433
svscarpinoNaN0.0329500.006155NaN
foucaultwellesNaN0.032268NaNNaN
ShugarsNaN0.029733NaNNaN
lordgriloNaN0.0262630.005643NaN
dashunwangNaN0.025317NaNNaN
ryanjgallagNaN0.024260NaNNaN
fede7jNaNNaN0.005511NaN
MassimoStNaNNaN0.005454NaN
PiratePeelNaNNaN0.005136NaN
dinacmistryNaNNaN0.004869NaN
Networks2021NaNNaNNaN0.005318
\n", "
" ], "text/plain": [ " closeness betweeness hubs pagerank\n", "barabasi 0.504365 NaN NaN 0.006019\n", "netscisociety 0.495493 NaN NaN 0.006048\n", "tinaeliassi 0.493404 NaN NaN 0.005638\n", "IC2S2 0.492765 NaN NaN 0.005311\n", "tiagopeixoto 0.491491 0.029211 0.005837 NaN\n", "NUnetsi 0.490698 NaN NaN NaN\n", "alexvespi 0.490224 0.027481 NaN 0.005475\n", "clauwa 0.489593 NaN NaN 0.006440\n", "cosnet_bifi 0.488806 NaN 0.004887 0.005534\n", "manlius84 0.488649 0.046392 0.006836 0.005571\n", "HirokiSayama NaN 0.033023 0.005970 0.005433\n", "svscarpino NaN 0.032950 0.006155 NaN\n", "foucaultwelles NaN 0.032268 NaN NaN\n", "Shugars NaN 0.029733 NaN NaN\n", "lordgrilo NaN 0.026263 0.005643 NaN\n", "dashunwang NaN 0.025317 NaN NaN\n", "ryanjgallag NaN 0.024260 NaN NaN\n", "fede7j NaN NaN 0.005511 NaN\n", "MassimoSt NaN NaN 0.005454 NaN\n", "PiratePeel NaN NaN 0.005136 NaN\n", "dinacmistry NaN NaN 0.004869 NaN\n", "Networks2021 NaN NaN NaN 0.005318" ] }, "execution_count": 71, "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)[0]) #0=hubs, 1=authorities\n", "ec = extract_top_10(nx.pagerank(Gt))\n", "\n", "df = pd.concat([cc,bc,ac,ec], axis=1)\n", "df.columns = [\"closeness\",\"betweeness\",\"hubs\",\"pagerank\"]\n", "df" ] }, { "cell_type": "markdown", "id": "09dd06dc-8cbf-47b9-b5c3-366021b1731f", "metadata": {}, "source": [ "### Doing the analysis on the PPI network" ] }, { "cell_type": "code", "execution_count": 72, "id": "888f8dee-e210-4e73-b958-c90fbbd8e1fb", "metadata": {}, "outputs": [], "source": [ "# Read PPI network\n", "path_network = f\"{path_data}/ppi_network_prediction.graphml\"\n", "G = nx.read_graphml(path_network, node_type=int)\n", "len(G.nodes()), len(G.edges())\n", "\n", "# Add labels\n", "mapping = {node: data['label'] for node, data in G.nodes(data=True) if 'label' in data}\n", "G = nx.relabel_nodes(G, mapping)" ] }, { "cell_type": "code", "execution_count": 74, "id": "77daab8b-f54e-4537-9771-7b6360185945", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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closenessbetweenesseigenvalue
YLR291C0.2555400.2780880.549200
YLR423C0.2256820.1062860.168824
YPL070W0.224041NaN0.229997
YCL028W0.2224970.0541340.140249
YDR510W0.2195430.122370NaN
YGL153W0.2180600.062695NaN
YHR113W0.217430NaNNaN
YFL039C0.216045NaNNaN
YOL034W0.215564NaNNaN
YLR245C0.215017NaN0.128373
YBR261CNaN0.0721650.243301
YNL189WNaN0.0525350.180540
YNL044WNaN0.051762NaN
YLR350WNaN0.049379NaN
YDR100WNaN0.047702NaN
YPL049CNaNNaN0.136923
YPL088WNaNNaN0.131388
YBR080CNaNNaN0.131248
\n", "
" ], "text/plain": [ " closeness betweeness eigenvalue\n", "YLR291C 0.255540 0.278088 0.549200\n", "YLR423C 0.225682 0.106286 0.168824\n", "YPL070W 0.224041 NaN 0.229997\n", "YCL028W 0.222497 0.054134 0.140249\n", "YDR510W 0.219543 0.122370 NaN\n", "YGL153W 0.218060 0.062695 NaN\n", "YHR113W 0.217430 NaN NaN\n", "YFL039C 0.216045 NaN NaN\n", "YOL034W 0.215564 NaN NaN\n", "YLR245C 0.215017 NaN 0.128373\n", "YBR261C NaN 0.072165 0.243301\n", "YNL189W NaN 0.052535 0.180540\n", "YNL044W NaN 0.051762 NaN\n", "YLR350W NaN 0.049379 NaN\n", "YDR100W NaN 0.047702 NaN\n", "YPL049C NaN NaN 0.136923\n", "YPL088W NaN NaN 0.131388\n", "YBR080C NaN NaN 0.131248" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cc = extract_top_10(nx.closeness_centrality(G)) #slow (all distances)\n", "bc = extract_top_10(nx.betweenness_centrality(G)) #slow (all shortest paths)\n", "ec = extract_top_10(nx.eigenvector_centrality(G))\n", "\n", "df = pd.concat([cc,bc,ec], axis=1)\n", "df.columns = [\"closeness\",\"betweeness\",\"eigenvalue\"]\n", "df\n", "\n", "#YLR291C: Involved in regulation of translational initiation. \n", "#Essential gene; conditional mutants are defective in autophagy and in Golgi localization of reporter proteins" ] }, { "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": 49, "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" ] }, { "data": { "image/png": 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", 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2V1VVRVmQysj7fxtwV9sIEagTKMHPwkUrL6b2/14Buw10rWUruZzoNZXYPnkD84W/xpjhXw/TkQDxraKiIgwGA8nJyb6uihCtVlNTQ1JSkq+r0SZ+8xdLr7Nj++/rx8+rtGWkTtOwf/EuyqW/wxCX4vkKnoEEiP+yWq0kJiZikhP0IsDouh6wEyjBh+EyceJEcnNzG5VFBpsZ1DWJB6eNZVzP9BZv68klefzl01VUvfJH7MvfI/iXd3r8RL8ESOCpqamhuLhYbo0vAlJdXR0ul0vCpS2ys7OZP38+WmUZNV+8y7HKat7I28yMF99j5R9uoG9KfCu3qKNXleP8cTOmPsNbXR8JkI6lqKgIVVVJSfFuT1YIT6itrQUCcwIl+DhcIiIiGDlyJPZVS3D2SAfNxfl9upFx3/MsWruVJy+/oPUbdTlxbFmFsfewZh8XKwHSeVitVhISEggK6lhXEorOIZDnuICfnHNx5n/vviIsJMiExWREaXDDwX9v2s4Ly9bx4+FiQs1BTB/Uk8dmTCQ6tPEPfcl3u3h48dcUlpQz4JmFPPjHhxgyZIgESCdks9k4duwYQ4fKvBURmGpqalAUBYvF4uuqtIlP/3rquo6jqgJnVSU6OiVVtcz/aiN2p4trxxy/6+3Tn61izn/z+M2EITx6yUT2Hitlzn/z2JBfxNcPzCI46OSJ2lvf/pSHfj6etNho5q7YwhVXXMHcuXPp0aOHBEgnU1RUBEBqaqqPayJE2wTyBErwcbjk5eURFB7ZpPxPMybSKymO0upa5n62muvGDGbeVRe53++bEs/P/voO76zdym8mnPxk+txVP+OXw/uhKQZGXXIF5828jY0bN3LPPfd4pT3Cf1itVuLj4zGbzb6uihBtEqhPoKzn03AZMmQI8//8GHUrP0Z3OSmrsbFs2x4e+3gF1fY6RmV1we50ccV5/RqtN6ZHV7rGRJK3a787XAyqwowhvQFQVYXE+DimTp3KkiVLvN4u4Vt2u50jR46QnZ3t66oI0WaBPIESfBwu4eHhDB81mtr969xzWy7om0m13cG8z9fR/doYABIjQ5usmxgZSnmt3f06JjQYU/0DnBQFxRJCQkICpaWl7d8Q4VcOHDiArusyJCYCWk1NDVFRUb6uRpv5fDBPCY8GtXHGDeiSgFPT2F9cDsDh8uom6x0qryI27GSXsaLWjvs2aZoLNS6FQ4cOBeTjQcW5sVqtxMXFBfSQgujcdF0P+J6L78NFUVCTG0+Y3JBfhEFVuHF8NmajgQ82/NDo/TU/FVJYUsGorC7uMrvTRe6u/QC4UCgor+HTTz9l0qRJ7d8I4TccDgeHDx8mLS3N11URos3sdntAT6AEHw+LVVRUsG7dOpyOEBz7DlHnqOPTLT/y/oYfuH7cYBIjwrjnZ6P4y6erMBlVpg/qyb5jZcxZkkfv5DiuGX3yOeomg8otb3/Cny49H3tUIi/8dTpVVVVcffXV2Gy2gL2cT7TOgQMH0DRNhsREQAv0CZTg43DZvHkzo0aNcr+2mIx0i4/i0UsmcPeUkQD88eLxJEaG8crXm3hr9RZiQoO5dEhvHvn5BEIaXIYcHRrMnMvO59GPVnCoqpYhQ4bw4IMPUl1dzSeffEJKSgqZmZkkJiY2O7lSdAxWq5WYmBhCQ5uepxMiUAT6BErwo+e5aMWHqF38MmgtvBtycwxGgkZPw9T35L2k7HY7+/fvJz8/n4qKCkJDQ8nMzCQjIyOgD5xoyul08vHHH9OvXz969+7t6+oI0Wa7d+9my5YtXH755QH7YdhvZhCqsUkEjb+UuryP2hYwBiOGzH4YT7mnmNlspmfPnvTo0YPi4mLy8/PZvn0727Zta9SbCdSJSuKkgwcP4nK55HyLCHj1EygDNVjAj8IFwNRrCIqqYl+x+PilyS19pouqYuw9lKAx0097MBRFIS4ujri4OAYPHuzuzaxcuZKQkBC6detGt27dAnqMs7OzWq1ERUURFhbm66oIcU4CfQIl+Fm4ABh7DEZN6IJ9xX/QDheCwul7MqoBJTgM88TLMaRltXgfQUFB9OjRg+7du1NSUkJ+fj67du1i+/btJCcnk5mZSVJSkvRmAojL5eLgwYP06tXL11UR4pwF8nNc6vlduACokbEEX/JbtOJDOHZuwlWUj15+7MTNLRWU8EjUhK4Yew3BkJaForQtBBRFITY2ltjYWAYPHkxBQQH5+fmsWrWK4OBgd29GTg77v8OHD+N0OunSpcvZFxbCz9XW1hIbG+vrapwTvwyXempsEuYx092vdc0Fitou45Amk4msrCyysrLcvZkff/yxUW8mOTlZejN+ymq1EhERQUREhK+rIsQ56QgTKMHPw+VUimrwyn5iYmKIiYlh0KBBFBYWkp+fz+rVq7FYLO7ejIzr+w+Xy0VRURHdu3f3dVWEOGc2mw1N0yRcOjKTyURmZiaZmZmUlpaSn5/PTz/9xI4dO0hMTCQzM5OUlBQMBu+Enmje0aNHcTgccpWY6BA6wgRKkHBpsejoaIYOHdqoN7N27VrMZrO7NxMeHu7ranZKVqvV/bweIQJdR5hACRIurWY0Gt1hUl5eTn5+Pnv27GHnzp0kJCSQmZlJamqq9Ga8RNM0ioqKyMjICOg5AULUq6mpQVXVgH8WkYTLOYiMjCQ7O5sBAwZQVFTEnj17WLduHWazmfT0dDIzM+UEczs7duwYdrtdhsREh1F/Mj/QPyxJuHiA0WgkPT2d9PR0KioqyM/PZ9++ffz444/Ex8eTmZlJWlqa9GbagdVqJSQkhJiYGF9XRQiP6AgTKEHCxeMiIiIYPHiwuzeTn5/P+vXr2bx5s7s3ExnZ9NHOovV0XcdqtdKlS5eA/5QnRL2ampoOcTWqhEs7MRgMdO3ala5du1JZWenuzezevZu4uDh3b8ZolEPQVsXFxdhsNhkSEx1KbW1th3jIofxl84Lw8HAGDRpE//79OXDgAPn5+WzYsKFRb0audGo9q9WKxWIhLi7O11UR4pzU1dXhcDpxuVyYTCaCg4PRdT2ge+R+c8v9zqaqqsrdm7HZbMTExJCZmUnXrl2lN9MCuq7z6aefkpyczNChQ31dHSFaTdM0qqqrKSsrw+FwuIPE6XRiMBgwGo1ERUYSFh6OIQDvDCLh4mOaprl7M4cOHXJfHJCZmUl0dLSvq+e3SkpKWL58ORMmTCAxMdHX1RGiVSqrqjh69Chw/IPS6SiKgq7rxMbEBNzohnxE9jFVVUlLSyMtLY3q6mr27t3L3r172bNnD9HR0e7ejMlkOvvGOhGr1UpQUBDx8fG+rooQrVJaVkZJSUmLlq0PnuKSEhxOJ3GxsQEzVBZ4fa0OLDQ0lP79+zNt2jTGjBmDxWLh22+/ZcmSJWzcuJGSkpIzfsrpLOqvEktNTZUbiQq/MnHiRBRFYfTo0c2+X1lZybXXXEP3rCzunz0bgO5ZWbzwwgsArFu3ju5ZWaxbt67JuhUVFZSWlbVb3T1Nei5+SFVVUlNTSU1Npaamxt2b2bt3L1FRUe7eTFBQkK+r6hPl5eVUVVWRnZ3t66oI0YSqqqxbt47CwsJGj4BwulzsLyjg66+/brT8h//+N0lJSS3admlpKaGhoZgD4P++fOzzcyEhIfTr14+pU6cybtw4QkJC2Lx5M0uWLGHDhg0cO3as0/VmrFYrJpOpQ1yuKTqeIUOGYLFY+PDDDxuVV1RU8OWXX2K2WEhsECbZ2dkkJye3ePvl5eUeq2t7knAJEKqqkpyczNixY5k+fTp9+vThyJEjfPXVVyxbtozdu3dTV1fn62p6hdVqlbtRC78VGhrKtGnT+OCDD9xluq5TXl7Op598Qk5ODsYGv7sNh8VOZbfbmTVrFkOHDGHbtm3A8StNX3vtNfr164fZbKZr16786U9/wul0tm/DWknCJQAFBwfTt29fpk2bxvjx4wkPD+e7775jyZIlrF+/nqNHj3bY3kxFRQUVFRUycVL4tSuvvJL169dTUFAAQE1tLRUVFeTm5nLxxRe3aBtOp5O777qL77du5a233qJ///4A/H3+fH73u98xefJklixZwu23387TTz/NzTff3G7taQs55xLAFEUhKSmJpKQkbDab+7zM/v37iYiIoFu3bmRkZAT83VUbslqtGI1GufxY+LVp06YRFhbGhx9+yL333oujro5ln39OTEwMw4YNO+v6uqZx//33s27dOt56+236DxgAHL8g4OWXX2bmrFnu3s6UKVOIjY3lpptu4p577qFfv37t2raWkp5LB2GxWOjTpw85OTlMmDCByMhIvv/+e5YsWcK6des4cuRIh+jNWK1WkpOTZaKp8GvBwcFcfPHF7qExl8vFJ598wvTp01t0KfHcuXP578cfM2vWLAYOHOgu//bbb6mtreXCCy/E6XS6v+p7Q1988UX7NKgNJFw6GEVRSExMZNSoUUyfPp3+/ftTWlrKihUr+N///sfOnTux2Wy+rmabVFVVUVZWJkNiwm+4XC6qq6spLi7GarVSW1tLdXU1GzdupH///mzYsIHXX3+dtWvXsmbNGqZPn96i7ebn5zNixAgWLFjAwYMH3eVlJy5FvubqqzGZTO6v+p78gQMHPN7GtpKPfx2YxWKhd+/e9OrVi6NHj5Kfn8+2bdvYtm0bqampZGZmkpCQEDCTsqxWKwaDocWXbQrRFrqu43A4sNls7q/a2tpmvz/1IpqqqipUVaW8vJyRI0cSFhbGrl27OHLkCGlpae7hrbN58sknGTVqFFOmTOHRRx/ltddeA3A/H+qVV19l6JAhTdbzp+FiCZdOQFEUEhISSEhIwG63s3//fvLz88nNzSU0NJTMzEwyMjL8/hkSVquVpKQkuVuBaBNd17Hb7Y0ComFQNHztcrkarWs0GrFYLO6vyMhILBYLwcHBjcrnz58PwOTJkwG47LLLWL16NaGhoUxv4Yl8gLj4eGLj4rjvvvt4+OGH+fSTT5g2fTqDBw/GFBRESXFxo3M3W7du5Z577uGRRx5pNLfGlyRcOhmz2UzPnj3p0aMHxcXF7Nmzh+3bt7Nt2zZSUlLIysoiMTHR73ozNTU1lJSUMGLECF9XRfgZl8vVol6GzWZrct4xKCjIHRKhoaHExsY2Coz679v6gebKK69k+vTpqKrKI4880ur1f3XVVfxn8WIef/xxxowdS3R0NLf87nc89thj1NTUMHHiRIqKinj44YdRFIVBgwa1qZ7tQcKlk1IUhbi4OOLi4sjOznb3ZvLy8ggJCXH3ZkJCQnxdVeB4r6V+ro/oHOqHpk4XFvXfnzo0pShKo95EdHR0k7Co/2rvuVIXXnghUVFRdO3aleHDh3OgwfmTllAUhTlz5nDpjBk8+cQTPPvXv/LEE0/Qq1cvXn75ZebOnUt0dDSTJ0/mz3/+s189iFDuiizcdF2npKSE/Px8CgoK0DSN5ORkMjMzSUpK8ul9vL7++muMRiPjxo3zWR3EuWs4NHVqSJzayzh1UqDBYGg2IOpf1/9rNpv9rucNx9tedOAAdru9zdswGo10SUsLiHvqSbiIZtXV1VFQUEB+fj5lZWWEhISQkZFBZmZmu/VmdE2j+se9lH+3A0dxGagKwWlJmPtmsWzTeoYNH05mZma77FucG03TzjokVf/6dENTpwbHqSFiMpn8MjRaw+VyYS0qatNselVV6RJAT6+VcBFnpOs6paWl7t6My+UiKSmJzMxMkpOTPfIJqmZvIfvmL6LgHx+g1dpQLWbQNXQUFMBVW4sWE0nv+39Lxg1XYIqKOPeGiRY53VVTpwbHqZ/GFUXBbDaftZfhjaEpf+NyuThw8CAOh6NFc88UwGA0kpKcHFAXs0i4iBZzOBzu3kxpaSnBwcHu3kxoaGirt6c5nex5+lV2PzkfRVXR7Ge+N5oabEE1BzHojb+Q9PPJbW1Gp6frOnV1dS26aup0Q1Nn62mYzeaAGLrxFU3TqKyspKy8/LS9GEVRUBWFyMhIIiIjA+5plBIuok3qezP79+/H6XS6ezMpKSkt+qPiKK9kfc4NVH6/C83WujFoxWSi62+uoN+8h1AC7D9ce6ofmmrJVVOapjVa12QynTEsGl41FehDU/5E13VsNhvlFRU4HQ40TUNRVYxGIxHh4YSEhATsz1vCRZwTp9NJYWEh+fn5FBcXY7FY3L2ZsLCwZtdx1dSyZsKvqdrx01l7K6ejWsx0ueGX9H/h4XOpfkBwOp0t6mU0d6K4Jb0Mi8USMOP4InBIuAiPKSsrc/dmHA4HCQkJZGVlNbk9/ra75lD45gdotnN7RIASZGLIu88H5BBZw6Gps/UyHA5Ho3VVVW1RL0OGpoQvSbgIj3M6nVitVvLz8zl27Bhms5mlS5fy6quvUrLmW9aefw36Wa6WWa6V87x2mDcM3UhUTn8S0xgVwfk/fYUpMtzTzWgTTdOw2+1nnZtxpqGpswWHDE2JQCB9YeFxRqORjIwMMjIyKC8vd1/ODLDunjnop9xa41xo9jqsby2m252zPLbN5tQPTZ3tqqnmbgra8KqpiIgIEhISmr1qSoamREciv82iXUVGRpKdnU3Pnj0B0L7dDh7sLGu1NvKf/2ebwqXhDQrPdj7jdENT9V+xsbGnPZ8hQ1OiM5JwEV5R/wfWEGzBVV3LZq2ad7US9mHHAAxRQrlOjSP+lCGwnXotz7gOsgc7URi4WI3iMjUGgMO6gxtde/n9/kpemjad5Xm5GI1GLrvsMp566imMRuNZexnN3aCwYThERkY228sICgqSoSkhzkDCRXiVy2bna62Cv2qHGKeE80slmgo0/qUd4z5XIS8YuhKlnPy1nK8d4Ro1lmuIZalezpvaMdII4jz15JVoL2lHyKms5aGHHuKHH37gn//8J8XFxfz61792L2M2m93BEB4eTnx8fLPnM2RoSgjPkP9Jwqs0p4s3taMMVkJ4wHDyJpR9FQu3uPbzkVbK9YZ4d/ksNY6pahQAvfVg1rv2sEWv4TxOhstwQxg3nzeByAsuYPr06ezevZudO3cyefJkGZoSwkfkf5zwqiLqKMXFRKXx1V3JShC9sbBVr2lU3k85+YwZi6ISjYFqGl9l1dcURla3TIYNG0a/fv3o0aMHdXV1xMTEEBISIsEihA/I/zrhVZUngiG6mU5ztGJsEhyWU35FFeDUywHMioopNsr9WlXVJpf5CiG8S8JFeNzGjRu5//77G90zyeVyYTaZiAw+fkflUprOcynVnUTQ+psYag4Hkdl9215hIYTHSbgIj/vhhx945pln2Lt3r7usoKCA1OQUUhwK0RhYoVc2WueQXsdOaumrtP5Ry2pQEKE9Ms612kIID5JwER43ZcoUQkNDuf3221m+fDkvv/wy77//Pr+65moiemcxS43jO72Gp10H2aRV85VWwUOuIsIwcKka3er9xU4cITewFMLPyNViwuNSUlL4+OOPefDBB7nkkkuIjIzkrrvu4tFHH+XogGVMuelBgmtVPtRKeEI/QAgqQ5UQZqpxRCut/5WMnTSyHVohhDgXcm8x4VW6rrPugmspXbcZ3dH6p/E1pFrMdP/DLfR48BYP1U4I4SkSLsLragsPkjfk5zjLK9t8KxjFHETkoN6Myn0XVSY+CuF3ZKBaeJ0lLYnovz+MHmyGNgSDagkivG93zvvsTQkWIfyUhIvwul27drFPs5H16avEjB6Caglq2YqqimI00vWmKxmd+67f3GZfCNGUDIsJr9q3bx8bNmygb9++9O/fH13XOfjBZ/z01CtU7dyDag7CVWM7OVxmMGCwmNFsNuKmjKPHH24leuRgn7ZBCHF2Ei7Caw4dOsTKlSvJyMhg2LBhTe4qXLntR0rXbqZs41Zsh46iGFRCs9KJHDaA2HHDsaQm+qjmQojWknARXlFSUsKKFSuIj49nzJgxcr8vITo4+R8u2l1lZSUrV64kIiKCUaNGSbAI0QnI/3LRrmw2GytXriQoKIhx48bJ81KE6CQkXES7cTgcrFy5EqfTyfjx4zGbzb6ukhDCSyRcRLvQNI21a9dSWVnJuHHjCA0N9XWVhBBeJOEiPE7XdTZu3MiRI0cYM2YM0dGtvxmlECKwSbgIj/v+++/Zv38/5513HomJcvmwEJ2RhIvwqPrn1w8aNIiuXbv6ujpCCB+RcBEeU1hYyObNm+nVqxe9evXydXWEED4k4SI84siRI6xfv56uXbsycOBAX1dHCOFjEi7inJWVlbF69Wri4+MZPnx4k9u6CCE6HwkXcU6qq6tZuXIloaGhjB49GoPB4OsqCSH8gISLaDO73c7KlStRVZVx48ZhMpl8XSUhhJ+QcBFt4nQ6WbVqFXa7nfHjxxMcHOzrKgkh/IiEi2g1TdNYt24dZWVljB07lvBweWiXEKIxCRfRKrqu8+2333Lw4EFGjx5NbGysr6skhPBDEi6iVbZv305+fj7Dhg0jOTnZ19URQvgpCRfRYvn5+fzwww/079+fbt26+bo6Qgg/JuEiWuTAgQN88803ZGVl0adPH19XRwjh5yRcxFkdO3aMtWvXkpKSQnZ2tkySFEKclYSLOKOKigpWrVpFdHQ0I0eOlEcUCyFaRP5SiNOqra0lLy8Pi8XC2LFjZfa9EKLFJFxEs+rq6li5ciW6rjN+/HiCgoJ8XSUhRACRcBFNuFwu1qxZQ3V1NePHjyckJMTXVRJCBBgJF9GIruts2LCBY8eOMXbsWCIjI31dJSFEAJJwEW66rvPdd99RWFjIyJEjiY+P93WVhBABSsJFuO3atYvdu3czZMgQ0tLSfF0dIUQAk3ARAOzfv5+tW7fSp08funfv7uvqCCECnISL4NChQ2zYsIFu3brRv39/X1dHCNEBSLh0cqWlpaxZs4akpCSGDh0qs++FEB4h4dKJVVVVkZeXR0REBKNGjZLZ90IIj5G/Jp2UzWYjLy8Pk8nE2LFjMRqNvq6SEKIDkXDphBwOB6tWrcLpdDJ+/HgsFouvqySE6GAkXDoZTdNYu3YtFRUVjBs3jrCwMF9XSQjRAUm4dCK6rrNp0yaOHDnCmDFjiI6O9nWVhBAdlIRLJ7Jt2zb27dvH8OHDSUxM9HV1hBAdmIRLJ7F792527NjBoEGDSE9P93V1hBAdnIRLJ2C1Wtm8eTM9e/akV69evq6OEKITkHDp4I4ePcq6devo2rUrgwYN8nV1hBCdhIRLB1ZeXs6qVauIi4tj+PDhMvteCOE1Ei4dVE1NDXl5eYSGhjJmzBh5RLEQwqskXDogu91OXl4eqqoybtw4TCaTr6skhOhkJFw6GKfTyerVq7HZbIwbN47g4GBfV0kI0QlJuHQgmqaxfv16SktLGTduHBEREb6ukhCik5Jw6SB0XWfz5s0cOHCAUaNGERsb6+sqCSE6MQmXDmLHjh3s2bOHoUOHkpKS4uvqCCE6OQmXDiA/P59t27bRv39/MjMzfV0dIYSQcAl0Bw4c4JtvviErK4s+ffr4ujpCCAFIuAS04uJi1q5dS0pKCtnZ2TJJUgjhNyRcAlRlZSUrV64kOjqaESNGyCOKhRB+Rf4iBaDa2lry8vKwWCyMGTNGHlEshPA7Ei4BxuFwsHLlSjRNY/z48ZjNZl9XSQghmpBwCSAul4vVq1dTXV3N+PHjCQkJ8XWVhBCiWRIuAULXdTZu3MixY8cYM2YMkZGRvq6SEEKclgzW+wFN0ykuraOq2onFbCA2JoggU+Pc37JlCwUFBYwePZqEhAQf1VQIIVpGwsWHSsvr+PSLQ3zwsZWSMgcGg4LLpWMOUpk6OZFfTE8jvUsIu3bt4scffyQ7O5u0tDRfV1sIIc5K0XVd93UlOqPFnxbxwut7MBoU7HVak/dNRgWXpjN6WCiDuufTr19vBg4c6IOaCiFE68k5l3Y2c+ZMFEXh6aefdpe99cF+/vaPPbhcerPBAuBw6mgarP2mimVrk+nTt7+3qiyEEOdMei7tqLKykqSkJLKysqiuruann35i9cZiHvrLdpzOlv/Yg0wKP78ohbt/270dayuEEJ4jPZd29O677+JyuXjxxRfJz89n2bJlvL5wX6uCBaDOofN/Sw9QUeVop5oKIYRnSc+lHY0cOZLo6GiWLl1K79696dK1B3Uhs3G5jv/Iv19zF8FhXTEHJ3Bo38c4HZVExg6m++AHKD2yHuvuhdTZSwiP7kvfoQ9w9y2jOWr9mNtvv51du3bRs2dP977ee+89fv3rX5Ofn09GRoaPWiyEEMdJz6Wd7Nixg/Xr1zNr1iwArrvuOr76cin22qONljt24CvKjm6i+6DZdOt3G2XHNrFtzV0c3PsfMvreQma/O6ks3c7OzfP46LMDXH311VgsFhYuXNhoO2+99RYTJ06UYBFC+AUJl3byxhtvEBUVxYwZMwCYNWsWug4H9n3SaDldc9Bn2BNEJ4wgKf3nRMYNoba6kN5DHyc2aRyJXaeS2CWHipLvKS6tIyoqiksvvZR33nmH+k7nwYMH+eKLL7j++uu93UwhhGiWhEs7cDqdvPPOO8yYMQObzUZZWRnBwcGkZQzjcMGn6LrLvWxwWDrGoHD36yBzDKagKCyhJ58maTRF4HJWu4fTbrzxRvbt28fKlSsBWLhwISEhIVx++eVeaqEQQpyZhEs7+OSTTzh8+DALFiwgOjra/VW4dz11tqOUHF7rXtZgbHp/MNXQ/M0oQ0MMAJx//vl069aNt99+Gzg+JHbFFVfIvcaEEH5DZui3gzfffJP09HQWLFjQqPy778uYfd8sDu3/L7FJY1u93Qmj4gBQFIXrrruO559/nttuu43t27fz2muveaLqQgjhERIuHnb48GGWLl3Kfffdx8SJExu9N3asxry/XUDB7o+x1Rxs9bYvvzjV/f3111/PY489xj333EOPHj0YM2bMuVZdCCE8RobFPOytt97C6XRy1VVXNXnPaFSZOXMmoHFo/5IWb1NRjz++OKNLqLusS5cuXHjhhaxYsYLrrrvuXKsthBAeJeHiYQsWLKBfv36nvQ/YIw/8nKiYDI5Yl6LrzrNuT1WPz9BvzvTp01HV+sASQgj/IZMofaCmxsnvn9jGtl2V1J3m3mIAQUEKEWEmXvzzILqmNj1ZP3XqVAwGA0uWtLwXJIQQ3iDh4iNOl84XuYd57yMr+wprMBoVNE1HVRV07fiVYVdcksolF6UQEW5qtO6cOXPYtWsXixYtIjc3l/Hjx/uoFUII0TwJFz+w66dKtu2soKraSbDFQNe0EIYPjsZgaH44bPjw4ezevZs//vGPzJ4928u1FUKIs5NwEUII4XFyQl8IIYTHSbgIIYTwOAkXIYQQHifhIoQQwuMkXIQQQnichIsQQgiPk3ARQgjhcRIuQgghPE7CRQghhMdJuAghhPA4CRchhBAe1yGeRDn24lwUVUVRFRTleF4qqoKiqqgnyuofuFW/nHqizF1+4rWqqiiK0mAbzS2rHN/uiWXry4/vq36dxttwr9OgXFUa7qPB8srJbZ0sb7DfE/ezdG9DUVBPvF+/rKocX65+W8frzcl9nvjeXa5yYvkTbVFosD7ufTYqV06WK4p+ynu6e9vuZdEb10PRj39Pw2V197KNtn3itaLo7u2cXE5vsG0dlZPLKfX1aLCcemo5etPtNCxHc29b0U+U6drJZU98f/LfZsr1k9tB1xu916hM10HX3OUK9a+P/0uDbdevQ/2yug7aiWXq14ET62mN33eX15c1KG+wDbQGyzZTrtd/r2voWtNt6Nrx9/X6drqXPbFfQD9RB73he9Bo3UbLa8e322i9huUn/q0vq6/HqeUNl9dcJ/d58r3Gy2uuM5fpJ7ZRX6a5dHTXyfodf62jOXV0x/F/Aff3ukNrVDbNsYtAJj0XIYQQHifhIoQQwuMkXIQQQnichIsQQgiPk3ARQgjhcRIuQgghPE7CRQghhMdJuAghhPA4CRchhBAeJ+EihBDC4yRchBBCeJyEixBCCI+TcBFCCOFxEi5CCCE8TsJFCCGExym6Xv8ABhEISkpK+Oyzz5g6dSoxMTG+ro7XSLul3R1dR2uz9FwCTElJCYsWLaKkpMTXVfEqabe0u6PraG2WcBFCCOFxEi5CCCE8TsJFCCGEx0m4CCGE8DgJFyGEEB4n4RJgYmJiuPrqqzvEpYqtIe2Wdnd0Ha3NMs9FCCGEx0nPRQghhMdJuAghhPA4CRchhBAeZ/R1BTqj/fv38/rrr7N9+3YA+vXrx0033UR6evpZ1z169CjvvvsuO3bs4PDhwxgMBjIyMrj88ssZOXJkk2Vff/11Nm/ejMPhICsrixtuuIF+/fq1S7vOxlvtnjVrFkeOHGl2O4sXLyY4OPjcG9MK59LuU23evJlHHnmEiRMncu+99zZ6z5+Ot7fa3NGOdU5OTrPlERERvP/+++7X/nSsT0dO6HtZWVkZN998MykpKVx66aUA/N///R+HDh3i73//O5GRkWdcf82aNcyfP5+cnByysrKoq6vjs88+Y8uWLfz5z38mOzsbgLq6Om699VZUVeXKK68kODiY//3vf2zdupWXXnqJtLS0dm9rQ95qNxz/g5OWlsYvfvGLJtsZOHAgBoPBs407g3Ntd0P79+/n3nvvpba2lvPPP7/RH1p/Ot7eajN0vGOdk5PDBRdcwAUXXNCo3Gg0MmDAAMC/jvUZ6cKr3n77bf3yyy/XKysr3WVVVVX65Zdfri9atOis65eVlel2u71Rmc1m0y+55BL9pZdecpd9/vnn+tSpU/WioiJ3mdPp1G+44Qb9ueee80BLWsdb7dZ1XZ85c6b+7LPPeqbi5+hc212vuLhYnzlzpv6Pf/yj2fb50/H2Vpt1veMd64suukhfuHDhGZfxp2N9JnLOxcs2b97MoEGDCAsLc5eFhoYycOBAvvnmm7OuHxkZSVBQUKMyRVHQdZ3o6OhG++nWrRspKSnuMoPBwHnnndei/Xiat9rtb8613QA2m40//elP9OzZkxtuuOG0+/GX4+2tNvsbT7S7pfvxl2N9JhIuXlZUVER8fHyT8sTERIqKilq1LZvNxr59+3j66aeJj4/n4osvbtF+iouLsdlsra/8OfBWuxtyOBxtqqsnnWu7NU1j7ty5GI1GZs+ejaIord6Pt4+3t9rcUEc41g2dqT3+dKzPRE7oe1l1dTUWi6VJeXBwMNXV1S3ejsvlco/rZmZm8thjjxEeHt5oP6mpqc3u50z1aC/eane95cuXs3z5ckwmE4mJiVx44YVcdtllGI3e/ZU/13a/9tpr7Nu3j+eee65Jz+3U/fjL8fZWm+t1lGNdb9GiRSxatAiz2UxqaipTp05l6tSp7pD1p2N9JhIuPqCqTTuMeiuvqzAYDDz33HNUVFSwYsUKbrvtNh566CGGDRvWaJnT7aclnwY9zVvtnjlzJuHh4YSEhFBVVcXGjRtZsGABVquVe+6555zb0VptbfeGDRtYvnw5zzzzDCEhIdTV1bnf0zSNuro6jEaje/v+dLy91eaOcqzr3X777SQmJmKxWCgvLycvL4+XXnqJsrIyrr76avdy/nSsT0fCxctCQ0Ox2+1NymtrawkNDW3Vtvr06QPAiBEjuO222/j73//OG2+84d5Pc93j2tpaAEJCQlpb9XPirXYDTa60GTlyJLqus2zZMm699Vavfqo7l3aXl5dTXV3Nrbfe2uS9r776iq+++oqHH36Y0aNH+9Xx9laboeMc63rTpk1r9HrMmDFUVVWxdOlSd7j407E+EwkXL0tNTaWgoKBJeUFBQbNd3ZZKTk5m/fr1jfazZ8+eZvcTGxvr9W6zt9p9Ounp6bhcLmpqarza9nNp9/Dhw3nuueealM+ZM4fu3btz1VVXuS879afj7a02n04gHuszSU9P5/vvv2+0H3851mciJ/S9bPDgwfzwww9UVVW5y6qqqti+fTtDhgxptOyBAwcoLCxsVHbs2LEm26ytrWXnzp1kZGQ02k9hYSEHDhxwlzmdTr799tsm+/EGb7W7urq62WGITZs2ERsb6/Ury86l3VFRUfTp06fJl8lkIjIykj59+rjPN/nT8fZWmzvSsQaaPS/jcrnYvHkz3bt3b7QffznWZyI9Fy+bPn06n3zyCY8++igzZswAjk+0slgsTbrEDz74IEeOHGHp0qXusvnz51NeXs6ECRNISkqipKSEJUuWUFpayoMPPuhebuLEibz33ns89thj7olWn3/+OeXl5Vx++eVeaWtD3mr3mjVr+OCDD5g8eTIZGRnY7XZWrFjBpk2b+OMf/+j18ehzbXdL+dPx9labO9qx/uijj9iwYQOTJk0iNTXVPRxWWFjIs88+617On471mcgMfR/Yu3cvr7/+Ojt27EBRFPr27ctvfvObJreIqL+1RcNfwPXr1/P555+zf/9+iouLCQsLo1u3blx55ZX079+/0fqHDx/m9ddf57vvvsPpdJKVlcX111/fZDlv8Ua7CwsLef/999m5cyfFxcUAdO/enWuvvZaBAwd6p6GnOJd2N2fWrFkMHDiwyWx1fzre3mhzRzvWO3bsYPHixfz000+UlJRgNBrp168fs2bNIisrq9H6/nSsT0fCRQghhMfJORchhBAeJ+EihBDC4yRchBBCeJyEixBCCI+TcBFCCOFxEi5CCCE8TsJFCCGEx0m4CCGE8DgJlzPIyclh7ty5vq6GEEIEnA4RLi+88AI5OTnk5+efdplvv/2WnJwcFi9e7MWaCSFE59QhwmXixIkArFix4rTL5ObmoqoqEyZM8E6lhBCiE+sQ4TJgwABiY2PJy8tr9n2Hw8GaNWvcywkhhGhfHeKW+/U9ksWLF7Njxw73kwrrffPNN1RVVTFp0iSKiop4+eWXKSoqoqysjKCgIFJSUpg+fToXXnjhGfezdetWHnjgAe666y4uuuiiRu/l5OQwadIk7r//fneZy+XiP//5D1988QWHDh0iLCyM8847jxtvvJGIiAjP/QCEEMLPdIhwgeNDY4sXLyY3N7dJuOTm5mIymRgzZgxFRUUYDAYmTZpEdHQ0TqeTLVu28Nxzz1FXV9fkuQttpes6Tz75JOvXr2f8+PHk5ORQXFzM0qVL2bNnD88//zxGY4f58QshRCMd5q9bjx49SEtLIy8vj9/+9reo6vERP7vdzvr16xk+fDhhYWH06tWLOXPmuNfTNI2f/exn3HHHHXz55ZceC5e8vDzWrl3L7NmzOf/8893lI0aM4IEHHmDdunWMHTvWI/sSQgh/02HCBY73Xt555x22bt3K4MGDAdiwYQO1tbVMmjTJvdzGjRv59NNP2bVrF+Xl5c0+KvVc5ebmEhMTw4ABAzh69Ki7PDk5meDgYHbs2CHhIoTosDpUuEyaNIl33nmH3Nxcd7jk5uYSEhLCeeedBxx/7Oirr75KTEwMEyZMoEuXLoSFhbFo0SLsdrvH6mK1WikpKWHmzJnNvl9ZWemxfQkhhL/pUOGSkpJCz549Wb16Nbfddht1dXVs3LiRCRMmEBQUhMvlYtGiRaSmpvLCCy8QGhrqXve///2vR8NF13USEhK49dZbm30/Pj7eY/sSQgh/06HCBY4Pjb322mt88803VFZWUldX5x4Sq6iooKqqiilTpjQKlpYymUwALQqhpKQkvv/+e4YOHSon7oUQnU6HmOfS0IQJE1BVldzcXPd5j4EDBwIQERGB0Wjk4MGDjdbZs2dPk7LmJCYmArB79+5G5Zs2bWqy7OjRo7Hb7bz99ttN3quursZqtba4TUIIEWg63Efq+jBZu3YtTqeT6dOnYzAYADAYDEyePJnPP/+c5557jm7dulFQUMDy5cvRdf2sEyxjYmIYPHgwX331FeHh4SQkJLB169Zmw2XKlCmsXLmSDz/8kB07dpCdnY3FYiE/P5+1a9dyww03kJaW1i4/AyGE8LUO13OB4yf2bTYbTqfTfWuYejfffDM5OTmsX7+ehQsXcvDgQR5++GF69erVom3Pnj2b0aNHs3z5chYtWoTJZOJvf/tbk+UMBgOPP/44N954IzU1NXzwwQf861//oqCggEsuuYQRI0Z4oqlCCOGXFL09rsMVQgjRqXXInosQQgjfknARQgjhcRIuQgghPE7CRQghhMdJuAghhPA4CRchhBAeJ+EihBDC4yRchBBCeJyEixBCCI+TcBFCCOFxEi5CCCE8TsJFCCGEx/1/c+rXB2AmXjYAAAAASUVORK5CYII=", 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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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", 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", 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", "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": 49, "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": 50, "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": 50, "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": 51, "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": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "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", "# Normalize\n", "weight = weight / np.sqrt(np.sum(weight**2))\n", " \n", "# Compare to networkx\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 }