{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "ddeeaed1", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# netowrks\n", "import networkx as nx\n", "import igraph as ig\n", "\n", "# data processing\n", "import pandas as pd\n", "import numpy as np\n", "import scipy.sparse as ss\n", "\n", "#some functions to make our lifes easier\n", "import sys\n", "sys.path.append(\"./\")\n", "from common_functions import *\n", "\n", "# viz\n", "import pylab as plt\n", "import seaborn as sns\n", "import matplotlib as mpl\n", "%matplotlib inline\n", "\n", "#Change the default options of visualization (improving the defaults)\n", "custom_params = {\"axes.spines.right\": False, \"axes.spines.top\": False, \"axes.spines.left\": False, \"axes.spines.bottom\":\n", "False,\"lines.linewidth\": 2, \"grid.color\": \"lightgray\", \"legend.frameon\": False, \"xtick.labelcolor\": \"#484848\", \"ytick.labelcolor\":\n", "\"#484848\", \"xtick.color\": \"#484848\", \"ytick.color\": \"#484848\",\"text.color\": \"#484848\", \"axes.labelcolor\": \"#484848\",\n", "\"axes.titlecolor\":\"#484848\",\"figure.figsize\": [5,3],\n", "\"axes.titlelocation\":\"left\",\"xaxis.labellocation\":\"left\",\"yaxis.labellocation\":\"bottom\"}\n", "palette = [\"#3d348b\",\"#e6af2e\",\"#191716\",\"#e0e2db\"] #use your favourite colours\n", "sns.set_theme(context='paper', style='white', palette=palette, font='Verdana', font_scale=1.3, color_codes=True,\n", "rc=custom_params)\n", "\n", "from IPython.display import display, HTML\n", "display(HTML(\"\"))" ] }, { "cell_type": "code", "execution_count": 2, "id": "5c5ec074", "metadata": {}, "outputs": [], "source": [ "path_data = \"../Data/\"" ] }, { "cell_type": "code", "execution_count": 3, "id": "b5a40cd5", "metadata": {}, "outputs": [], "source": [ "def plot_network(G, a0 = None, values = None):\n", " \"\"\"\n", " Plots network with nice defaults\n", " \"\"\"\n", " if values is None:\n", " values = nx.degree_centrality(G).values()\n", " \n", " norm = mpl.colors.Normalize(vmin=min(values), vmax=max(values), clip=True)\n", " mapper = mpl.cm.ScalarMappable(norm=norm, cmap=mpl.cm.coolwarm)\n", " mapper._A = []\n", " cb = plt.colorbar(mapper, ax = a0, location=\"bottom\", shrink=0.8, pad = 0.02, label = \"Value\")\n", " cb.outline.set_visible(False)\n", "\n", " # NEtwork\n", " if nx.is_bipartite(G):\n", " top = [_ for _ in G.nodes() if _[0] != \"S\"]\n", " pos = nx.bipartite_layout(G, top)\n", " node_color = [\"#e6af2e\" if node in top else \"#e0e2db\" for node in G]\n", " else:\n", " pos = nx.spring_layout(G, seed = 1)\n", " node_color = [mapper.to_rgba(i) for i in values]\n", "\n", " nx.draw(G, pos = pos, with_labels = True, node_size=500*np.array(list(values)), edge_color = \"darkgray\", \n", " node_color = node_color, ax = a0)\n", " \n", " \n", "def plot_network_adj(G, values = None):\n", " \"\"\"\n", " Plots the graph (with color/node size adjusted according to values) and the adjacency matrix\n", " \"\"\"\n", " f, (a0, a1, a2) = plt.subplots(1, 3, gridspec_kw={'width_ratios': [1, 1, 0.5]}, figsize=(12,4))\n", " \n", " # Plot network\n", " plot_network(G, a0, values = values)\n", " \n", " # Show adjacency table\n", " df = nx.to_pandas_adjacency(G, nodelist=list(G.nodes()), dtype=int)\n", " plot_table(a1, df.values, df.index, df.columns)\n", "\n", " A = nx.to_scipy_sparse_array(G, nodelist=list(G.nodes()), weight=1)\n", " N = len(G.nodes())\n", " \n", " # Plot table as a heatmap\n", " a2.spy(A)\n", " sns.despine(bottom=\"True\", left=True)\n", " plt.grid(True)\n", " a2.set_xticks(range(N), G.nodes(), rotation=90)\n", " a2.set_yticks(range(N), G.nodes())\n", " \n", " plt.tight_layout()\n", "\n", "def plot_table(a1, cellText, rowLabels, colLabels):\n", " \"\"\"\n", " Plots a table in a figure\n", " \"\"\"\n", " cellText = pd.DataFrame(cellText)\n", " the_table = a1.table(cellText=cellText.values, rowLabels=rowLabels, colLabels=colLabels, loc='center', colLoc = \"left\", cellColours=(cellText>0).replace({False: \"white\", True:\"#e6af2e\"}).values)\n", " a1.axis(False) \n", " the_table.scale(0.8, 1.6)\n", "\n", " \n", "def adj_to_net(A, d_names = {0: \"Alice\", 1: \"Bob\", 2: \"John\", 3:\"Amy\", 4:\"Mike\", 5:\"Rose\"}):\n", " \"\"\"\n", " Create graph from adjacency matrix, rename nodes\n", " \"\"\"\n", " G = nx.from_numpy_array(A, create_using=nx.DiGraph())\n", " G = nx.relabel_nodes(G, d_names)\n", " return G\n", "\n" ] }, { "cell_type": "markdown", "id": "c9ebce92", "metadata": {}, "source": [ "# Let's start by example networks and visualize them\n", "- Note the `create_using` parameter. What is it doing?" ] }, { "cell_type": "code", "execution_count": 4, "id": "7d193e37", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Small directed network to understand matrix multiplication\n", "G_dir = nx.from_edgelist([\n", " (\"Alice\", \"Bob\"),\n", " (\"John\", \"Alice\"),\n", " (\"Bob\", \"John\"),\n", " (\"Amy\", \"John\"),\n", " (\"Mike\", \"John\"),\n", " (\"Rose\", \"Alice\"),\n", " (\"Mike\", \"Rose\")\n", "], create_using=nx.DiGraph())\n", "\n", "plot_network_adj(G_dir)\n", "\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "54585c50", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Small undirected network\n", "G_undir = nx.from_edgelist([\n", " (\"Alice\", \"Bob\"),\n", " (\"John\", \"Alice\"),\n", " (\"Bob\", \"John\"),\n", " (\"Amy\", \"John\"),\n", " (\"Mike\", \"John\"),\n", " (\"Rose\", \"Alice\"),\n", " (\"Mike\", \"Rose\")\n", "], create_using=nx.Graph())\n", "\n", "\n", "plot_network_adj(G_undir)" ] }, { "cell_type": "code", "execution_count": 6, "id": "51a04468", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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personchildren
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" ], "text/plain": [ " person children\n", "0 Alice 2\n", "1 Bob 0\n", "2 John 2\n", "3 Amy 0\n", "4 Mike 1\n", "5 Rose 5" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create some metadata (number of children)\n", "df = pd.DataFrame([[\"Alice\",2],\n", " [\"Bob\",0],\n", " [\"John\",2],\n", " [\"Amy\",0],\n", " [\"Mike\",1],\n", " [\"Rose\",5]], columns=[\"person\",\"children\"])\n", "\n", "df" ] }, { "cell_type": "markdown", "id": "7c01b51a", "metadata": {}, "source": [ "# Exercise 1\n", "__Goal__: Compare different ways to represent matrixes and convert between them \n", "\n", "Start from the `G_dir` network" ] }, { "cell_type": "markdown", "id": "6f409eee", "metadata": {}, "source": [ "## 1.1 Convert the directed network to different formats\n", "- numpy_array\n", "- scipy_sparse_array\n", "- pandas_adjacency\n", "- pandas_edgelist\n", "\n", "What are the advantages of each?\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "7cabece8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<6x6 sparse array of type ''\n", "\twith 7 stored elements in Compressed Sparse Row format>" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Example: \n", "A = nx.to_scipy_sparse_array(G_dir, nodelist=list(G_dir.nodes()), weight=1)\n", "A" ] }, { "cell_type": "markdown", "id": "362161a0", "metadata": {}, "source": [ "### 1.2 Use plt.spy() to visualize the scipy_sparse_array" ] }, { "cell_type": "code", "execution_count": 8, "id": "a8f0b56d", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.spy(A)" ] }, { "cell_type": "markdown", "id": "764792ab", "metadata": {}, "source": [ "## 1.3 Create a network object from the pandas adjacency list (edgelist)\n", "\n", "Now starting from an edgelist (created below, `df_edg`), convert it to a graph. You have done this before in the morning" ] }, { "cell_type": "code", "execution_count": 9, "id": "c6ac3f23", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n", "
" ], "text/plain": [ " source target\n", "0 Alice Bob\n", "1 Bob John\n", "2 John Alice\n", "3 Amy John\n", "4 Mike John" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Starting from an edgelist\n", "df_edg = nx.to_pandas_edgelist(G_dir, nodelist=list(G_dir.nodes()))\n", "df_edg.head()" ] }, { "cell_type": "code", "execution_count": 10, "id": "88866f25", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Convert to graph and plot\n", "G = ...\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 = ...\n", "# Add labels\n", "G = nx.relabel_nodes(G, d_names) \n", "# Plot\n", "plot_network_adj(G)" ] }, { "cell_type": "markdown", "id": "e5f848f3", "metadata": {}, "source": [ "# Exercise 2\n", "What is the average number of children of your friends?\n", "\n", "In python\n", "* Matrix multiplication (dot-product) is done using \"@\" (e.g. A @ B)\n", " * The number of columns of A needs to match the number of rows of B!\n", "* Element-wise multiplication is done using \"*\" (e.g. A*B multiplies the element i,j of A with the element i,j of B)\n", " * If B is an array, the dimensions need to match those of A\n", " * If B is a vector, it multiplies it row-wise (the number of rows of A need to match the number of elements of B)" ] }, { "cell_type": "code", "execution_count": 13, "id": "04be8ab4", "metadata": {}, "outputs": [ { "data": { "image/png": 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"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 = ...\n", "\n", "# Divide by number of neighbors to get an average\n", "avg_children = sum_children / ...\n", "\n", "print(sum_children)\n", "plot_network_adj(G_undir, values=avg_children)" ] }, { "cell_type": "markdown", "id": "7782ec56", "metadata": {}, "source": [ "# Exercise 3: Matrix multiplication\n", "3a. Interpretation as number of routes\n", "- Number of nodes 2 steps away\n", "- Number of nodes 3 steps away\n", "- Number of triangles directed\n", "- Number of triangles undirected\n", "\n", "3b. Number of triangles and clustering" ] }, { "cell_type": "markdown", "id": "ed2b490d", "metadata": {}, "source": [ "## Exercise 3a: Matrix multiplication and paths" ] }, { "cell_type": "code", "execution_count": 15, "id": "ae712801", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "One step away\n", "Two steps away\n", "Three steps away. Triangles!\n" ] }, { "data": { "image/png": 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1vDn/Bo5l/8z8v58qOgF8vuRlVv3rKe677z4WLVrE3r17eeaZZygoKGDx4sVd+hkJIYQQQtiizMxMNmzYwM0330z//v3x9vYGoK6ujsWLFzNlyhTi4+MtFk9+fj7PPPMMpaWlaDQaXFxcqKmpYdWqVYwdO5ZHH30UBwcHs8Zgie5sXfH444/j5eXFrFmzzjiVzs3Njeuuu86ssfS2kXG+vr5ceumlFr2mFJ6E6KXq6+tJT0+nrq6OpKQkQkND2+23t1MxLExFTKDC8VKFoiqobfq1AOVgB16uENJfxUAvmSplLvb29tjb23e5PWtnharfj67qaqGqqqoKtVqNr68vzs7OvPvuu9xzzz2UNnnyU9q/cdf2J2boRWeNSTEaeeeF2ziwO42n3vqO8JgRADTW1/Dl0he5+Jo/8uabb6JSqbj44ovx9vbmzjvvZO7cuQwePLh7PzAhhBBCCBvx5Zdf0tLSQv/+7dexcHNzo6mpic8//9yihad//OMfALzxxhumEU5Go5Hvv/+ev//97yxdupS77rrLYvFY0xNPPMHYsWMtugTGmfSGkXE7duzg+++/595778XFxYUTJ07wyiuvUFJSwvjx4/nzn/9sthkNUngSohcqKipi586daDQaUlNTz9hhzkmjYnCQisFBp6blGYynRkBJoal36slClb29PUajkZaWFkaOHMkXX3zB8OHDwTuJ7Rs+JXnK9V0a6rzy3cc5lv0zM257ikFxo0zbD2f+SEtzI8MvuoKmFr1pQforrrgCgA0bNkjhSQghhBAXrMOHD3PHHXd0um/s2LG89957Fo/n/vvvbzetTq1WM3HiREpLS/nqq68sUnjKzs5m165dVFZWYjQa2+1TqVQ8+OCDZo/hoovO/uGrpezfv99UgNRoNKaRcW2WLVvGLbfcYvY4/vvf/9KvXz/T+5C3336b6upqLr74YjZt2oSPj4/Zpv1J4UmIXsRoNJKVlUVWVhb+/v6MHj0ajUbT5cerVCrse0dRX/SQMxWq3NzcAJgyZQoNDQ1cffXVDB8+nOwyRzJ3bWLW3c936RqFeQcZPHwi33z2d6ZcfZep611d7anWri/NvZyX5nZ8XFFR0TlmJYQQQgjR9zU0NJx2AW17e3saGxstGo+7u/tpR9GEhYWh0+nMHsPatWt59913sbOzw93dvcPUPkut/2Q0Gtm8eTO7d++mqqoKRem4LsnLL79skViefvpp/va3vzFkyJB22w0GA2+99RabNm2ySOEpPz+f2267DYDm5mYyMzN54IEHmDp1Kn5+fvz3v/+VwpMQtq6lpYUdO3ZQWlpKfHw8sbGxvWJhPtE3XHrppXh4ePDVV19RrXNjQECYacrc2dz92L+IHzGZB2bF8cFr9/Loa/8BMHXDu/9vy7nxsugOo+h8fX17NAchhBBCiL4kJCSEHTt2MG7cuA77duzYQWBgoEXjSU1NJS0trdN4ysrKLLKW0BdffMH48eN58MEHrbrI+uLFi/n3v/+Nj48P/fv3t2pTnIsuuoinn36a+fPnM2LEqb/Pm5ubefHFF9mzZw/33XefReJobGzE3d0dgKNHjwIQFxcHgL+/PydPnjTbtaXwJEQvUFlZSXp6Onq9npSUFPz8/KwdkuhjHB0dueqqq/jiiy+w07hw0cXXd/mxWm8/PLwGcOM9L/L+q38mfeOpaXqR8WOwd9BQX1XE6KTZpuMzMjKYO3cuTz/9NEFBQeZIRwghhBCi17v22mt55ZVXUKlUTJkyBS8vLyorK9m0aRNbtmzh/vvvN3sMK1euNH2t1+tJT09n8eLFHYo+27Zts8iHhlVVVUyaNMmqRSeALVu2MHPmTNMIH2uaO3cuzs7OPPfcczz++OPExMTw9NNPc+LECZ555hlGjRp19pP0gMDAQA4dOsSoUaPYuXMnbm5upuJoRUWFaTaFOUjhSQgrUhSF48ePs2fPHrRaLWPHju3y2j9C/N6VV17JzJkzUalUvP6nRd1+/JSr/0jaNx+xZOEDDBk1FTcPb66a/TAr/vk0AW51TJw4kcLCQubPn49KpWrXjlYIIYQQ4kIzYcIEqqqq+Oijj9i0aRNw6u97jUbD7NmzueSSS8wew28LT22++OKLTo8tKCgwdzhERkZSUlJi9uucjU6ns+jC7mfzpz/9CRcXF1588UU8PT3R6/W8+uqrDBo0yGIxTJ8+nbfffpuffvqJ48ePc/XVV5v2bdu2rUMzq54khSchrESv17N7925yc3OJiIggMTGx13RdEH2H0WjkyJEj5OXl0dLSgouLC/7+/sTFRFHb0r1zqVQq7nrkXR6/LYmlb83lL08vZdYfn2PsEH8+fP9dXn31VTw9PZkyZQoLFizAw8PDPEkJIYQQQvQRV199NRdffDHZ2dnU1tbi5uZGTEwMrq6uFrn+N998Y5HrdNXs2bN57bXXuPTSS6066mnYsGHs3bvXYqOJuuLmm2/G1dWVDz74gCeeeMKiRSc4tTSHoij89NNPJCYmMnv2qRkNBQUFVFdXc8MNN5jt2iqls1W2hBBmVV9fT3p6OnV1dYwYMcKs1WVhe1pbWyksLCQ/P5/S0lLg1Lzs4OBgAgICsLe352StwtZshfN5hVepwM8DLopR91DkQgghhBDC1tx6663t1qYtKyvDw8PjtAuvL1myxOwx5eXlMXfuXObOnWta1+j3EhISzHb9hQsXnnbf3r17aWlpYfTo0YDlOv1Zk4x4EsLCioqK2LlzJxqNhtTUVLRarbVDEn2AwWCgpKSE/Px8ioqKMBgM+Pj4MGzYMIKCgjr8w97fXUVYf4Xck2A8x+KTnRpGhssC90IIIYQQbTZu3MiIESPw9PRk48aNZz1+ypQpFojqV62trWzatIl9+/ZRW1uLu7s7iYmJTJ48uUOHuZ6SkJDQ65oi1dTUoFKpWLBgQYd9iqKgUqn4+uuvzXb9ffv2nfZnolarcXJyIiMjA7Bcp782hYWFZGRkmEboDR061OwL4cuIJyEsxGg0kpWVRVZWFv7+/owePRqNRmPtsEQvpigK5eXl5OXlceLECXQ6HR4eHgQHBxMcHHzW9cCMRoVtBxXK67pffLJTw4RYFd5uveuPCCGEEEIIa5o2bRoLFiwgMTGRadOmnfFYcxc3fq+uro7HHnuMnJwcfH190Wq1VFdXU1paSlhYGC+99NJpR//YmnvuuQeDwcB1112Ht7d3p0uaDBkyxAqRWY/RaOSdd95h3bp1/LYMpFKpuOSSS7jvvvvMVgSTEU9CWEBLSws7duygtLSU+Ph4YmNje92nAqL3qK6uJj8/n/z8fBobG3F2diY8PJzg4OBujZBTq1WMj4G9uQrHT9KlaXdqFThpIDlKhdZFnqNCCCGEEL/18ssvExERAVhmylh3fPjhh1RVVfHmm28SFRVl2n7w4EGee+45lixZwl//+leLxaPT6aivr8fV1dXiH7gXFhby2GOPkZycbNHr9maffvop69ev5/bbbyclJQUPDw+qq6tJS0tj+fLl9O/f32zrPEnhSQgzq6ysJD09Hb1eT0pKCn5+ftYOSfRCDQ0NpmJTTU0NGo2GoKAggoOD8fHxOedCpVqtYni4iiAfhcx8hcp6UKvBYPzNMf87tb0aIv0hOkCFnVqKTkIIIYQQv/fbUTK+vr5WjKSjHTt2cNNNN7UrOgHExMQwa9YsPvnkE4sUnvbv38+SJUs4dOiQaVpbTEwMt956q8U6zfn7+9PY2GiRa3UmMzOT8PBwXFxcyMzMPOvx5lxvqs369euZOXMmM2bMMG0bMGAA1113HU1NTaxfv14KT0L0NYqicPz4cfbs2YNWq2Xs2LFnnRolLiwtLS0UFBSQn59PeXk5dnZ2BAQEkJCQgK+vb492OezvrmJyvIq6plNT7yrrFVpaTxWhPJxVeLlAf/dThSohhBBCCNH3NDY24unp2ek+b29vixRiMjMzeeKJJxg4cCA33ngjWq2Wqqoqtm3bxuOPP86CBQssUmSZOXMm//73v5k0aZJVOoc/+uijpimZjz766Gk/RLbEelNtysvLOxQl20RFRfH555+b7dpSeBLCDPR6Pbt37yY3N5eIiAgSExOt8oIneh+9Xk9RURF5eXmUlJQApz4tGz16NAEBAWZb9LGNm5MKNycIGyAFJiGEEEKI7vp9B7ezseR0vODgYHbs2MG4ceM67Nu+fTvBwcFmj+Gjjz4iMTGR5557rt3P6cYbb+Spp55i2bJlvP7662aPY/369eTm5vLXv/4VV1fXTo95+eWXzXb9Bx98kJCQELNfpzt8fHw4evQoY8aM6bDvyJEj+Pj4mO3aUngSoofV19eTnp5OXV0dSUlJhIaGWjskYWVGo5HS0lLy8/MpLCxEr9fj7e1NYmIiQUFB9OvXz9ohCiGEEEKILuiNHdzaXHfddbz00ks0NjYybtw40+Li33//Pbt27eKxxx4zewxHjhxh3rx5HX5GbQtYL1y40OwxtF2vbVpfZ/3UzH0Pp06davq6tyxiPnXqVD799FPc3Nw6PD8+//xzZs2aZbZrS+FJiB5UVFTEzp070Wg0pKamdmshaGFbFEWhoqKC/Px8CgoKaGlpwc3NjZiYGIKDg0/7yYsQQgghhOi95s2b16XjSktLSUtLM28wvzN+/Hh0Oh1Llizhxx9/NG338vLigQceYPz48WaPwcHBgebm5k73NTU1mX10f5tXXnnltPsscW+6W+SzxKioWbNmUVZWxr/+9S/ee+8903ZFUZgyZQrXX3+92a4thScheoDRaCQrK4usrCwCAgJISkqyeOcG0TvU1taSl5dHfn4+DQ0NODk5ERISQkhICFqtttd+QiaEEEIIIc5PdXU127ZtIy0tjYMHDwKY9c18Z1JTU5k8eTInTpyguroaBwcHAgMDcXNzs8j1ExMTWb16NaNGjWr3IXxlZSWrV68mMTHRInH8nqXvTUZGBg4ODkRHR/eav//VajUPPPAAM2bMICMjg9raWtzd3RkyZAj9+/fnpZde4qmnnjLLtVVKZ+POhBBd1tLSwo4dOygrK2Pw4MHExsb2mhcXYRmNjY2mjnRt/8APHDiQkJAQfHx8UKvV1g5RCCGEEEKYQWNjI+np6aSlpbFv3z4A4uPjGT16NKNHj8bf39/sMeh0OnJycvD09GTAgAEAvPXWW6xfvx44VXC45ZZb+MMf/mD2WEpLS5k7dy4NDQ3ExcXh4eFBTU0NWVlZuLi48MYbb1isy7c1783//d//sWHDBjw9Pbn22muZMmWKVQcm6HQ6mpubcXd377CvvLycZ599lpycHNauXWuW60vhSYjzUFlZSXp6OgaDgTFjxvS6lqrCfHQ6HSdOnCAvL4+TJ0+iVqsJCAggODgYf39/WUxeCCGEEMJGtba28tNPP5GWlsauXbvQ6/XExMSQnZ3Nc889x4gRIywWS15eHo8//jg1NTUAXHHFFYSFhfH2229z1VVX4efnR2ZmJtu3b2fu3LmkpqaaPabq6mq+/PJLMjIyqKurw83NjaFDh3LNNdeYfSmS3nRvGhoaWLduHWvWrKGlpYXLL7+cyy+/HA8PD4vFYDAYeOedd9iwYQNGoxGtVsutt95qWoPq0KFDPP/88zQ3N/PII4+QlJRkljik8CTEOVAUhePHj7Nnzx60Wi1jx47FxcXF2mEJMzMYDBQVFZGfn09xcTGKojBgwACCg4MJDAyU6ZVCCCGEEDZu4cKF/PjjjzQ0NBAaGsrkyZOZNGkS9vb23HDDDSxYsMCi08leeukl9u3bx8yZM9Hr9fz3v/9Fr9dz2WWXceutt5qOe/7556msrGTRokUWi83Setu9aWM0Gtm+fTtfffUVx48fZ8qUKVx77bUEBASY/dqff/45H374ISNGjCA0NJRjx46xb98+nnjiCfR6PYsWLcLHx4dnnnmGoKAgs8UhazwJ0U16vZ7du3eTm5tLREQEiYmJMrrFhhmNRk6ePEleXh6FhYW0trbi6elJQkICwcHBODk5WTtEIYQQQghhIRs3biQ4OJgXXniB6Oho0/ba2lqrxLNv3z5mzZrF1VdfDUBMTAyPP/54h05q48aN45133jFLDGdbSFulUjFgwAAmTZpk1sJPb7s3bdRqNSkpKYSEhLBw4UK++eYb6uvrLdJlcNOmTUyePJmHHnrItG3JkiW8+eabNDY2MnToUJ544gmzNz6SwpMQ3VBfX096ejp1dXUkJSURGhpq7ZCEGSiKQlVVFXl5eRQUFNDc3IyrqyuRkZEEBwd3OjdaCCGEEELYvtjYWA4ePMj8+fNJSUkhNTWV2NhYq8VTX1/fbqRKVFQUAM7Ozu2O8/DwOG23ufOVkZFBWFjYaYsXer2ePXv2sHHjRh5//HEuuugis8TR2+5Nm8zMTD7//HN+/vlnQkJCePDBB5k0aZJFrl1cXMxNN93Ubtv06dNZvXo106dP55577rHIerRSeBKii4qKiti5cyeOjo6kpqaafX6ysLy6ujrTIuF1dXX069ePoKAggoOD8fLykkXjhRBCCCEucG+88QZlZWVs2bKFrVu38s033+Dn58fYsWNRqVQW/3vRaDS2m33R9vXv4zB3ceGuu+4662imt956i08//dRshafedG8URWH79u18/vnnHDlyhOHDh/P8888zfPhwi8UAp9al/X1BsG2NqSlTplisCZIUnoQ4C6PRSFZWFllZWQQEBJCUlCRr+diQpqYmCgoKyM/Pp7KyEnt7ewYOHMiwYcMYMGCAdKQTQgghhBDtDBgwgOuvv57rr7+evLw8U6FDURT++c9/Mm7cOJKSktpN9zKnvvLhaHJyMmlpaWa9Rm+5N3fccQcVFRVMnDiRuXPnEhISYtbrncnvnx/WeL7I4uJCnEFLSws7duygrKyMwYMHExsb22de2MXptba2UlhYSF5eHmVlZahUKvz8/AgJCcHf3x97e6nJCyGEEEKI7snOziYtLY1t27ZRXV2Nl5cXK1asMOs1p02b1uH9iaIop33P8vXXX/d4DEeOHGHgwIFnXfs0LS2Nd955h9WrV/d4DGdj6Xszbdo0oOtFHnPcl7Y4OovhdM8Rc8Uh766EOI3KykrS09MxGAykpKTg6+tr7ZDEeTAYDJSUlJCXl0dxcTEGg4H+/fszfPhwBg4ciKOjo7VDFEIIIYQQfVhsbCyxsbHcfffd7Nmzh61bt5r9mr9fv8caIiMju3ScXq8nNTXVzNF0ztL3pjfcF+g9cciIJyF+R1EUjh8/zp49e9BqtYwdOxYXFxdrhyXOgaIonDx5kvz8fE6cOIFOp0Or1RIcHExwcHCHRReFEEIIIYQQQvQsKTwJ8Rt6vZ7du3eTm5tLREQEiYmJ7RbrE72foihUV1ebFglvamrCxcXFVGxqW0xPCCGEEEIIIYT5SeFJiP+pr68nPT2duro6RowYQWhoqLVDEt1QX19vKjbV1tbi6OjIwIEDCQkJwdvbW9bmEkIIIYQQQggrkHZNQgBFRUVs2LDBNO9Yik59Q3NzM0eOHGHTpk188803ZGdno9VqGT9+PFdccQUjRozAx8dHik5CCCGEEMLsKisrWbFiBZWVldYOpdfEInFIHCCFJ3GBMxqN7N+/n+3bt9O/f3+mTJmCVqu1dljiDFpbW8nLy2Pbtm2sWbOGvXv3otFoGD16NFdddRVjxozB398ftVpe3oQQQgghhOVUVlaycuVKqxcVelMsEofEAdLVTlzAWlpa2LFjB2VlZcTHxxMbGysjY3opo9FISUkJ+fn5FBYWYjAY8Pb2ZtiwYQwcOJB+/fpZO0QhhBBCCCGEEJ2QwpO4IFVWVpKeno7BYCAlJQVfX19rhyR+R1EUKioqyMvLo6CgAJ1Oh7u7O7GxsQQHB+Pq6mrtEIUQQgghhBBCnIUUnsQFRVEUjh8/zp49e9BqtYwdOxYXFxdrhyV+o6amxlRsamhowMnJibCwMEJCQvDw8JBRaUL0Ms3Nzeh0OmuH0eOMRqPNTtmV3PomW83NVvMC0Gg0MipbCCGQwpO4gOj1enbv3k1ubi4REREkJiZiZ2dn7bAE0NjYaOpIV11djUajYeDAgQQHB9O/f38pNgnRSzU3NxMWFkZJSYm1Q+lxjo6OtLS0WDsMs5Dc+iZbzc1W8wLw8/MjJydHik9CiAueFJ7EBaG+vp709HTq6upISkqSrnW9QEtLCydOnCA/P5+TJ09iZ2dHQEAAgwcPxs/PT4qCQvQBOp2OkpISCgoKcHd3t3Y4PaawsJC4uDibywskt77KVnOz1bwAamtrCQoKQqfTSeFJCHHBk8KTsHlFRUXs3LkTR0dHUlNTpWudFen1eoqLi8nLy6OkpARFURgwYABJSUkEBgbi4OBg7RCFEOfA3d3dpt401tbWAraXF0hufZWt5mareYkLl1ar5ZJLLukV7zd6SywSh8QBUngSNsxoNJKVlUVWVhYBAQEkJSWh0WisHdYFx2g0UlZWRl5eHoWFhej1ery8vBgyZAhBQUE4OTlZO0QhhBBCCCHOm6enJ1OmTMHT09PaofSaWCQOiQOk8CRsVEtLCzt27KCsrIz4+HhiY2NlnSALUhSFyspK8vPzKSgooLm5GTc3N6KjowkODsbNzc3aIQohhBBCCCGEsAApPAmbU1lZSXp6OgaDgZSUFHx9fa0d0gWjrq6OvLw88vPzqa+vp1+/fgQHBxMcHIynp6cU/4QQQgghhBDiAiOFJ2EzFEXh+PHj7NmzB61WS3JyMs7OztYOy+Y1NTWZOtJVVVXh4OBAYGAgI0aMoH///jbbIlkIIYQQQgghxNlJ4UnYBL1ez+7du8nNzSUiIoLExETpimZGOp2OwsJC8vLyKCsrQ61W4+/vT2xsLH5+ftjby0uLEEIIIYQQQgiQoQiiz6uvr2fz5s0UFBSQlJTEiBEjpOhkBgaDgRMnTpCens5///tfdu3aBcDIkSO58sorGTduHAMHDpSikxCiy9544w0eeeQRa4dhNbfccgsrVqywdhg9IiMjg8suu4zS0lJrhyK6YcWKFdxyyy3WDkMIIYSNk3eIok8rKipi586dODo6kpqaavW2lLbGaDRy8uRJ8vPzOXHiBK2trWi1WhISEggKCpKpjEKIs8rPz+fuu+9GrVazbNkyfHx8TnvsG2+8QUZGBsuWLbNghN33xhtvsHHjRtP3Dg4O+Pv7M3nyZK677ro+vZ5dWloar7zyiun7V155hSFDhlgxop7XnedkX9D2fJw2bRr33Xdfu31r167lnXfeISEhgVdffbXP/I61+e3vmkqlwsXFhSFDhjBnzhxCQkKsHJ0QQoiuksKT6JOMRiNZWVlkZWUREBBAUlISGo3G2mHZBEVRqK6uJi8vj4KCApqamnBxcWHQoEGEhITg7u5u7RCFEH3Id999R3h4OFVVVWzYsIEbbrjhtMfeeeed6HQ6C0Z37qKjo3n88cdRFIWmpia2bt3K0qVL8fX1ZeLEidYO75yNGTOGpUuXcvLkSR5++GFrh2MW3XlO9hVarZb169dz/fXXM2DAAODUMgSrV69u1yq7L/2OtWn7XTMYDJSVlbF06VIeeeQR/u///s/q7ciFEEJ0jRSeRJ/T0tLCjh07KCsrIyEhgZiYmD796XJvUV9fT35+Pnl5edTV1eHo6EhQUBAhISF4eXnJz1gI0W16vZ7Nmzdz0003UVxczIYNG5g1a9ZpX0/WrFnDhg0b2o3G2Lp1K5999hkFBQW4u7szePBgbrvtNvz8/Ghubmb58uVs3bqV+vp6AgMDmTVrFuPHjzd7bhqNpl3XVD8/Pz799FMqKiqAUx+QfPrpp6xbt47Kykp8fX259tprmTZtWrvzVFRUsGjRIlM31nHjxnHvvffSr18/s+fQmX79+nV67dLSUt5//3327NmDwWAgLi6Ou+66i7CwsHbHHThwgEWLFpGdnY2Xlxdz5sxh0qRJpnPceuut3HXXXWRmZnLgwAE0Gg3XXHMNM2bMsEh+Z3tOPvLII7i6uhIYGMj27dupqqpi+PDh3HPPPaxZs4bNmzfT0NBAfHw88+bNQ6vVsnnzZhYtWsSyZcvw8vIyXes///kPK1euZMWKFWb/cCwoKAgnJydWrVrF/fffD8CmTZtwcXEhPDycsrIyoPPfsd/S6XQ899xznDx5kldeeQWtVkttbS2LFy9m586dtLS0EBoaym233WaxkXC//V0LCAjgnnvu4YEHHiAzM5OUlBTq6up4//332blzJ01NTQwaNIhbb721XXwbNmzg3//+N0VFRbi6uhITE8Ptt99OQEAAcGqq6EcffcSRI0dwdXVl2LBh3HnnnTKSXvQJpSW1VFc3ddhuNBjIz63BTlWKupNlSLRaJ3z95ANlYRlSeBJ9SmVlpemP85SUlHZ/9Ivua25upqCggPz8fCoqKrC3tycwMJDExER8fX2lI50Q4rzs3LmTxsZGJk6cSEVFBV9++SWZmZldfsO6fv16/vGPf3DzzTczatQoKioqWLduHTk5Ofj5+fH888/T0NDAvHnz8PLyYvfu3bz88st4enoSHx9v5ux+1dLSwldffYWnpycpKSkAfPzxx/z3v//lT3/6E+Hh4WRmZvLee+/h4ODA1KlTTY/dvn071113HS+99BLl5eW8+eabrFy5kjvuuMNi8Z9Na2srTz75JD4+Pjz33HPY29vz5Zdf8thjj/H++++3Gwn76aefMmfOHO655x6+/vprFi5cSHx8PP379zcd89VXX3HzzTdz22238cMPP/DBBx8QHx9PdHS02XPpynPyp59+4qqrruLpp5+msrKSBQsWcPvttzN58mT+9re/0drayosvvsjy5cu57777uOiii3jvvff47rvv2o2e+vrrr7nkkkssNiL7xhtv5KGHHuL666+nf//+rF69mltvvZWdO3d26fF6vZ6XXnqJsrIyU9FJp9Px6KOP4uPjw/z583F2dmbr1q3Mnz+ff/7zn6bCjSW1trYCmJ53L7zwAvX19Tz22GO4u7uzYcMGnnzySf75z38ycOBA9u7dy5tvvsn9999PXFwcJSUl/PDDD5w4cYKAgAAyMzOZP38+s2fP5i9/+Qv19fV88MEHvPrqqyxYsMDi+QnRHaUltdw0YzE6neEMR/3Y6VaNxo6VX9whxSdhEVJ4En2CoigcP36cPXv2oNVqSU5OlvWFzlFrayuFhYXk5+ebFoH18/NjzJgxBAQEyOLgQoges379epKTk3F1dcXV1ZWoqCjWr1/f5cLTihUrmD59Otdddx0AYWFhjBw5EoPBQGZmJhkZGSxfvtw0KiEkJISff/6ZTZs2mb3wtH//fq688krg1Bt2RVGYOnUq9vb26HQ6Vq9ezV133cXkyZMBCA0NpaysjJUrV7YrPF111VXMnDkTgEGDBnHttdeyevXqXlV4SktLo7y8nIULF5re7D/00EPcfvvtrFmzhptuusl07LPPPoufnx9wqhCyZs0ajhw50q7wNG/ePIYOHQrAwIEDWb16NVlZWRYpPHXlOTlx4kTuuusu4NRzLiEhgcbGRh588EHTMePGjSMzMxM4NSLn4osv5ttvv+W6667Dzs6OvXv3UlhYyPTp082eU5vo6GiGDh3KqlWrGDp0KA4ODowbN65LhSeDwcCrr75KYWEhr7zyimkK2/fff09NTQ1vvfWWqYAWFhbG9u3b2bp1q0WnKRqNRgoKCli8eDGRkZEkJCSQkZFBRkYG//rXvwgODgYgIiKCgwcP8tlnnzF37lyOHj1Kv379SElJwcnJiaCgIEaNGmU678qVK5k2bZrp9xDg7rvvZu7cuZSXl/f5NcCsbd68eWRlZTFlyhTmzZvXbt/v1xzLyMjg0UcfZe7cue1eJ8XpVVc3naXodHo6nYHq6iYpPAmLkHeYotfT6/Xs3r2b3NxcIiIiSExMlK513WQwGCgtLSUvL4+ioiIMBgM+Pj4MGzaMoKAgHB0drR2iEMLGVFZW8vPPP/PCCy+Ytk2dOpUPPviAe+65BxcXlzM+vrq6mpMnT5KQkNBhn52dHYcOHUKv1zNnzpx2+wwGg6moYU6RkZE89NBDwKl/p06ePMnHH3/M3LlzmT9/Pjqdjri4uHaPiYuL4/PPP6exsfG0H56EhoZSX19PXV0dbm5uZs+jK3JzcwkMDGw3ssnBwYHIyEhycnLaHfvbaZQeHh4ANDQ0nPYYtVqNm5tbh2PMoavPyd9PBXV1daWxsbHDtt/GPH36dL744gt27drFmDFjWLt2LSNHjjQV4Szlpptu4pFHHmHv3r3cfvvtXZomrygKixYtYu/evR3WTTp8+DDV1dX84Q9/aPcYvV5vmr5nbm1FXoPBgNFoZNKkSfz5z3/Gzs6OnJwcXF1dTUWnNrGxsRw4cACA5ORkPv/8c+644w6GDx/OoEGDGDt2rGnU/KFDh9i/fz9ff/216fGKogCnpodK4enclZaWkp2dTVBQEOnp6dx3331nHAEYFhbGggULZOF4IWyQFJ5Er1ZfX096ejp1dXUkJSURGhpq7ZD6DEVRKC8vJy8vjxMnTqDT6fDw8CAuLo7g4OCzvukTQojzsXHjRoxGI0888USHfVu3bu2w1tHpnG7Kr9FopF+/fvz973/vsM8SxfS2dfDahIWF4eXlxX333WcaCfN7bW9mz1QMaJtG1HZsX9bb1gY81+dkZ3n8fpuvry8jR47k66+/JjIykh07dvDss8/2TODdEBsbS0JCApWVlVx00UVdeszJkycpKiqiqamJjRs3mkYYwqlCbkBAAM8880yHx1nq74i2Im9rayuvvPIKeXl5Z33Mb39/AgICWLx4Menp6WRnZ7N27VqWLFnC888/z5AhQzAajVxzzTVcfPHFHc7z25F6ovvS0tJwcXFh7ty5PPjgg/z0009nfF66ubkxbNgwC0YohLAUKTyJXquoqIidO3fi6OhIamqqLPDYRdXV1eTn55Ofn2/6VD08PJzg4GD5GQohLGb9+vVMmzatw5v5jz76yLTvTDw8PPD09CQzM5OxY8e226coChERETQ3N9PQ0EBMTEyPx38umppOLe7q7++PRqMhKyuL8PBw0/4DBw7g6+uLk5PTac+RnZ2Nn5+f1TuI1tfXA6cWGw8NDeXrr7+mtrbWFJdOp+Pw4cNcdtll1gyzW873OXk206dP529/+xtLlizBz8+P4cOHn9f5ztXcuXPR6/VdLvx5enry6quvsm3bNl5//XU8PDy45JJLgFPT1tavX4+jo6OpW56l/bbIu2DBAh566CGefvppFixYQFhYGPX19eTl5bUbJZOVlWX6sFKv1+Pi4sLUqVOZOnUqiqJw9913s337doYMGUJERAS5ubntCsmiZ6SlpTF+/HhiYmIIDQ0lLS3tjIWntgYEv59qt3XrVr744gvy8vJwcXEhKiqKa6+91jRF9tixY3z00Ufs378flUpFSEgIs2fPliKWEL2IFJ5Er2M0GsnKyiIrK4uAgACSkpIstjBnX9XQ0GAqNtXU1KDRaAgKCiI4OBgfH59e96mzEMK27d+/n8LCQubPn99hysRll13Gs88+S25u7hnPoVKpmDlzJh9++CFeXl6MHDmS+vp6Nm7cSGpqKsOHDyc+Pp4FCxZwyy23EBkZSVNTE7/88gv29vbtRm2Yg06nM62Tp9PpOH78OMuXLyc8PJzExERmzJjB8uXLcXZ2JiIign379rF27Vruvffeduc5cOAAmZmZuLu7s2/fPtasWcPcuXPNGvvpHDhwAGdnZ1QqFZ988glarZaQkBBCQ0NZtWoVCxYsYM6cOdjb27N69Wp0Oh1XXHGFVWLtrp54Tp7NyJEj8fX1ZdOmTfzxj3+02r+93Z0a5uDggL29PZMmTaK6upq///3vuLq6Mm7cOCZPnsyXX37J/PnzmTNnDsHBwdTU1LBz506CgoI6HSVkTt7e3qbi07PPPsuzzz5LfHw8r776KnfeeSfu7u5899135OTk8MgjjwCwbNkyGhoamDRpEl5eXuTk5FBeXm4qWN900008/fTTLFy4kMsuuww3Nzfy8vJYt24dTzzxxBkLxeL08vLyyM3NNb3mpaam8tFHH9HQ0NCt0XJfffUV//rXv5g8eTIzZ85Ep9OxceNGNmzYwJAhQzh69CgPP/wwEydONK3Dtm3bNubPn8+bb77JoEGDzJKfEKJ7pPAkepWWlhZ27NhBWVkZCQkJxMTESNHkNFpaWkwd6crLy7GzsyMgIICEhAR8fX1lHSwhhNWsX7+eyMjITtfpGDVqFB4eHqxfv/6s57nmmmvw8PDgiy++YOXKlTg7OzNs2DACAwNRqVQ8//zzrFy5kuXLl1NRUYGbmxsRERHtFgk2l0OHDnHrrbcCp9ac8vT0ZPz48Vx//fVoNBpuuukm7OzsWLp0KVVVVfj6+nLXXXd1eKNeW1vLwoULKS8vx9vbmz/+8Y9MmDDB7PF3ZvPmzWzatAm1Wk1ERATPPvusadriiy++yHvvvcdTTz2F0WgkNjaWl156yeojs7qqp56TZ6JWq5kwYQL/+c9/LF6Q6SnXXHMNVVVVvPLKKzz//PMMHTqU119/nY8++oh//vOf1NTU4OHhQUxMjGnhfEvz9/dnwYIFPPLII7z00ks89dRTvP/++yxYsICWlhYiIiJ44YUXGDhwIABJSUl89tlnvPTSSzQ0NODr68ttt91min/EiBG8+OKLrFq1iieffBKj0ciAAQMYNWqUfPB5HrZs2YKfnx+DBw8GTi3av2TJEtLT07u8cHhDQwPLli0jNTXVtKYenCpita0x9sEHHzB58mTuvvtu0/5Ro0Zx+PBh1q1bx1/+8pduxW00Gs9rqrPBYGj3/+ZmPM/rGA0Gs8dq6Z+JxGH5OLryvlOl2MIiAsImVFZWkp6ejsFgYMyYMaZFH8Wv9Ho9RUVF5OXlUVJSApxaVyI4OJjAwEAcHBysHKEQ4kJSW1uLh4cHNTU1faYA0RUnTpwgKCjI5vICyc3cHnjgASIiIrjvvvt69Ly9ITdzsNW8wHZfH7vqtttuY8yYMcyaNcu07bnnnsPR0ZEFCxYAHbva/X6q3c8//8z8+fN5+eWXO20a0dLSwrXXXovRaOw0hmHDhpmu1VUHDx5Er9d36zHWlJ9bw8vP/njOj3/smbEEh3r0YETiQtSVTsIy4klYnaIoHD9+nD179qDVaklOTj5tt58LkdFopLS0lPz8fAoLC9Hr9Xh7e5OYmEhQUBD9+vWzdohCCCHEBS8rK4tDhw7x17/+1dqhCGFV2dnZlJSU8NVXX/HVV1+126dWq6mqqmrXPfF0amtrAfDy8up0f11dnWlx+PHjx3fYfy7vJ6Kios57xNPhw4eJioqyyOwDO1UpcO6Fp7CwMKJizPthv6V/JhJH74xDCk/CqvR6Pbt37yY3N5eIiAgSExNlihininGVlZXk5eVRUFBAS0sLbm5uxMTEEBwcjKurq7VDFEIIIcRv/Pvf/yY+Pp6wsDBrhyKEVW3ZsoWgoCDuueeedtv1ej3PPfcc33//PVddddVZz+Pm5gacmhXR2eLvrq6uqFQq9Ho9sbGxPRL76TqpdpednZ1F3tOoz/MaagvFCZb7mUgcvTMOKTwJq6mvryc9PZ26ujqSkpJM3UcuZLW1teTl5ZGfn09DQwNOTk6EhIQQEhKCVquV9a6EEEKIXurJJ5+0dghCWJ3BYGD79u1ccsklnXaVGzx4MGlpaV0qPMXExKDRaNi0aVOHqXZtXTZjYmLYtGkT119/Pd7e3u2OKSkpwc/P7/wSEkL0CCk8CasoKipi586dODo6kpqailartXZIVtPY2EhBQQF5eXlUV1fj4ODAwIEDCQ4Opn///j32yYsQQgghhBDmtHfvXqqqqhg9enSn+0ePHs17771nWqv0TNzc3Jg1axYfffQRRqOR0aNHo9fr2bFjB46OjsydO5e77rqLxx57jL/+9a/MmDGDgIAASktLTcWq22+/vadTFEKcAyk8CYsyGo1kZWWRlZVFQEAASUlJF2THEJ1Ox4kTJ8jPz6esrAy1Wk1AQABxcXH4+/v3imGXQgghhBBCdMfWrVvx9PQkOjq60/1thactW7Z06Xw33HADWq2WNWvW8P333+Ps7Ex0dDSXX345ALGxsSxcuJBPPvmEVatW0djYiI+PD4MHDyYlJaXH8hJCnB8pPAmLaWlpYceOHZSVlZGQkEBMTMwFNXXMYDBQXFxMXl4excXF7dr1BgYGXpAFOCGEEEIIYTvmzp17xv0BAQF8++23ne7z9fXtdN9ll13GZZdddtpzRkRE8NRTT3UvUCGERUnhSVhEZWUl6enpGAwGUlJS8PU1b/eE3sJoNHLy5Eny8vIoLCyktbUVT09PEhISCA4OxsnJydohCiGEEEIIIfogrdYJjcYOnc7Q7cdqNHZotfJeRFiGFJ6EWSmKwvHjx9mzZw9arZbk5ORzam3alyiKQlVVFfn5+eTn59Pc3IyrqyuRkZEEBwfj7u5u7RCFEEIIIYQQfZyvnzsrv7iD6uqmDvuMBgM5OTmEhYV12v1Oq3XC10/elwjLkMKTMBu9Xs/u3bvJzc0lIiKCxMREm167qK6uzlRsqqurw9HRkeDgYIKDg/Hy8rqgphUKIYQQQgghzM/Xz73TApLBYMCgVBIV42vT78FE3yCFJ2EW9fX1pKenU1dXR1JSEqGhodYOySyam5tNxabKykrs7e0JDAxk2LBhDBgwQDrSCSHOWXNzMzqdztphnFFtbS0AhYWFpq9tQXFxMWB7eYHk1lfZam62mhec+kBSCCHEKVJ4Ej2uqKiInTt34ujoSGpqKlqttluPb62po7WiGsVgwM7VGUe//r1qtFBrayuFhYXk5eVRVlaGSqXCz8+PsWPH4u/vj729/FoJIc5Pc3MzYWFhXWo3bW0ajYa4uDhrh9HjNPYqm8wLbPeegeTWF9lqXgCOjo4YjUZrhyGEEFYn75BFjzEajWRlZZGVlUVAQABJSUld6tRmaG6h+It1lHyxjupdmbSUnAS1GlSAwYidixNu8VH0v2Q8QbfNxGmgn/mT+X2MBgMlJSXk5+dTVFSEwWCgf//+DB8+nIEDB+Lo6GjxmIQQtkun01FSUkJBQUGvXheusLCQuLi4Xh9nd7Xl9fP7Mbg529b0hOIKHRPvP2Jz9wxs9/kItpubreYFp0aEBgUFyeh3IYRACk+ih7S0tLBjxw7KyspISEggJibmrKOU9A2NHF3wT/L+uRKj3oCxqfnXnb/5dMjQ0ET1zn3U7svmyAvv0n/qOGJfeRS3wZHmSgc4tUj4yZMnyc/P58SJE+h0Ojw8PBg8eDDBwcE2v0i6EML63N3de/WbsbapMb09zu5qy8vN2c7mCk/1jafysbV7Brb7fATbzc1W8xJCCNGeFJ7EeausrCQ9PR2DwUBKSgq+vr5nf8z2n9l901xaK6sxNrd06TrG5lNrnZzc+APlo64mcv5fiHj4LtQ9OLVNURRqamrIy8ujoKCAxsZGnJ2dCQ8PJyQkBA8Pjx67lhBCCCGEEEIIYeuk8CTOmaIoHD9+nD179qDVaklOTu7SKKCcf3xE9qOvoOgNoCjdv7DBiGIwcnTBPzn53TaS1r6PvavLWWM90wishoYG8vLyyM/Pp7a2Fo1GQ1BQECEhIXh7e/eqNaaEEEIIIYQQQoi+QgpP4pzo9Xp2795Nbm4uERERJCYmdqlNZ87fl5H9+GsorfrzjsHY3ELNz5nsuPhWxm5ajp1Tvw7HGAwGfvjhB+zt7UlOTm63r6WlhYKCAvLz8ykvL8fOzo7AwECGDBmCn5+fzMkXQgghhBBCCCHOkxSeRLfV19eTnp5OXV0dSUlJhIaGdulxJzf+QPZjr/ZI0amNsUVHXeZBMu56gmErFrbb11Z0ausK1dTUhIODA4WFheTn55u2+/n5MXr0aAICAnBwcOix2IQQQgghhBBCiAudFJ5EtxQVFbFz504cHR1JTU1Fq9V26XGttfXsnfNQjxad2hibdRR/uZ6Ab9LwnTbx1DajkR9//LFdK/Lt27dTV1eHXq/H29ubxMREgoKC6Nev40gpIYQQQgghhBBCnD8pPIkuMRqNHDhwgOzsbAICAkhKSkKj0XT58QefeJ2l5cf5WF/GWvuoLj1mo7GGN42lLLYLw1d15pFISmsr+257lNTcragcNezcuZOioqJ2x9TU1BAXF0dwcDCurq5djl0IIfqSN954g9LSUl599VVrhyKEEEIIIYQUnsTZtbS0sGPHDsrKykhISCAmJqZbi2231tRRsORzFH3Pj3b6LUNTM8Wfr+NwoDvl5eUd9huNRoKCgqToJITo8/Lz87n77rtRq9UsW7YMHx+f0x77xhtvkJGRwbJlyywYYe+TlpbGxx9/THFxMR4eHkyZMoWbb765S+sT9nbldXa8v1nLAHcDd0yqtnY4PcaW75nk1vfYal5CCGEJUngSZ1RZWUl6ejoGg4GUlBR8fX27fY7CFf9BZYF/lI1NzRxfuJimF/6ESqVC6aRj3okTJ4iNjTV7LEIIYU7fffcd4eHhVFVVsWHDBm644YbTHnvnnXei0+ksGF3vs2fPHl577TVmz57N6NGjyc/P5+2330atVjNnzhxrh3de7njPH0U59WHQAPdGK0fTc2z5nklufY+t5iWEEJYihSfRKUVROH78OHv27EGr1ZKcnIyzs/M5nevEiq8wNjV32L7H2MAnxkpyacEOGK5y4Va1D/1/N63uoNLEa4ZijtGCFjuuUGu5Vu0FQKnSyh2GHB5T+/O9UseevUdwvGkbM/7wB1599VXUajUNDQ00NDTQ2Nh4ToUzIYToTfR6PZs3b+amm26iuLiYDRs2MGvWrNOORF2zZg0bNmxoN+Jp69atfPbZZxQUFODu7s7gwYO57bbb8PPzo7m5meXLl7N161bq6+sJDAxk1qxZjB8/3lIp9rg1a9YwduxYU4EuPDyc8vJyVq9ezezZs/t0F9MXZp4E4IMtWusG0sNs+Z5Jbn2PreYlhBCWIq+SogO9Xs+uXbv45ZdfCAsLY9KkSedcdFKMRur2H+6wfYuxlvnGQrxV9jys9uNO9QAOKk08ZCigWmk/Je9dYxkT1G48ow4gStWPD43l/GSsb3fM28ZSfHFgvksY91w5gw8//JDXXnsNrVZLYGAgUVFRJCYm4uXldU55CCFEb7Fz504aGxuZOHEiF198McXFxWRmZnb58evXr+f1119nwoQJvPXWWzzwwAMYDAZycnIAeP755zlw4ADz5s3jrbfeYsqUKbz88svs37/fXCmZ3eHDh4mKar++YEJCArW1te2aUPRF/p56/D31aOw7jvLty2z5nklufY+t5iWEEJYiI55EO/X19aSnp1NXV0dSUhKhoaHndb6Go3kYW1vbbTMqCh8aT5KocuZRO3/T9jhVP+4x5PFvYxW32fU3bb9F7cM0tRaAGMWJnYZj7FMaSeLXtZpGqVy4w64/KqMDEeFD2DFxImvXruWll146r/iFEKK3Wb9+PcnJybi6uuLq6kpUVBTr169nyJAhXXr8ihUrmD59Otdddx0AYWFhjBw5EoPBQGZmJhkZGSxfvtzUtTQkJISff/6ZTZs2ER8fb660zKqmpqbD+n5ubm4AVFdXExAQYI2wxBnY8j2T3PoeW81LCCEsRQpPwqSoqIidO3fi6OhIamqq6U3H+WgpLUftqMHY+OtUu0J0VGHgFpVbu2P9VRpi6EeG0n6NisEqJ9PX/VRqPLGjAWO7Y2L+d4zS2kpzYSkDBw4kNzf3vOMXQojepLKykp9//pkXXnjBtG3q1Kl88MEH3HPPPbi4uJzx8dXV1Zw8eZKEhIQO++zs7Dh06BB6vb7DmiUGg4GhQ4f2TBJWoCjKaRcA7k6zDGE5tnzPJLe+x1bzEkIIS5HCk8BoNHLgwAGys7MJCAggKSkJjUbTI+dW9HpUtP8Hue5/RSPPTp5+nip7jint14Pq97sZoSrg9xMKHH9zDaNOh1qtxmg0IoQQtmTjxo0YjUaeeOKJDvu2bt3KtGnTunSe061HYjQa6devH3//+9877HN0dOxesL2IVqulvr79FO3a2loAPDw8rBGSOAtbvmeSW99jq3kJ0ZNKS2qprm7qsN1oMJCfW4OdqhR1JwVcrdYJXz93S4QorEgKTxe4lpYWduzYQVlZGQkJCcTExPTIJze7du1i9erVPHzFTJT/FYCMgAYVbv8rJFWh7/C4KkWPO+fXAc/ezQXqy8/rHEII0RutX7+eadOmdSgwffTRR6Z9Z+Lh4YGnpyeZmZmMHTu23T5FUYiIiKC5uZmGhgZiYmJ6PH5rGTRoEJmZmcyYMcO0LTMzE3d3d2k60UvZ8j2T3PoeW81LiJ5SWlLLTTMWo9MZznDUj51u1WjsWPnFHVJ8snGyuPgFrLKykg0bNlBdXU1KSgqxsbE9Nlz4wIEDvPbaa5T1U2NsbgHgJHq8sScQDZ7YkabUtXtMiaLjIE3E/WZqXXepnfvhGjPovGIXQojeaP/+/RQWFnLllVcSERHR7r/LLruMQ4cOnXWKsUqlYubMmaxZs4bPP/+c3Nxc9u/fz5tvvsn+/fsZPnw48fHxLFiwgE2bNpGfn8+hQ4f4+OOP+eyzzyyTqBlMnz6dn376iS+//JKCggLS0tJYtWoV06ZNO+30mb6isUVFY4sKgwJ646nvm1v7/tQfW75nklvfY6t5WcOKFSu47LLLTP9Nnz6d66+/npdeeumclsm47LLLWLFiRc8HKrqlurrpLEWn09PpDJ2OlBK2RUY8XYAUReH48ePs2bMHrVZLcnLyOXetO52LL74YFxcX5j71BKke9uRUlbNNqeMalSdqlYpb1D68aSzlFUMxqSp3ajHwsbECV+y4Ru157hc2GNGOiIefN/VcMkII0QusX7+eyMhIQkJCOuwbNWoUHh4erF+//qznueaaa/Dw8OCLL75g5cqVODs7M2zYMAIDA1GpVDz//POsXLmS5cuXU1FRgZubGxEREcycOdMcaVnEqFGjePDBB/nss89YsmQJHh4eXH755cyePdvaoZ23vyz9tUnHUWDnUWei/Vt49MoK6wXVA2z5nklufY+t5mVNCxYsAE510z5x4gSrVq0iIyODpUuX9ump3UKIzknh6QKj1+vZvXs3ubm5REREkJiYaJZPagICAvjPf/7D448/zjPVh3E2wpUqLTeovQGYovbACTWrjZW8oBThjJoRKmfmqH3wVJ3701IxGnEfajvTQ4QQos3cuXNPu8/Ozo5Vq1Z1um/27Nkd3hxNnjyZyZMnd3p8v379uOOOO7jjjjvOPdheaOrUqUydOtXaYfS4D+8usnYIZmOr9wwkt77IVvOylmHDhpm+HjVqFAaDgcWLF5OTk2NTU72FEKdI4ekCUl9fT3p6OnV1dSQlJREaGmrW66WmpvLTTz9RsXUnO6fdgaJrbbd/nNqNcWq30zz6VHFqirrjgo0f2oebvvZVObDWPgoAlb09AddPx87ZiaVLl6IoCnq9HqPRiMFgwM7OrscWTRdCCCGEEEL0DIPh1DQtT89fZz5s27aNTz/9lPz8fJydnRkzZgy333477u7t1wJqampi6dKlbNy4kdraWqKiorjvvvs6HSEshLAOKTxdIIqKiti5cyeOjo6kpqai1Wotdm23scOw8/FEX1Rm9msZp1902nVI1Go111577Wm7OQkhhBBCCCHMT6fTAadmYxw5coT//Oc/XHHFFabF2jdt2sTrr7/O5MmTmTVrFpWVlaxatYrDhw/z5ptvtvsw+csvv2TcuHHcfffdNDc3s3LlSp555hk++OAD7O3l7a4QvYH8Jto4o9HIgQMHyM7OJiAggKSkJIuN+jEajeTk5HDgwAH010+h39ufobR27GTXE9QaB7xTkwmaMJZjaWkoitLhGC8vLyk6CSGEEEIIYWVXXXVVu+9dXV0JDw9HURQURWHJkiWMGTOGhx9+2HRMdHQ0DzzwABs3bmzXxfXaa6/lrrvuMn0fGBjIvHnz+OGHH5gwYUK34jIajZ2+j+iqtpFbbf9vTZaMxXie1zAaDGaPs7fcG1uMoytL90jhyYa1tLSwY8cOysrKSEhIICYmpse61p2JoigUFxeTkZFBbW0tISEhxD/zENnHyzi57nuMLboev6ZK48DQ9xfg2N+H5ORkfvjhhw7HhIWF9fh1hRBCCCGEEN2zcOFC09eNjY3s27ePd955h4MHD3LttddSUVHBbbfd1u4x0dHR+Pn5kZGR0a7w5OTUviN2XFwcjo6O5OXldTuuw4cPo9ef/wflhw8fPu9z9BRLxJKfW3Nej8/JycGgVPZQNGfWW+6NLcURHx9/1mOk8GSjKisrSU9Px2AwkJKSYhq2aonr7tu3j5MnTzJgwABGjx5tmqs95P+e5/thV9Bysgp6sMKrcrAnccmrOPr6AKc+5YiNjSU7O7vdcbt27aKsrIzo6GiLTjUUQgghhBBC/Co2Nrbd9yNGjMBgMPDll1+aml909ve6h4cHtbW1Zz2/s7Mz1dXV3Y4rKirqvEc8HT58mKioKLM0cOqtsdipSoEfz/nxYWFhRMWY9/1qb7k3F2ocUniyMYqicPz4cfbs2YNWqyU5ORlnZ2ezX7ehoYHMzEzy8/Nxd3dn/Pjx+Pn5tRthpfHxYmzaJ6RfdB2t1XUoPfBpgsrBnvh/PIPf1e27jMTHx1NVVUVJSQnw6z9mhw8fJi8vDz8/P2JiYujfv79FRoEJIYQQQgghTs/f3x8ABwcHgE4LR9XV1Wf9QN1gMFBTU3NOHzT31LIcdnZ2Vi88tbFELOrzPL/agj+v3nJvLrQ4pPBkQ/R6Pbt37yY3N5eIiAgSExPN/iTS6XRkZ2dz5MgRNBoNI0aMICws7LQv2i4RwYzb8QW7rvwjjccLMDa3nNN1VQ72qOzsGPrhywTMnNZxv0rFmDFj2LBhAwaDwRTToEGDKCgo4ODBg6SlpeHl5UVMTAwBAQGy/pMQQgghhBBWkpmZiZ2dHYGBgXh5efH999+Tmppq2n/w4EFKS0u57rrrzniebdu2YTQaGT58uLlDFkJ0kRSebER9fT3p6enU1dUxevRos7cPNRgMHDt2jKysLAwGA7GxsURFRZk+oTgT55BAxv/8FcdefY8jL76LSq3u+rpPajVqezu0Y4aRuPRVnIL8T3uoRqNh6tSp6PV6U1FJrVYTEhJCcHAwJSUlHDx4kPT0dFxdXYmOjiY0NLRXVJ6FEEIIIYSwVXv27AFOLeZdU1PDDz/8QHp6Orfddhvu7u7ceuutLFy4kFdeeYVx48ZRWVnJJ598QmhoKFOmTGl3ru+//x4PDw8GDBhAbm4uq1atYuzYsV1ad0YIYRlSeLIBRUVF7Ny5E0dHR1JTU826fpGiKJw4cYLMzEwaGhoICwtj8ODBHRb1Oxu1gwORT95L4Oyryfu/j8l/bxVGnQ5UaoxNze2OVTnYo9Y4YGzW4XPxRYT/9Va8J4/t0hQ5jUbTaRc/lUqFv78//v7+VFRUcOjQIX755Rf2799PZGQkgwYNslj3PyGEEEIIIS4kTzzxhOlrJycngoODmTt3LlOnnlo+Y+rUqWg0Gj777DO2b9+Os7Mzo0eP5vbbb+/wN7qvry9paWnk5OTg4ODAJZdcwu23327RfIQQZyaFpz7MaDRy4MABsrOzCQgIICkpyazFkvLycvbt20dFRQX+/v6MGzcODw+P8zqnc0gg4X+7n6IJQ4hWO9GafZyqHXtoKS1H0Ruxc3VGOzIBjxHxeI5JNC0g3pO8vb1JTk6mrq6OQ4cOkZWVxcGDBwkPDycqKsoia2QJIURnCgsLu7SIqrUUFxcDvT/O7mrLq7hCR32jbY2CLak8NcLY1u4Z2O7zEWw3N1vNC6Curs7aIfRKs2fPZvbs2V06dsKECUyYMOGMx3z77bc9EZYQwsyk8NRHtbS0sGPHDsrKykhISCAmJsZsi2TX1dWRkZFBYWEhWq2WCRMm9FiXPL1ez5YtW6itraU6LpD4i1MI++utPXLu7nJzc2PkyJHEx8dz5MgRjh49ypEjRwgODiYmJua8i2xCCNFVRqMRR0dH4uLirB3KWWk0mj4RZ3dpNBom3n/E2mGYhcZeZZP3DGz3+Qi2m5ut5gXg6OiI0Wi0dhhCmJ1W64RGY4dO1/3O5RqNHVpt92bPiL5HCk99UGVlJenp6RgMBlJSUnqsCPR7LS0tHDhwgGPHjuHk5ERSUhIhISE9VuAyGAxs377d9AlXa2trj5z3fPXr189UzMvJyTF1wvP39yc6Olo64QkhzE6tVtPS0kJBQQHu7u7WDue0CgsLiYuL6/Vxdpet5gW/5vbz+zG4OdvWaK7iCh0T7z9i0/fN1nKz1bwAamtrCQoKkuY14oLg6+fOyi/uoLq6qcM+o8FATk7OqWZPnaylq9U64etnW7//oiMpPPUhiqJw/Phx9uzZg1arJTk52SzTwPR6PUeOHOHgwYMAxMfHExkZib19zz1djEYj6enplJWVmbb1tiHWDg4OREVFMWjQIPLz8zl06JB0whNCWJS7u3uvfjPW9rrd2+PsLlvNC37Nzc3ZzuYKT23TIm35vtlabraalxAXIl8/904LSAaDAYNSSVSMrzRxuoBJ4amP0Ov17N69m9zcXCIiIkhMTOzxX1xFUcjLy2P//v00NTURERHB4MGDcXR07NHrGI1GduzYYZrX36ampqZHr9NT1Go1oaGhhISESCc8IYQQQgghhBCiG6Tw1AfU19eTnp5OXV0do0ePJiQkpMevUVpayr59+6iuriYwMJAJEybg5ubW49eBU4uUnzhxosP25uZmWltbcXBwMMt1z9fpOuEdOHCAyMhIIiIipBOeEEIIIYQQQgjxG1J46uWKiorYuXMnjo6OpKamotVqe/T8NTU1ZGRkUFxcjLe3N5MnT8bHp+c7x/1W//79GTduHIWFheTm5rbbV1tbi7e3t1mv3xN+3wmvrbugdMITQgghhBBCCCF+JYWnXspoNJqKGQEBASQlJfXoaJqmpiYOHDhATk4OLi4ujB07loEDB1pk0WyVSkVgYCBarZbc3FwGDx5Ma2sr5eXlfW7EkHTCE0IIIYQQQgghTk8KT71QS0sLO3bsoKyszNRdracKQq2trRw6dIjDhw+jVqsZOnQoERERVlmjqLCwELVaTVRUVK+dXtdVv+2Ed/z48Xad8GJiYvDx8ZFOeEIIIYQQQgghLjhSeOplKisrSU9Px2AwkJKSgq+vb4+c12g0kpOTw4EDB9DpdERGRhIbG2vVEUZFRUUMGDCgzxedfsvBwYHo6GgiIyNNnfC2bNkinfCEEL3KLbfcwtSpU5k9e7a1QxFCCCGEEDZOCk+9hKIoHD9+nD179qDVaklOTu6RdYIURaG4uJiMjAxqa2sJDg4mISEBFxeXHoj63Ol0Ok6ePMmwYcOsGoe5nK4TnpubG1FRUdIJTwhxTt544w02btxo+t7BwQF/f38mT57MddddJyMrzyAtLY2PP/6Y4uJiPDw8mDJlCjfffHOffy221bzalNfZ8f5mLQPcDdwxqdra4fQYW75vtpqbreYlhBCWIIWnXkCv17N7925yc3OJiIggMTGxR/4Rq6qqYt++fZSVldG/f3+mTJmCl5dXD0R8/oqLi1EUhcDAQGuHYlbSCU8I0dOio6N5/PHHURSFpqYmtm7dytKlS/H19WXixInWDq9X2rNnD6+99hqzZ89m9OjR5Ofn8/bbb6NWq5kzZ461wztntppXmzve80dRThVTB7g3WjmanmPL981Wc7PVvIQQwlKk8GRl9fX1pKenU1dXx+jRowkJCTnvczY0NLB//37y8vJwd3fnoosuwt/fv1d9El5YWIiXlxdOTk7WDsVipBOeEKInaDSadtOw/fz8+PTTT6moqABOTa3+9NNPWbduHZWVlfj6+nLttdcybdq0duepqKhg0aJFpund48aN495776Vfv34WzccS1qxZw9ixY7nhhhsACA8Pp7y8nNWrVzN79uw+OwXaVvNq88LMkwB8sEVr3UB6mC3fN1vNzVbzEkIIS5FXSSsqKipiw4YN6PV6UlNTz7vopNPpyMjI4Ntvv6W0tJQRI0Zw8cUXExAQ0KuKTgaDgZKSEgICAqwdilW0dcKbPn06kZGR5OTk8PXXX/PTTz9RU1Nj7fCEEH1IS0sLX331FZ6enqSkpADw8ccf8+9//5tbbrmFf/zjH1x11VW89957bNiwod1jt2/fzsCBA3nppZd45JFH2LVrFytXrrRGGmZ3+PBhoqKi2m1LSEigtraWkpISK0V1/mw1rzb+nnr8PfVo7BVrh9KjbPm+2WputpqXEEJYiox4sgKj0Wga7RIQEEBSUtJ5TbcyGAwcO3aMrKwsDAYDMTExREdH99pFu8vKytDr9TY/ze5snJycOnTCy83NlU54Qogz2r9/P1deeSVwaqq2oihMnToVe3t7dDodq1ev5q677mLy5MkAhIaGUlZWxsqVK5k6darpPFdddRUzZ84EYNCgQVx77bWsXr2aO+64w/JJmVlNTQ2urq7ttrm5uQFQXV3dZz8IsdW8bJ0t3zdbzc1W8xJCCEuRwpOFtbS0sGPHDsrKykxFh3MtLiiKQmFhIRkZGTQ0NBAaGkp8fHyvn75WWFiIq6sr7u7u1g6lV2jrhDdo0CAKCgo4ePAgW7Zswdvbm+joaAIDA6UAJYQwiYyM5KGHHgJOFZ5OnjzJxx9/zNy5c5k/fz46nY64uLh2j4mLi+Pzzz+nsbHxtNN6Q0NDqa+vp66uzvSGylYoinLatRP78uurreZl62z5vtlqbraalxBCWIoUniyosrLStJZGSkpKuzU6uqu8vJx9+/ZRUVGBn58fycnJaLXangvWTBRFoaioiODgYPmH+nfs7OykE54Q4qwcHR0JCgoyfR8WFoaXlxf33XcfmZmZnT5GUU5NVTrT625ra2u7Y22JVqulvr6+3bba2loAPDw8rBFSj7DVvGydLd83W83NVvMSQghLkTWeLEBRFI4dO8bmzZvp168fU6dOPeeiU11dHenp6WzevBmDwcCECRNISUnpE0UnOFV8a25uvuCn2Z1JWye8SZMmkZqairu7O7/88gtff/012dnZ6HQ6a4cohOhlmpqaAPD390ej0ZCVldVu/4EDB/D19T3jiNjs7Gz8/PxscjTqoEGDOhTlMjMzcXd3P68PgazNVvOydbZ832w1N1vNSwghLEVGPJmZXq9n9+7d5ObmEhERQWJi4jmNWmlpaSErK4tjx47h6OhIUlISISEhfW7UUGFhIY6Ojnh7e1s7lD7B29ubcePGSSc8IYSJTqejtLTU9PXx48dZvnw54eHhJCYmMmPGDJYvX46zszMRERHs27ePtWvXcu+997Y7z4EDB0xvnPbt28eaNWuYO3euNVIyu+nTp/PMM8/w5ZdfMmrUKI4dO8aqVau48sor+/RIUlvNq01jy6m/cQwK6I2nvleroZ9D3x6VZ8v3zVZzs9W8hBDCUqTwZEb19fWkp6dTV1fH6NGjz6lrncFg4MiRI2RnZ6MoCoMHDyYyMhJ7+75564qKivD395e2s93U1glv8ODBHDlyhGPHjnH06FGCg4OJjo6WYd5CXEAOHTrErbfeCpyaouvp6cn48eO5/vrr0Wg03HTTTdjZ2bF06VKqqqrw9fXlrrvu4uKLL253ntraWhYuXEh5eTne3t788Y9/ZMKECVbIyPxGjRrFgw8+yGeffcaSJUvw8PDg8ssvZ/bs2dYO7bzYal5t/rLU3/T1UWDnUWei/Vt49MoK6wXVA2z5vtlqbraalxBCWIpKscXFHHqBoqIidu7ciaOj4zmtv6QoCvn5+WRmZtLU1ERERARxcXH069fPPAFbQF1dHd9++y3jxo2TqXbnqbW11dQJr6mpSTrhCWFjamtr8fDwoKampldPfTtx4gRBQUG9Ps7ustW84NfcDq0cjJuzbY3UKC7XMeKugzZ932wtN1vNC/rO67g4N6UltVRXN3XYbjQYyMnJISwsDHUno+G0Wid8/SzzfDAYDGRnZxMbG2vVkXkSh8QBMuKpxxmNRtN0qICAAJKSktBoNN06R1lZGfv27aOqqorAwEAmTJhgEx2GCgsLsbOzk7nwPeBMnfBiYmIICAiQApQQQgghhBA9rLSklptmLEanM5zhqB873arR2LHyizssVnwSoreQwlMPamlpYceOHZSVlZGQkEBMTEy33vzX1NSQkZFBcXExXl5eTJo0if79+5sxYssqKirC19e3z04T7I1+2wmvuLiYQ4cO8cMPP+Dm5kZ0dDQhISGy9oAQQgghhBA9pLq66SxFp9PT6QxUVzdJ4UlccKQC0EMqKir48ccfMRgMpKSkdGtUT1NTEwcOHCAnJwdnZ2fGjh3LwIEDbWrESnNzM+Xl5YwaNcraodgklUpFQEAAAQEBVFRUcPDgQX7++Wf2799PZGQkERER3R55J4QQQgghRHcdPnyYv/71r6bvExISePXVV7v8+DfeeIOMjAyWLVtmjvCEEFYghafzpCgKx44dY+/evWi1WpKTk7vcaUyv13Po0CEOHTqEWq1m6NChRERE2OQIlaKiIlQqFf7+/mc/WJyXtk54tbW1HD582DT1MyIigsjISOmEJ4QQQgghzGbgwIEsWLAAgPfff9/K0QghegMpPJ0HvV7P7t27yc3NJSIigsTExC4VjYxGI7m5uezfvx+dTkdkZCSxsbE2PSKlqKgIb2/vPr04el/j7u7eoRPekSNHpBOeEEIIIYQwG2dnZ4YNGwaAq6urlaMRQvQGUng6R/X19aSnp1NXV8fo0aMJCQk562MURaGkpISMjAxqamoIDg4mPj7e5l+Q9Xo9paWlxMfHWzuUC5KTkxNDhgwhNjbW1AkvNzeXgIAAoqOjpROeEEIIIYSwiJKSEhYvXszevXtpbW1l0KBBzJkzhyFDhnQ4du/evaxcuZLDhw/j5eXFjBkzuPzyy03726bk3XfffXzyySccPXq00+OEENYnhadzUFRUxM6dO3F0dCQ1NRWtVnvWx1RVVZGRkUFpaSn9+/dnypQpeHl5mT/YXqCkpASDwUBAQIC1Q7mgSSc8IYQQQghhLdXV1cybNw9nZ2fuvPNO+vXrx4YNG3jyySdZsGABCQkJpmNPnjzJa6+9xh/+8AeuueYa0tLSeOeddwgPDycuLs50XFlZGYsWLeIPf/gDM2bMOO1xXWU0GlEU5czHGM5tYfHfPt5wnufoirZrWOJaEseFHUdXZn1J4akbjEajab2cgIAAkpKSzjo9rrGxkczMTPLy8nBzc2PcuHEX3Bv8oqIi3N3dcXNzs3Yogo6d8A4ePCid8IQQQgghhFl9+eWX1NfX849//MP0Afz48eO59957WbJkCQsXLjQd6+HhwXvvvYeLiwsAw4YNIz09nV27drUrKGm12i4d11WHDx9Gr9ef8Zj83Jpun/e3cnJyMCiV53WO7jh8+LDFrnUmEkd7thRHV2Y2SeGpi1paWtixYwdlZWUkJCQQExNzxuKRTqfj4MGDHDlyBHt7e4YPH054eDhqtdqCUVuf0WikqKiIiIgIa4cifue3nfDKy8s5dOiQdMITQgghhBBmkZGRQWxsbLtZH2q1mosuuoiPP/6Y5uZm03qwGo3GVEyCU0tHuLu7U1FR0e6cXT2uq6Kios464slOVQr8eE7nBwgLCyMqpusd0M+VwWDg8OHDREVFWfVDZYlD4gApPHVJRUUFP/74IwaDgZSUFHx9T/9CYTQaOXbsGFlZWej1eqKiooiJicHBwcGCEfce5eXl6HQ6mWbXy/n4+ODj40NtbS2HDh2STnhC9BKFhYXU1tZaO4zTKi4uBnp/nN1lq3nBr7kVV+iob7St0a0llTrAtu+breVmq3kB1NXVWTuEXqe2thY/P78O27VaLUajkfr6+jM2InJwcDhrUag7x3WmK4ME1Of5Jl1tZ2fRgoOdha8ncUgcnZHC0xkoisKxY8fYu3cvWq2W5OTk074BVxSFwsJCMjIyqK+vJywsjMGDB1/wb9iLiopwcnK6YNaz6uvc3d0ZNWoU8fHx0glPCCsyGo04Ojqe0zQBS9PYq/pEnN2l0WhsMi84ldvE+49YOwyzsPX7Zou52WpeAI6OjhiNRmuHYVUGg8H0Aby7uzvV1dUdjqmurkatVtt8wyUhLmRSeDoNvV7P7t27yc3NJSIigsTExNNWAisqKti3bx/l5eX4+fmRnJzcpQXHbV1bMe5CW9PKFvy2E15b8amtE15MTAw+Pj7WDlEIm6ZWq2lpaaGgoAB3d3drh3NahYWFxMXF8fP7Mbg5W/9Tu55SXKFj4v1Hev3P/1y03TPJrW+x1dxsNS84NbonKCjogltm4/fKysoYNmwYAEOGDOGrr76ivLzc9Lek0Whk27ZtREdHn3G0kxCib5PCUyfq6+tJT0+nrq6O0aNHExISctrjMjMzKSgowMPDg5SUlE6Hj16oampqaGhokGl2fZiDgwMxMTFERkaSn5/PoUOH2Lx5s3TCE8JC3N3de/WbsbapMW7OdjZVeGqbgtbbf/7nou2eSW59i63mZqt5Xcg2bNiAvb09Li4u/Pjjj5SXlzNx4kQArrnmGjZu3Mhjjz3GzJkz6devH+vXr+fEiRMsWLDAuoELIcxKCk+/U1RUxM6dO3F0dCQ1NbXTkUstLS1kZWVx7NgxHB0dGTVqFCEhIRf8Jxq/V1RUhL29PQMGDLB2KOI82dnZERYWRmhoqHTCE0IIIYQQnTp69CgbN27EYDAQGBjI448/zvDhwwHw9PTk9ddf58MPP+T999+ntbWVQYMG8eKLLzJkyBArRy6EMCcpPP2P0Wg0LagcEBBAUlJSh45eBoOBI0eOkJ2djaIoxMXFERUVhb29/Bg7U1hYiL+/vxQkbMiZOuFFRUURHh4unfCEEEIIIS5Q99xzD/fcc89p9wcEBPDUU0+d8Rzz5s3rdPuyZcvO6bieptU6odHYodMZuv1YjcYOrdbJDFEJ0btJxYRTI5h27NhBWVkZCQkJxMTEtJs+pCgKBQUFZGRk0NTURHh4OIMHD5Z5yGfQ2NhIVVUVUVFR1g5FmMnvO+Ht37+frKwsIiIiiIqKwslJ/lEVQgghhBC2xdfPnZVf3EF1dVOHfUaDgZycHMLCwjrtfqfVOuHrJ9NKxYXngi88VVRU8OOPP2IwGEhJScHX17fd/rKyMvbt20dVVRUBAQGkpKTIHPQuKCoqQqVS4e/vb+1QhJmdrhNeSEgI0dHR8vsihBBCCCFsiq+fe6cFJIPBgEGpJCrGV2Z9CPEbF0zhqbW1FcDUzlNRFI4dO8bevXvRarUkJyfj7OxsOr62tpaMjAyKiorw8vJi0qRJ9O/f3yqx90WFhYUMGDBApl1dQDrrhJeTkyOd8IQQQgghhBDiAnZBFJ4URSEtLY2WlhYuvvhi1Go1v/zyC3l5eURERJCYmGiqSDc3N3PgwAGOHz+Os7MzY8aMISgoSDp3dYNOp+PkyZMMHTrU2qEIK5BOeEL0PhkZGTz66KMsXbq0w8heIYQQQgghzKlPFZ4UoxGlqQ6MBlCpUTm5orI7ewplZWVUVVUB8MMPP9DS0kJDQwOjR48mJCQEAL1ez+HDhzl48CBqtZohQ4YwaNAgGSJ5DkpKSjAajQQEBFg7FGFF0glPiJ6XlpbGK6+8Yvr+lVdekU5A3VBeZ8f7m7UMcDdwx6Rqa4fTI9LS0vj4448pLi7Gw8ODKVOmcPPNN9vE66vk1jfZam62mpcQQlhCry88KS2N6E8cwliSg9JQA4oCKhWgnPrayRU7nyDsgmNRu3p2eo4DBw6gUqlQFIWTJ0+iVquZMmUKWq0Wo9FIXl4e+/fvp6WlhUGDBhEbG4ujo6NlE7UhhYWFeHp64uLiYu1QRC/w+054Bw8e5Oeff+bAgQNERkZKJzwhumHMmDEsXbqUkydP8vDDD1s7nD7ljvf8UZRToy0HuDdaOZqesWfPHl577TVmz57N6NGjyc/P5+2330atVjNnzhxrh3deJLe+yVZzs9W8hBDCUnpt4UlpbaH14A6MxcdApT41ysm0U/n166Z6DCcOYSg4iMrTF4f48aidf13orby8nPLy8nbnNhqNlJaW0tzczL59+6ipqSEoKIiEhARcXV3NnZpNMxgMlJSUSDc70SkfHx8uuuiidp3wsrOzCQ8Pl054QnRBv379Ou2oWlpayvvvv8+ePXswGAzExcVx1113ERYW1u64AwcOsGjRIrKzs/Hy8mLOnDlMmjTJdI5bb72Vu+66i8zMTA4cOIBGo+Gaa65hxowZFsnPnF6YeRKAD7ZorRtID1qzZg1jx47lhhtuACA8PJzy8nJWr17N7NmzUavVVo7w3ElufZOt5mareQkhhKX0yldJQ0URLdtWYyzJOVVk+m3RqTOKEVBQqkvR/fAF+oJs0679+/d3+pB9+/bx/fff4+DgQGpqKmPHjpWiUw84efIkra2tBAYGWjsU0Yu1dcKbPn064eHhHD9+nK+//ppdu3ZRW1tr7fCE6FNaW1t58sknqa+v57nnnuOVV17Bzc2Nxx57rMPv06effsoVV1zB3//+d0aNGsXChQs5efJku2O++uorkpOTef3115k+fToffPABhw4dsmRKZuHvqcffU4/GXjn7wX3E4cOHO3zQk5CQQG1tLSUlJVaKqmdIbn2TreZmq3kJIYSl9LrCk6Esj9ZfvoPWlrMXnH5PUcBoRJ+9g9Yjv1BaWkpZWdlpD4+MjGTSpEl4e3ufZ9SiTWFhIS4uLnh4eFg7FNEHODk5MXToUKZPn058fDzFxcWsW7eO7du3dxipKIToXFpaGuXl5TzxxBMMHjyY6OhoHnroITQaDWvWrGl37LPPPsu4ceMICQnhxhtvRK/Xc+TIkXbHzJs3j6lTpxIcHMz111+Pk5MTWVlZlkxJdFFNTU2HD83c3NwAqK6utkJEPUdy65tsNTdbzUsIISylVxWejNVltO7d/L8RTOdBMWLIyUBTnoezszNeXl6dHnbixAmMxvO8ljBRFIWioiLpWia6TaPREBMTw/Tp0xk5ciR1dXVs3ryZzZs3U1RUhKLYzggFIXpabm4ugYGBuLv/Os3cwcGByMhIcnJy2h3729fmtg8IGhoaTnuMWq3Gzc2twzGid1AU5bQLG/f1f4clt77JVnOz1byEEMJSekXhac6cOahUKhY8+kCHotPFD7/KxQ+/avre6dI7eWH5f85+UsWIU+EBJo0dRWVlZaeHNDU1nXFElOieqqoqmpqaZJqdOGd2dnaEh4dz6aWXMm7cOAC2b9/Od999R05ODgZDN0dBCiFOS94s9X1arZb6+vp229qmV/b1kceSW99kq7nZal5CCGEpVi881dXV8cUXXxAfNYgP12w868iGtEWPc+ul47t4dgW7o7sIDAwkKiqKoUOHMnz4cJKSkkhOTmbChAn4+vqefxICODXNTqPR4OPjY+1QRB+nUqkIDAxk8uTJTJ48GVdXV3bt2sU333zDwYMHaW1ttXaIQlhV2xugfv36ERoaSmFhYbv1nHQ6HYcPH+6wuLiwLYMGDSIzM7PdtszMTNzd3fv83zeSW99kq7nZal5CCGEpVi88ffLJJxgMBt744x/IKT7Jxl8OnPH40bERDOzf+dS5DhQFqssYO3QwiYmJREdHM2jQIEJDQxk4cCC+vr7ShaIHFRUV4e/vLz9T0aPaOuFdeuml+Pn5sX//ftauXUtGRgZNTU3WDk8Iizlw4AA5OTnk5ubyySefoNVqCQkJYcKECXh7e7NgwQKysrI4fPgwr732GjqdjiuuuMLaYfcajS0qGltUGBTQG09939zat0d9TZ8+nZ9++okvv/ySgoIC0tLSWLVqFdOmTTvttKC+QnLrm2w1N1vNSwghLMXe2gF8+OGHTEweTcqQaKIG+vH+N1uZOjL+tMc7XXonT950BU/dfBUAZdW1PP3hl3z70z4aW3QMjQjmuduuJXlwJABGReGl+Y+zZM0GCgoKCAkJ4b777uO+++6zSH4Xivr6empqahg8eLC1QxE2qq0T3uDBgzly5AjHjh3j8OHDhISEEB0d3W59GyFs0ebNm9m0aRNqtZqIiAieffZZHB0dAXjxxRd57733eOqppzAajcTGxvLSSy/J78Vv/GWpv+nro8DOo85E+7fw6JUV1gvqPI0aNYoHH3yQzz77jCVLluDh4cHll1/O7NmzrR3aeZPc+iZbzc1W8xJCCEuxauEpOzubnTt3svzl+WA0MHtqMs8u+4rC8ioCfTzP+viG5hYmPfgSOr2B52+fQaCPJ2//eyNXPvkmP/zjKaKD/Ln/7x/x0YYfeOLJp0hOTmbr1q088MADVFdXM3/+fAtkeWEoLCxErVbLcGNhds7OzgwdOpTY2FiOHz/O4cOHycnJITAwkOjoaJnqKWzWmT408fPz4+mnnz7tY4cMGcK3337bYftvt/n6+nZ6zLJly84h2t7nw7uLrB2CWUydOpWpU6daOwyzkNz6JlvNzVbzEkIIS7Bq4Wnx4sVotVquGB4FxhZmTzlVeFq6bhtPzr7yrI9fvv4HckrK2fHO0wwJDwJgXHwUY+59lm0Zh1GrVHy4bhvP3XYtT85/CpWdPRdffDFqtZoFCxbw5z//GW9vb3OneUEoKirC19cXBwcHa4ciLhBtnfAiIyPJy8vj0KFDbN68GR8fH2JiYvD395fFk4UQQgghhBDCyqy2GI9er2fFihVcffXVNNXXUl3fiJOjhglDo1mybhsGg/Gs5/jhwBFC/XxMRSeAfhoH9r7/AndOn0DavoMoisL0MYm01lWj1+vR6/VceeWVNDc3s23bNnOmeMFoaWmhvLycgIAAa4ciLkC/74SnKIp0whNCCCGEEEKIXsJqI57Wrl1LaWkpS5cuZenSpR32f/PTPq4YO+yM56israe/h9sZ9wMM/+N8+GPHaXVFRbY57N7SiouLURRFCk/Cqto64QUGBlJeXs7BgwfZtWsX+/fvJzIykoiICBmRJ4QQQgghhBAWZrXC04cffkhISAhLly5F9/M6MP46KuGGF/7JB19vPWvhycPFmdyS8g7bd2Qdw925Hx4uzgCse+VhPMdOQ+3k2u644ODgHshEFBYW4u3tjZOTk7VDEQL4tRNeTU0Nhw4dYv/+/WRnZxMREUFkZKQ8V4UQQgghhBDCQqxSeCotLeXbb7/loYceYuLEibQ4VKHUV5r2z5yQxPvfpJFbcvKM5xkXH8lXP+xmf84J4sMGAtCia+WGF95lRsoobrt0PADltfVcPC4FlfrUzMLvvvuORYsWsWjRIgYMGGCmLC8Mer2ekpIS4uLirB2KEB14eHiQlJREfHw8R44c4ejRo9IJTwghhBBCiB5WWlJLdXVTh+1Gg4H83BrsVKWo7ew67NdqnfD1k7/JbZ1VCk/Lli1Dr9dzww03AKD29MXwm8LTTVPH8q+1W1j8zfdnPM+ciy/i3f9s4g9/e5tn5lyFj4cb/7dmM00tOv585WTCAwZww+Qx3PvWMoo8whg5ciSHDh3iiSeeICwsjKioKLPmeSEoKyvDYDAQGBho7VCEOK3fdsI7duwYR44cMXXCi4mJkSYDQgghhBBCnKPSklpumrEYne5Ma6v+2OlWjcaOlV/cIcUnG2eVwtPSpUsZPHgwQ4YMAUA9IBhD4SEwnlpQfFR0ONFBfny0fjth/gPQ2HesjAK4Ofdjw+uP8sQHq5n3z0/QG42Mig7ju1cfJjzg1Eim9x6+k9e/+4X/+7//o6CgAF9fX2bNmsULL7yAXScVV9E9hYWFuLm5ycgR0SdoNBpiY2OJiooydcLbtGmTdMITQgghhDCjefPmkZWVxZQpU5g3b561wxE9rLq66SxFp9PT6QxUVzdJ4cnGWaXwlJWV1e57tXcgOPSDlkbTtr3vv9DpY5vWfdDu+wBvLUsfveu017JXq3jm5df526J3zyNi0Rmj0UhRURGhoaHWDkWIbmnrhBcWFkZRUREHDx5k+/btuLu7Ex0dTXBwsBSmhRBCCCF6QGlpKdnZ2QQFBZGens59992HRqOxdlhCCAtSWzsAONWNyn7QcFD38Bs9tRq1fwQqR+eePa8AoLKykpaWFplmJ/qstk54kydPZtKkSbi6urJr1y6++eYbDh06RGtrq7VDFEIIIYTo09LS0nBxcWHu3Lk0Njby008/WTskIYSFWa2r3e/ZBUZhKDyMUnMSFKWHTqrBIWZsz5xLdFBYWEi/fv3w8vKydihCnBeVSkX//v3p37+/qRNeZmYmWVlZ0glPWFVhYSG1tbXWDuO0iouLT/1/hY76RtsZJVhSqQN6/8//XLTdM8mtb7HV3Gw1L4C6ujprh9BrpKWlMX78eGJiYggNDSUtLY2LLrrItP+RRx5BURQuvvhiVq9eTXFxMYGBgdxzzz1otVqWL1/Onj170Gg0TJ48mdtvvx07Ozu2bdvGggULWLBgAcOGte+Gft999+Hp6clzzz1n6XSFEJ3oNYUnlUqFZsgkWtL/DXrdeZ9PUanQDJ2EykGGcZqDoigUFhbi7++PWt0rBs4J0SNO1wkvNDSUqKgoWc9MWITRaMTR0bFPdAzVaDRMvP+ItcPocRqNpk/8/M+Fxl5lu7nZ8n2z0dxsNS8AR0dHjP9bw/ZClZeXR25uLvfeey8AqampfPTRRzQ0NODi4mI6bv/+/dTX1zNz5kycnZ1ZunQpzz33HIqicOmll/Loo4+SmZnJ559/TmhoKFOnTiU5ORlvb2++/vrrdoWngwcPcvToUZ599lmL5yuE6FyvKTwBqJxc0Yy+HN3OtWBoPeeRT0YgQ+dOvKM7rj0bovifuro66uvrSUxMtHYoQphFZ53wjh8/fk6d8PQGhQMHa6iuacXOXkVwgDPBA2UKsDg9tVpNS0sLBQUFvbrYWVhYSFxcXK+Ps7tsNS/4Nbef34/Bzdl2RqnBqZF3E+8/YtP3zdZys9W8AGprawkKCrrgP6DdsmULfn5+DB48GICJEyeyZMkS0tPTmTp1qum48PBw3nzzTRwcHABobGxk4cKFPPHEE4wfPx6ApKQk0tLS2L17N1OnTsXOzo5LL72UVatWUVlZaZqFsXbtWvz9/Rk1alS34zUajSjnMfvGYDC0+39rsmQsxvO8htFgMHucveXe2GIcXVkbt1cVngDUrp44Jl+DLiMNpbYcjN34QajtQNMPVcw4Kn/J5Pvvv2fSpEkyRcYMCgsLsbe3Z8CAAdYORQizOl0nvP79+xMdHc1jjz3G8uXLefnll3n00UfbPbaqWse/vyni87WFNDcbsLM71TFPpzMSGeHGDdcMZGJyf9N2IX7P3d29V78Za5sa09vj7C5bzQt+zc3N2c7mCk9t0z1t+b7ZWm62mpf41datWxkzZozpXjs4OBATE8OWLVvaFZ5cXFxMRScAHx8f4NRI9N/q378/VVVVpu8vu+wyVq1axbp167jxxhupra1l27Zt3HLLLefUqfjw4cPo9fpuP66z8/QWloglP7fmvB6fk5ODQansoWjOrLfcG1uKIz4+/qzH9LrCE/xv5FPSdAyFh9Ef3Q2tzXCmYapqO1CpsQuOwz4iEZWdPSkpnmzZssVUfJLOCT2rqKgIX19f7O175VNIiB732054hYWFHDx4kA0bNvDZZ58RHR3Ne++9xyOPPGL6I+fI8Xr++uQ+mlsM6Fr/98lZ66+foB08UseLbx5i3eZSXngsDkdH23oDKIQQQogLW3Z2NiUlJXz11Vd89dVX7fap1Wqqqqrw9PTs9LGnG0Fhb2/fbvqit7c3Y8aM4dtvv+X6669n/fr1qFSqdkWt7oiKijrvEU+HDx8mKirK6h2SLRmLnaoU+PGcHx8WFkZUjG/PBdSJ3nJvLtQ4em3VQKVSYT8wGrvAKIwVhRjL8jFWl6I01IJiAJUaVT8XVNoB2HkHovYNRWX3azqurq6kpKSwZcsWtm3bxoQJE6RI0kOampqoqKggKSnJ2qEIYXEqlYqBAwcSGBjIwoULURSF66+/nueee47Fixdzyy23UHpSz72P7aWp2XDGGcM6nZFf9lXx1MtZvDI/HrVaRj4JIYQQwjZs2bKFoKAg7rnnnnbb9Xo9zz33HN9//z1XXXXVeV/n8ssv54cffmDnzp188803TJo0CTc3t3M6V09NjbSzs7N64amNJWJRn+f51Rb8efWWe3OhxdHrKzEqlQo7n4HY+Qzs9mM9PDwYP348W7duJT09nXHjxvWKm9vXFRUVoVKp8Pf3t3YoQliNSqVi9erVTJ48mblz57Js2TLee+89vL29+eb7ATS3GMj44a84uQbj6DSAktz/oG+tw8M7kUGJj1JVtpMTR5aja6lk7/bBjBj8L2b9YQTvvPMOf/nLXzh06BBRUVGm661atYobb7yR48ePExoaar3EhRBCCCHOwmAwsH37di655JIOHecABg8eTFpaWo8UnhITEwkKCuLdd9+loqKCp5566rzPKYToWTa/2p23tzfjxo2jrKyMn3766YLvLNETioqK8PHxwdHR0dqhCGE12dnZ7Ny5k1tuuQUPDw/+9Kc/sXv3bnStThw81mqaHVxetJnqkz8zaOjDhA2+l+ryn9mf/leKc74gNO4ewgffT03lAR595AEAbrrpJvr168fy5cvbXW/ZsmVMnDhRik5CCCGE6PX27t1LVVUVo0eP7nT/6NGjOXjwICUlJT1yvenTp1NRUUFcXBzh4eE9ck4hRM+x+cITgK+vL2PGjOHEiRPs3r37vObtXuhaW1spLS0lMDDQ2qEIYVWLFy9Gq9Vy9dVXA3DLLbcAsHLVOuztf31pVYytxI58Ac8Bo/ELuRIPn+E0NRQQM+I5vP3G4xs8Dd+gyygs2ENhSRNarZZrrrmGFStWmF6riouL2bBhA7fddpvF8xRCCCGE6K6tW7fi6elJdHR0p/vbClJbtmzpkeu1dc274ooreuR8Qoie1eun2vWUgQMHMnLkSHbt2oVGo2HIkCHWDqlPKikpwWg0EhAQYO1QhLAavV7PihUruPrqq2lubqa5uRknJycmTZpE2uZVJFx0JSrVqWm9Tq4h2Gt+XWdA4+iFg0ZLP5dff4fsHdwx6BsoKm4i0M+JO+64g08++YRt27aRkpLC8uXLcXZ2ZsaMGRbPVQghhBCiu+bOnXvG/QEBAXz77bcA3HDDDR32DxkyxLT/t1599dVOz7du3To8PT256KKLziFaIYS5XTCFJzi1Wr5Op2Pfvn1oNBpiYmKsHVKfU1RUhIeHB66urtYORQirWbt2LaWlpSxdupSlS5d22F9Z+iPefqf+8LGzd+6wX23X+TTVVv2pEU6TJ08mLCyMjz76iJSUFJYtW8Z1112Hs3PHc4kLU35+PnfffTdqtZply5aZ2k6L00tLS+Pjjz+muLgYDw8PpkyZws0339zn13601bzalNfZ8f5mLQPcDdwxqdra4fQYW75vtpqbreZlC+rq6ti4cSMzZsyQZlJWotU6odHYodMZuv1YjcYOrdbJDFGJ3uSC+82Mjo5Gp9ORkZGBg4MDERER1g6pzzAajRQVFREZGWntUISwqg8//JCQkJBOi07Tp19Daf5/TYWn7vD0cABOLVx+66238uabb3LvvfeSlZXFe++9d75hCxvy3XffER4eTlVVFRs2bOj002Lxqz179vDaa68xe/ZsRo8eTX5+Pm+//TZqtZo5c+ZYO7xzZqt5tbnjPX8U5VS3zwHujVaOpufY8n2z1dxsNS9b8e2336LX65k2bZq1Q7lg+fq5s/KLO6iubuqwz2gwkJOTQ1hYWKfd77RaJ3z93C0RprCiC67wBBAfH49Op+OXX35Bo9EQFBRk7ZD6hJMnT9La2irT7MQFrbS0lG+//ZaHHnqIiRMndth/+ZUz+GzVEpobi7t97uhBv07Ju+2223j22WeZO3cukZGRjBs37nzCFjZEr9ezefNmbrrpJtP6X7NmzUKlOvUG/ZFHHsHV1ZXAwEC2b99OVVUVw4cP55577mHNmjVs3ryZhoYG4uPjmTdvHlqtls2bN7No0SKWLVuGl5eX6Vr/+c9/WLlyJStWrECj0Vgr5fO2Zs0axo4dayrQhYeHU15ezurVq5k9e3aPtc+2NFvNq80LM08C8MEWrXUD6WG2fN9sNTdbzctWXHfddVx33XXWDuOC5+vn3mkByWAwYFAqiYrxlRGCF7AL8lVSpVL9f3t3Hldlmf9//H0OcEBAQFxYFJcEFfclMlNRnLTBJcdqmkom/dpi07dvm202Y5vljDo50zatTlnZz7RsMbVcSkgzTdPEMrUyl4PggoCgcuCc+/cHcZTQFOFwzrl5PR8PH3mu+76u+/PhQuh8zn1dt3r37q3WrVtr3bp1dfY0BbPLyclRo0aN1KRJE2+HAnjNnDlzVF5efsY7TO6+8yZJLuXuXnTOYwYEVBQMrFaLuy0hIUFDhw7VqlWrNH78+NqEDJNZt26djh07psGDB2vYsGHav3+/srOzq5xT+RTXhx56SFOmTNE333yjCRMmqLCwUI888oimTZumXbt2uZ+eOGDAAIWFhemTTz6pMs7ixYt12WWX+XXRSZJ27NihDh06VGnr1q2bioqK/Pr/AcyaV6W4JuWKa1IuW6C5Hgpj5nkza25mzQsA6kuDLDxJFcWniy66SDExMVqzZo0OHTrk7ZB8mmEYstvtatmypftTdaAheu2119SlS5czPqCgb9++at0mSQf2LZVhlJ91PKtFstlO/6N45MiR3MaPapYtW6ZLLrlE4eHhatOmjTp06KBly5ZVOWfw4MG66aab1K5dO/Xp00fdunVTcnKy7rrrLiUmJio5OVn9+/fXtm3bJEk2m03Dhg3T0qVL5XRW7M+wefNm2e12jRgxot5zrGuFhYXV9iZs3LjiDsOCggIvRFQ3zJqX2Zl53syam1nzAoD60mALT5JktVrVr18/NWnSRJ9//jm/OH5DQUGBjh07xjI7NHjfffedtm7d+pvn7P55h958e4t6p/5H3S55qsqxpJ6TdeHv3pZUcadT4/BALfvoGRlG9U/0lyxZouHDh6tVq1Z1lwD8Wn5+vjZs2KBhw4a524YOHarVq1erpKTE3fbrDwhO90CI8PDwKn1GjBihw4cP66uvvpJUsYn+hRdeqNjY2LpOo94ZhnHG2/v9+cMUs+ZldmaeN7PmZta8AKC+NMg9nk4VGBioAQMGaNWqVcrKytKQIUN4Yttp5OTkKCgoSM2bN/d2KIBfuHp0K8XHhui5//6k/Xkn5DIMuVwVx2w2q8rLXbokJVp3TUxSi2ZVn3I3depUbd++XUuXLlVmZqYXooevWrFihVwulx588MFqxzIzM8+4serp3hj9ui0mJkYXXnihFi9erKSkJH355Zd69NFH6yZwL4uKilJxcXGVtqKiIklSZGSkN0KqE2bNy+zMPG9mzc2seQFAfWnwhSepYolBamqqPvvsM2VmZmrIkCFq1IhHOp7KbrcrLi6ODeGAGhjQt5n6X9RU324v0srPD+rQYYdsNovatQ5T+u9i1bTJ6ffN+fDDD7Vz507NmDFDqamp9Rw1fNmyZcs0fPjwagWm119/3X2sNkaMGKFHHnlEr776qmJjY9W7d+9ajecrEhMTlZ2drSuvvNLdlp2drYiICMXExHgxstoxa15mZ+Z5M2tuZs0LAOpLg15qd6qQkBClpqbK5XIpMzNTpaWl3g7JZ5SUlKigoIBldsB5sFgs6topUnfclKipD3TWlLuTlXFV6zMWnSTpq6++UkFBge699956jBS+buvWrbLb7br88svVvn37Kn/S09O1fft2/fzzz7W6xoUXXqiYmBitXLlSI0aMMM0SkhEjRmj9+vVauHCh9u7dq1WrVmnevHkaPny4X3+gYta8Kh0rtehYqUVOQyp3Vbw+Ueb/35Nmnjez5mbWvACgvnDH0ynCwsI0aNAgffbZZ/r88881aNAgBQUFeTssr8vJyZHValVcXJy3QwGABmvZsmVKSkpSmzZtqh1LSUlRZGRktU3Ga8pqtWrQoEH64IMPquwj5e9SUlJ01113af78+Xr11VcVGRmpkSNHKiMjw9uh1YpZ86p022sn/7/jB0nrfghVx7hS3X/5Ye8FVQfMPG9mzc2seQFAfaHw9CsREREaOHCgVq1apS+++EIDBgxo8J9k2O12tWjRgiIcAHjR3XfffcZjAQEBmjdv3hmPT5o0qVpbRkbGad80bd68WUOGDFFYWNj5Beqjhg4dqqFDh3o7jDpn1rwk6b8Tc7wdgseYed7MmptZ8wKA+sBSu9OIjo7WgAEDdPDgQX355ZdyVe4I3AA5HA4dPHiQZXYA0AB899132r59u0aOHOntUAAAAGASFJ7OoEWLFurXr59ycnK0cePG0z7qvCHYv3+/DMOg8AQADcB7772nrl27ql27dt4OBQAAACbBUrvf0LJlS6WkpGj9+vUKCgpSjx49TLPR6rmy2+2Kjo5WaGiot0MBAHjYX//6V2+HAAAAAJOh8HQWbdu2lcPh0ObNmxUcHKzk5GRvh1RvnE6ncnNz1alTJ2+HAgAAAAAA/BCFp3PQoUMHlZWVKTs7W0FBQUpMTPR2SPXiwIEDKi8vV8uWLb0dCgAAAAAA8EMUns5R586d5XA49PXXX8tms6l169beDsnj7Ha7wsPDFRER4e1QAAAAAACAH6LwdI4sFot69uwph8OhdevWKSgoSHFxcd4Oy2MMw1BOTo5at27d4Pa1AgAAAAAAdYOn2tWAxWJRSkqK4uLi9MUXX+jgwYPeDslj8vPzdeLECZbZAQAAAACA88YdTzVktVrVr18/ZWVlafXq1Ro8eLCaNGni7bDqnN1uV3BwsJo2bertUACgwbLb7SoqKvJ2GGe0f/9+Sb4fZ02ZNS/pZG77DztUfCzAy9HUrdx8hyRzz5vZcjNrXpJ09OhRb4cA1Ku83CIVFByv1u5yOrXn50IFWPJkDaj+eycqqpFiYtnaxVN8ZV4oPJ2HgIAADRgwQKtWrVJWVpaGDBmixo0bezusOpWTk6O4uDhZrdwUBwD1zeVyKTg4WJ07d/Z2KGdls9n8Is6aMmtekmQLtGjw7Tu9HYZHmHreTJqbLdBiyrwkKTjIKpfL5e0wAI/Lyy3S2Ctny+Fw/sZZa0/barMFaO67N1B88gBfmhcKT+cpKChIAwcO1GeffabMzEwNGTJEoaGh3g6rThw9elRFRUXq1q2bt0MBgAbJarWqtLRUe/fu9ekHPNjtdnXu3Nnn46wps+Ylncxtw8ud1DjUXHc87T/s0ODbd5p63syWm5m/H48ec+rCm75vsB/ivvnmm5o7d65iY2P1yiuvKOBXd1S88MIL+uCDD9StWzfNmDFDy5cv16xZszR9+nR1795dkjRu3Dh1795dkyZN8kYKqIGCguNnKW6cmcPhVEHBcQpPHuBL80LhqRZCQkI0aNAgffrpp8rKylJaWpqCg4O9HVat2e12BQQEKCYmxtuhAECDFhER4dNvMiuXxvh6nDVl1rykk7k1Dg0w3Rv9yqWDZp43s+Vm5u9HVDh06JDWrFmj1NRUd1tJSYmWLVumwMCTb0X79OmjadOmqV27dt4IE4CHNcwSfB0KDQ3VoEGDVFpaqqysLJWVlXk7pFrLyclRTExMlV8GAAAAAFATaWlpeuedd6q0ffzxx2rSpIk6derkbouOjlavXr1Mt30JgAoUnupA48aNlZqaquLiYq1Zs0ZO5/ndzuYLTpw4oUOHDik+Pt7boQAAAADwY2PGjNHOnTu1ZcsWSZLT6dSHH36oMWPGyGKxuM/bsmWL0tPT3eedjmEYmjVrlv7whz8oOzvb3f7jjz/q4Ycf1pVXXqmrrrpKkyZN0qZNmzyXFIAao/BUR5o0aaIBAwbo8OHDWrt2rd9uJJiTkyNJFJ4AAAAA1Eq7du3Uu3dv911Pa9as0YkTJzR06NAaj/Xiiy8qMzNTDz/8sHsv2h9++EH33HOPoqOjddddd+nOO+9Us2bNNGXKFP3www91mguA88daqjrUvHlz9evXT2vWrNGGDRuUkpJSpZLvD3JyctSsWTOFhIR4OxQAAAAAfu6KK67QlClTtHv3br333nsaOXJkjffFfeONN7R48WI99NBD6tWrl7v9lVde0ZAhQzRx4kR3W0pKinbs2KGPP/5Yt912W42u43K5ZBhGjfqcqnLliy+sgKnPWFy1vIbL6fR4nL4yN2acl18/POB0KDzVsfj4ePXt21dffvmlgoKC1LNnT78pPpWXlysvL09dunTxdigAAAAATKBPnz5q06aNnnzySe3evVsPP/xwjfq/9957mj9/viZPnqyUlBR3e2lpqbKzs/XNN99oyZIl1fpVruSoiR07dqi8vLzG/U43jq+oj1j2/FxYq/67du2S08ivo2h+m6/MjZnmpWvXrmc9h8KTB7Ru3VoOh0Nff/21bDab3xRy8vLy5HQ61bJlS2+HAgAAAMAkxowZo3/9619KT09XVFTUOffbvHmzVq5cqejoaCUnJ1c5dvToUblcLo0ZM0YDBw6s1jc0NLTGcXbo0KHWdzzt2LFDHTp0OKe7QDypPmMJsORJWnve/du1a6cOnTz7RHVfmZuGOi8UnjwkMTFRDodDW7dulc1mU1JSkrdDOiu73a6IiAieJgEAJvTmm29q+fLlmjNnjrdDAQA0MGlpadq4caOuuOKKGvU7ceKEJk+erOeff14PPfSQZsyYoUaNGkmSwsPDZbFYVF5eXq0odb6s1rrZAjkgIMDrhadK9RGLtZbjW+vx6+Urc9PQ5oXNxT0oOTlZHTp00KZNm7R7925vh/ObXC6XcnJy2FQcAHzYk08+qfT0dD3zzDPVjn300UdKT0/Xfffd5z533Lhx9R2iz1q1apVuvvlmjRo1ShkZGXrttde8vs9DXTBrXpUOHQ3Q3z9oqtmfRXk7lDpl5nkzc25m/X6sD0FBQZo8ebJatWpVo34XX3yxBg4cqEcffVT79u3TE0884V4KFxISok6dOmnlypU6fPhwtb65ubl1EjuA2uOOJw+yWCzq0aOHHA6H1q9fr6CgIJ8t7Bw+fFgOh4NldgDg46KiorRs2TL96U9/UosWLSRV7NG3YMECNWnSxH3ejTfeKIfD4a0wfcqmTZs0c+ZMZWRkqG/fvtqzZ4+effZZWa1WXX/99d4O77yZNa9KN7wUJ8Oo2CezRcQxL0dTd8w8b2bOzazfj/4iKSlJkydP1qOPPqqnnnpKkyZNkiTddNNNeuCBB3THHXfoyiuvVHx8vPLy8rRy5Ur16NFDEyZM8HLkACQKTx5nsVh04YUXqqysTGvXrtXAgQPdbxR8id1uV0hIiKKjo70dCgDgNyQkJKhRo0aaN2+ebr/9dknSypUrFRYWpgsuuEAHDhyQJC1atOg3l9Y5HA499thjOnjwoKZPn66oqCgVFRVp9uzZWrdunUpLS9W2bVv9z//8j7p3715v+XnCokWL1K9fP1177bWSpAsuuECHDh3SggULlJGRUWdLK+qbWfOq9PgfD0qSXjHZ3SVmnjcz52bW70d/ctFFF+m2227T008/raZNm2r8+PFKTk7WrFmz9P/+3//TvHnzdOzYMTVr1kxdunRRamqqt0MG8Av//envR6xWqy6++GI1bdpUq1ev1pEjR7wdUhWGYchutys+Pt5vnsAHAA3Zddddp+XLlysvL08ul0sLFizQddddd84/w8vLy/X3v/9dBw4c0D/+8Q9FRUXJ4XDo/vvvV35+vqZMmaJZs2apR48emjJlynk9GciXVG7ieapu3bqpqKjIr5dimDWvSnFNyhXXpFy2wPPf6NcXmXnezJybWb8fPSUjI0NLly79zXNmzJihGTNmSJK6d++upUuXVvmgY86cOe47myqlp6dr6dKlGj9+vLutffv2+tvf/qa3335bixYt0quvvqp77rlHiYmJdZcQgFqh8FRPAgIC1L9/f0VERCgrK0tFRUXeDsmtqKhIJSUlLLMDAD/RsWNH9ejRQ/PmzVNWVpaCgoLUv3//c+rrdDo1Y8YM2e12TZ8+3b08LysrS4WFhZoyZYq6dOmidu3aafz48WrevLkyMzM9mY7HFRYWKjw8vEpb5YM0CgoKvBBR3TBrXmZn5nkzc24AziwqqpFstvPbhNpmC1BUVKM6jgiSb80LS+3qUVBQkAYOHKjPPvtMWVlZSktLU1hYmLfDkt1uV2BgoE8uAQQAnN7YsWN13333afPmzZowYcI53e1kGIb+9a9/afPmzXrhhReq7Am1Y8cOFRQU6KqrrqrSp7y83L18z18ZhnHGp7L4852+Zs3L7Mw8b2bODcCZxcRGaO67N6ig4Hi1Yy6nU7t27VK7du1O+5S1qKhGiomNqI8wGxxfmhcKT/UsODhYqampVYpPISEhXo3JbrcrNjbWJx4rCQA4N8nJyerWrZvy8/M1YMCAc+pz8OBB5eTk6Pjx41qxYoWuvvpq9zGn06n4+Hg9/PDD1fr5wocktREVFaXi4uIqbZV3HkdGRnojpDph1rzMzszzZubcAPy2mNiI0xYqnE6nnEa+OnSK4f2mF/jKvLDUzgtCQ0OVmpqqsrIyZWVlefWpQ8eOHdORI0dYZgcAfujuu+/WI488cs53EjRp0kQzZszQ3XffrTlz5uiTTz5xH2vfvr3y8vIUHByshISEKn/8/cETiYmJys7OrtKWnZ2tiIgIxcTEeCmq2jNrXmZn5nkzc24AgPNH4clLGjdurNTUVJWUlGjNmjUqLy/3Shw5OTmyWCyKi4vzyvUBAOevWbNmio2NPefzg4KCFBgYqLS0NN144416+umntWbNGknSkCFDFBMToylTpmjNmjXau3evtm7dqtmzZ2vZsmWeSqFejBgxQuvXr9fChQu1d+9erVq1SvPmzdPw4cP9+tNXs+ZV6VipRcdKLXIaUrmr4vWJMv9frmXmeTNzbmb9fgSA+sBSOy+KiorSwIEDlZmZqbVr16p///71/phZu92u5s2by2az1et1AQDeNWbMGB05ckTTp0/X1KlT1aNHD/3zn//U66+/rueff16FhYWKjIxUp06dNGTIEG+HWyspKSm66667NH/+fL366quKjIzUyJEjlZGR4e3QasWseVW67bWTH4r9IGndD6HqGFeq+y8/7L2g6oCZ583MuZn1+xEA6oPFMAyeCeplubm5Wr16tVq1aqW+ffvW2+aLDodDH374oXr06KGkpKR6uSYA4OyKiooUGRmpwsJCRUT47oab+/btU0JCgs/HWVNmzUs6mdv2uV3UONS/70D5tf2HHOpz0/emnjez5Wbm78ejx5zqOPZb080ZfpvT6dS2bduUnJzs9bv8fCUW4iAOiaV2PiE2NlZ9+/bVnj17tGnTJtVXLTA3N1cul0vx8fH1cj0AAAAAANCwsNTORyQkJMjhcGjjxo2y2Wzq2rWrx69pt9sVFRXl908rAgAAAAAAvonCkw9p3769HA6HsrOzZbPZ1KFDB49dy+l0Kjc316PXAAAAAAAADRuFJx+TnJwsh8OhzZs3y2azqW3bth65zsGDB1VWVsYyOwAAAAAA4DEUnnxQ9+7d5XA49NVXXykoKEgtW7as82vY7XaFhoYqKiqqzscGAAAAAACQ2FzcJ1ksFvXp00ctW7bU2rVrlZeXV6fjG4ahnJwctWzZst6eoAcAAAAAABoeCk8+ymq1qm/fvmrevLnWrFmj/Pz8Ohv7yJEjOn78OMvsAAAAAACAR1F48mEBAQHq37+/IiMjlZWVpcLCwjoZ1263y2azqXnz5nUyHgAAAAAAwOmwx5OPCwwM1MCBA/XZZ58pKytLQ4YMUVhYmCTp6NGjCgsLk9Vas/phTk6O4uLiatwPAFC/7Ha7ioqKvB3GGe3fv1+S78dZU2bNSzqZ2/7DDhUfC/ByNHUrN98hydzzZrbczPz9ePS409shAIDPoPDkB2w2m1JTU/Xpp58qMzNTQ4YM0d69e7Vp0yb16NFDHTt2POexiouLVVhYqM6dO3swYgBAbbhcLgUHB/vFz2pboMUv4qwpm81myrykitwG377T22F4hNnnzYy5mfn7MTg4WC6Xy9thAIDXUXjyE40aNdKgQYO0cuVKLVu2TCdOnJBU8clXTQpPdrtdVqtVsbGxngoVAFBLVqtVpaWl2rt3ryIiIrwdzhnZ7XZ17txZG17upMah5rlbYf9hhwbfvtPnv/7no3LOyM2/mDU3s+YlSUVFRUpISGCFAQCIwpNfCQsLU0xMjPbs2eNuO3TokBwOh2w22zmNkZOTo5iYGAUFBXkqTABAHYmIiPDpN2OVS34ahwaYqvBUueTH17/+56NyzsjNv5g1N7PmBQCoisKTH9mwYUOVolOlvLw8JSQknLV/aWmpDh06pN69e3siPAAAAAAwvbzcIhUUHK/W7nI6tefnQgVY8mQNqP6BTFRUI8XEUmRFw0PhyU8YhqHDhw9LkiwWiwzDcB+z2+1VCk9Ol6G8Aim/xFDRMcllSI1skutEkQxrI8XHx9d3+AAAAADg9/JyizT2ytlyOH5rA/m1p2212QI0990bKD6hwaHw5CcsFosuu+wyHThwQLt27dK+ffvcmxXu27dPhmGo3Cl9u8/QTwcq+rgM6ZT6lCxqIkt8utb9ZFH3Noaiwy1eyAQAAACAGb355puaO3eu+7XNZlNcXJwuvfRSjRkzRgGnuQvI3xQUHD9L0enMHA6nCgqOU3hCg0PhyY9YLBbFxMQoJiZGZWVl2rt3r7Zt26aSkhLZDzv09c9BKnNWFJxOx5BVskgHj0qffmsoKdZQ99YWWSwUoAAAAADUjWnTpkmqeKL2l19+qdmzZ8tut+uOO+7wcmQAvIHCk58ZPHiwMjMzq7RFREQqIekF/XHCFHXuPeicxjEM6Ympj2rB7MfkcrkoPgEAAACoE7169XL/feDAgSosLNTy5cs1ceJEhYSEeDEyAN5A4ckP9erVS//5z38kSUePlWvFhgP6ZOGLeuKudP3j1a+UcEGXcxqn8saob/cZ6ppA4QkAAABA3Wvbtq02btyoEydOKCQkRE6nU2+//baWL1+uQ4cOqVmzZho2bJiuvvrqKsvxPv74Y3300Uey2+0KDQ1V69atNXr0aF188cXuc5YsWaIPP/xQOTk5ioqKUs+ePTV+/HhFR0d7I1UAp0HhyQ9FRETo4osvlmEYWrnVUEqq1DVlqG5Mj9GqxXP05/+bUaPxvs+RWkUbigqj+AQAAACgbv30009q0qSJoqKiJEnPPPOMVq5cqT/+8Y9KTEzUzp079dZbb+ngwYO6/fbbJUlLly7Vs88+qz/96U/q1KmTCgsL9cUXXygzM9NdePrvf/+rFStW6IorrlBCQoLy8/P1zjvv6NFHH9WsWbNMsacUYAYUnvzYwSKp8FjFnUvBIaEKsoVUWTL3xYq39eHcJ2Xf/b1CGoUrJXW0rvvLNIVHNKkyzrpV7+vuPz2gA7l71KNHD02bNk2/+93v6jkbAMDZPPnkk1qxYoWkin3/wsLC1L17d11//fVq06aNl6PzfYeOBujlT6PUIsKpG9IKvB1OnVi1apXeeust7d+/X5GRkbr00kv15z//2RRvtsjNP5k1N7Pm5SkOh0Mul0uFhYVasmSJNm3apDvvvFOStHfvXn3yySe6+eabNWbMGEnSJZdcorCwMP33v//VFVdcoVatWmndunVq166drr/+eve4Q4cOVXFxsSQpLy9P7777rmbOnKnExET3ObGxsXrwwQf1ww8/qGPHjjWK2+VyVXl6+GnPcZ7fxuKn9nfWcoxzUXmN+rgWcTTsOM7l5yCFJz9kGIbKy8v13V6XHGWGigsPa8nbT6u8rFRpI/9HkvTuq0/o7Zce0rAr/qJrJk7VgZyf9PZLD2vn1i/1xMtfyBbSyD3e80/cqGtufkwjB7bVs8/8W+np6dq8ebM6d+7srRQBAGfQsWNHTZ48WU6nUwcOHNBrr72m++67Ty+88IKaNGly9gEaqBteipNhVHw40yLimJejqRubNm3SzJkzlZGRob59+2rPnj169tlnZbVaq7xR80fk5p/MmptZ8/Kk0aNHu/8eGhqqBx98UAMHDpQkffPNN5KkAQMGVOmTmpqq2bNna8uWLWr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\n", 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of paths to go from node i to node j in x steps\n", "\n", "#x = 1\n", "print(\"One step away\")\n", "plot_network_adj(G_dir)\n", "A = nx.to_scipy_sparse_array(G_dir)\n", "\n", "#x = 2\n", "print(\"Two steps away\")\n", "G2 = adj_to_net(A @ A) #A**2\n", "plot_network_adj(G2)\n", "\n", "#x = 3\n", "print(\"Three steps away. Triangles!\")\n", "G3 = adj_to_net(A @ A @ A) #A**3\n", "plot_network_adj(G3)\n", "\n" ] }, { "cell_type": "code", "execution_count": 16, "id": "2058e0be", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/garci061/miniforge3/envs/networks/lib/python3.10/site-packages/scipy/sparse/_index.py:146: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil_matrix is more efficient.\n", " self._set_arrayXarray(i, j, x)\n" ] }, { "data": { "text/plain": [ "array([2, 2, 2, 3, 4, 3])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of nodes reached in 3 steps\n", "number_people = ...\n", "number_people = number_people>0 #Don't count people many times\n", "number_people.setdiag(0) # Remove yourself (in the diagonal)\n", "\n", "display(number_people.todense())\n", "\n", "#print total (sum per row)\n", "number_people.todense().sum(1)" ] }, { "cell_type": "code", "execution_count": 17, "id": "d845823b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 0, 1, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [2, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0]])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([[0, 1, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 1],\n", " [1, 0, 0, 0, 0, 0]])" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display((A @ A).todense())\n", "display(A.todense())" ] }, { "cell_type": "markdown", "id": "6bd6646e", "metadata": {}, "source": [ "## Exercise 3b: Number of triangles and clustering" ] }, { "cell_type": "code", "execution_count": 18, "id": "a426cf21", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Alice', 1), ('Bob', 1), ('John', 1), ('Amy', 0), ('Mike', 0), ('Rose', 0)]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Count number of triangles in the directed network (se A^3)\n", "plot_network_adj(G_dir)\n", "A = nx.to_scipy_sparse_array(G_dir)\n", "path_3 = ...\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(...)" ] }, { "cell_type": "code", "execution_count": 19, "id": "250588dc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Alice', 1.0),\n", " ('Bob', 1.0),\n", " ('John', 1.0),\n", " ('Amy', 0.0),\n", " ('Mike', 0.0),\n", " ('Rose', 0.0)]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Count number of triangles in the undirected network\n", "plot_network_adj(G_undir)\n", "A = nx.to_scipy_sparse_array(G_undir)\n", "path_3 = ...\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(...)" ] }, { "cell_type": "code", "execution_count": 21, "id": "eaa7e22c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Alice': 0.3333333333333333, 'Bob': 1.0, 'John': 0.16666666666666666, 'Amy': 0, 'Mike': 0, 'Rose': 0}\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/hx/nz98f65j615c4ygz7xt694700000gp/T/ipykernel_81311/980830522.py:11: RuntimeWarning: invalid value encountered in true_divide\n", " list(zip(G_undir.nodes(), path_3, potential_links, path_3/potential_links))\n" ] }, { "data": { "text/plain": [ "[('Alice', 1.0, 3.0, 0.3333333333333333),\n", " ('Bob', 1.0, 1.0, 1.0),\n", " ('John', 1.0, 6.0, 0.16666666666666666),\n", " ('Amy', 0.0, 0.0, nan),\n", " ('Mike', 0.0, 1.0, 0.0),\n", " ('Rose', 0.0, 1.0, 0.0)]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Local clustering = number of triangles / number of potential links\n", "print(nx.clustering(G_undir)) #standard nx function\n", "\n", "# Number of triangles\n", "path_3 = (A@A@A).diagonal()/2 # divided by two because there are two directions\n", "\n", "# Number of potential links between neighbors\n", "#(if you have 3 neighbors, there are 3*2/2 potential triangles. /2 since it's an undirected network)\n", "degree = A.sum(1)\n", "potential_links = ...\n", "\n", "list(zip(G_undir.nodes(), path_3, potential_links, path_3/potential_links))" ] }, { "cell_type": "markdown", "id": "86fbb95c", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "id": "75672afb", "metadata": {}, "source": [ "# Exercise 4 Calculate node centrality\n", "- Degree \n", "- Closeness\n", "- Harmonic\n", "- Betweeness \n", "- Eigenvector\n", "- Pagerank\n", "- Katz\n", "- HITS\n", "\n", "\n", "Display using the function `plot_network_distribution`, so the centrality gets displayed as color." ] }, { "cell_type": "code", "execution_count": 22, "id": "f2806068", "metadata": {}, "outputs": [], "source": [ "G = nx.florentine_families_graph()" ] }, { "cell_type": "code", "execution_count": 23, "id": "541bfaf6", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Degree centrality\n", "cent = nx.degree_centrality(G) \n", "cent = cent.values()\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 24, "id": "a9c21674", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Betweeness centrality\n", "cent = ...\n", "cent = cent.values()\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 25, "id": "5c3e3686", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Closeness centrality\n", "cent = ...\n", "cent = cent.values()\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 26, "id": "44a5a75d", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Harmonic centrality\n", "cent = ...\n", "cent = np.array(list(cent.values()))/15\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 27, "id": "f7646a57", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Eigenvector centrality\n", "cent = ...\n", "cent = cent.values()\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 28, "id": "601aff6f", "metadata": {}, "outputs": [ { "data": { "image/png": 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/50rSqOAo9NI9SgghCl1+1UX16tWT6iIhRIGbP/cQ2dlaY4fxWKamKgYOCTB2GEIIIQrI2dNRfDxiVa6qIZWJEq1Gl+u4gKaevPN/LfHwcjJSpAKk4kgIIQqNVBcJIYQQQojSLi0ti49HrCItLQvIaWoN5EoaeVV2YviIQBo08jBGiOJfJHEkhBAFTHoXCSGEEEIIkWP3jghSUjIfub9Dp+qMHtcOlUpZiFGJx5HEkRBCFACpLhJCCCGEECKvsL9vP3KfSqXEuayNJI2KGEkcCSHECyTVRUIIIYQQQuSVmalhYchhNqw5+8hjtFodLq52hRiVeBqSOBJCiOek1+u5cuUKx48fl+oiIYQQQggh/uXk8etMn7ydG9cTHnmMUqlArTYjsLVPIUYmnoYkjoQQ4hlJdZEQQgghhBCPlpSYzi8/7GHT+nOGbSqVklZtfTiw7zKpD62qplabMXVGd9RqMyNGLPIjiSMhhPgPpLpICCGEEEKIx9Pr9WzbfJ6fvgslKTHdsL16TRc++qQN3pWdSUvLInRHBLeiknBxtSOwtY8kjYooSRwJIcRTkOoiIYQQQgghcktLy2L3P8kf13+SP3GxqXz79XaOH71uOM7Kyoxh77agS/faKJU5v2hVq83o2KWmsUIX/4EkjoQQ4hGkukgIIYQQQoj8nT0dxccjVpHy0HSzb6fuQKfTo9HoDMcFta7Kex++hJOTtRGjFc9DEkdCCPEvUl0khBBCCCHEo6WlZfHxiFWkpWUBGBJFWVlawzHlK9jywehWNG7mbZQYxYsjiSMhhECqi4QQQgghhHhau3dEkJKS+cj9DQI8+PJ/XbC0lJ5FJYEkjoQQpZpUFwkhhBBCCPHf3IpKMkxP+zeVSkE1v/KSNCpBJHEkhCh18qsu8vPzk+oiIYQQQgghnoKLq12+SSMArVaPi6tdIUckCpLS2AEIIUqec+fO0bdvX8qXL4+ZmRkVKlSgT58+nDx58j+NM2nSpP+UxAkJCUGhUHD16tV896ekpLB//35+/PFH5s+fT0xMDI0bNyYsLAxHR0cqVaqEQqEgMDCQwMDA/xSrEEIIIYQQpUVQax+src3zbFcqFVhbmxPY2scIUYmCIhVHQogX6u+//6Zx48Y0bNiQH374gXLlynHz5k1+/PFHGjduTGhoKAEBAf95XJ1Oz7UYSEgFBeBsB65lyJVYCg4O5uDBg1SoUMGw7Um9i/bs2cPChQt5/fXXDef8/PPPz/UaCCGEEEIIUZKp1WZ8+llHxn64Os/2qTO6o1bLNLWSRBJHQogX6ttvv6VMmTJs2bIFU1NTw/auXbvi6+vLF198wcaNG//TmOeu6zl0AbI1D7bp9WBlAc399HiVy0keOTs74+zsDDxf7yI/P7//FJ8QQgghhBClzZ07SYbHNWu7EtylBoGtfSRpVALJVDUhxAt1584dIKfS52FWVlZ899139O7dGwCtVsvUqVOpUaMGlpaWWFlZ0aRJE3bt2pVnzL1/w9r5k3m3kxlJCbFodaDTw710+OSLXzAxMeHOnTvMnTsXhULBzJkz+e6779izZw8RERGsXLmSUaNGERgYSOPGjVm2bBkAoaGhBAUFARAUFGSYniZT1YQQQgghhHi83TsuGB6PHNOajl1qStKohJLEkRDiherUqRPXr1+ncePGzJw5k7CwMEMSqWfPngwaNAiAMWPG8NlnnzFs2DC2bNnC77//TmxsLD179iQ1NRWAe+k55+n00CBoAHqdllN/rcx1vaOhi6lapxXnL1xnx44dAMTHx9O2bVvUajW//vorvXr1YuPGjSxYsAAzMzP69+/P9evXqVu3LjNnzgRg5syZMkVNCCGEEEKIJ0hLy2LJgqOcOXkTADd3B7y8nYwclShIMlVNCPFCvf3229y+fZtp06bx7rvvAuDk5ES7du147733aNSoEQC3bt1i8uTJvPfee4ZzLS0t6dGjB2fOnKFx48bcSXwwbpmylahcoyUn9iylWYdhAMRHX+fK+QMMGDmXE5GZODo6AjBgwAA8PT1ZtmwZH330EePHjzeM4+npSb169Thw4AD9+vUzTEvz8/OTKWpCCCGEEEI8xtnTUXw8YhUpKZmGbXdvJ3PuzC1q1nY1YmSiIEniSAjxwn3++ed88MEHbNmyhZ07d7J7924WLlzIokWL+O6773j//fdZuHAhALGxsURGRhIREcG6desAyMrKQq/Xk5CSe9wGLw1g8Y9vkhR/G7syFTixdwlmFlbUadITBztLnFSXgAcNs7/55hsAkpKSiIyM5MKFC+zcudNwDSGEEEIIIcTTSUvL4uMRq0hLy/1zdHa2lo9HrGLFxmEyVa2EkqlqQogC4eDgQL9+/Zg1axaXLl3ixIkT+Pn58fHHHxMXF8exY8do2LAhzs7OtGrVipkzZ6JU5rwl6fV6srV5x/Rv1gsTU3NO7svpUXQsdDG1m3THzEJNllaR5/hLly7RunVrHBwcaNq0KVOnTjUkjP7dg0kIIYQQQgjxaLt3RJCSkolOl/vnaL0eUlIyCd0RYaTIREGTxJHI49VXX0WhUDB16tQXPnZoaCgKhYLQ0NACPedpeXh4MHjwYACuXr2KQqEgJCTkhV+ntIiKisLFxYXZs2fn2efv78+XX35JZmYmf//9N+3bt8fa2ppz586RkpLC0aNHGTp0qOF4U1Xe8S3UNtRs9DIn9i3nzvUwoq6cpkHQAADM/lU/qdPpCA4OJjo6msOHD5Oamsrp06cZO3bsC71nIYQQQgghSoNbUUmYmOSfQjAxUXIrKinffaL4k8SRyOXevXusXLmSmjVr8vvvv7/wqoy6dety8OBB6tatW6DnPIsKFSpw8OBBgoODC/Q6JVn58uUxMTFh5syZZGRk5NkfERGBhYUF5ubmxMXF8f7771O9enVDpdHmzZuBnKSPQqHATp33+6/hSwO4GnGIvRtnYufoQtXaL6FSgo9L7uNiY2OJiIjgtddeo0GDBpiYmOS5BoBKlU+GSgghhBBCCJGLi6sdGo0u330ajQ4XV7tCjkgUFulxJHJZvHgxWq2WH374gaCgILZt20a7du1e2Pi2trYEBATk2hZ1O52jpxIAqF/bgYoulk88pyCYm5sXynVKMpVKxS+//ELXrl2pX78+7777LtWqVSMtLY1t27bx008/8eWXX+Lr64utrS1fffUVJiYmmJqasmLFCkOlUkpKCn///Tfxt/7Oc41qddthbevMgU2/EdTtA5RKJTo91HCHC4ceHFe2bFk8PDz46aefqFixIg4ODmzdupUZM2YAGFZus7e3B2Djxo04ODhQu3btAn2NhBAFo0OHDvlut7W1ZenSpYUcjRBCCFHyBLX2YeZ3oaSkZsJDv99VKhWo1WYEtvYxXnCiQEnFkchlzpw5BAUFERgYiI+PD7/++mueY5YsWUL9+vVRq9VUqlSJjz/+mMzMB131jx8/TocOHbCzs8PZ2Zm+ffty48YNIPe0s8xMLeOm/E2bl79h8MAO9OxSmUpudjg6ezJjxg+G8f49VW3SpEmG5scPUygUTJo0yfA8KSmJkSNH4u3tjYWFBTVq1GDOnDmPvHeZqvZiBAcHc/jwYWrWrMlXX31Fu3bt6Nu3L6dOnWLp0qV8/PHH2NnZsXbtWvR6Pb169WLgwIFcv36dvXv3Ym1tze+//86KFSuwscz5OisfeqdSqlTUa9kXnU5Lg6ABKBUQWB1sLfN+T6xZswZXV1cGDx5M7969OXjwIOvWrcPX15d9+/YBUL16dfr168dPP/1E//79C+U1EkIUjFatWjF58uRcf8aNG2fssIQQQogSQa02Y+qM7pj9q6fE/e3SGLvkkoojYRAWFsbhw4dZvHgxAIMHD2bcuHFERUXh6pqztOJvv/3GW2+9xWuvvcZXX33FlStXGDVqFLGxscyePZszZ87QtGlTGjZsSEhICHq9nrFjx9K2bVvOnDmT63pTfohg3foNhB0dTwXPHlSsMhidNoO719bwwQfv07BhfZo0afJM95Kenk6zZs24e/cun332GV5eXqxZs4bXXnuNO3fu8MknnzzfiyUeq27duobvo0cJDAzk6NGjhudarZa//vqLMWPGYGVlRYcOHZg4cSJ6vZ6z1+BwJGi0Ob/c6P3Wd/R+6zssTKG5H1SukJM0Gjx4sKFnFUDt2rXz7Y0VFhZmeKxUKlm0aFGu/QXRT0sIUfDKly+Pv7+/scMQQgghSqyatV3p0r02K5acAOCVVxvw6muNJWlUwkniSBjMnj0be3t7unbtCsCgQYMYN24cs2bNYuLEieh0OiZOnEi3bt2YNWuW4byMjAxCQkLIzMzkiy++oEyZMmzbtg0LCwsA3Nzc6N27d67EUXxCFrv2x5CceBXniu3wqv6eYZ+NQw2ObOvCho07nzlxFBISwrlz59i/fz9NmzYFoF27dmRnZ/PFF1/w1ltvUaZMmWcaW7x4V69eZePGjcTFxdG4cWNatmyJmVnOfz4KhYJaHlC9kp6r0ZCQAgoFONuCmxP5Vp8JIYQQQgghCsbDfY6CWvtI0qgUkKlqAgCNRsOCBQvo2rUrGRkZJCYmYmlpSVBQELNmzUKr1XLhwgXu3r1Lt27dcp07YsQITp06hbm5Ofv27aNDhw6GpBFAgwYNuHLlCvXq1TNsi7ySgpmZkorefalaZyxaTTqpyReJvRVK1MWc6o9rN5Of+X5CQ0Nxd3c3JI3uGzBgABkZGRw6dOgRZ4rClJqaypo1a5g3bx6WlpYMGzaMNm3aGJJGD1MpFXiXV1C/soJ63goqOSskaSSEyCM7O9vYIQghhBAlWnp6luGxhaWpESMRhUUqjgQAGzZs4O7du4SEhOTb42fDhg04OTkBOU2HHyUuLu6x+++737MmOyuRS2e+Je7OflCApVVFbB1q/nPUs6/oFh8fT/ny5fNsv78tMTHxmccWz0+v13Py5El27NiBXq+nc+fO+Pv7SyJICPFcFi5cyMKFCzE3N8fV1ZWOHTvSsWNHeW8RQgghXqCM9Ae/pLG0lGqj0kASRwLIaYrt7u6eb9KoR48e/Prrr0yfPh2AmJiYXPvj4+M5fvw4jRs3xt7ePs9+yFkC/eHVqqp627B+t44LJ74kLeUa1QO+wdahOkqVGVptBndvbMS1vEWeceDB1CStVmtYSj0lJSXXMWXKlCEyMjLPubdv3wYwJMFE4YuOjmbDhg3cuHGD2rVr06ZNG6ysrIwdlhCimHv33XcpV64cFhYWJCUlsXfvXn766ScSExMLtPG9VqtDpZICbiGEEKVHasqDhZH274mkfacaMl2thJPEkeDu3bts3ryZjz76iMDAwDz7+/bty6+//oqFhQVOTk6sWbOGAQMGGPYvXLiQDz74gDt37tC8eXO2bNlCZmYm5ubmAJw9e5aOHTuyevVqw9LndjamdG5TgQMbz1KuUmfsnR40M02KPgiAqUn+FUe2trYA3LhxAw8PDwAOHDiQ65iWLVuybNkyDhw4kGu62oIFCzA1NaVhw4b/7UUSzy0rK4s9e/Zw6NAhHBwcGDRokOHrJ4QQzys4ODjX86ZNm5KSksLmzZsLNHGkUilZsvAo2VnaArvGi2KpNqVnn3pPPlAIIYR4hLOnozhx/Ibh+Yxpu5j1ywGmzuhOzdquRoxMFCT5FZlg3rx5aDQa+vXrl+/+QYMGodPpmDVrFp999hkrV67knXfeYfv27fz888+MGzeOt99+GycnJ8aPH09sbCwdO3Zk/fr1rFixgt69e1OvXj06dOiQa9wP3q6Ch1dtYqN2kHB3B+nJp4m6tICLZ/+HQqHg6NGjpKen54nn/oeDN954gx07dhASEsJbb72FjY2N4ZjBgwfj5+dHt27d+PXXX9m2bRvvvvsuc+bM4ZNPPjEksEThuHDhAj///DNHjhyhZcuWvPXWW5I0EkIUOHd3d5KTn71f3tPKztKSnV30/2iydU++GSGEEOIR0tKy+HjEKnRafb7b09KyHnGmKO6k4kgQEhJC9erVqVWrVr77GzZsiK+vL3PmzOHGjRtYWVkxbdo0Zs+ejaurKx999BFjxowBwN/fn9DQUMaOHUufPn2wsbGhY8eOTJ061VCBdJ+JSsGu7csYNuwd9h/4AQCfqlX5cs4fzJo1i7CwMEJCQnB3d891XtWqVfnzzz/58ssvCQ4Oplq1avz++++8996DldnUajV79uxhzJgxTJgwgeTkZHx9fZk9ezZDhw59kS+feIzk5GQ2b95MeHg43t7evPrqq7KanRDihUtNTc0z5VWr1XLy5EkqV65spKiEEEKIkmX3jghSHpqmdp9OpyclJZPQHRF07FIznzNFcafQ6/XP3oFYiAIUExPD/PnzMTExYeDAgTg4OBg7JPGUdDodhw8fJjQ0FDMzM9q3b4+fn580qBVCFIgFCxZw5MgRgoKCcHV1NUxRCwsLY/r06fj6+hbo9efPPUR2dtGfqqZWm9F3QINiEa+pqYqBQwKMHYYQQoiH/PHLfhb/eQSNJm8Fq4mJkldebcjrbzczQmSioEnFkSiynJ2dGTp0KPPnz2fOnDkMHDjwqVZsE8Z18+ZNwyp9DRs2JCgoCAuL/BudCyHEi1CvXj2uXbvGunXriI+Px8TEhOrVq/P999/j7e1t7PCEEEKIEsHF1S7fpBGARqPDxdWukCMShUUqjkSRl5KSwsKFCw0r41SsWNHYIYl8pKens3PnTo4fP06FChXo1KkTLi4uxg5LCCEKXHGo4AGpOBJCCPF80tKy6NHxV1JTc/cyUioVqNVmrNg4TFZXK6GkObYo8qytrRk0aBBly5blzz//5NKlS8YOSTxEr9dz5swZZs6cydmzZ+nQoQOvv/66JI2EEEIIIYQoQdRqM0aObW14fr8LhVptxtQZ3SVpVILJVDVRLFhYWDBgwACWL1/OokWL6NGjB35+fsYOq9SLi4tj48aNXLlyherVq9OuXbtcq9sJIYQQQgghSo5y5WwNj339yvNy99oEtvaRpFEJJ4kjUWyYmprSp08f1q5dy4oVK+jUqRN169Y1dlilkkajYf/+/ezfvx9bW1v69+8vKxcJIYQQQghRwiUlZRgeN2tZWVZRKyUkcSSKFZVKRbdu3bCwsGD9+vWkp6fTtGlTY4dVqly+fJmNGzeSmJhI06ZNad68OaampsYOSwghhBBCCFHAkhLTDY/t7CyNGIkoTJI4EsWOQqGgQ4cOWFpasmPHDtLT02nVqpUs9V7AUlJS2LZtG2fPnsXd3Z2+ffvi7Oxs7LCEEEIIIYQQhSQpMc3w2NZeEkelhSSORLGkUCgICgrC0tKSrVu3kp6eTnBwMEql9Ht/0XQ6HcePH2fnzp2oVCq6du1KrVq1JFEnhBBCCCFEKRMXm2p4HP73bRoGeEh/o1JAEkeiWAsICMDCwoJ169aRkZFB9+7dUalUxg6rxLh9+zYbN24kKioKf39/WrdujVqtNnZYQgghhBBCiEJ29nQUa1acMjxf9OdR1q06w9QZ3alZ29V4gYkCJ+UZotirU6cOvXv3JiIigsWLF5OVlWXskIq9zMxMtm7dyh9//EF2djZDhgyhS5cukjQSQgghhBCiFEpLy+LjEavQaHT5bk9Lk89gJZkkjkSJ4OvrS//+/blx4wbz588nPT39ySeJPPR6PWFhYcycOZPjx4/TqlUr3nzzTSpVqmTs0IQQQgghhBBGsntHBCkpmXm263R6UlIyCd0RYYSoRGGRxJEoMTw9PXn11VeJi4sjJCSEe/fuGTukYiUxMZHFixezbNkyKlSowDvvvEPTpk1l6p8QQgghhBCl3K2oJExM8k8fmJgouRWVVMgRicIkiSNRori6ujJkyBDS09OZO3cuCQkJxg6pyNNqtezfv5+ZM2dy9+5d+vTpQ9++fbG3tzd2aEIIIYQQQogiwMXVLs80tfs0Gh0urnaFHJEoTJI4EiWOs7MzQ4cORaFQMGfOHO7evWvskIqsa9eu8dtvv7Fr1y4aNGjA8OHD8fX1lRXThBBCCCGEEAZBrX2wVJvm2a5UKrC2NiewtY8RohKFRRJHokSyt7dn6NChWFtbExISwo0bN4wdUpGSlpbG2rVrCQkJwdzcnDfffJO2bdtiZiZLaQohhBBCCCFyU6vN6D+ooeG5UqkwbJ86oztqtXyOKMlMjB2AEAXFysqKQYMGsXjxYubPn0+fPn3w9vY2dlhGpdfrOX36NNu2bUOv1xMcHEy9evWkwkgIIYQQQgjxWErFg7qTZi0r06SZF4GtfSRpVApI4kiUaBYWFgwYMIDly5ezaNEievTogZ+fn7HDMoqYmBg2btzItWvXqFWrFm3atMHa2trYYQkhhBBCCCGKgZs3HvSPffW1AKr6lDNiNKIwyVQ1UeKZmprSp08fqlevzooVKzh+/LixQypU2dnZ7Ny5k19//ZWUlBReffVVunXrJkkjIYQQQgghxFN7OHFUsaKDESMRhU0qjkSpoFKp6NatGxYWFmzYsIH09HSaNWtm7LAKXGRkJJs2beLevXu0aNGCpk2bYmIi/+yFEEIIIYQQ/83NG4kAlCmjRm0l09NKE/kEKUoNhUJBhw4dsLS0ZOfOnaSnp9O6desS2d8nOTmZrVu3cv78eby8vBgwYACOjo7GDksIIYQQQghRDKWlZhEflwpAxUpSbVTaSOJIlCoKhYKgoCAsLS3ZunUr6enpdOrUCaWyZMza1Ol0HDlyhN27d2NqakqPHj2oXr16iUyOCSGEEEIIIQrHzZsPTVNzk8RRaSOJI1EqBQQEYGlpydq1a8nMzKRbt27FfgpXVFQUGzdu5Pbt29SvX59WrVphYWFh7LCEEEIIIYQQxdylyBjD45SUTNLSsmQ1tVKkZJRZCPEMateuTZ8+fYiIiGDx4sVkZWUZO6RnkpGRwaZNm5g1axZ6vZ7XX3+d4OBgSRoJIYQQQgghntvZ01F8M2W74fne3ZH0DP6Ns6ejjBiVKEySOBKlmo+PDwMGDODmzZvMnz+f9PR0Y4f01PR6PefOnWPmzJmcPn2adu3a8cYbb+Dq6mrs0IQQQgghhBAlQFpaFh+PWEVWljbf7WlpxfOX7+K/kcSRKPU8PDwYNGgQcXFxhISEcO/ePWOH9ETx8fEsWLCAlStX4ubmxvDhwwkICCgxvZqEEEIIIYQQxrd7RwQpKZl5tut0elJSMgndEWGEqERhk0+ZQgAuLi4MGTKEjIwM5syZQ3x8vLFDypdGo2HPnj38/PPPxMfH069fP3r37o2tra2xQxNCCCGEEEKUMDeuPfpzkYmJkltRSYUYjTAWSRwJ8Q9nZ2eGDh2KSqVi7ty53L1719gh5XLlyhV+/fVX9u7dS+PGjXnnnXeoWrWqscMSQgghhBBClEA6nZ5jR649cr9Go8PF1a4QIxLGIokjIR5iZ2fHkCFDsLa2JiQkhBs3bhg7JFJTU1m9ejV//vknVlZWDBs2jFatWmFqamrs0IQQQgghhBAl1M/fh3IhPDrffUqlAmtrcwJb+xRyVMIYJHEkxL9YWVkxaNAgypUrx/z587l48aJR4tDr9Rw/fpyffvqJyMhIunTpwuDBgylbtqxR4hFCCCGEEEKUDssXH2fZouMAKJVgYZnzS2sTk5wUglptxtQZ3VGrzYwWoyg8JsYOQIiiyMLCgv79+7NixQoWL15M9+7dqV69eqFd/86dO2zcuJGbN29Sp04d2rRpg1qtLrTrCyGEEEIIIUqnPbsu8NN3uw3PPxzTllbtfAndEcGtqCRcXO0IbO0jSaNSRBJHQjyCqakpvXv3Zu3ataxYsYKMjAzq1atXoNfMysoiNDSUQ4cO4eTkxODBg3F3dy/QawohhBBCCCEEwNnTUXwxYRN6fc7zgUMD6NytFgAdu9Q0YmTCmCRxJMRjqFQqunXrhqWlJRs2bCA9PZ1mzZoVyLXCw8PZvHkzaWlpvPTSSzRu3BiVSlUg1xJCCCGEEEKIh924Fs8nH64hK1MDQLuOfrz+VlMjRyWKAkkcCfEECoWC9u3bY2lpyc6dO0lPT6d169YoFArDMYnHznLlx3kk7D+O5l4qSjNTLNwq4D6sHy59glFZWjxy/MTERLZs2UJERARVqlShQ4cOODg4FMatCSGEEEIIIQQJ8amMen8lSUnpANStX4nR49rl+swjSi9JHAnxFBQKBYGBgVhYWLB161bS09Pp1KkT8bsP8ffIyaReuAKAXqMxnJN5N5Zzf0fy94gvcH+7Pz6fvY/S7ME8YK1Wy6FDh9izZw8WFhb06tWLatWqyZuzEEIIIYQQotBkZGQzZuRqbkUlAeDp7cSX017G1FRmP4gcsqqaKLUCAwNRKBQ0adLkkcf07dsXhULB4MGDAQgICKBr166cOnWKNe+O5UinN0g5H4leo8mVNLpPl56BNjWddTN+QWVuzs5NmwH49ttvMTExYcWKFdStW5fhw4fj5+f3yKRRSEgICoWCq1evPvd9CyGEEEIIIQSAVqvj83EbCfv7DgDOZa3534zuWFubGzkyUZRIxZEo1ZRKJYcOHeLGjRu4ubnl2peWlsaGDRvynFO7dm00+05w66v/odfpnuo6uqxsAM5/+g1pmZncuXOHMWPGMGzYMDw8PJ54fnBwMAcPHqRChQpPdT0hhBBCCCGEeBy9Xs8P3+xi/56LAKitzPjfjB6UK29r5MhEUSMVR6JUq1u3LhYWFixfvjzPvnXr1mFpaYmrq2uu7ZrUNGI+nYHyKZNGD7v3dyS3Fq6lV69efPXVV0+VNAJwdnYmICAAc3PJ/AshhBBCCCGe35IFx1i9/BQAKpWSL6Z2wbuKs3GDEkWSJI5EqWZlZUVwcDDLli3Ls2/p0qX06tULE5MHhXk6nY5xr77O0HvhdNVE8qbmCut1CXnO3axL5E3NFbprIhmjuUEMORVHCq2OKn/f5Ny5c6hUqlxTz7Zv306LFi2wtramQoUKDBs2jISEnLFlqpoQQgghhBDieaSlZbFx3Vn++GU/06ds55cf9hj2jf60LQ0aeRgvOFGkyVQ1Uer16dOHXr16cf36dSpVqgRAcnIymzdvZvv27WzatMlw7FtvvcXcVUvopXCgmtKSc/p0/tDFkIKOfkpHANbrEvhNF0NnhT0NFFac1qfxoy7aMEbGtVukXbqeK4bNmzfTqVMnunTpwtKlS0lISGDUqFFcvHiRnTt3FsKrIIQQQgghhCipzp6O4uMRq0hJyUSlUqDV6g37hr7ZhA6daxgxOlHUSeJIlHrBwcFYW1uzfPlyPvzwQwBWr16Ns7MzzZo1Mxx34cIFZs2axSClIz2VZQCoixUKLSzXxROssMcGJUt18TRVWDNMVdZwTJpWx2Z9zioFep2epBN/54phwoQJ1K5dm9WrVxu2WVpaMnbsWG7dulWg9y+EECXNyZMnmTBhAoGBgYb3dSGEEKK0SkvL4uMRq0hLywLIlTQyMVHS65V6xgpNFBMyVU2UepaWlnTu3DnXdLUlS5YYVlS7b9euXej1egLM7dHq9YY/jZTWZKHnb306N8kmES0BCutc12iusHnwRKslO+me4Wl6ejrHjx+nW7duuc7p0aMHFy5cwMXF5QXfsRBClFzXrl3jq6++QvcMfeiEEEKIkmj3jghSUjLR6fR59mk0OvbsvGCEqERxIhVHQpAzXa1r165cvXoVGxsbduzYwZdffpnrmLi4OADeSr+Y7xjxaLBHBYDtP3/f56D49z+1B2/a8fHx6PV6ypYt+5x3IYQQpVt8fDwTJkygQ4cO7N2719jhCCGEEEXC1StxKBSgz5s3wsREya2opMIPShQrkjgSAmjfvj12dnasWLECOzs7PD09qVcvd8mmjU1O1dBklRuWKPKM4YwJqeT8hjsRba599x5+rlRiYvugIsnOzg6FQkFMTEyuczIzM9m1axcNGzZ8rnsTQojSICMjg0mTJlG1alWGDh0qiSMhhBACOHX8BpvXn8s3aQQ5FUcurnaFG5QodmSqmhCAubk5L7/8MitXrmTZsmX069cPnU7HrVu3yMzM5NKlS1y8mFNpFG9lQhWFheFPsl7LfF0s99DiginOmLBffy/X+Ed0KYbHOgWEZ+bsv3r1KpaWltSpU4e1a9fmOmfbtm107NiRGzduFPDdCyFE8abT6fjf//6HiYkJo0aNyjXNWAghhCiNsrI0/Px9KO+/vZTkpIx8j1EqFVhbmxPY2qeQoxPFjVQcCfGP3r1707lzZ5RKJR06dGDatGlkZGSQkZGBQqGgX79+3L59m982biJeZUvlbBNuksWfuljKYYoLZigUCgYrnZimu8MP2js0U9gQQQab9A/KP83LO1PWvwbs3saaNWs4dOgQ7dq1Y+rUqfTq1YvXXnuN6Ohoxo4dS6dOnahTpw6nTp0y3gsjhBBF3O+//87Vq1f59ttvMTMzM3Y4QgghhFFdiozhiwkbuXwx1rDNu4ozt28lkZaahYmJEo1Gh1ptxtQZ3VGr5f9O8XiSOBKlmlar5cyZM1y5coXIyEjMzc2xt7fHwcEBT09PvLy8mDt3Ll5eXjRu3JjFixfz5aTP+G3yVGL12dhjQguFDQOVTqj++Q13S6UtChQs0cWxW38PD8wYrizLNN0dlGamVB31JresNAD079+f1NRUwsPD6devH3v27GHt2rU4ODjQq1cvvv76a2O+PEIIUeQdOXKEHTt2MG3aNNRqNVlZWYZ9Op2OrKwsTExMUCqlyFoIIUTJptXqWLrwGLN+2Y9Gk9NCw9RUxetvN6X3K/XJzNQQuiOCW1FJuLjaEdjaR5JG4qko9PpHzXYUouTJzMzk6tWrXLlyhcuXLxv6CpUtWxYvLy88PT1xd3fH3Nz8kWNER0ez4cOJOC8PRal9+lV7FGam2NauRuPdC1GZ532DTkhIIDw8nLCwMG7cuIFCocDd3R1fX198fX2xs5O5x0II8W/bt2/n22+/fewx48ePp0mTJgUWw/y5h8jO1j75QCNTq83oO6BBsYjX1FTFwCEBxg5DCCGKjVtRiUz+bAtnTt40bPOq7MT4z4PxruJsxMhESSCJI1GiabVabt68yeXLl7l8+TJRUVHo9Xrs7OwMiSJPT0+sra2fPBgQERHBqlWrcHBwoHmCjmtfzESfrXnieUpzM6x8PAnY/idmZeyfeHxKSgoRERGEh4dz+fJldDodLi4uhiSSs7O8+QshBEBiYiK3b9/Os/2LL76gcuXK9OvXj4oVKxoWOCgIxSERA5I4EkKIkkiv17N5/Tm+/2YX6WnZACgU0HdAA157qylmZjLJSDw/+S4SJYper+fu3btcvnyZK1eucO3aNbKzs7G0tMTT05PatWvj5eWFg4PDf2qeqtfrOXDgADt37sTX15du3bphZmZGGd/KnB/5FVkx8eiyNaDLXYGktLRAr9Hg2r8L1b8bh0pt+VTXs7a2pl69etSrV4+MjAwiIyMJDw9n37597Nq1C0dHR3x9falWrRouLi7SCFYIUWrZ29tjb2+fZ7upqSl2dnZUq1at8IMSQgghCkFiQhrTJm9jX+hFw7byFWz5ZFIH6tR1M2JkoqSRxJEo9hISEgyJoitXrpCWloaJiQnu7u60bNkSLy8vypcv/8zJlezsbNavX8/Zs2dp0aIFgYGBhrEqdGtL+a5tiNt9iIvfzOLu3iOYaHWozM2wqFAW92H9qPhqN0wdnn2amYWFBTVr1qRmzZpkZ2dz+fJlwsPDOXHiBAcOHMDW1hYfHx+qVauGu7u79PEQQgghhBCihPtr3yWmfrmVhPg0w7YOnarzfx++hJX1o9tuCPEsJHEkip3U1FRDj6IrV66QmJiIQqHAxcWFevXq4eXlRcWKFTExef5v7+TkZJYuXUp0dDQ9e/akevXqeY5RKBQ4vdSY7GoebP39d15//XVcXV2f+9r5MTU1xcfHBx8fH3Q6HdevXycsLIzw8HCOHj2KpaUlVatWxdfXF29vb0xNTQskDiGEEEIIIUThS0vLYuZ3oaxfc8awzc7eklGftKVFUBUjRiZKMkkciSIvKyuLa9euGZJFd+/eBcDJyYmqVavi6emJh4cHFhYWL/S6UVFRLFmyBKVSydChQ6lQocJjj09MTATId8pEQVAqlXh4eODh4UH79u25ffu2IYl0+vRpTE1NqVy5Mr6+vlStWvWFvz4iL71eL9MGhSgi5s2bZ+wQhBBCiBfq7Okovpq4iVtRSYZtjZt5MfrTdjg6WRkxMlHSSeJIFDlarZZbt24ZKopu3LiBTqfDxsYGLy8vGjdujJeXV4E2Oj1z5gzr1q2jQoUK9OnT56maZyckJGBqaoparS6wuB7lfsWVi4sLrVq1IjY21rBC2+rVq1EqlXh6euLr64uPj0+BvnaPEhgYCEBoaGihXzskJIQhQ4Zw5coVPDw8Xvj4mZmZjB07lnr16tG/f/8XPv7jeHh4EBgYSEhIyCOPGTx4MKGhoVy9erXQ4hJCCCGEEC9GdraWkD/+YuG8I+h0OWtbWVqaMnxEIJ271ZJfXIoCJ4kjYXR6vZ6YmBhDoujq1atkZWVhbm6Op6cn7dq1w8vLC0dHxwJ/U9TpdOzatYsDBw5Qu3ZtOnXq9NRT3hITE7G3ty8Sb9xOTk40a9aMZs2akZycTHh4OOHh4WzatImNGzfi5uZmWKGtTJkyxg632Lt9+zbfffcdc+fONXYo+Ro/fjzvv/++scMQQgghhBD/0ZVLsXw5cROREdGGbdVruvDpZx2o6OZgxMhEaSKJI2EUSUlJhkTR5cuXSU1NRaVSUalSJZo1a4aXlxcVKlQo1EbPmZmZrFq1isjISNq2bUtAQMB/SgIlJibi4FD03rxtbW1p2LAhDRs2JC0tjQsXLhAeHs7u3bvZvn07ZcuWNazQVq5cuSKR+CpqLl1NYc/BWDIzdfj52NK0oSMmquLzOnl7exs7BCGEEEII8R/odHpWLDnB7zP3kpWlBUClUjJ0WBP6DWyIiYksiCMKj3y3iUKRnp7O+fPn2bhxIz/++CMzZsxg3bp1xMXFUadOHQYOHMjHH3/Mq6++SvPmzXF1dS3UpFF8fDyzZ8/m2rVr9OvXj8aNG//nBEpiYiJ2ds++elphUKvV1KlTh759+zJq1Ch69epFuXLlOHz4ML/99hs//PADW7du5fr16+h0ukKPb9asWdSvXx8rKyssLS2pU6cOy5YtM+wPCQnBwsKCAwcO0KBBAywsLPDx8WH9+vVERETQqlUr1Go1lStXZsmSJXnGP3DgAP7+/oaV6pYuXZprf0ZGBqNHj8bNzQ1zc3Nq1qxF91e+Ycj7x5m/7DqLV9+gfeua+NbqR9Nmgdja2tK+fXs8PT0BGDJkSK6pcPv27aNly5ao1WrKlCnDoEGDiImJMezX6XRMmDABT09PQ4XdJ598QnZ2tuGYlJQURo4cScWKFbGysqJ+/fqsX78+V9zZ2dmMHj2a8uXLY2VlRdu2bbl48cGyrIMHDy6QKXpCCCGEEOLFu3snmZHDl/PTd7sNSSN3zzL8GtKfgUMCJGkkCp1UHIkCkZ2dzfXr1w0VRbdv3wagTJkyeHl50apVKzw9PbG0tDRypHDlyhWWL1+OpaUlr7/+Ok5OTv95DL1eX2Qrjh7FzMwMPz8//Pz80Gq1XL16lbCwMM6dO8ehQ4ewsrLCx8cHX19fPD09X8gqdY8zc+ZM/u///o9JkyYxffp04uLimDp1Kv379ycgIIBKlSoBOd9bffv2ZeLEibi5uTF69Gj69+9PuXLlePvttxk5ciRff/01gwYNolmzZlSsWNFwjTfeeINx48ZRt25dQkJC6Nu3Lw4ODrRt2xa9Xk+3bt04cOAAn332GX5+fnw+OYTViz+iSp2xlK3YDsj5Wl8OW4HetydLly5HrbZg2LBhdO/enXHjxtG9e3cA9u7dS+vWrWnVqhXLli0jPj6e8ePHExQUZFgBb+rUqfz000988803eHl5cfjwYT755BPMzMyYNGkSOp2O9u3bc/78eT7//HOqVavG/Pnz6datGzt27DD0jVqyZAnt2rVj3rx53L59mw8++IC+ffty7NixAv2aCSGEEEKI55OWlsXuHRHcikrCxdUOvU7Pz9/vISUl03BMr371ePOdZphbyIrJwjgkcSReCJ1Ox+3btw3Tz65fv45Wq8XKygovLy8aNGiAl5dXkavIOXr0KJs3b8bT05OePXs+cyIrLS2N7OzsQltR7UVTqVR4e3vj7e1NcHAwN2/eNKzQduLECczNzalSpQq+vr5UqVIFMzOzFx7D5cuX+eijjxg/frxhm6enJ/Xq1ePAgQOGxJFOp+PTTz/l9ddfB3Kakvfr148RI0YwcuRIAMqXL0/9+vU5duxYrsTRhAkTGDNmDADt27fnwoULTJo0ibZt27Jjxw62bNnCkiVL6NOnD2npWsx/U+PsGsfVsN9xdmmFQpnzlmlm4YS779uYWVejZfOyhqbT3t7e+Pv7AzB27Fh8fHzYsGEDKpUKgICAAPz8/JgzZw7Dhw9nz5491KtXjyFDhgAYqpPu/zvZvHkzBw4cYO3atXTp0gWAl156iYsXL7Jr1y5D4sjV1ZW1a9diaprzw8TFixf56quvSE5OxtbW9gV+lYQQQgghxIty9nQUH49YRUpKJiqVEq02d8W/c1kbPpnYnnoN3Y0UoRA5JHEknolerycuLs6QKLpy5QqZmZmYmZnh4eFB69at8fLywtnZuUj2zNFqtWzevJnjx4/TqFEj2rZt+1xT4xITEwGKbeLoYQqFAjc3N9zc3GjTpg3R0dGG5torVqwwJJnur9D2olaR++abb4Cc/leRkZFcuHCBnTt3ApCVlZXr2CZNmhgely9fHshJytzn6OgIPPi63NenT59cz7t168bEiRNJSUlh586dKBQKgoOD0Wg0XLiUhE6XTZlyTYmJ2k7qvStY21UBwNLanaxsOHM+iVbNy+a5l7S0NA4dOsSoUaPQ6/VoNBoAvLy8qFatGtu3b2f48OEEBQUxZswYmjdvTrdu3ejYsSPvvvuuYZx9+/ZhampKp06dDNsUCgX79+/Pdb1GjRoZkkb3r3P//iVxJIQQQghR9KSlZfHxiFWkpeX8nPvvpFFQax8++qQNNjYWxghPiFwkcSSe2r1793I1tL537x5KpRI3NzcaN26Ml5cXLi4uhuqKoiotLY1ly5Zx48YNOnfuTN26dZ97zJKUOHqYQqGgXLlylCtXjpYtW5KQkGBIIq1btw6FQoG7u7thhbbnqSi7dOkSw4YNY9euXZiamuLr60utWrWAnETlw/JLhjxNAut+kum+smXLotfrSUpKIi4uDr1ej42NTb7nZmXEwT+JIzNzB5RKMDPNP9mYkJCATqdj6tSpTJ06Nc/++5Vto0aNwtramjlz5vDRRx/x4YcfUqNGDWbMmEGrVq2Ii4vD0dHxiUlNKyurXM/vH2+MPlVCCCGEEOLJdu+IyDUd7d8aNfaQpJEoMiRxJB4pIyODq1evGhJFsbGxAJQrV44aNWrg5eVFpUqVCmTaUkG5e/cuS5YsISsri0GDBhmmPz2vxMREzM3Ni0TPpoLk4OBA48aNady4MSkpKURERBAeHs62bdvYsmULFSpUMKzQ5uzs/NTj6nQ6goODMTMz4/Dhw/j7+2NiYsL58+dZsGDBC4s/ISEh19fozp07qFQqypQpg729PdbW1uzevRsArVbPyAmnSUnLaUhoaeWaayylQkHLJvn3w7K1tUWhUPDBBx/Qr1+/PPvvJ7mUSiXDhw9n+PDhREdHs2nTJr766it69OhBdHQ09vb2xMXFodPpciWPTp06hUajoX79+s/3ggghhBBCiEJ3IeIuC0MOP3K/iYmSW1FJhRiREI8niSNhoNFouHnzJpcvX+by5cvcunULvV6Pvb09Xl5etGzZEk9PzzzVDcVFeHg4q1evxsHBgUGDBr3Q6qCEhIQSV230JNbW1tSrV4969eqRkZFBZGQk4eHh7N+/n927d+Po6GhIIrm4uDx2rNjYWCIiIpgxYwYNGjQwbN+8eTPw4ipntmzZwtChQw1jLl++nICAACwtLWnZsiXTp09Hr9dTv359Dh8+TC1fLbv2XiHm1l6q1PnYMI5SqaBODTuq++RUPv27ys7Gxoa6desSHh6eK7mTnp5Or1696NixI35+fjRp0oQGDRrw/fffU7ZsWQYPHkxSUhIjRowgOTmZ5s2bM336dDZt2mSYrqbX63n99depWLEia9aseSGvixBCCCGEKHiXImOY8/tf7AuNfOxxGo0OF9ei1RtWlG6SOCrF9Ho9d+7cMUw/u3btGhqNBrVajaenJ/7+/nh5eRWrlcLyo9fr2bdvH7t376ZatWp07dr1hVdJJSUlFfvX6XncX96+Zs2aaDQaLl++TFhYGCdOnODAgQPY2NgQHx9PUlIS3377bZ6pV35+fnh4ePDTTz9RsWJFHBwc2Lp1KzNmzAAgNTX1hcT56aefotFoqFSpEr/88gsRERHs2LEDgI4dO9KiRQtefvllOnbsiEajwcTEhKvnF+JQtgFqKwdUSgWgoEI5C6aOr2Ho33V/it7OnTupVq0ajRo1YvLkyXTs2JH+/fvTv39/tFot06dP5/Dhw4wbNw7AkKwqV64cTZo0ISoqim+++YaWLVvi5OREcHAwjRs3ZsiQIXzxxRdUrlyZhQsXcubMGX788ccX8poIIYQQQoiCdeliDCF//MWeXbkTRvdbwT7clUGpVKBWmxHY2qcQIxTi8SRxVIro9XoSEhJyNbROT0/H1NQUd3d3goKC8PLyoly5ckWyofWzyM7OZt26dZw7d46WLVvSsmXLArm3hIQEKleu/MLHLY5MTEyoWrUqVatWRafTcf36dcLCwkhLS+P69et8+OGHec4ZNGgQa9as4f3332fw4MGYm5vj5+fHunXrGDFiBPv27eO999577thmz57NqFGjuHjxIjVq1GDz5s20bNkSyJk2NnfuXF577TVWrFhBWloaFStW5MMPP+CTT8dz9UYWmZk6uh01p5afHebmD6qMbG1tGTlyJL/99hsbNmzg7t27tG3blq1bt/LZZ5/Rs2dPzMzMqFevHjt27DA08v7iiy8wNzdnzpw5fP7559jZ2dGlSxe+/vprIKeSafPmzYwdO9bQxLt27dps3bqVxo0bP/frIYQQQgghCs6VS7GEzPqL3Tsu5Nru6GTFgMGN8PR2YtyotaSkZGJiokSj0aFWmzF1RnfU6uLTDkSUfAr9v7vOihIlJSXF0KPoypUrJCUloVAoqFixIp6ennh5eVGxYsUi39D6WSQnJ7NkyRJiYmLo2rUr1atXL5Dr6PV6Jk+eTOvWrWnUqFGBXKMk0Ov13L5929BcOyYmBlNTUypXroyvry9Vq1bFwsJ4DQBPnTrFxo0bcXR0pHfv3pQpU8ZosQghipf5cw+Rna01dhhPpFab0XdAg2IRr6mpioFDAp58oBBCFEFXr8Qxb9ZBdm0Pz1VNVMbRiv6DGtKlWy3MLXJWxE1LyyJ0RwS3opJwcbUjsLWPJI1EkSMVRyVMZmYm165dMySLoqOjAXB2dsbX1xdPT088PDwwNzc3cqRPb/DgwcybN++xx7i7u3P16lXD85s3b7J06VKUSiVDhw6lQoUKBRZfamoqMTExBAQEMHfuXAYPHlxg1/qvFAoFEydOZNKkScYOBYVCgYuLCy4uLrz00kvExsYakkirV69GqVTi6emJr68vPj4+j1zd7EXLzs5m8+bNnDx5kjp16tCxY8dcS9sLIYQQQgjxNK5fjSdk1kF2bgvLlTByKKPOSRh1r42FRe6fM9VqMzp2qVnIkQrx35ToxFFgYCB79uzJtc3Ozo66desyceJEwxSV5+Hh4UFgYCAhISHPPdazjK/VaomKijJUFN28eROdToetrS1eXl40bdoUT09P4uLi8PT0ZO7cufj4FK/5suPHj+ett94yPP/iiy84ceIEq1evNmx7OBF2+vRp1q9fj4uLC71798ba2vqFx6TT6bmTCNdiddxLNcGrfi/ge7I0RauA7+DBg1SsWNHYYeTLycmJZs2a0axZM5KTkw1JpE2bNrFx40YqVqxoaK5dUNU/8fHxLFu2jLi4OLp06YK/v3+BXEcIIYQQQpRcN64nMG/WQXZsDUOne/B5wN7Bkn4DG9K1Z20sLaWKSBRfJTpxBODv78/PP/8M5CRZYmJi+PXXX2nXrh3Hjx8vsOlLBUWv1xMdHW1IFF29epXs7GwsLCzw9PSkffv2eHl5UaZMmVy9fMzMzDh48CDe3t5GjP7ZeHt754rb2dkZc3NzQ5+Y+3Q6HTt37uSvv/6iTp06BAcHY2Ly4r/F4+7pOXJRh1YHOf8vmGJpWx6A8zf0nL2upYabskj0ifr3a1RU2dra0rBhQxo2bEhaWhoXLlwgPDyc0NBQduzYQdmyZQ1JpBfVgyssLIy1a9diZWXFa6+9Rvny5V/AnQghhBBCiNIi6mYi82YdZNvm87kSRnZ2lvR7tQHdetWRhJEoEUp84sjW1jbPh+c2bdrg7OxMSEgI06ZNK7BrJ6fqOPh3NkfCNKRn6bGxVNC4himNqpliaf70H3yzsrI4ceKEoaF1amoqJiYmVKpUiRYtWuDl5UX58uXzrFT1sPwSLSXJgQMHeOedd4iMjEShUPDSSy9RuXJlQ2IwNDSUoKAgfv31VyZPnkxGRgbz589n0aJF3Lx5k/79+zNlyhSuXbuGr68vU6ZMoWPHjobx9+7dy1dffcXhI0dITUmlTFlXXgoeSJ/Xx+d63WNjohjavwtnj+7C2dmJoUOHMmHCBEMPqfwqyEJCQhgyZAhXrlzBw8MDgGPHjjFu3DiOHj1KdnY2LVu25Ouvv85zPzt27GDq1Kns378fGxsbXn31VaZMmWJImBWlqWpPS61WU6dOHerUqUNWVhaXLl0iPDycw4cPs3fvXuzt7fH19cXX1xc3N7fHft/nR6vVsnPnTg4ePEi1atXo0qWLUXsrCSGEEEKI4uXWzUT+nHOIrZv+Rqt9kDCytbOgb/8GdO/tj9pKEkai5Phvn7hKCLVajYWFhaFqQavVMnXqVGrUqIGlpSVWVlY0adKEXbt2Gc6ZNGkSlStX5vPPP8fR0RFvb2/i4uKAnB4p//d//4eDgwMODg4MGjSIQ6du8+Wfaew4nk38PT1Hd4cw45PmtG3kgK2Nmuo16rBs2bJccZ05c4Y2bdpgbW2Ni4sLH330Effu3eP8+fNs2LCBhIQEqlevTlJSEvPnz+eNN95gyJAhzJ8/P9c4gYGBDBgwgJ49e2Jra0twcDBXr15FoVAU2JQ6Y1q7di0tW7YkLS2Nb7/9lrlz53Ljxg2aNGlCeHh4rmM/+eQTvvnmG7755hvDqlTHjh1j2rRpfP7556xZswZTU1N69uxJQkICkDP1rVWrVjg6OjJ68iI+/XYN1Wo1YckfX7Bv29Jc4y/+/TNs7Z35ZPpK+rwyhK+++ooJEyb8p/vZvXs3TZo0QavVMmfOHGbNmvXI++nfvz/Nmzdnw4YN9O/fn+nTpzN79uz/+hIWWWZmZlSrVo1u3boxatQoBgwYgLe3N+fOnSMkJIRvv/2W9evXExkZiUajeeJ4ycnJzJs3j8OHD9O2bVt69eolSSMhhBBCCPFUbt9KYuqXW+nfcw6b1p8zJI1sbC14/e1mLF3zBgOGNJKkkShxSnzFkV6vN3yg1Ov1xMXF8f3335OZmcnQoUMBGDNmDDNnzmTq1KnUqlWLmzdvGpbQvnHjBlZWVgBcu3aNVatWsWTJEmJjY3F0dARg6dKlNGzYkHnz5hEdHc3HH49hx/4Ien+wA4DTe38ndMUoAjp+gov3V2SmxnN853f079+fgIAAKlSowOHDh2nfvj2Ojo507tyZzMxMZs+ezb1792jRogWjR4/G3Nyctm3bcvDgQSZOnEidOnXYvXs3n376KZcuXeL333833PfSpUvp1asXa9aseaoP1MXV5cuXee+993BycuLAgQOULVsWgLZt21K5cmUmTpzI0qUPkjtvv/02PXv2zDVGUlISx48fN0yHs7KyomXLluzatYsePXoYEnrfzJzP8cs509PqNGrDsf0b+fvEXlq272cYq3aDVrw/MSdx49y2Hdqse3z//fd89NFHODg4PNU9jRkzBm9vb7Zs2WKoVHrU/bzxxhuMHz8egJdeeok1a9awYcMGhg0b9l9fyiJPpVIZpi0GBwdz8+ZNwsPDCQsL48SJE5iZmVG1alV8fX2pXLlyngbwly9fZtWqVSiVSgYPHoybm5uR7kQIIYQQQhQnd+8k8+ecQ2xadw6tVmfYbm1jTp9X6tOjb12srYvP4kNC/FclPnG0d+/efFdImjx5Mr6+vgDcunWLyZMn89577xn2W1paGpIG9ytTNBoN06dPp3Xr1rnGcnBwYOvWrYZVoC7csWPa+N5cC9uJe7VWJMVeoW6r/6NR+48fnONciflft2DKlCm4urqyefNmsrKymDRpEv7+/nh5eREWFkZAQAB2dnZYWFiwefNmduzYwYIFC+jfvz+QM+1OrVYzfvx4RowYgZ+fH5DzIfuPP/4wJL0eXnGspDh8+DDr16/n5s2bfPLJJ4akEYC9vT2dOnVi06ZNuc6pWTPvigXOzs65eijdbyadmpoKwMCBAxk4cCB/haVy9eIlbt24yKXwE2i1GrKzs3KN1axNb8PjmGR4+eVuzJgxg4MHD+aa+vYoqampHD16NNf0tsfdz/3vzYdjvx93SaZQKHBzc8PNzY3WrVsTHR1taK69YsUKQ5LJ19eXqlWrcvz4cUJDQ/H09KR79+6GfxdCCCGEEEI8yt07ySwIOczGtWfRaB4kjKyszOj1Sj169auHjY1Ur4uSr8QnjurWrctvv/0G5FQcJSQksHnzZj799FNSU1P58ssvWbhwIQCxsbFERkYSERHBunXrgJz+Qg/LL/HQsWNHQ9JIr9dDmXYoVaZcj9iNe7VWtOg+BYDM9CQSYy6REH2RGxGhhvPbtGnDmjVraNGiBUOGDDFsb9SoEZUqVTI8Dw0NRaVS0adPn1zXHzBgAOPHjyc0NNSQOPL09CyxH471ej3p6els2bKFatWqodfr8105rHz58iQmJubaVq5cuTzHqdXqXM/v98zR6XL+c0hPT+e9997jzz/no9FkU87FE99ajVGZmJJrnU3AwbHcv57nJLPuT3t7ksTERPR6fb6NmvO7n/xivx93aaFQKChXrhzlypWjZcuWJCQkGJJI9/8dA4ZKpZL670IIIYQQQrwY0XfvGRJG2dlaw3a1lRm9+tal9yv1sbGVhJEoPUp84sjGxob69evn2ta2bVtSUlKYOnUq//d//8f169d55513OHr0KJaWllSvXh13d3fgn0TQQ/JLPDz8IV+jhWydEgurMmSmJQKQGHOZnUve50bkHlQqUxzKVsXJtQaQkxxq1KgRycnJVKlSJc/YFSpUMDyOj4/Hyckpz0ph96//cFIhvzhLgtTUVC5dukRWVhZdunShatWqKBQK7ty5k+fY27dv4+Tk9NzXfP/991mxYgXjps7Ft34nLCxzEg+vtq2Q59iUe4m5nsfG5MR1vxpKoVCg1Wpzn5OSYnhsb29f4PdT0jk4ONC4cWMqVarE0qVLycjIwMnJiatXr/LDDz+wZcsWDh06xLhx4/j8889zrdAWGBgI5CRpIW9z8WyNjpikbO4kZJGl0aMAhg8OxtxEyb69oSiVz7/a2/3G57t37zbEI4QQQgghCl5sTAoLQg6zfvWZXAkjS7UpPfvWo88r9bC1szRihEIYR4lPHD1KnTp10Gg0hIWF0aNHD2rVqsW5c+eoVq0aSqWSTZs2sXLlyqca6+FqEhMVKNCSkRKHpY0zep2Otb/2RGViRt8Pd1O2Ym2UKhPibocTfnSJ4TwnJyfu3r2bZ+z7DbgBypQpQ2xsLBqNJlfy6Pbt24YxSrI7d+6wZMkSMjIysLa2xt/fH4D69euzdOlSxo8fb5jelZSUxIYNG2jVqtUzXy89PZ1jx46xadMmXFxccLCzwswsp9HdxbDjJCXEoNPnru45cXCroeeRqSKD5cuWoFaradSoEZCzyt+NGzdynXPgwAHDYysrqwK7n9JCr9dz9OhRtm7dSoUKFXjttdews7MjMzOTU6dOMWXKFMqXL8/MmTMpW7Ys1apVw9fXF1dX18eOG5ecTeSt9H+u8c+1gJGffoNSAccvpuBXSY2VherRgzyFunXrcvDgQUP1oBBCCCGEKFixsSksmneEdatOk5X1UMLI0pTuvf3pM6A+9vbqx4wgRMlWahNHBw8eRKVSYWFhQVxcHO+//75hqXOAzZs3AzzVtJ8dO3YYkjkKhYKMqHXodBrcqrQgPTWOhOhIWvaYSnn3eoZzrodvyzV+q1atmDZtGlFRUYYPsOfPn+fy5cs0bdoUgJYtW/K///2PpUuXGnocASxYsACAZs2aPc9LUqSFhYWxevVqHB0dqVq1KrGxsYZ9U6ZMoV27drRv35733nuPrKwspkyZQmZmJhMnTnzqa+h0OqKiogyJnK1btxITE4OHhwfHjh0jLeYCYadtuHzhDMvnTEahUJCZnruf0MFdq3B0dqF2wyD2rP+dXVvX8M477ximR3Xq1IkpU6YwefJkGjduzIYNG9i5c2euMV7U/ZRGmZmZbNiwgXPnztGwYUPatm1rSL6Zm5tz+vRpIOffTOvWrYmLi+PkyZMcOHAAGxsb4uPjUavVaLXaXD2m4pKziYxKR5/PNT0r5/RK02j1nLuaSk1PK9Tmz548srW1JSAg4JnPF0IIIYQQTyc+LpVFfx5hzcrTZGU+WFDIwsKEbr396TegAfYOkjASosQnjpKTkzl06JDheVZWFmvXrmXhwoW8+eab+Pr6Ymtry1dffYWJiQmmpqasWLHCsKT50zQavnPnDj169OC9994jMjKShT+Pxd33Jdx8AlEoFNiWcef03t+xtnfFwtKeq+E7OBX6c67xR4wYwezZs2nXrh2fffYZWq2WTz/91FDhAtChQweCgoIYNmwYt27dwt/fnz179vD1118zaNCgElmhoNfr2bt3r6F/08svv8zBgwdzHdOqVSt27NjBhAkT6Nu3L+bm5rRo0YI///wzVzIwP1qtluzsbFatWsXFixdJT08nPT2nqqR+/fp8+OGHvPvuu7z33ntMmzaVjIxMnCt40mvoJ9y4fJ4j+zbkmno29IPp/LVzBesWf0/5cmUZOHAgzs7O/PjjjzRt2pTRo0cTExPD9OnTyc7OJjg4mNmzZ9OlS5cXcj+lWXR0NMuXLyc5OZmePXvm+1rNmTOHoKAgWrVqhY+PD6dPn2blypVcv36d8PBw0tLSSE5OZvr06fj4+AA5FYX9Bwxg746NmFta0rpDD94ZOQkLy5wfIoYPCgZg5ryN/P7jFOb8/HW+8Q0aNIhJkybh6en5yHvQ6/UyVU0IIYQQooAlxKey6M+jrFlxisyHEkbm5iZ061WHfgMb4FBG+mIKcV+JTxydPHky18pTFhYWeHt789VXXzFq1ChMTU1Zu3Yto0aNolevXtjY2ODv78/evXvp0KED+/bto3Pnzo+9xptvvklaWhrdunXDzMyMAQP60+rlkeyL0KFASec3FhO6cjTbFryFysQMpwq+/DpnNd9M/pB9+/bx3nvv4ejoyP79+xkxYgSDBw/G2tqa0aNH51p6XaFQsGHDBiZMmMD3339PTEwMnp6eTJ48mZEjRxbYa2gs2dnZrFmzhvPnzxMYGEiLFi1QKBSEhITkOTYwMJC9e/c+cqzAwED0ej16vZ7o6GguXLhAZGQkVapUoXLlysTExFC/fn2qVKmCq6srX3/94MO/paWloYE6QORtHeFRelDAO/pfACjn4sHaoxqUCujd/00aV1VibprT7+bu3bvs37+fzZs3s3fvXoYMGcJPP/2UKyn4715aT3s//3a/N8+jxi2pzpw5w4YNG7C3t+eNN97Id9pmWFgYhw8fZvHixQAMHjyYcePGcfv2bTw8PPDw8KBixYpkZWXRoEEDwsPDAfjpp58IaN6GL7+bx7UrF/jt+y9IToxn0rRZea7RpeerBDRvTRUXCyzMcqqOvv76azZu3MjgwYOpUKFCnsTnmTNneOutt3jttdde9MsihBBCCCEekpiYxuL5R1m97CQZGQ8SRmbmJnTtUZt+Axvi6CQJIyH+TaEvLZ8sC1F6ejq//vor5rZeqF3acvaKFp0up/9RfR8TgvzNKOugNHaYRVpSUhJLliwhLi6Orl27Plc1VXZ2NlevXjUki5KSkjA1NcXLy4sqVapQpUoVbG1t/9OY99L1XL6r42Y8aP+ZzWhvBZXLKSlvT75NkuPi4ti/fz9nzpzBwsKCgIAAGjRogIWFrMjwrDQaDVu2bOH48ePUqlWL4ODgXAm5h3300UfMnj2b27dvY2Fhwe3bt3Fzc2P8+PGGKYD5Ncf28KrKgnWHDavtLZ3/Cz98PZaF64/g4VU1V8URgAJwcTSjUlkLli5dSt++ffn55595++2388QUExNDgwYNcHNzY+fOnZiZmUnFkRDF0Py5h3I1US2q1Goz+g5oUCziNTVVMXCITNsVQrwYSYnpLFlwlFXLTpKenm3Ybmamokv32rwyqCFOTtZGjFCIoq3EVxwVNr1ez4YNG8jKymJoz0Ds7CzR6fVoNGBqQq4VnET+bty4wdKlSzExMWHo0KH5Lk3/JElJSYZE0ZUrV9BoNNjb2+Pj40OVKlXw8PDIszrdf2FjqaC2h4raHqDV6VEqnvy1dXR05OWXX6Zly5YcOHCAPXv2cODAAcPKemq1zJ/+LxISEli+fDnR0dF06tSJunXrPvJroNFoWLBgAV27diUjI4OMjAwsLS0JCgpi1qxZjBs3LldPo4e16djNkDQCCGzdme+njOH44T14eFXNc7weSEpJ49DlUwwZMoRhw4blmzTKysqie/fu6HQ6Vq5c+ciElxBCCCGEeDbJSeksXXiMFUtPkJ72IGFkaqqiS/da9B/UCCdnSRgJ8SSSOHrBTp48yfnz5+nVqxd2dnYAKBUKzEyNHFgxcerUKTZs2ICrqyu9e/c2NJV+Ep1Ox82bNw3JoujoaJRKJZUqVSIoKIgqVarg5ORUIIk71X9cgt3e3p7g4GBatGjBX3/9xcGDBzl48CANGjSgcePGWFvLf15PEhERwZo1a7CwsOC1116jQoUKjz1+w4YN3L17l5CQkHynOm7YsIGXX34533OdnHMnLh0cnQG4l5T4yOv9tX8vo98bRLly5ahRowaLFi3C1tYWOzs7w5/x48dz4sQJ9u/fT9myZR9/w0IIIYQQ4pHS0rLYvSOCW1FJuLraUb+RO+tWnWHF0hOkpWYZjjM1VRH8ck0GDG5E2XI2RoxYiOJFEkcvUGxsLFu2bMHf37/YN6oODAxkz549ubYpFApsbGzw9fXlgw8+oG/fvgB4eHgQGBiY7wfy+wYPHkxoaCiXr1xBmU/yRqfTsX37dg4dOoS/vz/BwcF88cUXfPbZZ4Y+PcnJyQwcOJDt27djbm7Onj17qF27NsOHD8fNzY2MjAzUajVVqlShRYsWeHt7F+lpYDY2NrRr145mzZpx6NAhjh49ypEjR/D396dp06aGxKN4QKfTsWvXLg4cOICPjw8vv/wylpaWTzxvzpw5uLu75/s92qNHD3799ddHJo5i7t5Ap9OiVOZUJMXF3AUeJJD+LTsrg19mfImVlRU//vgjSqWS5ORkoqKiOH/+POnp6Rw6dIgtW7bQs2dPdu/ezfHjxw0JpYsXLwI57yepqamo1WqpVBRCCCGEeISzp6P4eMQqUlIyUamUaLV5V8U2MVEaEkblyv+3FhVCCEkcvTBarZZVq1Zha2tL+/btjR3OC+Hv78/PP/9seK7Varlx4wbfffcd/fr1w97envbt27N69epH9gjS6fREJcDtBD1pmbDqiB5TlR53J6hcXoG1hYKMjAxWrlzJpUuXaN++PQ0bNsz3g/K8efNYt24dH3zwgWH1u9deew1PT0/q1q1raGxd3D5kW1lZ0apVK5o2bcqRI0c4dOgQx48fp3bt2jRr1owyZcoYO8QiISUlhRUrVnD9+nVat25NkyZNnuprfffuXTZv3sxHH32Ub8+gvn378uuvv3LlyhUgZ7rpyZMnOXnyJAC7t61nyPAJhuN3bF6JQqGgboPm+V5v6sQRREaEceDAAerUqZNn/6ZNm/jiiy94++23ef3110lKSiI5OZmkpCTu3LnDqVOngJwqqL///hsTE5Nc1Ur/rlyytbWVaW5CCCGEKJXS0rL4eMQq0tJyqor+nTRSKhUEv1yTgUMaUb6C/FJWiGcliaMXZNeuXdy9e5fXX3+9xHyIs7W1JSAgb2PKjh07UrZsWebMmUP79u3x9/fP9/zMbD17w/XcS4eHVrkkWwuXo+FStJ6qTins2TSP1NRU+vfvj7e3d55xLly4wIULF9i4Maf5sKOjI5UrVzY0traxKRllphYWFrRo0YKAgACOHTvGX3/9xalTp6hRowbNmzfH2Tn/CpfS4OrVq6xcuRLIWdbe3d39qc+dN28eGo2Gfv365bt/0KBB/Pzzz0yfPp3Y2FjS0tJYt26d4XvxVtRNvvn8fYLa9eDvs8eZ/dMUOvUYiJtH3u/VJfN+YtPaxUyePBmtVsuhQ4cM+8zNzbG1tWXAgAE0aNCAN954g6ysLCwtLbG0tKRcuXL4+flRo0YN5syZQ6dOnahevbohqZSUlERsbCyXLl3i3r17ua5raWmZb2Lp/mMbG5tcfZqEEEIIIUqC3TsiSEnJfOT+N4c355VXGxZiREKUTJI4egEuX77MX3/9RZs2bZ7Ya6UksLCwyJUc+/dUtYSEBD74YCSr1qxDp9PR+uU30OtzZ/91ejiwfSmjF04n6sp57OxsuXLlClOmTEGhUHDhwgXOnDkDwOLFi1mwYIFhCs+4ceMYNGgQjRo1wtbWlrlz5zJ48OBCuffCYGZmRpMmTWjQoAEnT57kwIEDnD17lmrVqtG8efNS8T12n16v58CBA+zatQt3d3d69Ojxn3tAhYSEUL16dWrVqpVn371798jKyqJcuXLMmzcPZ2dn7OzsGDFiBHZ2dgwcOJBx48Zx/PgJRr3TBytrW/q/9j5D3xmTZyyFAg7u2QLAJ598wieffJJrv7u7O5MmTSIhIYFDhw5Rt27dPGPs3r3bUEXl5OREtWrV8r0nrVbLvXv3DAml+3+Sk5O5du0aSUlJZGY++CFKoVBga2v72MolCwuLYletJ4QQQojS7VZUEiYmSjSa/KenPdzfSAjx7CRx9JzS0tJYvXo1Xl5eNG7c2NjhvFB6vR6N5kGpkEaj4ebNm3z++efcu3ePgQMH5jlHp9PRvn17Ll2+woB3v8bWvixrF0wn8u/DlHFyMRy3cs5XLPl9Au16vM2rw79AlXiCadOmsWHDBgYPHoy5ubmht9Hw4cPp2bMn3333HbNnz+bgwYOlovrG1NSUhg0bUq9ePU6fPs3+/fv5/fffqVKlCs2bN8fNzc3YIRao9PR01qxZw4ULF2jWrBlBQUHPVDVz/vz5XM+1Wi2RkZGcPHmSyMhIVCoVP//8M/7+/nh4eORKntz/HoSc1fOuR2cQnZizIsf9PT//uRGVUoGroxmH/9rzxOTL0yQ5H75uflQqFfb29tjb2z/ymIyMjFzVSg9Pibt58ybJycnodA9+yDI1NX1kUun+tudZifBFCA8PZ+bMmWzdupWbN29iamqKn58fAwYM4M0338TUNGcVAoVCwcSJE5k0aVKBx3T16lU8PT1LXAJbCCGEKA5cXO3yTRoBaDQ6XFxlepoQL4Ikjp6DXq9n3bp1aLVaunbtWuJ+W793717DB7H7FAoFNWvWZPny5XTu3DnPOZs3b+bIkSN8/uM6qjUIBqBG/Zd4p5uX4ZiU5ARWhnxFqy6v8fqon9BpNdw4lUD//v355ZdfUCqVjB49milTprBmzRqcnJxwcnKiYsWKAIbpc1evXi2gOy9aVCoVdevWpU6dOpw7d459+/YxZ84cPD09ad68eZ5kR0lw69Ytli9fTkZGBv369aNq1bzL3v9XMTExnDx5kjNnzpCamoqLiwsdO3akRo0aT9VEXaVU4FnekkplLYi/pyErW4dCAZbmSuytTIrc18DCwgILC4tHrtim1+tJSUnJlVC6/+fu3btcuHCB1NTUXOdYWVk9dkqctbV1gb0OS5cuZciQIfj6+vLhhx/i4+NDWloamzZtYuTIkWzevJn169ejUCg4ePCg4f2ioFWoUIGDBw/mO81WCCGEEAUrqLUP3369g+xsba7tSqUCtdqMwNY+RopMiJJFEkfP4fjx40RERNC3b98S02fnYXXr1uW3334D4ObNm4wfP57s7GyWLFnyyCk0+/btw9TUFJ96HQzbLCytqNukA+dP7AUg8twhsrMyad7uFQCUShUBLTsz8u1X2LRpE+Hh4Zibmxfw3RU/SqWSWrVqUbNmTcLCwti3bx9//vknbm5uNG/enMqVKxe55MV/pdfrOX78OFu2bKFcuXIMGjTosVU1T5KZmcm5c+c4deoUN2/exNLSklq1auHv70+5cuWeaUyVUoGznemTDyzi7q+S+Lj3Lo1GkyepdD/RdOnSJZKSksjOzjYcr1Qq823e/fDzZ/m3HR4ezpAhQ2jTpg0rV67MVfnUsWNHgoKC6NmzJ0uWLKFfv3759mYrKObm5oV6PSGEEEI8kJ2lRfFQQfr9VdXUajOmzuiOWl0yes8KYWySOHpGMTExbN26lfr16+PjUzIz2TY2NtSvXx+A+vXr06RJE2rXrk3btm05ceJEvtPF4uPjcXR0zDOlyN7xQV+elOT4f7aVz9mgUGBhmVOpUL58eRITEwvmhkoIhUKBn58f1apVIzIykn379rFo0SIqVKhA8+bN8fX1LZYJpKysLDZu3MiZM2eoX78+7dq1e6apUXq9nuvXr3Py5En+/vtvtFotlStXplevXvj4+KBSqQog+pLJxMSEMmXKPHJlP71eT0ZGRr6JpYSEBK5evcq9e/dyTb0zNzd/7JQ4GxubPF+j//3vfyiVSv744498vyd69OjBq6++anjfeXiqWmhoKEFBQWzZso0xn3zJ2TNHUJlYUrlaJz7/YjKd27pgZqokIyODadOmsXDhQq5evYqbmxuvv/46o0aNMowbGBhIxYoVycjIYNu2bTRv3pyZM2fKVDUhhBDCSJYvPk5WZk61kX89N2rWdsXF1Y7A1j6SNBLiBZLE0TPQaDSsXLkSBwcH2rZta+xwCk3ZsmWZOXMmPXr04P3332fRokV5jnFyciI2NhadVovyoQ9/KUlxhsfWtjkfQhPj7uDq4YtSAZZmOYmO27dv4+XlhXgyhUJB1apVqVKlClevXmXv3r0sW7YMZ2dnmjdvTvXq1YvNSlqxsbEsW7aMxMREunfvTs2aNf/zGMnJyZw+fZpTp04RHx+Pg4MDLVq0oHbt2tja2hZA1EKhUBhWhStfvny+x+h0OkMj74erl5KTk4mKiuL8+fOkp6fnOsfGxiZXcmnlypU0atQIjUZDamoqarU6T3J03rx5j421e49+lPfsjl9AT+JvH+D8yfmMm1iBnfv78+2k6nTu3JmDBw8yceJE6tSpw+7du/n000+5dOkSv//+u2GcpUuX0qtXL9asWZOrB5wwrpiYGBYvXkxYWBh3795FpVLh4eFBjx49pCJMCCFKqHv3Mli59ASQ0wj7k0kdKFdefuYToiBI4ugZ7Nixg9jYWN544408PYBKuu7du9O+fXsWL17Mm2++SWBgYK79rVq1YsqUKVw6sYaqDXqgB7Kzszh9ZDsKcj7oVa7eCFMzc/ZtXUT1eoHo9eDmCPv37+f69et8/PHHhX9jxZhCocDT0xNPT0+uX7/Ovn37WLVqFaGhoTRt2pTatWsX6Sqbc+fOsW7dOuzs7HjjjTf+U+NzrVZLREQEJ0+e5NKlS5iYmODn50eXLl2oVKlSsay8KmmUSqUhCfQoWVlZj2zkfenSJZKTk8nIyOCPP/4AciqhbG1tsba2NiSXbG1tsbe3f2R1VLlKnalYZTAADs71iLu9j+ioA0Re7sr4zxexY8cOFixYQP/+/QFo06YNarWa8ePHM2LECPz8/ICcnmN//PEHVlZWQOnptVbURUZGcuTIETp06IC3tzdZWVls2rSJzz77jMmTJ+Pv72/sEIUQQrxgK5ecIPWfVdM6dKohSSMhCpAkjv6jyMhIDh8+TLt27Z65R0pxN2PGDGrWrMl7773HyZMnc+1r1aoV7dq1Y+r4N+n9ZjRO5d3ZtOxHkhNisHPIadJrY1eGrgM/ZvnszzExNaNVuy4sOnWN8ePH4+fnJ9M9nkOlSpXo378/t27dYv/+/axfv549e/bQtGlT/P39i1SiU6PRsG3bNo4ePUqNGjXo3LkzZmZPV1J89+5dTp48ydmzZ0lLS6NixYoEBwdTo0YN6Y9VDJmZmRma4P9bXFwcY8aMoUGDBrzxxhuGxFJYWBhDhw7NdaydnR0ffPABAAcOHOC3334jKioKACv76rmvaemMVpNOVraeNeu2o1Kp6NOnT65jBgwYwPjx4wkNDTUkjjw9PQ1JI1F0VK9enTlz5uR6D2nUqBF9+vThr7/+ksSREEKUMKkpmSxbfBwAlUpB/0ENjRyRECWbJI7+g5SUFNauXUvlypVp1KiRscMxGh8fH95//32mT5/OTz/9lGf/qlWr+Pjjj1k4axLpGRk0adWb1l3f4OietYZjer8xEXvHcmxZMZPd62fj6OhIr169+PLLL1Gr1YV5OyWSi4sLvXv3Jjo6mv3797Nlyxb27dtH48aNqV+//lMnaApKYmIiK1as4M6dO3Ts2JH69es/sTooIyODc+fOcfLkSW7duoWVlRW1a9fG39//P1UpieLF0dERa2troqKicHFxwcXFBQB/f/9cUxonTZrEmTNnGDRoEJMmTaJixYq4urpy48YNAJSq3CvnKRRKIKf3Usq9RJycnPL0T7o//e7hvmul9RcGRV1+FW0KhQK9Xo+Dg4MRIhJCCFGQVi8/Rcq9TADadvDDpaK9cQMSooSTxNFT0uv1rF2bk/h4+eWXS/wUmNDQ0MfunzZtGtOmTQNgxIgRufap1Wp++OEHWrRoQWyGPeV8XkKBgiEffAeAQgHooc/At/ju87exMs//tZw0aRKTJk165HMPD49cTXdFXmXLlqV79+4EBgayf/9+du7cyf79+wkICKBhw4ZPtQz9ixYZGcnq1asxMzNjyJAhuLq6PvJYvV7P1atXOXnyJGFhYWi1WqpUqUKfPn2oUqVKkZ6CJ16cl19+mXXr1nHv3j3DKnDm5uaG5v2Q019NqVTi4eEBgLu7O506dcLa2pqvvvrqseNbqO24cTMWjUaTK3l0+/Ztw9ii+MjIyODOnTvMnz8fZ2dnOnfubOyQhBBCvEBpaVksXXgMAKVSwYAh0stOiIImiaOndOTIES5evMgrr7yCtbW1scMp8g4dOsT58+fp3bs3VaoquREHMcl6NDqwMgP3sgrs1SU7+VaUlClThi5dutCiRQv++usv9u7dy19//UXDhg0JCAgolCovnU5HaGgo+/bto0qVKnTt2vWR101KSuLUqVOcOnWKxMREHB0dCQwMpFatWo9dPl6UTGPHjmXVqlUMHTqUhQsX5qmYS09P5/Lly48dw0SV//uNiYmCtm2C+D1sAUuXLjX0OAJYsGABAM2aNXvOOxCFRavV0q1bNwC8vLz47LPP5D2jmFKqFGi1OlSq4rHIA1Ds4hWiuFq78hRJSTkLa7Rq64tbJaksFaKgSeLoKdy9e5ft27fTqFEjqlSpYuxwirxr166xfft2mjRpQrVq1QDwLAueZSVRZGz29vZ07NiR5s2bc/DgQQ4dOsShQ4eoX78+jRs3LrAPWKmpqaxcuZKrV6/y0ksv0axZszxVexqNhvDwcE6dOsWlS5cwNTWlevXq+Pv74+bmVuKr/MSjVa9enUWLFjFo0CDq1KnDm2++Sc2aNdFoNPz111/Mnj2bO3fuMHr06EeOYWNjgspEgUbzoEpRAdjbmjJlUn8izy5g2LBh3Lp1C39/f/bs2cPXX3/NoEGDDP2NRNGnUqn49ttvSU5OJjQ0lOHDhzNu3Lhc1WmieFAplahUSpYsPEp2ltbY4TyRqZmKvv0bGDsMIUq8jIxslizIqTZSKGDgUKk2EqIwSOLoCbKzs1m5ciVOTk60bt3a2OEUeffu3WP58uW4u7vTqlUrY4dTKoSHhzNz5ky2bt3KzZs3MTU1xc/PjwEDBvDmm2/m2xDbxsaGtm3b0qxZMw4dOsSRI0c4cuQI/v7+NG3aFHt7+8deU6/JJiv+Nllxt9Frs1EolNRo14uWLVsyb8HCXEme69evs2LFCnQ6HQMHDsTT0zPXWHfu3DE0uk5PT6dSpUp06dKF6tWrP3UvptDQUIKCgti9e3eelf5EydC1a1fOnDnDL7/8wqxZs7h27Ro6nQ5vb2/69OnDW2+99djE/kfDvAm77szWPTFkZ+tRKMDBzpQ/pteijL0ZGzZsYMKECXz//ffExMTg6enJ5MmTGTlyZCHepXgR7v/ColGjRgwfPpxffvmF2bNnGzkq8ayys7RkZxf9xJEQonCsW3WGhPg0AAJb+eDh6WjkiIQoHSRx9ATbtm0jISGBN954I0/jVJGbVqtl+fLlKJVKevTogVIp5doFbenSpQwZMgRfX18+/PBDfHx8SEtLY9OmTYwcOZLNmzezfv36R1brqNVqXnrpJZo0acKRI0c4dOgQJ06coFatWjRr1gxHx9z/Gev1ejJuXSQr+jqgAL0uZzug12nR3Isj5fxB1F61UFpYcfDgQXbs2IGbmxs9e/Y0VDSlp6dz9uxZTp48yZ07d7C2tqZu3brUqVPnmfrJ1K1bl4MHD0plSAnn7u7O119/zddff/3Y4x7ufRYYGGh43gl4/w0vUlI1WFsdw8z0wXuUWq1m+vTpTJ8+/ZHj5tf7TXqtFW0VKlTg8OHDxg5DCCHEC5CZqWHx/COG56++JtVGQhQWyYQ8RkREBMeOHaNjx46ULVvW2OEUedu2bSMqKorBgwdLH6hCEB4ezpAhQ2jTpg0rV67Mldjs2LEjQUFB9OzZkyVLltCvX7/HjmVhYUGLFi0ICAjg2LFjHDx4kNOnT1O9enWaN29O2bJl0ev1pF05iyYpFvR67q9IlYtejy4zjZTwI/x1LZ4jp/+mSZMmtGrVCoVCwaVLlzh16hRhYWHo9XqqVq1KUFAQlStXfq5Eo62tLQEB8sODeDIzUyVl7I27qqB48WJjY/MkndPT0wkPDzc0TBdCCFG8bVx7lrjYVABaBFXBu7KsqitEYZGSkEe4d+8ea9euxcfHR3ojPIWzZ89y5MgR2rVrh5ubm7HDKRX+97//oVQq+eOPP/KthuvRowevvvqqISGjUChyrUoHOSvVPVyNZGZmxvnz51m0aBFTpkyhX79+1KpVixEjRhAbeeafpJGOc5GX6frOx7g260yN4P4s27Qz17g6nRZ3Sy0XIsIZOnQo5ubmWFtb06lTJ/7++29eeuklPvjgA/r06cO6deuoXLkylpaWNG3a1FAhdb+6Y9KkSVSuXJmNGzdSq1YtzM3NqVq1KvPmzTNcLzQ0NNc5QojS5eeff+bDDz9k3bp1HDlyhC1btvDRRx+RkJDAW2+9ZezwhBBCPKesLA0L50m1kRDGIhVH+dDr9axZswaVSkWXLl2kKe8TREdHs379emrWrEmDBtIYsrCsWbOGVq1aPbYa7uHkytOYOXMm//d//8ekSZP45ptviImJ4bPPPuPHH3/k1aC6eLu5cCs6lo6vj8Szogu/fzmWe6mpTPpxFtFxCYZxFMDADydxNz6RgCZNcXBwQK/Xs2TJEvbv38+ECRMA+Pzzz/nss88YNWoUL730Elu2bKFPnz554rp9+zbvvvsu48aNw93dnWnTpjF48GAaNWqEr6/vf7pHIUTJ065dO7Zu3cratWuJi4vD2toaT09P3n77bapXr27s8IQQQjynLRv+Jib6HgBNmntT1aeckSMSonSRxFE+Dh48yOXLlxk4cGChLFNenGVkZLBs2TIcHBzo1KmTJNkKSUJCAgkJCVStWjXPPo1Gk+u5QqFApVI91biXL1/mo48+Yvz48YZt3t7e1KtXjxN/h+Pt5sIvi1ah0WhZ8eNXOJfJWf60cqWKtB78f4Zz7sTGYWVpwU8TPsQzoDXV/PwwMzNDrVbz22+/ATkrrX399dcMHz7c0LOmbdu2pKWlGY65Ly0tjVmzZhkarletWhV3d3c2btwoiSMhBI0aNaJRo0bGDkMIIUQB0Gi0LAh50K9ukFQbCVHoJHH0L7dv32bnzp00btwYLy8vY4dTpOn1etauXUtKSgpvvPHGU6+AJZ6fTqfLd/vFixfzrCzl7u7O1atXn2rcb775BoCkpCQiIyO5cOECO3fmTEPLzs5JSB08eZYGtaoZkkYA9WtWo2L5B5VPFZydWP/bNAASrNXs37+f8+fPc+DAAbKysnLGOXiQ9PR0evXqlSuGfv365UkcATRu3NjwuGLFikBO8kkIIYQQQpRcWzed587tZAAaNfagWvUKRo5IiNJHEkcPycrKYuXKlZQrV06Wkn8Kf/31F+Hh4fTp0yfP6luiYDk6OmJtbZ0nIeTm5sbRo0cNzz/77DPOnj371ONeunSJYcOGsWvXLkxNTfH19aVWrVrAg5WqEpLv4e5aPs+55Z3K5Hq+bNNOPp85m5t3YihTpgx16tTJVcEXExMDkGeqXfnyeccGcp17v2/ToxJoQgghhBCi+NNodCyY+1C10etNjBiNEKWXNMd+yNatW0lOTqZ79+5PPbWntLpy5Qo7d+6kWbNmMlXISF5++WW2bt3KvXv3DNvMzc2pX7++4c+/E3parTbX85SUFMNjnU5HcHAw0dHRHD58mNTUVE6fPs3YsWNzneNob0d0XGKeeOKTkg2PD548x1sT/0enoGZcu3iBuLg4QyXffferhqKjo3ON8+/nQgghhBCidNq5LYyom4kA1G/oTo1aLsYNSIhSShJH/zh//jwnTpygffv2eZb0FbklJyezYsUKPD09CQoKMnY4pdbYsWPRaDQMHTrUMP3rYenp6Vy+fNnw3NbWlhs3buQ65sCBA4bHsbGxRERE8Nprr9GgQQPDSm2bN28GQJdTcESLBv4cOfM3t6JjDeeGX77G1ag7hudHzvyNTqdj7DtDcfPyBnKSVtu3b88ZS6ejTp062NnZsWrVqlwxrVy58j+/FkIIIYQQomTRanXMn/Og2khWUhPCeGSqGjmJkPXr11OtWjX8/f2NHU6RptVqWb58OSYmJnTv3t0wZUgUvurVq7No0SIGDRpEnTp1ePPNN6lZsyYajYa//vqL2bNnc+fOHUaPHg1Ap06dWLJkCY0aNTIsZ3/x4kXDeGXLlsXDw4OffvqJihUr4uDgwNatW5kxYwYAqWlpALzzSncWrN1Mj3fHMmbYq+i0Or74eQ5mpg/eTupWz6lCG/PdLN7ItiIhIYGffvqJ06dP54yVmoqNjQ2jR49mwoQJqNVqAgMD2bNnD7/88guAfG8JIYQQQpRioTsvcP1aPAB16lakTl03I0ckROlV6j+Z6XQ6Vq9ejZmZGZ07d5ZVwZ5g69at3L59m969e2NlZWXscEq9rl27cubMGbp06cKsWbPo2rUr3bt3Z/Xq1fTp04ewsDAmT54MwLfffkuXLl0YPXo0PXv2xMrKyrCa2X1r1qzB1dWVwYMH07t3b/766y++/vprnJ2d2XbwODo9lLG3ZcvsGbi7lmf4pGmMmf4zr/XqQo0qD5rJN69fm+lj3uPwyTN06NCBDz74gEqVKhmqi/bt2wfkVE1NmjSJP//8k06dOrF3716mTp0KgLW1dWG8hEIIIYQQoojR6fT8Ofug4bn0NhLCuBT6+x1vS6l9+/axa9cuBg0ahIeHh7HDKdLOnDnD6tWrCQ4Opn79+sYORxSwyMhItm7dSnx8PPXq1SOwZQt018+hy0wH/ROaUisUWLpXx6xM/o2uATQaDYsWLSIoKAg3twe/QZo5cyb/93//R1xcHPb29i/oboQQouDMn3uI7Gztkw80MrXajL4DGhSLeItTrACmpioGDpFpNEK8KKG7LjDh43UA1KjlwsxZ/eQX/EIYUameqhYVFUVoaCjNmjWTpNET3L17l/Xr11O7dm3q1atn7HBEAYqNjWXr1q1cvHgRT09PevXqRbly5QDQ+zQg9dIptKlJkF/OWZFTxKj2qI6pQ7nHXsfExISpU6cyY8YMxo0bh5OTE6dPn2b8+PG8+uqrkjQSQgghhCiFdDo982Y9qDYa/HpjSRoJYWSlNnGUmZnJypUrKV++PIGBgcYOp0jLyMhg6dKlODk5ERwcLG/cJVRGRgahoaEcPXoUOzs7+vTpg4+PT66vt0JlglWVemjTksmKvk52Yoyh+khhZol52UqYOVZAoXq6t5YNGzYwduxY3n77bRITE6lUqRIjR47Ms5KbEEIIIYQo+dLSsvht5j4uRcYA4ONblgYBHsYNSghRehNHmzdvJjU1lQEDBqBSqYwdTpGl1+tZvXo16enpDBw4EFNTU2OHJF4wnU7HiRMn2L17NxqNhqCgIAICAgyrqv2bQqHAxMoOE8+aAOh1OlAonimh6OnpyZIlS54rfiGEEEII8f/t3Xt8zvX/x/HHdW123tgcNjYkJseZQw4pp0w5VEiOOZVOVJQQQkpKB9++9RMlITlVRM6H2JyPCSGnL2PDsM1hFzte1++P5craxtjhui573m83ty6fz/vzeb8+711brtfe79fb8e3fG82wQQtJSEiyHouMjOfPfWeoWSvQhpGJSKFMHP3555/s3buXp556Cj8/P1uHY9c2bdrEkSNH6NatG76+vrYOR/LYyZMnWblyJTExMYSGhtKiRQu8vb3v6B4G7X4mIiIiIrlw7VoywwYtxGRKynA8OSmVYYMW8vOyl/DwcLFRdCJS6BJHly5dYunSpdSoUYNatWrZOhy7dvz4cdavX0+TJk2oXLmyrcORPBQfH8+aNWs4dOgQQUFB9OvXj8BA/SZHRERERAre+rWHM8w0usFstpCQkET42sO0ebKmDSITEShkiSOz2czChQtxc3NTrZ7buHz5MgsWLOD++++nadOmtg5H8khycjIbN25k69ateHh40LFjR2rUqKHvBRERERGxmTPRl3F2NpKamnnnXmdnI2eiL9sgKhG5oVAljjZu3EhUVBR9+vTBzc3N1uHYrdTUVH788UdcXFzo2LEjRi1FcngWi4V9+/axdu1aEhMTady4MY0bN8bFRVN+RURERMS2ygQWzTJpBJCaaqZMYNECjkhEblZoEkenT58mIiKCJk2aUK5cOVuHY9du1Lx57rnn8PDwsHU4kktRUVGsXLmS6OhoqlevTsuWLbXVvYiIiIjYjeYtH+CLz9Zx/VpKhuNGowEPDxeatXzARpGJCBSSxFFiYiILFy4kKCiIJk2a2Docu/bHH3+we/dunnjiCcqUKWPrcCQXrl69ytq1a9m3bx8BAQH06dOH8uXL2zosEREREZEMPDxc6NKjHjOmbgXSE0ZmswUPDxcmfN5RhbFFbOyeTxxZLBaWLVvG9evX6dWrl5Zd3cK5c+dYtmwZtWvXpk6dOrYOR+5SamoqW7duZePGjRQpUoQnnniC0NBQvfdFRERExG5ZzBbr66YtKtOg0X00a/mAkkYiduCeTxzt27ePP//8k44dO2o7+Vu4fv068+fPp2TJkrRp08bW4chdsFgsHDp0iDVr1nDlyhUaNGhAkyZNVM9LREREROzeqcg46+t+rzxM2XL67CZiLxw6cWSxWG65G1RcXBzLly8nJCSEmjW1fWN2LBYLv/zyC0lJSfTu3RtnZ4d+WxRK586dY9WqVZw8eZLKlSvz7LPPUrx4cVuHJSIiIiKSI5En0xNHzs5GSpdRMWwRe5Kna1d27dpFz549KVeuHO7u7tx///288MIL/O9//8vLbkhKSuLNN99kzpw5AFxPtnDivIUjZy2cvGAhMcVCWloaCxcuxNPT0zqDZsaMGRgMBk6ePAlAnz59uO+++/I0tqz6sXcbNmzg6NGjdOzYUUWTHYzJZGLp0qV88803JCQk0KNHD7p166akkYiIiIg4jLQ0M1Gn4gEIKuuLs7NKLIjYkzybWjJp0iQGDRpE8+bN+eijjyhTpgzHjh3jk08+YcGCBaxduzbP6uacPXuW//znP0z55js2HzZzNh6MRsACGMBshiKpFzgfe5VePZ7B1dU1T/rNqbZt27J161ZKly5doP3ejWPHjhEeHk6zZs2oVKmSrcORHEpLS2Pnzp2Eh4djMBh47LHHqFevHk5OTrYOTURERETkjsScvUJychoA5e7zs3E0IvJveZI42rx5MwMHDuTVV1/l888/tx5v1qwZ7du3p06dOvTt25e9e/fmRXdWB6IsFI9Pzxelmf8++HdNtURjcSo36U+xEgVfTK1kyZKULFmywPu9U5cuXWLBggUEBwdrtzkHcvToUVavXk1sbCx169alefPmeHh42DosEREREZG7EnlTfaPyShyJ2J08mQP4ySefUKxYMcaPH5/pXIkSJZg4cSJPP/00V69eJS0tjQkTJlCjRg3c3d3x9PTkoYceYt26ddZrEhMTGTBgAEFBQbi6ulKlShU+++wzAE6ePEmFChUA+PK95+nf4X7rdYf+2MiYV5rzbDMvnn/cn/97/wWWbjmPxWIhJ65fv87w4cMJDg7G1dUVHx8fwsLC+OOPP6xt+vTpQ8uWLZk+fTqVK1fG1dWVWrVqsXz5cmsbR1iqlpqayo8//oibmxsdOnS4Za0osQ8XL15kzpw5zJkzBy8vL1566SXatm2rpJGIiIiIOLRTJ/9JHGnGkYj9yfWMI4vFwqpVq3jyySez/QDbqVMn6+shQ4YwadIkJkyYQEhICFFRUYwdO5ZOnTpx+vRpPD09GThwIKtXr+bTTz8lICCAFStW8NZbb1G8eHG6devG1JkLeKH303TsM5IGzToAcHDPBt5/vRU167XgjXHzSLgSx/ypYxj6wqM03LSD+0rf/sN1r169iIiI4KOPPqJixYocOXKEUaNG0bVrVw4dOmRNruzatYszZ87w3nvvUbRoUUaNGkWnTp2Ijo52mJ3bli9fzoULF3juuedwd3e3dThyC4mJiURERLBjxw58fHzo3LkzVapUUbJPRERERO4JGRJH5ZU4ErE3uU4cxcbGkpiYaJ0FdDtnzpxh/PjxvPbaa9Zj7u7uPP300+zbt49GjRoRERFBy5Yt6dq1K5C+5M3Ly4sSJUrg6uqKV+lQAAKC7qfCA7UBmDt5JGXKPcDbny7B+Hedl+AaDXmzew2+mPwdE9979ZZxJScnc/XqVb788ku6dOkCQNOmTbl69SqDBw/m3Llz1ppFly9fZvfu3VSsWBEAT09PmjZtyrp163j66adzOHK28/vvv7Nnzx6eeuoph6jDVFiZzWb27NnDunXrSElJoVmzZjRq1Ei73omIiIjIPeXmpWpKHInYn1x/AjUa01e7paWl5aj97NmzgfRlN0ePHuXw4cP8+uuvQHryBqB58+ZMmTKF6OhonnjiCdq0acOoUaOs9zAlZbxnUuI1jhzYxpM93sJisZCWmgqAf5n7CSxflW0b1wC3Thy5uLiwcuVKIL349tGjR/nrr79YunRphtggvYbRjaQRQFBQUHpcJlOOxsCWzpw5w/Lly6lTpw6hoaG2DkeycfLkSVauXElMTAy1atXi0Ucfxdvb29ZhiYiIiIjkuVMnYwEoXsITT6+C3dhIRG4v14kjPz8/vL29iYyMzLaNyWQiKSkJPz8/du3aRf/+/dm5cyfu7u5Ur16d8uXLA1hrEX3++ecEBQXxww8/0L9/fwAaNWrEpEmTqF27Nv9eoWO6Eo/FbGbxrI9ZPOvjTP0XKeLMtGnTrMW5jx49iru7O2azOUO7VatWMWjQIP766y+8vb0JCQmxfli/uU7Sv5fk3Uie/ft+9ubatWv8+OOP+Pv707p1a1uHI1m4dOkSa9as4eDBgwQFBdGvXz8CAwNtHZaIiIiISL64fOk6l+KvA6pvJGKv8mTNy2OPPcb69etJTEzEzc0t0/np06czcOBA61KukJAQ/vzzT6pWrYrRaGT58uUsWLDA2t7V1ZWRI0cycuRITp06xZIlS3j//ffp3r07hw4doti/yhW5e/pgMBho23UQjcO6/qt3Mz5FEvHzjOfq1asALFu2jC1btrBv3z6uXLnCrFmzSEpKYsCAAYSFhTF79mxCQ0MxGo189dVX1plIjsxsNrNw4UKSk5Pp27evljvZmeTkZDZt2sSWLVvw8PCgQ4cO1KxZU3WMREREROSedurmHdW0TE3ELuVJ9mDw4MEsWLCAkSNHWnc/u+H8+fN8/PHHBAcH4+bmRmxsLAMHDqR69erWNitWrADSkxvXr1+nVq1avPTSSwwePJhy5coxYMAAjh07xtSpUwGoFJAxbHdPbyo8UIfoyL+oWLWe9Xhy4nUmjuxMt05t6PDsAC5fvsyMGTN48cUX8fLyYvfu3Zw7dw5XV1ciIiJITk6mbNmyLFmyhOXLl+Pr68t3330HwL59+zAYDKSkpOTFkN0Ri8WSowSCxWIhKSmJtLQ0DAYDLi4u1gRRREQEx48f59lnn6Vo0aL5HbLkkMViYf/+/axdu5br16/z0EMP8fDDD+Pi4mLr0ERERERE8t3NiaNy9xW3YSQikp08SRw1bNiQ999/n3feeYdDhw7Ru3dvSpYsyZ9//smnn37K1atXWb58OWXLlsXHx4cPPvgAZ2dnihQpws8//8y0adOA9CVt7u7u1K1bl7Fjx+Li4kJISAiHDx9mxowZ1t3ZypdJT3z8uWsdgfdVJbh6A7q9PI4PB7fjizHP8vBj3TGnpbFkzmccO7Cdj997M0O8Hh4elCtXDj8/P9zc3OjcuTN16tRh5syZHD16lIYNGxIbG8ucOXPYs2cPACtXrmTPnj0cOHCAy5cvM3XqVIoXL46fnx+JiYkAd5xU+vPPPxk3bhzh4eHExcVRvHhxmjRpwttvv03t2ulFvzdv3sz48eNZtmxZtvdJS0vj8pUrXL58GbPZbE0yWSwWPDw8uHrlChs2bKBFixYZajPdjXfffZexY8dmWLondyc6OpqVK1cSFRVFtWrVCAsLo1ixYrYOS0RERESkwGTYUU1L1UTskjGvbjRy5EiWL1+OwWDgzTffpE2bNnzxxRe0bt2avXv3UqNGDYoWLcrixYuxWCw888wz9OzZk1OnTrFhwwa8vb3ZuHEjAN988w19+/bl008/pVWrVrz//vv069ePyZMnA1C0aFEGDnqDHRGLGP9GG1JTkqnVoBUj/7OC2PNRTBzRmf97rzcuRZx46eVX2Lt3L2fPnr1l/JUqVWLu3LmcO3eOl19+mc8++4yAgADCw8MxGAxUrVqV/v37U6FCBdzc3ChVqhSXL19m165d1qVsy5Yt47PPPmPTpk0A7N69m8OHD3Px4sVMxcMPHDhAo0aNuHDhAl988QVr1qzh008/JTIykkaNGrFt2zYApk6dyoEDB7KNOyUlhdNRUcTHx1trLFksFmti59q1axiMRpo0acLDDz98p1/WTPr168fWrVtzfZ/C7OrVqyxatIhvv/2WlJQUevfuzTPPPKOkkYiIiIgUOpE3JY7KK3EkYpcMFgeeOpJmtvC/GDh81kJiMhgMYLGAhytULm2gQim4Zkpg3rx5nD9/ng4dOlCtWrU8jyMxMZHY2Ngs/9yYhWQwGPD19bXOUvrqq6/YvXs3e/fupXjx4tZZQiaTiSpVqhASEsKyZcvo06cP4eHhnDx5MvPzp6VxOioqxzvalSxRAh8fnzx7brkzqampbN26lY0bN1KkSBFatGhB7dq1rcXVRUTEMc2avo2UlJz9v9iWPDxc6Prsgw4RryPFClCkiBM9+za0dRgiDqn709OIOhWPm5szKyMGYjSqxqeIvXHoCslORgPBpaFSACQkQkoaFHECLzesiRhvb2/69OnD4sWL+emnn2jevDmPPPJInhYddnNzIzAwMNPuVxaLhYSEBGsS6eLFi8TFxXHs2DH++usvTCYT//3vf3F3d8fPz4/ixYtTvHhxBg4ciJOTEz179uSHH34A0p9n+vTpNGvWjAoVKvDZZ58xZcoUzp8/z4gRI3i6Uyf279vHxIkT2b9/PympqdSvX58hQ4ZQuXJlAFq1asX27duzfIbp06cD0Ldv3yzPN23alPDwcC1VuwsWi4W//vqL1atXc+XKFerXr0/Tpk2zLCQvIiIiIlJYJCencjb6EgBly/spaSRipxw6cXSDwWDA2z3780WKFOHpp5+mZMmSrF+/ngsXLvDkk09SpEiR/I/L2xtvb2/uu+++TOdeffVVfvnlFx5//HF8fX0xmUycPn0ak8kEgJ+fH1WqVOHs2bOMGDGC4sWLc/ToUSB9aeC7Y8fi7e1NzZo12bp1K8/17Uv9+vX58KOPSE5OZsrkyXR+5hkWLFxIxYoVGfveezg7OeHp6Qmkz4Dp3bs3ycnJtG7dGqPRmGkZ2syZM5kyZQovvPBCvo7VvSomJoaVK1dy8uRJgoOD6dGjByVKlLB1WCIiIiIiNncm6hJpaem/kNYyNRH7dU8kjnLCYDDQtGlTSpQowaJFi4iPj6dLly54e3vbJJ4BAwYQExPDJ598Yt2JrkSJEjz22GO8/PLLVKpUidjYWI4cOUJsbCx+fn4cPHjQWqupZs2adOjQAScnJwBee/VVypUrx3fTp1uPPfLIIzzaogX//fxzvvjySypVqoS7mxtlypQBoH///pw9e5aNGzfi7+8PQMmSJa0xbtq0ie+++46hQ4fSo0ePAhube8G1a9dYv349u3fvxs/Pj+7duxMcHGzrsERERERE7MbN9Y3KlVfiSMReFbriKtWrV6dv375cuXKFb7/99rZFs/PTe++9x5kzZ5gzZw7PP/88Pj4+zJ49myZNmjB//nyqV6+Ov78/Hh4e9OvXj6FDh/Liiy8C0LhxY+tyu2vXrrFv3z7atG1rTRoB+Pj40Lx5c2uhbYDUv+shTZ48mcmTJzNt2jTq1q2bKbZTp07x9NNP8+ijj/Lhhx/m5zDcU9LS0ti2bRtffvkl+/fvp1WrVrzyyitKGomIiIiI/MupSO2oJuIICs2Mo5uVKVOGfv36MW/ePKZPn06HDh2oWrWqTWLx9fWlW7dudOvWDYA9e/bQs2dPhg0bxrPPPpuhrcFgwMPDA4AqVarg5OSExWLhypUrWCyWDLOFbihRsiRXr161/j0+Pp758+YxYsQIXnvtNTp37pzpGpPJxJNPPomvry9z585V8eYcOnbsGKtWrSI2NpY6derQvHlz67JAERHJP5GRkfz0008cPXqU8+fP4+7uzgMPPEDv3r0zLRUXERH7cSrDjmrFbRiJiNxKoc0I+Pj40LdvX4KDg/nxxx/ZuHFjgRV8jo6OpkyZMkybNi3Tudq1azNu3DiSkpI4fvx4tvdwdna2xuvj44PBYODChQuZ2l04fx5fX18AzGYzRw4fZuzYsVSoUAFfX1/Gjx/P5MmT+eWXX9i8eTPHjh2je/funDx5kl9//ZWiRYvm0VPfu2JjY5kzZw6zZ8/Gy8uLF198kXbt2ilpJCJSQPbu3cuJEycICwtj+PDh9OzZk8jISN544w2io6NtHZ6IiGTjxowjgwGCyhazbTAikq1COePohiJFitCpUyciIiJYt26dtWi2s3P+DktAQADOzs5MmjSJHj16ZNpd6/Dhw7i5uREcHJxh6dnNnJyccHNzIzExEQ8PD2rWrMnyZct49dVXrddcvXqV9evX0+ihh4D0JW3vvvsuZcuWJSIigsTERGJiYqx/Dh06xKpVq9i4cSPPPfcc27dv5+TJk/j7++Pv76+izv+SmJjIhg0b2L59Oz4+PnTu3JkqVark6Y59IiJye02bNuWJJ57I8PO3cuXKvPrqq6xZs4Y+ffrYLjgREcmSxWKxzjgKKF0UV7f83bhIRO5eoU4cQfryr2bNmlGiRAkWL15sLZrt5eWVb306OTkxefJk2rdvT7169Xj11VepWrUq165dY/Xq1fzf//0f48aNw9fXl2LFihETE8OKFSsIDQ3NcB/fYsU4e+4cAG+99RZ9+/blub596dmrFykpKUyZPJnk5GRee+01AIa89RYnTpxg3rx5REZGkvZ3vaMSJUpQtWpV9uzZwzvvvEO3bt2oX78+kZGR7NmzhytXrgBQvnx5du7cCcDmzZutCSUvL69ClSwxm83s2bOHdevWkZKSQrNmzWjUqFG+JxxFRCRrWc2ODQwMBLDuVCoiIvYlNtaEyZQMqL6RiL3TJ92/1ahRA19fX+bNm8fUqVPp1q0bAQEB+dZf27Zt2b59O5988gkffPABFy5cwNXVlTp16jB//nw6duwIQN++fVm+fDlPPfUU7733Hl27drXew8PDA99ixYi/dImHGjdm5vff89/PP2fQwIG4uLjwYP36fPLpp1SuXBknJyfWrFkDwFNPPZUpnt69ewPpmf85c+YwZ86cTG127NjBoUOHANiwYQPJycnWOG4kkW78KVmy5D2ZSImMjGTlypWcO3eOWrVq8eijj9psZz4REcneX3/9BUDZsmVtHImIiGQlY30jJY5E7JnBUlCFfRzElStXmDt3LrGxsXTs2JEqVarYOqRbslgsrFu3jrLlymW7rM3N1RV/f/88TeRYLBYuXbrEuXPnMix3i4+PB9JncpUoUYKAgABKlSqFv78/AQEBDjs76dKlS6xZs4aDBw8SGBjI448/TlBQkK3DEhGRLKSmpjJkyBBOnz7N9OnT8z3BP2v6NlJS0vK1j7zg4eFC12cfdIh4HSlWgCJFnOjZt6Gtw5ACdvLkSQ4ePEh8fDyXL18G0mdA+vr6Uq1aNRXnv41FP//BxAlrAXhreBhPdqxl44hEJDv33pSQXLpRNHvRokXMnz+fRx99lMaNG9ttsuPQoUNs2rSJzp07E+Dvz5WrV0lLS8NoMODq5kbRokVxdXHJ834NBgO+vr74+vpm2JEuKSmJ8+fPZ0gmHT582Do7yd3d3ZpMCggIyDA7qVmzZkRERGTop2jRotSpU4cxY8bQtGlTAJo1awZAeHj4XcVusVgwJUFKGrg6w8cfjmXs2LFZFkdPTk5m8+bNbNmyBXd3d9q3b09ISMgdvR9mzJhB3759OXHihP4BISKSzywWC19++SWHDx9m+PDhmhUqInnq0qVLLFq0iDVr1nDp0iUsFgsuLi54eXml/xvTZCI5ORmDwUDRokVp1aoV7du3p1ixYrYO3e5E3jTjSEvVROybEkdZcHFx4ZlnnmH9+vX89ttvXLx4kXbt2tnd0qvExERWrFjBAw88YE3e+Pj42DQmV1dXypYtm2FpwI3ZSTcnk44ePcr27duBf2YnXbhwgeDgYD744AP8/PxwdXXl4sWLTJkyhccee4zdu3dTvXp1vvrqq7uKLTXNwv/Ow+EzFq4ng9EAZgscO5eeMDJbLBj/TghZLBb279/P2rVruXbtGg899BAPP/wwLneRhGvbti1bt26ldOnSdxW3iIjk3JQpU1izZg2vvvoqjzzyiK3DEZF7hMViYf78+cybN4+0tDRCQ0N55JFHCA0NpVSpUhnanjt3jl27drFx40Z++uknFi1aRNeuXenSpYvd/jLaFm7sqAZaqiZi7+wrE2JHDAYDLVq0oGTJkixevJi4uDi6dOliV1us//bbbyQnJ9O6dWtbh3JLN89OunnpX3JycobZSWlpaaSmpnLw4EEgfXaSv78/L7/8MhEREfzf//0fX3zxBdWqVbvjGJJSLKw/YMGUCGl/TywyW26cS//v5sMWGleGs2fPsHLlSqKioqhWrRotW7bE19f3rp+/ZMmSlCxZ8q6vFxGR2zObzXz55ZesXr2aN998k5YtW9o6JBG5h7z11lv89ddftG3blq5du+Lnl32iIyAggHbt2tGuXTuio6OZNm0a33//PTt37uSzzz4rwKjt26mTsQB4+7hRzNfDxtGIyK0YbR2AvatZsyZ9+vQhLi6OqVOnEhMTY+uQAIiKimLXrl00b948y91kHIGLiwtBQUHUrVuXNm3aEBAQQLly5Rg4cCBdu3alQYMGeHh4cPr0aQD27dvHhx9+SHBwMNWrV2fjxo0cOXKExYsX06hRI7y8vPD19aV9+/YcPnzY2o/FYmHsxLkM6Faf7s286N/hPmZPepuU5KQM8SxftpT7g6tRvnx5RowYgbe3N88884w1aRQXF8dLL72Ev78/bm5uNGzYkN9++y3DPQwGA2PHjuXBBx+kaNGijBs3jhkzZmAwGDh58mT+DqiISCGVnJzM+PHjWb9+PSNHjlTSSETyXFRUFBMmTKB///63TBr9W2BgIKNHj+bdd9+1/ptW4Pr1ZGLOXQWgXHk/zcQSsXNKHOVAUFAQL7zwAm5ubnz33XcZkhK2kJaWxpIlSyhdujT169e3aSx5zWKx4OXlRcWKFXnooYd45JFHOHPmDEajkfHjx9O2bVvc3d1JS0tj8+bNTJo0iU6dOmEwGHj11Vfp378/f/zxB4899hhJSemJoU8+/5oP3+5B+eBaDP5wAR16vc3qXyYz7dMBGfr+ZkJ/Wnd9i4mff0nVqlV566232LdvH5C+LLBFixYsXryYDz74gIULFxIUFMTjjz/OunXrMtxn3LhxdOrUiblz52a5g52IiOSt//znP2zdupUuXbrg7u7Onj17Mvy5UWdPRORuff7559SoUeOur69fvz6ffPJJHkbk2E6fire+1jI1EfunpWo5VLRoUZ577jl++eUX5s2bR1hYGI0aNbJJdnzbtm1cuHCBF154AaPx3sr9bdiwgSJFimQ6Pn78eGtx7Bu/5Rk2bBjTp08nNTWVwYMHYzabiYmJoVWrVvz111+MHTuW0qVLM/7993mwSXteHj7Ver/k5CQils/MMOvopeHfUKfRY1QJNNDm8TCCg4MJDw8nJCSEWbNmsXfvXrZt20aDBg0AaN26Nc2aNWPYsGHs3LnTep8GDRowbNgw6993796dt4MkIiIZxMbGYjab+f7777M8P2PGDPz9/Qs4KhG5l+RFrcry5cvnQST3hlMqjC3iUJQ4ugMuLi507tyZdevWsWbNGi5cuEDbtm0LtGh2fHw84eHhNGjQ4J4stlynTh2+/vprIH32UXx8PCtWrGDkyJGYTCbGjRtnbXujDpWbmxuvv/46Xbp0oU2bNvTt29dajHvXrl1cjr9A/abtM/TTtstA2nYZmOFYlVqPYLYYiL0Kj1S5H0jfOQPS60kFBARQt25dUlNTrdc88cQTDBkyhPj4eOuStpo1a+b1sIiIyC18/PHHtg5BRAqZHTt28P3339OrV69MKwD27dvHnDlz6N69OyEhITaK0L5lSByVV+JIxN4pcXSHDAYDjz76KCVKlGDJkiXExcXRuXPnAimabbFYWLZsGR4eHjRv3jzf+7MFb29v6tWrl+FYq1atSEhIYMKECbz++usZzt13331ERETw0Ucf8c033/Cf//yHYsWK8fLLL/P666/j6uoKgI9vxt0usuLmnv41NFuwzuQym81A+m+zz507l+VsKICzZ89aE0f6rbaIiIjIvW3FihUkJydnWTaiZs2axMfH8+uvvypxlI3Ik9pRTcSRKHF0l2rVqoWfnx/z58/n22+/pVu3bpm24sxrBw4c4Pjx43Tt2vWutoV3ZKGhoaSmpnLixIkMxy0WC1WqVGHChAm89tprREREsGTJEj766COOHTtm/ZpcvXQhw3UJV+L431+7qVyjUYbjBgP4uGfuv1ixYgQHBzNnzpws46tQoUIunk5EREREHMmxY8cICwvL8pzBYKBx48asXr26gKNyDNeuJfPnvmgAjEYDxXyz+Me3iNiVe6tATgErW7Ys/fr1w9XVlWnTpnHkyJF86+v69eusXLmSqlWr8sADD+RbP/Zq69atODk54ebmxtWrV4mLi2PGjBk8+eSTlCtXju+//55t27ZRrlw5hg4dCkDlypX5+OOP8Stegl0bF2e438ZVc/hwcFuSkxMzdmSBiv6Z61Y1bdqU06dPU6pUKerVq2f9s3btWj7++OMCXa4oIiIiIrZ15cqVW6448PDw4OrVqwUYkWPYvzeaTm2/5sL5BADMZgtdnvqW/XujbRyZiNyKEke5VKxYMZ577jkqVKjA3Llz2bp1KxaLJc/7Wbt2LSkpKTz++ON5fm97cuXKFbZs2cKqVauYO3cun3/+Oe3atWP27NmEhoayaNEi4uLiuH79Ol5eXnTs2JFr166xbds2QkJCCAoKYv78+bi6utKrVy88PT0ZO/Zdtq1fyLefDGDfjjWsWjCZ+d+MIqzDy/gUK2Ht22gAPy8o5pk5cdS3b1/Kly9PWFgYM2fOZP369YwYMYKRI0dSpkyZbJewiYiIiMi9p0yZMhw4cCDb8wcPHqRkyZIFGJH9u3YtmWGDFmIyJWV5/No17YApYq80TSIP3Cia/dtvv7F69Wpr0WwnJ6c8uf+pU6f4/fffad26NT4+PnlyT3thMpk4f/48MTExXLx4kQMHDtC4cWPreWdnZ/z9/enTpw/9+/cnKCiIdevWYTAY6NSpEwCBgYG89957dO/endTUVOrVq8fq1autM7NeHTAAYxFPPprwKeuXfodfyUCe6D6Yp3oOyxCLWxFo/EDWu+R5enqyYcMGhg8fztChQ7l8+TL33XcfH330EYMHD86n0RERERERe9SyZUu+++475syZQ6dOnaxlJJKTk1mwYAHbt2+nS5cuNo7Svqxfe5iEhKRMx81mCwkJSYSvPUybJ7XJjIg9MljyY3pMIfbHH3+wZMkSypYtS+fOnfHw8MjV/dLS0vj6669xcXHhueeesxZtdjSpqalcvHiRmJgYYmJirMmihIT0aapOTk6UKlUKf3//DP/18vLKsxiuXrfwx0kL5y7BzcNosUC5ElCrvAHXIlknjkRERLIza/o2UlLSbB3GbXl4uND12QcdIl5HihWgSBEnevZtaOswpACZzWbGjRvHtm3bcHNzw9/fH4PBwLlz50hMTKRatWqMHz++0NUlvZWpkzcx9/sdpKaaM51zdjbSvVd9+r3ysA0iE5Hb0YyjPBYaGpqpaHZupqlu2bKFixcv8uKLLzpE0shisXDlypVMCaKLFy9al/AVK1YMf39/ateujb+/P/7+/vj5+eX783m7G3ikqoFrSRZiLkNqGrgWgYBi4OKshJGIiIiI5IzRaGT06NGsW7eOjRs3Eh2dXqOnevXqNGrUiFatWqkG5r+UCSyaZdIIIDXVTJnAogUckYjklH6a5YNy5crxwgsvMHfuXKZNm0anTp2oVKnSHd8nLi6OiIgIGjVqREBAQD5EmjtJSUnWxNDNSaKkpPQpqK6urvj7+1O+fHnq169vnUXk6upq07g9XA1UyN8N8ERERESkEGjRogUtWrSwdRgOoXnLB5j0n3BMpiRuXvNiNBrw8HChWcvCtwGQiKNQ4iif3CiavWDBAubMmUOrVq1o0KABBkPOZrZYLBaWLVuGt7c3TZs2zedob81sNhMXF5cpQXTp0iUgfcvREiVK4O/vT6VKlayziHx8fHL8vCIiIiIicu/y8HBhwucdeWPATyQnpWY67uGhZX0i9kqJo9to1qwZERERGY4VKVKEgIAAnnjiCcaNG4evr2+W17q6utK1a1fWrl3LqlWruHDhAm3atMlR0ez9+/fzv//9j+7du+fZ2uhmzZoBEB4enm0bk8mUKUF0/vx50tLS6wt4eXnh7+9P1apVrQmiEiVKaCquiIiIiIjcUs1agfTs04BpX28GoMMzobz0ahMljUTsnD7t50Dt2rX56quvrH9PTk5m9+7djBgxgj179rB58+ZsZ9YYjUZatWpFyZIlWbp0KXFxcTzzzDPWotnXkiwcj4F4E2CBYp5Qpmgiq1atonr16gQHB+fZc9z8DKmpqVy4cCFTkshkMgHpu5ndKFIdEhJiXWbm6emZZ/GIiIiIiEjhYnT653NT/YYVlDQScQBKHOWAj48PDRtm3CmjSZMmJCQkMHr0aLZv357p/L/Vrl07Q9Hsrl27c/xScSIvgMEI5r/rxJ29BAdOu+Ib3JaWLcrlOnaLxcLly5etBarPnz/P+vXriY2NtRar9vX1xd/fn7p161pnEfn6+jpEMW4REREREXEcaTcVyHZyUlkLEUegzEAu1KtXD4DIyEgAFi9eTL169XBzcyMgIICBAwdaZ/AATJ8+nSlTprB69RrurxRM++aVuHI5llc7VmDKB30BMFsAg4HdO7fhW9Sb4/87AaTXEcruz8mTJ+nTp0+W54xGI+3bt2fevHn06dOHd955hwoVKtC2bVuef/55hg8fzuuvv06XLl1o3rw51apVo3jx4koaiYiIiIhInktLuylx5KzPHCKOQDOOcuHw4cMAVKxYkTlz5tCjRw969OjBuHHjOHnyJCNGjODAgQOsWbPGupTt9OnTuLh789q7c0i4Eo930eJZ3ttCevsTMVDxfti6dav1nNls5q+//uKVV16hVq1abN68maCgIJ5//nkgfXlcsWLFWLRoEWfOnGHYsGE0btyY9evXA9CmTZt8GxMREREREZHspGaYcaTEkYgjUOIoBywWC6mp/1T+j4uLIyIignHjxtGwYUPq1q1Lhw4dePzxx/nhhx+s7YKDg2nZsiXLly+nbdu2QHptoe79PyU4tGWO+j52zsx9x45jNputdYjOnDnD1KlT8fb25qmnngKgadOmGYpVf/bZZxw/fpzFixfTunXrPBwNERERERGRu5NhxpESRyIOQYmjHNiwYQNFihTJcMxoNPLoo48ydepUDh8+TFRUFCNGjMiQYGratCk+Pj6sWbPGmjgCKFW+Zo77Tkox8/OScMzXL1CqVClKly7Nzz//TEJCAhs2bCA0NDTTNcuWLWP48OF88MEHtGvX7o6fV0REREREJD+kpVmsr5U4EnEMShzlQJ06dfj666+B9FpDbm5ulCtXDm9vbwA2b07fTrJ///70798/0/VnzpzJ8He/4v7clGi/JaPRQIenu1C5rDcGg4Fx48axbt06lixZkmXS6ODBg3Tv3p3OnTvz9ttv38FTioiIiIjInfrll1+YPn0606dPp3jxrMtQyD8yzjhScWwRR6DEUQ54e3tbC2FnpVixYgB88sknNGvWLNN5X1/fDH+3WDKeNxgMmM1pGY4lXk/4+6QTfsXSk0aLFi1i9OjRfPTRR1nWKYqLi+PJJ5+kUqVKfPfdd7d/MBERERERuWtpaWksWrSI1NRUFi1aZK05KtlTcWwRx6Pv1DxQpUoVSpUqxYkTJ6hXr571T1BQEG+//TZ79uzJ0N7ZKeP17h4+xMacznDsyL4tABiN4OcF+/fvp2fPnnTr1o2hQ4dmiiE1NZVnnnmGhIQEFi1ahLu7e94+pIiIiIiIZBAREUFsbCxhYWGsXLmSa9eu2Toku5em4tgiDkczjvKAk5MTH3zwAS+99BJOTk488cQTXLp0iffff5+oqCjq1q2boX3l0nAwCsx/zzyq/VBbfv3hIxZ9P57gGo3Ys3kpB3b/BsB9JeDypXiefPJJAgICGDhwINu3b8dy07SlihUr8v777xMeHs63337LuXPniI6Otp738fGhWrVq+T8QIiIiIiKFyIIFC3jooYd4/vnniYiIYPny5XTq1MnWYdk1FccWcTxKHOWRfv364ePjw8cff8w333yDl5cXjRs3Zvbs2VSoUCFD2wfKwMkLcC0pPXn0VK8RXLl0gWVzPyMtNYXQh9ry4vBv+XTYU1QKgH379nHy5EkAGjRokKnv6dOn8+uvv2I2m3nuuecynW/atCnh4eH58dgiIiIiIoXS7t27OXnyJK+99ho+Pj48+uijLF68mA4dOuDk5HT7GxRSKo4t4ngMFsu/K+5IQbiebCH8AFy5/s/MoxuMBvByg+bVwcNVBeNERETs2azp20hJSbt9Qxvz8HCh67MPOkS8jhQrQJEiTvTs29DWYUgBGzFiBElJSXz22WcAREVF8dJLLzFo0CDCwsJsHJ39GjtyKb+t/guAeYv6USawmG0DEpHbUorXRtxdDDweCk2rQRlf8HAFDxcoXQyaVIU2tZU0EhERERGxR8eOHeOPP/6gY8eO1mNBQUHUr1+fhQsX2jAy+6elaiKOR0vVbMhgMBBQDAKK2ToSERERERHJqQULFhAQEMBDDz2U4XjHjh0ZNmwYO3fu5MEHH7RRdPZNu6qJOB59p4qIiIiIiORQTEwMGzdu5KmnnsJgyLhCoGbNmgQHB/PTTz/ZKDr7d/Ouas6acSTiEPSdKiIiIiIikkN79+4lJCSExx57LMvz3bp1w2g0cuHChQKOzDFoqZqI49FSNRERERERkRxq1aoVrVq1yvZ8w4YNadhQxdKzo13VRByPvlNFRERERESkQGSccaTNgEQcgRJHIiIiIiIiUiBUHFvE8eg7VUREREREpBC7fv06gwcPZvv27fne182JI6NRH0dFHIFqHImIiIiIiBRSa9asYfr06Vy5cqVA+ruxq5rRaMBo1FI1EUegFK+IiIiIiIid2bFjB61bt872fGRkJO+88w4dO3akY8eOjBo1isjIyDvuJywsjDlz5lCtWrXchJtjN4pjqzC2iOPQd6uIiIiIiIidMJlMHDx4kG+//TbbNpcuXWLo0KGYTCYGDRrEoEGDMJlMDB8+nMuXLxdgtHcu9e+laiqMLeI4tFRNRERERETETvTv35/z58/fss2SJUtIS0vj/fffx8vLC4C6devSu3dvli1bRvfu3QEYNWoU0dHRma4vUaIEH3/8cd4HnwNp1sSR5jCIOAoljkRERERERO7A7NmzadCgAZUqVcry/Pbt20lKSqJJkyZ3fO9Ro0aRkpLCqlWrWLVqVZZt9uzZQ61ataxJIwBPT09CQkLYvXu3NXH0/vvv33H/+c2aONKOaiIOQ9+tIiIiIiIid2D27NkcOXIk2/NHjhzhm2++uat7V6pUiapVq1KiRIls20RHR1OyZMlMx/39/bOcYWRPNONIxPHou1VERERERCQPFSlShISEhHy7v8lkws3NLdNxd3d3TCbTHd0rPDyc119/nWPHjvHNN98wZMiQvAozS2mpKo4t4mi0VE1ERETuGTt27GDMmDGsWLHC1qGIyD3GZDJlSMokJCRkqkVksVg4ffo0y5cvJyAgIF/jMRozJ14sFssd36dZs2Y0a9YsDyLKmTQVxxZxOEociYiIiMMzmUxERkbechciEZHcWLRoEXPmzAHAYDAwc+ZMZs6cmWVbo9HICy+8kG+xeHp6kpSUlOn49evX8fT0zLd+88KNxJGzs5ONIxGRnFLiSERERBxeTnYhEhHJjRo1atClSxcsFgvz58+nXr16mYpjG41G/Pz8CA0NpUyZMvkWS2BgIKdOncp0/NSpUwQGBuZbv3lBNY5EHI8SRyIiIuLwcrILkYhIbtSqVYtatWoB4OzsTP369QkODrZJLKGhoSxatIiEhATrzmoJCQkcPHiQZ555xiYx5ZSWqok4HiWORERExOHd+K3/7t27bRyJiBQGPXr0yLd7R0ZGkpqaSnx8PADHjx8HoFSpUnh7ewPQrl07li5dypgxY2jfvj2QvpTOzc2Ntm3b5ltseSEtTcWxRRyNEkciIiJSYM6fP4+Pj0+WuwFBen0OSN8ZSETEnplMJnbs2EFMTAzJycmZzhsMBnr27HnH9x09enSGpbevvvoqAG+++SZhYWEA+Pn5MWHCBKZOncrEiRMxGAxUq1aNCRMmUKxYsbt7oAKSlvr3jCNnJY5EHIUSRyIiIlJg+vbty4ABA2jTpk2W56dPn87+/fuZPHlyAUcmUnikpZkdaraHPcb7119/MXr0aEwmU7Y7md1t4ii7gtv/VqFCBcaPH3/H97cli8WiGkciDkiJIxERESkwt9squlSpUpw9e7aAohEpnJycjMybvZOU5DRbh3JbRVyc6NrjQVuHkcnXX3+NxWJhyJAh3HfffZolmUNm8z//D1DiSMRxFJrE0cNPRGAwpv9wMhgNGAw3vf77uDGb4wajAWOG4+mF3AwGo/W10WjEYDBkamO8qU16v4Z/+rpxf8NN7W9qk95v5nsaDAaMN73+py8y9JXh2r9rz918f6PBgMFIxpj+bpd+PTf1x0398c/11jbcFBP/XHtz3wZuioObrr25r6zb3HxthvsbwGCwZNPGkvmeBjBgyeI+ln/aYLnpPpZ/2vz7ODff32Jtk7G9JdNrI2R5/N+v/7m/5Z+Yuel1dsexYMD8TxvLTecs5hy8tmCwmP+5143Xln/uSzZtMhy3WMD6+p/7YzGnn/v7NZZ/Ysj4+qb7mP+5P1ncP8M9zf/c5+b7px+/6T5Z3BPzza//dZ+//6Fjuek1FjMWc9b3tB43W9Kv+df9LeZ/2ltuutbyrzZZ3efGtZYbMZnN/3wYz3D8n+v//frGs1n+fZ9srjWnZdcm83FzWg6Pp2U+bk6zYEnLot80C+bUv1+nZPfanOF425TDiH268f+drOzfv9/ut5IWuRekJKeRkmL/iSN7dfLkSTp27EizZs1sHYpDuTHbCFQcW8SRFJrEkYiIiNjGmjVr+O2336x/X7hwIRERERnamM1mzpw5Q3x8fLbL2ERE7IWPjw+urq62DsPhZEwcacaRiKNQ4khERETyVUJCAtHR0UD6bKNLly6RmJiYoY3RaKRkyZI8/vjjd7WVdE52IRIRySvNmzcnIiKCZ5555pazKCWjGzuqgRJHIo5EiSMRERHJVx06dKBDhw4A9OnThz59+uT58o6c7EIkIpJXKleuzC+//MKMGTOoXbt2tu1CQ0MLLigHcGNHNdCuaiKORIkjERERKTAzZszIl/vmdBciEZG8MG7cOAB++uknfv7550znLRYLBoOBZcuWFXRodk1L1UQckxJHIiIiYhOxsbEkJydnea506dIFHI2ISM698cYbtg7BIak4tohjUuJIRERECozJZOLrr78mPDyctLTsd3TSb+lFxJ5pCezd0YwjEcekxJGIiIgUmK+//pq1a9dSp04dypcvj7u7uwrLiohDS0xM5OrVqxQtWhQXFxdbh2PXVBxbxDEpcSQiIiIFZufOnTRt2pRhw4bZOhQRkVzZvHkzs2fPJjIyEoAxY8ZQv359jhw5wnvvvcerr75Kw4YNbRylfclQHFuJIxGHoe9WERERKTApKSlUrlzZ1mGIiOTK5s2b+eCDD/Dx8aFr165YLP/MpKlcuTLFixdn7dq1NozQPmVYqqZd1UQchr5bRUREpMDUrFmTo0eP2joMEZFcmT9/PiEhIXz00Ue0bt060/m6dety/PhxG0Rm31TjSMQx6btVRERECkyvXr3YtGkThw8ftnUoIiJ3LTIyknr16mV73sfHh9jY2AKMyDFoVzURx6QaRyIiIlJgRo8ejdlsZvjw4Xh5eWXZxmAwMHPmzAKOTEQk51xcXEhMTMz2/NmzZ/H29i7AiByDimOLOCYljkRERKTAlC5dmjJlytg6DBGRXKlRowbh4eF07tw507kLFy7w22+/3XJGUmGlpWoijkmJIxERESkwH3/8sa1DEBHJtWeffZbBgwfz5ptv0qJFCwAOHTrEyZMn+eWXX0hJSaFLly42jtL+aFc1Ecek71YREREREZE7ULFiRcaPH09ycjLffvstkF4we8aMGbi4uDBmzBgqVKhg4yjtj3ZVE3FMmnEkIiIiBcZsNt++EWA06gOFiNi3atWq8c0333DixAmioqIwm80EBARQqVIlnJycbB2eXVJxbBHHpMSRiIiIFJh27dphMNz+w8KyZcsKIBoRkTtz/fp1zGYznp6e1mMVKlTQ7KIcUo0jEcekxJGIiIgUmEcffTTbxNGJEyc4efIkzZs3L+CoRERuLyoqipdeeomaNWvy0UcfZdtu3LhxbN++nWnTplGqVKkCjND+pWpXNRGHVGgSR5uWNLVJv3FxcSxfvpw2bdrg5+dnkxjsQf6OQ3a/ubbP6a96T6TTOKTTOPxDY1E4DB48ONtzsbGxvPzyy4SGhhZcQCIiObR69WqMRiMDBw68Zbv+/fuza9cufvvtN7p161ZA0TkGzTgScUz6bs1ncXFxzJ49m7i4OFuHYlMah39oLNJpHNJpHP6hsZDixYvTqlUrFi1aZOtQREQy2b9/P3Xq1KF06dK3bOfn50f9+vXZuXNnAUXmOLSrmohj0neriIiI2I1SpUpx6tQpW4chIpJJTEwM1apVy1HbSpUqcfr06XyOyPFk3FXNPlcHiEhmShyJiIiIXUhKSmLTpk1aqigidslkMuHu7p6jtq6uriQlJeVzRI7n5sSRs2YciTiMQlPjSERERGxvyJAhWR5PSkoiKiqKpKQk+vbtW8BRiYjcnp+fH2fOnMlR2+joaIoVK5a/ATmgNBXHFnFIShyJiIhIgTl//nyWu6q5uLhQrVo1WrRoQYsWLWwQmYjIrdWsWZOIiAh69uyJp6dntu2uXLlCeHi4Cv1nQcWxRRyTEkciIiJSYGbOnGnrEERE7kqHDh347bffGDNmDCNHjsTX1zdTm4sXLzJu3DhMJhNPPPGEDaK0byqOLeKYlDjKZ35+fvTo0aPQ12vQOPxDY5FO45BO4/APjYWIiNizChUq0K9fP6ZOnUrfvn1p1KgRwcHBeHp6cu3aNQ4fPsy2bdtITk6me/fu1KxZ09Yh252MxbGVOBJxFEoc5TM/Pz+effZZW4dhcxqHf2gs0mkc0mkc/qGxKFz27t3L5s2bOXfuHAaDAX9/fxo1akTt2rVtHZqISLY6dOhAmTJlmDlzJhEREURERGQ4HxQUxLPPPkuTJk1sFKF9y7hUTbuqiTgKJY5ERESkwJjNZj799FMiIiKwWCy4u7tjsVjYuXMny5Yto0mTJgwZMgSjUb+JFhH71KBBAxo0aMC5c+eIjIzk2rVreHh4ULZsWcqUKWPr8OyaahyJOCYljkRERKTA/Pzzz4SHh9OxY0eefvppa42QuLg45s+fz5IlS6hQoQKdO3e2caQiIrcWEBBAQECArcNwKImJqdbXe3afpm798nh4uNgwIhHJCaV5RUREpMCsWbOGRo0a0a9fvwyFZf38/HjllVeoX78+q1evtmGEIiKZxcbG5voeJpMpDyJxXPv3RjP3+x3Wv/8873c6tf2a/XujbRiViOSEZhzlQGRkJFOnTuXgwYMAVK9enX79+lG+fPl8u/7EiRO89dZbVKxYkY8//jj3D5EHCnIcLl68yI8//sjOnTuJjY3FxcWF//znP5QtWzbvHigXCmosYmJimDVrFn/88Qcmk4mAgABat25Nu3bt7GIZR27H4YYdO3YwZswYVqxYkeX5CxcuMHXqVPbs2UNKSgoVK1bkueeeo3r16rl+hrxQEONw4cIF5s2bx6FDh4iJicHZ2Zn777+fHj16UKNGjTx5jrxQUO+Jm9njz0vJXkxMDI8//ni252vUqMHvv/9egBGJiNzewIEDGTNmDMHBwXd1/dmzZ3n//ff56quv8jgyx3DtWjLDBi0kOTkty+M/L3tJM49E7JjtP3nauUuXLjF06FBMJhODBg1i0KBBmEwmhg8fzuXLl/Pl+ri4OMaMGUNiYmJeP85dK8hxOHr0KK+88gqHDh2iffv2jBw5kueffx5PT8/8erw7UlBjER8fz8CBAzl+/Di9evVi6NChhISEMGXKFKZNm5afj5gjuR0HSP/N28GDB/n222+zbZOcnMzw4cM5efIkL7/8MkOHDsXT05ORI0cSFRWVV49z1wpqHP73v//xxx9/0LhxY4YMGcKLL77I1atXGTZsGPv378+rx8mVghqLm9njz0u5NR8fH2JiYrI9f/bsWXx8fAowIhGR23N2duatt95i1qxZXL9+PcfXJSUlMXv2bAYMGHBH191r1q89TEJCUqbjZrOFhIQkwtcetkFUIpJTmnF0G0uWLCEtLY33338fLy8vAOrWrUvv3r1ZtmwZ3bt3z9PrExMTGTNmDFWrViUuLi5/HuouFNQ4JCcnM378eOrXr8/gwYPtYlbNvxXUWGzYsIHLly/zxRdfUKpUKQAaNWrE1atXWbVqFS+88EI+PuXt5XYcAPr378/58+dv2SY8PJyzZ88ydepUa8HJBg0a8OKLL/LTTz/xxhtv5P5hcqGgxqFatWp88803ODk5WY/Vq1ePHj16sHz5crvY8regxuIGe/15KbfWoEEDVq1aRf369alXr16Gc9u2bWPNmjWEhYXZKDoRkaxNnjyZr7/+mrlz5/Lrr7/y8MMP8/DDD1OrVi2cnTN+pDKbzRw4cICNGzeyadMmLl26RFhYGC+//LKNore9M9GXcXY2kppqznTO2dnImeic/YJJRGxDiaPb2LNnD7Vq1bJ+CALw9PQkJCSE3bt33/aD0J1cn5aWxocffoiLiwuDBw/mnXfeyfsHuksFNQ4bNmwgPj6eAQMGYDQaMZvNdpc8KqixsFgsQHoy7WY+Pj64ubnl1ePctdyOA8CoUaNISUlh1apVrFq1Ktt+KlSokGGXEicnJ+rXr8/GjRtz/yC5VFDj4O3tnelY0aJF8fT0tJuaCQU1FmDfPy/l1nr37s2+ffsYM2YMQUFBBAYGAhAVFUV0dDSlS5emV69eNo5SRCQjd3d3Bg0axJNPPsn8+fNZu3Ytq1evxmg0EhAQgI+PDwaDgYSEBM6ePUtqaioGg4HGjRvTpUsX7r//fls/gk2VCSyaZdIIIDXVTJnAogUckYjcCSWObiM6OprKlStnOu7v72+t4ZFX13/99ddERUUxceJEXFzsa41vQY3Drl27KFWqFFOmTGHXrl1cunQJX19fHn30UXr37p1htoWtFNRYPPLII8yfP5933nmH5557jsaNGxMfH09ERIRd7DaU23EAqFSpEgC7d+++ZT8lS5bMsp/Y2FgSExNtmkgrqHHIytmzZ7ly5Yrd1P4qyLGw55+Xcms+Pj588cUX/PTTT2zZssVazyggIIDOnTvTqVMnu1maLCLyb/fffz/Dhw/n2rVr7N27l0OHDhEXF8eVK1eA9J9l9evXp1q1aoSEhODh4WHjiO1D85YPMOk/4Vy7lozZbLEeNxoNeHi40KzlAzaMTkRuR4mj2zCZTFl+KHV3d8/Rb/lzev0vv/xCREQEEydOpGhR+8u4F9Q4REVFERcXR9GiRRk4cCAuLi7s2bOHBQsWcOXKFQYNGpSr58gLBTUWxYsXZ8KECbzxxht8+OGH+Pj4YDQaeeyxx+jQoUPuHiIP5HYc7qSfGzMS/t3PreIoKAU1DlmZNm0azs7OtG7dOl/7yamCGgt7/3kpt+fu7k6vXr00s0hEHJaHhweNGjWiUaNGtg7FIXh4uDDh844MG7SQhIQk67K1G8dVGFvEvilxlANZLZW6sYwoL64/ceIEM2bM4N1336VkyZLWpUk3L1VycnKy+Wyb/B4HgGvXrtGoUSOef/5567HatWtjsVhYuHAhffv2tYsPigUxFnFxcbz33nu0adOGjh07snnzZpYtW8aCBQsoUaIE7dq1u/PA81huxyGnsnrv3+jHYDDkeX93qqDG4WazZ89m8+bNvPDCCwQFBeVrX3civ8fCUX5eSkYWi4WlS5diMBho27Zttt+3GzduJDU1lebNmxdwhCIikt9q1grk52UvEb72MGeiL1MmsCjNWj6gpJGIA1Di6DY8PT1JSsq8A8D169dzNJU+J9dfvXqV5ORkRowYkeU9nnrqKV588UWbzjIpiHEAcHV1zbJdaGgoP//8M2fOnLF54qigxmL69OkUKVLEmkRr164dbdq04ZNPPmHy5MmEhobaNGGQ23G4k36y2jHrxs4ktp4CXlDjcLMFCxbwww8/0KVLFzp27JgvfdyNghgLR/h5KZlt376dKVOm0KNHj1smey9dusSUKVPw9fUlNDS04AIUEbkLcXFxLFmyhD///JO4uDicnJwICgqiSZMmNG3a1C5+uWVvPDxcaPOk7Tf0EJE7o8TRbQQGBnLq1KlMx0+dOpXl8pm7ub5ixYpMnDgxU5tJkyYBMGDAAPz9/e809DxVEOMAULp0aaKjozO1S0hIALCLotAFNRaHDx+mfPnyGdoYjUZatGhBeHg4x48ft2niKLfjcCf9HD9+PMt+ihcvbvP3REGNww1z5sxh1qxZ9OrVi27duuX5/XOjIMbCEX5eSmYREREUK1aMTp063bJd27ZtWbhwIREREUociYhdO3LkCCNHjsRkMuHn50eJEiVISUlh7969bN++nZUrVzJ27FhcXV1tHaqISK7Z13ZVdig0NJQDBw5YExeQnsQ4ePAgderUydD2zJkznD59+o6v9/T0pGrVqpn+eHh44OHhQdWqVfHz88vHp7y9ghgHgAcffJD//e9/HDhwIMP1O3bswNfXl3LlyuXlY92VghqLEiVKcPDgwUy1YY4cOQKkF1+0pdyOw530c/r0ac6cOWM9lpqayu+//56pH1soqHEwm81MnjyZ2bNnM2DAALtLGkHBjIUj/LyUzE6cOEHDhg1vW8jcaDTSoEED9u/fX0CRiYjcnSlTpgDwwQcf8MMPP/D5558zadIk5s2bx/PPP8/+/fv54YcfbByliEje0Iyj22jXrh1Lly5lzJgxtG/fHoBFixbh5uZG27ZtM7QdPnw458+fZ8WKFXd1vT0rqHF49NFHWbp0Ke+++y5du3YlICCAXbt2ER4ezpAhQ+yibklBjUXXrl0ZMWIEb731Fu3bt8fHx4cDBw6wePFimjRpwgMP2Hb3idyOA0BkZCSpqanEx8cDWGcWlSpVyrr9fLNmzZg3bx5jx46lS5cuuLu7s2rVKi5fvszTTz+dz095ewU1Dt9//z2//vorTz31FIGBgezZsyfDPSpVqmRtaysFNRbieM6fP89jjz2Wo7YBAQFcvHjxjvuIjIxk6tSp1h38qlevTr9+/TLN3BQRyQvHjx+nQ4cO1K5dO8PxIkWK0LFjR44dO8b69esz1O0UEXFUShzdhp+fHxMmTGDq1KlMnDgRg8FAtWrVmDBhAsWKFcv36+1FQY2Di4sLH3/8MTNnzuTHH3/k2rVrVKhQgVGjRtGwYcP8e8A7UFBjERISwueff87s2bP5/vvvuXbtGoGBgbz88ss8/vjj+feAOZQX7+3Ro0dz/vx5699fffVVAN58803CwsKA9LpXH330EVOnTuWrr74iNTWVihUrMm7cOLv4QFhQ4xAbGwvA4sWLWbx4caZ7TJgwgZCQkFw+Te4U1FiI4zEajZjN5hy1TU1NzbLI+q1cunSJoUOHUqZMGevum4sWLWL48OFMnjzZ5rXxROTe4+3tjZeXV7bng4OD2bp1awFGJCKSfwyW/N76R0RERAq1gQMHUqJECUaNGnXbtmPGjOHChQt89dVXOb7/rFmzWLx4MTNmzLB+kDOZTPTu3ZuOHTvSvXv3u449R/1P30ZKSlq+9pEXPDxc6Prsgw4RryPFClCkiBM9+9rHL7hySmObO19//TVHjhzhs88+y/L8jBkz2Llzp7UGn4iII9OMIxEREclXjRo1YtasWezbt++WM+N+//13du3adcfLUPfs2UOtWrUy/Pbf09OTkJAQdu/ene+JIxEpfKpUqcKSJUv48ccfqVy5cqbzmzZtomrVqvzxxx8Zjqvwv4g4IiWOREREJF898cQTrFixgnfffZfevXvz2GOPZdgR8fr16yxfvpxZs2bh4+NDx44d7+j+0dHRWX5w8/f3t9Y8EhHJSxMmTADSZxYZDIZM5y0WC2fOnGHdunXWvxsMBpYtW1agcYqI5AUljkRERCRfeXp6MnbsWN59912+/vprvv32W4KCgvDy8sJkMnH69GnS0tLw9fVl9OjRd1wD0GQyZUhE3eDu7p5pZ8r8UMTF9hs35IRzkfTaUY4QryPFCo4T580cJWZ7jfONN96wdQgiIgVGNY5ERESkQCQmJrJixQq2bNnCqVOnuHbtGh4eHgQFBdGgQQPatm2Lp6fnHd+3Xbt2dO7cmV69emU4PnPmTH7++WeWLFmSV48gIiIiUuhoxpGIiIgUCDc3Nzp06ECHDh3y9L6enp4kJSVlOn79+vW7SkSJiIiIyD/ubL9bERERETsTGBjIqVOnMh0/deoUgYGBNohIRERE5N6hxJGIiIg4tNDQUA4cOEBCQoL1WEJCAgcPHqROnTo2jExERETE8anGkYiIiDi0uLg4Xn75ZcqWLUv79u0BWLRoEdHR0UyZMuWOi22LiIiIyD+UOMql1q1b07x5c4YOHWrrUERERAqtEydOMHXqVA4dOoTBYKBatWq88MILlC9f3tahiYiIiDi0QlMc+7///S8rV65k0qRJ3H///Vm2+f333xk5ciQvvPACHTt2LOAIRURE5G5VqFCB8ePH2zoMERERkXtOoalx1KxZMwDCw8OzbRMREYHRaKRp06YFE5SIiIiIiIiIiB0rNImjmjVrUrx4cTZs2JDl+ZSUFLZs2WJtJyIiIiIiIiJS2BWapWo3ZhItXLiQQ4cOUbVq1Qznd+/eTUJCAs2bNyc6OppJkyYRHR3NpUuXcHFxoUyZMrRr146wsLBb9rNv3z6GDRvGwIEDefzxxzOcy6oeUlpaGgsWLGDNmjWcO3cOLy8v6tevz/PPP4+Pj0/eDYCIiIiIiIiIyB0qNIkjSF+utnDhQiIiIjIljiIiIihSpAiNGzcmOjoaJycnmjdvjq+vL6mpqezdu5eJEyeSnJxM27Zt8yQei8XCBx98wPbt22nSpAmtW7cmNjaWFStWcPz4cT7//HOcnQvVl0hEREREROSuffrppxw8eBAnJyd8fHx4/fXX7WqjBHuPLy8UhmcsbApVViI4OJigoCA2bNjAiy++iNGYvlIvKSmJ7du38+CDD+Ll5cUDDzzA+++/b73ObDbz2GOP8dprr/Hbb7/lWeJow4YNbN26lSFDhtCiRQvr8QYNGjBs2DC2bdvGww8/nCd9iYiIiIiI3OsaNWrEG2+8gZOTE6tWreKLL77gs88+s3VYVvYeX14oDM9Y2BSqxBGkzzr64Ycf2LdvH6GhoQDs2LGD69ev07x5c2u7nTt3smzZMg4fPszly5exWCx5HktERAR+fn7UrFmTCxcuWI+XLl0ad3d3Dh06pMSRiIhIIRMZGcnUqVM5ePAgANWrV6dfv345/m1tTq/v3bs358+fz/IeCxcuxN3dPRdP4XhyO+437NixgzFjxrBixYosz1+4cIGpU6eyZ88eUlJSqFixIs899xzVq1fP9TM4ooIad73f0997c+fO5dChQ8TExODk5MR9993H008/TcOGDfO9/9t9jf79XihbtizHjx+nefPmDB48OMf9NG7c2Po6ODiYOXPm5Et8d/tebdy4MVFRUfz444/s2rWL+Ph4unTpwvTp0/Hw8Lije92pgnzGG+7kayD2q9Aljpo3b84PP/xARESENXEUERGBh4cH9evXB2DRokV8/fXX+Pn50bRpU8qWLYuXlxezZ88mKSkpz2KJiooiLi6OXr16ZXn+6tWredaXiIiI2L9Lly4xdOhQypQpw6BBg4D0f5cMHz6cyZMnU7Ro0Ty9vk6dOnTq1CnTfVxcXPLkeRxFbscdwGQyERkZybfffpttm+TkZIYPH47RaOTll1/G3d2dlStXMnLkSP7v//6PoKCgvHokh1BQ435DYX+/Hz16lB07dtC6dWsqVqxIcnIyy5cvZ+zYsYwfP57atWvnS785+Rr9+71w4cIFvvvuO8xmM8nJyXfd9/Lly62f8fIyPrjz9+oNO3bsYNy4cVSrVo3AwEAqVapEvXr18rVESUE/481y8jVwVNevX+edd96hc+fONGjQwNbh5KtClzgqU6YMlStXZvPmzQwYMIDk5GR27txJ06ZNcXFxIS0tjdmzZxMYGMh///tfPD09rdf++uuveZo4slgslCpViv79+2d5vmTJknnWl4iIiNi/JUuWkJaWxvvvv4+XlxcAdevWpXfv3ixbtozu3bvn6fV+fn759mHRkeR23AH69++f7YyWG8LDwzl79ixTp06lTJkyQHqJghdffJGffvqJN954I/cP40AKatxvKOzv9+rVq/Pdd99lSJQ1aNCALl26sGXLlmzHJikpiUuXLuHv75/pXExMDMWKFcPV1TXbfnPyNbr5vZCcnMwbb7zBE088wa+//kpUVJS13ahRo4iOjs5wrcVioWjRonz++ecZji9dupS9e/cyYcKEW/Z9p/Hd6r2aVXwAJUqU4OOPPyY+Pp5PPvmEjh07UqJECZYvX867776b4TNnVgr6a5CbZ7zZ0qVLOXjwIJ988skt+3ZEa9asYfr06Vy5csXWoRSIQpc4gvTlat988w27d+/m6tWrJCcnW5epXblyhYSEBFq1anXbb+CsFClSBCBHCaaAgAD2799P3bp1VQRbRERE2LNnD7Vq1bL+ox3A09OTkJAQdu/efdsP0rm9vrDKi3EbNWoUKSkprFq1ilWrVmXbT4UKFaxJIwAnJyfq16/Pxo0bc/8gDqagxl3SZTVjxGAwYLFY8PX1zfa6hQsXsnLlSj7++OMMiYuYmBiGDh1Kq1at6NGjR7bX5/R7o1atWjg7OzNixAgqV67MSy+9xMqVK4mNjbW2u7kO7Q1z585l5cqVxMTEWOP7+eef+e2330hMTGTFihV5Ft/t3qtZxXez5cuX4+npiYeHB6tXr2bcuHE5+sxZkF+D3D7jDT///DMbNmxg/Pjxd/W5+m4V1HK8sLAwwsLCMuyYfi8z2joAW2jatClGo5GIiAhrnaGQkBAAfHx8cHZ25uzZsxmuOX78eKZjWbnxjXz06NEMx3ft2pWp7UMPPURSUhLff/99pnMmkylDdl1ERETufdHR0VnOOPb398/yN7x5cX1KSsqdB3qPye24A1SqVImqVatSokSJu+onNjaWxMTEnAd9Dyiocb+Z3u/pEhMTOXnyJBMmTKBkyZI88cQT2bZ95plnqFixIm+//ba1LuuFCxcYNmwY999/P507d75lXzn93rgxY8XZ2ZkhQ4ZgMBgwGo1cu3btlve/Ob5z584xadIkduzYwbVr16hUqVKexZfb9yqk19FNTk7ml19+ISYmhp49e9K7d29+/vnnW15XUF+DvHjGtLQ0Jk2axB9//MFHH31EsWLFcnxtbphMJg4ePJij5Xgmk4lBgwYxaNAgTCYTw4cP5/LlywUSp6MqlNNcbiSKtm7dSmpqKu3atcPJyQlI/61Py5YtWbVqFRMnTqRChQqcOnWKtWvXYrFYKF68+G3vHRoayrp16/D29qZUqVLs27cvy8RRq1at2LhxIz/99BOHDh2idu3auLm58b///Y+tW7fy3HPPFbq17iIiIoWZyWTCzc0t03F3d3dMJlOeX7927VrWrl1LkSJF8Pf3JywsjI4dOxa6mdC5Hfc76ScwMDDLfm4Vx72qoMb9Br3f06WlpdGhQwcA7r//fsaOHYu3t3e27W/MAvrggw94++23GTp0KBMmTKBChQqMGDHCuuIiN0wmE4cOHSIhIYGJEydal9MZjUZSU1Nvee2/47tR+LtIkSKcPn2a/v378+abb1K1atVcxZcX79WoqChMJhPe3t64urri5+eHyWRi2rRppKSk0K1btxw9Y359DfLiGS9evMjSpUspU6YMAwcOtB7P7dfgdmy1HK+wKFw/JW/SvHlz/vjjDyB96drNXnrpJYxGI5s2bWLTpk1UrlyZUaNGMX/+fC5evHjbew8ZMoSvvvrKmmyqU6cOX375Ja+88kqGdk5OTrz33nssWrSI9evX8+OPP+Ls7EyZMmV46qmn7vkCWyIiIpKZ0Zh5Qvid7O6a0+t79eqFt7c3Hh4eJCQksHPnTmbMmEFUVBRvvvnmnQV9D8jtuOfUjV9WZtWPwWDI8/7sXUGNu97v/3BycmLixIlcuXKF8PBwBgwYwDvvvEO9evWyveZG4mLcuHEMGjSIBx98MM8SFpD+NT958iT//e9/8fDwsBbEvvFeSE5OxtnZOcv3y7/ji4mJoU6dOowaNSrP4oO8ea9ev36dHj168Oyzz2Y4/uGHH7Jw4UI6d+6c5c8IyP+vAeTNM/r7+2e7TCw/2WI5XmFSaBNHrVq1olWrVlmec3Nz47XXXuO1117LcDyravBZfVP4+fnxzjvv5Kits7MznTp1ynKHBxERESlcPD09s6yTeP369RzViLiT6x999NEMf2/YsCEWi4XVq1fTv3//QjXzJbfjfif9ZLUc7fr16wD5vhW3vSmocQe93//txsyPBg0aMGDAACZPnsy0adNuec3Vq1c5e/YsXl5enDt3jqtXr+Ln55cn8bi4uJCYmJjtpkFPPfUUo0aN4qGHHrJJfHn1XnV1dc3yPrVq1WLDhg1cvnz5ljE7wjPaSqVKlQDYvXt3tm2io6OpXLlypuP+/v7WmkeStUJZ40hERETEHgUGBnLq1KlMx0+dOpXlEqe8vr58+fKkpaXdtqbIvSa345YX/RQvXrzQJS8KatyzU1jf7/9WunTp2y7xiY+P5+2336ZUqVLMmDGDUqVK8fbbbxMXF5cnMZQtW5YqVaowceLEDH+cnZ3x8vJi4sSJ1KxZ02bx5dV7tXTp0lkugUpISAC45c5ojvKM9iwvl8eGh4fz+uuvc+zYMb755huGDBmSV2HaJSWOREREROxEaGgoBw4csH6IgPQPFAcPHqROnToZ2p45c4bTp0/f1fUmkynL5Qe7du2iePHit9xh6V6U23G/k35Onz7NmTNnrMdSU1P5/fffM/VTGBTUuOv9ni6rkhvXr1/nr7/+4r777sv2ukuXLvH2229TokQJRo8ejaenJ6NHj6Z48eJ5lrioV68ekZGRlC1blqpVq1K1alXKli1LamoqpUqVomrVqtnWYSqI+O7kvXorDz74ILt27cq06dKOHTsIDg7OdmaPIz2jvcur5bHNmjXjiy++YOHChUybNo1PPvkkL8KzW4V2qZqIiIiIvWnXrh1Lly5lzJgxtG/fHoBFixbh5uZG27ZtM7QdPnw458+fz7AUPqfXb9myhR9//JGWLVty3333kZSURHh4OLt27WLkyJGFrtZObscd0rd4Tk1NJT4+HkjfkRegVKlS1g+8zZo1Y968eYwdO5YuXbrg7u7OqlWruHz5Mk8//XQ+P6X9Kahx1/s93VdffcXly5dp2rQpAQEBxMXFsWTJEuLj4xk+fHi21/3222/4+voyZswYa9FqFxcX3n33XUaPHs26detuWXYjJ1+j7N4LBoPhtpsF2TK+rN6rt9KhQwd+++03hgwZQrdu3fDx8SEiIoLDhw8zfvz4e+IZ7ZmjL8ezJYMlP6rPiYiIiMhdOXHiBFOnTuXQoUMYDAaqVavGCy+8QPny5TO06927d5YfpHNy/enTp5k/fz5//fUXsbGxQHp9iJ49exISEpL/D2mHcjvuN47/25tvvklYWJj17zExMUydOpU//viD1NRUKlasSN++falRo0b+PJidK4hx1/s93fbt21m1ahWRkZHExsbi5eVFhQoV6NKly23ff8nJydaERU6O3yyn3xtZvRdOnDhBnTp1GDx4sF3Gl9V79Xbi4uL49ttv2blzJ8nJyVSuXJm+fftSrVq1W17nSM9oSz/88AOzZ8/Osr7wm2++iaenZ6bi1yNGjCApKYnPPvusoMJ0OEociYiIiIiIiIjDu1Xi6Pvvv2fRokV8//331p3VEhISePbZZ3nmmWfo0aNHQYfrMLRUTUREREREREQclpbj5S/NOBIRERERERERh1WYluPZghJHIiIiIiIiIiKSpcx70YmIiIiIiIiIiKDEkYiIiIiIiIiIZEOJIxERERERERERyZISRyIiIiIiIiIikiUljkREREREREREJEtKHImIiIiIiIiISJaUOBIRERERERERkSwpcSQiIiIiIiIiIllS4khERERERERERLLkbOsARERERERE5N5hMplYsmQJW7ZsITo6GrPZTKlSpbj//vtp0qQJDRo0wGjMnzkMV69eZfHixYSEhBASEpIvfYgUNkociYiIiIiISJ44efIkY8aM4cKFCzRs2JAmTZpgNBqJiopi27ZthIeH8/LLL/PUU0/lS/9Xr15l9uzZAEocieQRJY5EREREREQk165fv867777L5cuXGT9+PKGhoRnOv/TSS/z8888YDAbbBCgid8VgsVgstg5CREREREREHNsvv/zCN998w4svvkiHDh2ybZeWloaTkxOQnmyaO3cuGzZsIDY2lqJFi9KkSRN69+6Nq6ur9ZrWrVvTvHlzHn74YX788UdOnDiBr68vjz/+OJ07d8ZoNBITE0OfPn0y9VeqVClmzpx52/hXr17N0qVLOXXqFO7u7lSoUIGWLVvSokWLOx8MkXuIZhyJiIiIiIhIrm3ZsgUnJycee+yxW7a7kTRKTk5m+PDhHD9+nLCwMIKCgoiOjmbJkiVER0czduzYDNdt3LiR7du3ExYWxsMPP8yWLVuYOXMmxYsXJywsDG9vb3r27MmsWbOoX78+9evXB8Dd3f22sU+ZMoXFixdTo0YNunXrRmpqKtu2beOrr75S4kgKPSWOREREREREJNciIyMJCgrCw8MjR+0XLVrE0aNH+eijj6hZs6b1eJUqVZg4cSJHjx4lODjYerxs2bKMHTuWkiVLAvDkk0/SvXt31q1bR1hYGB4eHjRr1oxZs2YRHBxM27ZtcxTHgQMHWLx4MWFhYbzxxhvWpXQ9evRg27ZtOX18kXtW/pSyFxERERERkULl2rVreHp65rh9REQElSpVIiAggAsXLlj/VK5cGYBDhw5laH/fffdZk0YALi4ulC5dmpiYmFzFvWHDBgCeffbZTPWXGjZsmKt7i9wLNONIREREREREcs3Dw4Nr167luH10dDRJSUn06tUry/NXr1697T3c3NyIj4/PcZ9ZOXPmDO7u7pQqVSpX9xG5VylxJCIiIiIiIrlWtmxZDh8+jMlkytHMI7PZzAMPPEC3bt2yPB8YGHjbe+TFDm3aL0rk1pQ4EhERERERkVxr0KABBw8eZMWKFXTq1Om27QMCAkhISKBBgwZ5FoPRmF6NxWw25/gaf39/du/ezfnz5zXrSCQLqnEkIiIiIiIiudamTRt8fX2ZNWsWu3fvznQ+LS2NJUuWEBERAcBDDz1EdHQ0y5Yty9Q2Pj6e8+fP33EMfn5+GAwGoqKicnxNo0aNAJgzZ06mc3v37r3jGETuNZpxJCIiIiIiIrnm5eXFmDFjGD16NKNGjaJevXrUrFkTZ2dnzp07x44dOzh37hxDhgwBoHPnzmzfvp3/+7//Y8eOHVSvXh2j0ciRI0fYvn07o0aNuuMZQC4uLlSvXp1NmzYxadIkSpYsSWJiYrZ1lADq1atHkyZNWLVqFWfPnqVu3bqkpKSwY8cOLl26xMyZM3M1LiKOTokjERERERERyRMPPPAAkydP5pdffmHXrl3Mnj0bs9lMiRIlCAkJ4bXXXqN27dpAejHtiRMn8tNPP7Fp0yb27NmDu7s7gYGB9OjRgwceeOCuYhg8eDCTJk1i3bp1WCwW6tWrd9trhg4dSnBwMGvXruWHH37Aw8ODihUr0rlz57uKQeReYrCoEpiIiIiIiIiIiGRBNY5ERERERERERCRLShyJiIiIiIiIiEiWlDgSEREREREREZEsKXEkIiIiIiIiIiJZUuJIRERERERERESypMSRiIiIiIiIiIhkSYkjERERERERERHJkhJHIiIiIiIiIiKSJSWOREREREREREQkS0ociYiIiIiIiIhIlpQ4EhERERERERGRLClxJCIiIiIiIiIiWVLiSEREREREREREsvT/AuWZzOjvoDIAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pagerank centrality\n", "cent = ...\n", "cent = cent.values()\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": null, "id": "2aaf52f2", "metadata": {}, "outputs": [], "source": [ "\n", "#- Katz\n", "#- HITS" ] }, { "cell_type": "markdown", "id": "451bea61", "metadata": {}, "source": [ "# Exercise 5\n", "Using the Twitter dataset\n", "- If you would have to spread some super important news (it always gets shared) as quickly as possible, which nodes would you choose?\n", "- If you would want to make the network disconnected, which nodes would you remove?\n", "- If you would want to understand which node is most respected (measured by mentions) in the network, which nodes would you choose?\n", "- If you would have to spread some fake news (it gets shared sometimes but not alwasy), which nodes would you choose?\n", "\n", "Find the top 10 nodes for each measure" ] }, { "cell_type": "code", "execution_count": 29, "id": "dcbf609e", "metadata": {}, "outputs": [], "source": [ "# Read edgelist\n", "df = pd.read_csv(f\"{path_data}/ic2s2_netsci_3.tsv\", sep=\"\\t\")\n", "\n", "# Convert to networkx\n", "Gt = nx.from_pandas_edgelist(df)\n", "Gt.remove_edges_from(nx.selfloop_edges(Gt)) #remove self-edges\n" ] }, { "cell_type": "code", "execution_count": 30, "id": "c8599c54", "metadata": {}, "outputs": [], "source": [ "def extract_top_10(d_centrality):\n", " return pd.DataFrame.from_dict(d_centrality, orient=\"index\").sort_values(by=0, ascending=False).head(10)\n", "\n", "#e.g. extract_top_10(nx.degree_centrality(Gt))" ] }, { "cell_type": "markdown", "id": "ed90fe8b", "metadata": {}, "source": [ "# Exercise 6: Eigenvector (even more advanced)\n", "\n", "Let's calculate eigenvector and pagerank centrality using the power method\n", "\n" ] }, { "cell_type": "markdown", "id": "d8bf7528", "metadata": {}, "source": [ "## 6.1 Eigenvector\n", "\n", "For eigenvector centrality, each node has an influence of 1, that it is distributed to the neighbors. This process is done many times, until it converges." ] }, { "cell_type": "code", "execution_count": 32, "id": "7e83dbb5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['Alice', 'Bob', 'John', 'Amy', 'Mike', 'Rose']\n", "[0.48666426 0.32444284 0.64888568 0.16222142 0.32444284 0.32444284]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/hx/nz98f65j615c4ygz7xt694700000gp/T/ipykernel_81311/2527873051.py:11: MatplotlibDeprecationWarning: Unable to determine Axes to steal space for Colorbar. Using gca(), but will raise in the future. Either provide the *cax* argument to use as the Axes for the Colorbar, provide the *ax* argument to steal space from it, or add *mappable* to an Axes.\n", " cb = plt.colorbar(mapper, ax = a0, location=\"bottom\", shrink=0.8, pad = 0.02, label = \"Value\")\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "['Alice', 'Bob', 'John', 'Amy', 'Mike', 'Rose']\n", "[0.48365083 0.38692067 0.60456354 0.19346033 0.31437304 0.33855558]\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "['Alice', 'Bob', 'John', 'Amy', 'Mike', 'Rose']\n", "[0.483843 0.40141049 0.58777964 0.20428927 0.322562 0.33689809]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[('Alice', 0.49816568565363206), ('Bob', 0.40845488054415907), ('John', 0.5634381194270055), ('Amy', 0.21678431148030036), ('Mike', 0.3410115867353848), ('Rose', 0.3228756816201712)]\n" ] }, { "data": { "text/plain": [ "{'Alice': 0.49816562620567956,\n", " 'Bob': 0.4084543148167931,\n", " 'John': 0.563437771403002,\n", " 'Amy': 0.21678389847563684,\n", " 'Mike': 0.3410123357350908,\n", " 'Rose': 0.32287658256564244}" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Eigenvector centrality, manually\n", "N = len(G_dir)\n", "A = nx.to_numpy_array(G_undir)\n", "\n", "# Start with everybody having 1 unit of influence\n", "weight = np.ones(N)\n", "for i in range(100):\n", " # spread influence to neighbors \n", " weight = weight @ A\n", "\n", " # normalize uwing the geometrical mean\n", " weight = weight / np.sqrt(np.sum(weight**2))\n", " \n", " if i < 5:\n", " print(G_undir.nodes())\n", " print(weight)\n", "\n", " plot_network(G_undir, None, values = weight)\n", " plt.show()\n", "\n", "# Compare with the results of networkx\n", "print(list(zip(G_undir.nodes(), weight)))\n", "nx.eigenvector_centrality(G_undir)" ] }, { "cell_type": "markdown", "id": "9849d6c9", "metadata": {}, "source": [ "## 6.2 Pagerank\n", "For pagerank centrality, we start with 1 random walker distributed over all nodes, from there, it gets distributed to the neighbors (1/k of the random walker go to each of the k neighbors). This process is done many times, until it converges." ] }, { "cell_type": "code", "execution_count": 33, "id": "74f5b2e5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[('Alice', 0.31535471331389314), ('Bob', 0.2930515063168089), ('John', 0.3059687803692869), ('Amy', 0.024999999999999696), ('Mike', 0.024999999999999696), ('Rose', 0.03562499999999957)]\n" ] }, { "data": { "text/plain": [ "{'Alice': 0.3153534818017285,\n", " 'Bob': 0.293052806246324,\n", " 'John': 0.3059687119519481,\n", " 'Amy': 0.025,\n", " 'Mike': 0.025,\n", " 'Rose': 0.035625000000000004}" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# PAgerank centrality, manually\n", "N = len(G_dir)\n", "A = nx.to_numpy_array(G_dir)\n", "\n", "## Calculate transition matrix (Row normalize matrix)\n", "# construct diagonal inverse degree matrix\n", "degree = A.sum(1)\n", "D = np.diag(1./degree, 0)\n", "A_hat = (D @ A)\n", "\n", "# random walkers are spread out evenly\n", "weight = np.ones(N)/N\n", "\n", "for i in range(1000):\n", " # calculate where random walkers go next\n", " weight = weight @ (0.85*A_hat + 0.15/N)\n", "\n", "# Compare results with networkx\n", "print(list(zip(G_dir.nodes(), weight)))\n", "nx.pagerank(G_dir)" ] }, { "cell_type": "markdown", "id": "0dbfd98f", "metadata": {}, "source": [ "## 6.3 Infinite random walker\n", "\n", "A random walker ends up a fraction of time in each node proportional to the degree of the node" ] }, { "cell_type": "code", "execution_count": 34, "id": "55acfe29", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[('Alice', 0.6000000000000002), ('Bob', 0.4000000000000001), ('John', 0.8), ('Amy', 0.20000000000000004), ('Mike', 0.4000000000000001), ('Rose', 0.39999999999999997)]\n" ] }, { "data": { "text/plain": [ "{'Alice': 0.6000000000000001,\n", " 'Bob': 0.4,\n", " 'John': 0.8,\n", " 'Amy': 0.2,\n", " 'Mike': 0.4,\n", " 'Rose': 0.4}" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "N = len(G_undir)\n", "A = nx.to_numpy_array(G_undir)\n", "\n", "## construct transition matrix (row normalised adjacency matrix)\n", "# construct diagonal inverse degree matrix\n", "degree = A.sum(1)\n", "D = np.diag(1./degree, 0)\n", "A_hat = (D @ A)\n", "\n", "# it does not matter where the walker starts\n", "weight = np.ones(N)/N\n", "\n", "for i in range(1000):\n", " # calculate power\n", " weight = weight @ (A_hat)\n", " \n", " \n", "# Compare to networkx\n", "norm = max(nx.degree_centrality(G_undir).values())/max(weight)\n", "print(list(zip(G_undir.nodes(), weight*norm)))\n", "nx.degree_centrality(G_undir)" ] }, { "cell_type": "code", "execution_count": null, "id": "91f5de7c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b138add8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "fd1b7a76", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "1f550d24", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:networks]", "language": "python", "name": "conda-env-networks-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }