{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"2022-01-21-graph-benchmarks.ipynb","provenance":[{"file_id":"https://github.com/recohut/nbs/blob/main/raw/T118630%20%7C%20Graph%20Benchmarks.ipynb","timestamp":1644657837849},{"file_id":"1wqPq1fLY0e0f_4stYE6RGxJV8BNxgDU4","timestamp":1627817253118}],"collapsed_sections":[],"authorship_tag":"ABX9TyOTjYIDHMT/kHQli0mBf7hJ"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","metadata":{"id":"RM6T-V-CXh15"},"source":["# Graph Benchmarks"]},{"cell_type":"markdown","metadata":{"id":"BtEbCBdDXk5y"},"source":["## Imports"]},{"cell_type":"code","metadata":{"id":"Ibl3FvPNU1hl"},"source":["import os\n","import numpy as np\n","import pandas as pd\n","import networkx as nx\n","from scipy.io import mmread\n","import matplotlib.pyplot as plt\n","from collections import Counter\n","\n","%matplotlib inline"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"3LMCNe6pU1ho"},"source":["default_edge_color = 'gray'\n","default_node_color = '#407cc9'\n","enhanced_node_color = '#f5b042'\n","enhanced_edge_color = '#cc2f04'"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"-FUxgKBoU1hr"},"source":["output_dir = \"/content\""],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"a7Qy8NcsXmbE"},"source":["## Plot utils"]},{"cell_type":"code","metadata":{"id":"qVU7t30aU1hw"},"source":["def draw_graph(G, node_names={}, filename=None, node_size=50, layout = None):\n"," pos_nodes = nx.spring_layout(G) if layout is None else layout(G)\n"," nx.draw(G, pos_nodes, with_labels=False, node_size=node_size, edge_color='gray')\n"," \n"," pos_attrs = {}\n"," for node, coords in pos_nodes.items():\n"," pos_attrs[node] = (coords[0], coords[1] + 0.08)\n"," \n"," nx.draw_networkx_labels(G, pos_attrs, labels=node_names, font_family='serif')\n"," \n"," plt.axis('off')\n"," axis = plt.gca()\n"," axis.set_xlim([1.2*x for x in axis.get_xlim()])\n"," axis.set_ylim([1.2*y for y in axis.get_ylim()])\n"," \n"," if filename:\n"," plt.savefig(os.path.join(output_dir, filename), format=\"png\")\n","\n","\n","# draw enhanced path on the graph\n","def draw_enhanced_path(G, path_to_enhance, node_names={}, filename=None, layout=None):\n"," path_edges = list(zip(path,path[1:]))\n"," pos_nodes = nx.spring_layout(G) if layout is None else layout(G)\n"," \n"," plt.figure(figsize=(5,5),dpi=300)\n"," pos_nodes = nx.spring_layout(G)\n"," nx.draw(G, pos_nodes, with_labels=False, node_size=50, edge_color='gray')\n"," \n"," pos_attrs = {}\n"," for node, coords in pos_nodes.items():\n"," pos_attrs[node] = (coords[0], coords[1] + 0.08)\n"," \n"," nx.draw_networkx_labels(G, pos_attrs, labels=node_names, font_family='serif')\n"," nx.draw_networkx_edges(G,pos_nodes,edgelist=path_edges, edge_color='#cc2f04', style='dashed', width=2.0)\n"," \n"," plt.axis('off')\n"," axis = plt.gca()\n"," axis.set_xlim([1.2*x for x in axis.get_xlim()])\n"," axis.set_ylim([1.2*y for y in axis.get_ylim()])\n"," \n"," if filename:\n"," plt.savefig(os.path.join(output_dir, filename), format=\"png\")"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"ZRkLtH4FU1h-"},"source":["def get_random_node(graph):\n"," return np.random.choice(graph.nodes)"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"918kmpoZU1hz"},"source":["## Simple Example of Graphs"]},{"cell_type":"code","metadata":{"id":"qz8ECwk-U1h5"},"source":["complete = nx.complete_graph(n=7)\n","lollipop = nx.lollipop_graph(m=7, n=3)\n","barbell = nx.barbell_graph(m1=7, m2=4)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"q3iT45sLU1h7","colab":{"base_uri":"https://localhost:8080/","height":373},"executionInfo":{"status":"ok","timestamp":1627816015882,"user_tz":-330,"elapsed":1608,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"1df1b68a-5b1e-4bf6-c3fe-d1be0b93c5b4"},"source":["plt.figure(figsize=(15,6))\n","plt.subplot(1,3,1)\n","draw_graph(complete)\n","plt.title(\"Complete\")\n","plt.subplot(1,3,2)\n","plt.title(\"Lollipop\")\n","draw_graph(lollipop)\n","plt.subplot(1,3,3)\n","plt.title(\"Barbell\")\n","draw_graph(barbell)\n","plt.savefig(os.path.join(output_dir, \"SimpleGraphs.png\"))"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"MDk1YEG1U1iA"},"source":["## We compose simple graphs into one"]},{"cell_type":"code","metadata":{"id":"KBGlkHcyU1h9"},"source":["complete = nx.relabel_nodes(nx.complete_graph(n=7), lambda x: x + 0)\n","lollipop = nx.relabel_nodes(nx.lollipop_graph(m=7, n=3), lambda x: x+100)\n","barbell = nx.relabel_nodes(nx.barbell_graph(m1=7, m2=4), lambda x: x+200)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"OwjPZhK8U1iA"},"source":["allGraphs = nx.compose_all([complete, barbell, lollipop])\n","allGraphs.add_edge(get_random_node(lollipop), get_random_node(lollipop))\n","allGraphs.add_edge(get_random_node(complete), get_random_node(barbell))"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"qbD73FUnU1iB","colab":{"base_uri":"https://localhost:8080/","height":319},"executionInfo":{"status":"ok","timestamp":1627816060887,"user_tz":-330,"elapsed":10,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"4bb3251e-3568-4795-8e21-e1f9056a497d"},"source":["draw_graph(allGraphs, layout=nx.kamada_kawai_layout)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"uNDdxRXRU1iC"},"source":["## Model Barabasi Albert"]},{"cell_type":"markdown","metadata":{"id":"N2N_mjEcU1iD"},"source":["In the following we create and analyse some simple graph generated by the Barabasi-Albert model "]},{"cell_type":"code","metadata":{"id":"7_TxzV_LU1iD"},"source":["BA_graph_small = nx.extended_barabasi_albert_graph(n=20,m=1,p=0,q=0)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"-6ieH5TjU1iE","colab":{"base_uri":"https://localhost:8080/","height":319},"executionInfo":{"status":"ok","timestamp":1627816075633,"user_tz":-330,"elapsed":12,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"0e934726-634c-4438-a15c-3f3be31bc5fd"},"source":["draw_graph(BA_graph_small, layout=nx.circular_layout)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAb4AAAEuCAYAAADx63eqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdaVjTZ7438G9IwpKEfQmQkIDsBBRkX4Ja992qdQNb7bROZ07bOZ1znZ7rXM+LZ67neXGe6cy5Zq46naWdaa0CIoorKtYFWUQURUQDgqCy7zsEAkn+zwtPMkT2kA1zf97YmpDcEcg39/2/79+PRlEUBYIgCIIwExbGHgBBEARBGBIJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzAoJPoIgCMKskOAjCIIgzArD2AMgCHMzJJMjp6IFr7qG4e3CxpalnuBYkV9FgjAUGkVRlLEHQRDmovRVDw4duw+KAqRjCrAs6aDRgGOHYhDt7WTs4RGEWSDBRxAGMiSTI/a/bmBYpph0G9uKjvv/uQZsMvMjCL0j1/gIwkAuPGqCQqGc8jaKAnIqWgw8IoIwT+TjJUHoAUVR6O3tRVNTE5qamtDc3IycRjpG5dwp7y8dU+BV17CBR0kQ5okEH7FomPKmkNHRUTQ3N6tDrqmpCUwmEzweDzweDyKRCKxWJZ5frYZ0bPJSJxNKND17hFp/Jnx9fUGj0YzwKubPlL8nBDEdco2PWBRMaVOIUqlEe3u7RtD19/fD09MTPB4PfD4fPB4PdnZ2Gl830zU+Jk2J7za5oLLiERgMBpKTkxEYGGjSAWhK3xOCmA8SfITJM/amkIGBAY2ZXGtrK+zt7dUBx+fz4ebmBguL2S+ZvxkWVhYAQOF/JTqi69k9HDhwAL29vSgsLIRCoYBYLEZISMicHtuQjP09IYiFID+ZhMnLqWjBdB/PVJtC9kYLdPJcY2NjaG1t1Qg6uVyuDrnk5GTweDxYW1tr9fjR3k64/59rXi8PdkvhactAfeE5bE88gkaBPdLS0rBnzx58/PHHqK2tRUFBAfLy8iAWixEWFgY6na6T17lQhvyeEISukeAjTN6rruEpr4sB/7MppFuq1eNSFIXu7m6NDShdXV3gcrng8XgICgrCmjVr4OjoqNMlR7YVQyMUrkvDcefOHWzatAk2NjY4deoUtm/fjoCAAPj5+eHVq1coLCzE7du3kZSUhPDwcDAYxv3V1df3hCAMgQQfYfK8XdhgWdKnfKNlQImXFfeRb9MOkUgEFxeXaR9HKpVqXJdrbm6GtbW1ejYXHh4Od3d3g4dKfHw8vvnmG4jFYvj6+mL//v3IzMzE2rVrsWzZMvj4+MDHxweNjY0oLCxEQUEBEhISEBkZCSaTadCxqsz0PWFZ0uHtzDLCqAhibsg1PsLkzXY9KftgIF7WPENlZSXYbDZEIhGCg4Mhk8k0liylUumkDSgcDscIr2iy3Nxc0Gg0rF+/HgDQ2dmJtLQ0xMXFIT4+XuO+ra2tKCwsRENDA+Li4hAdHQ0rKyuDjnem7wmLaYHS/7WWXOMjTBYJPmJRmGkHYZTQEf39/WhsbERVVRUaGhowPDwMBoMBLpeL4OBg+Pv7w8XFxeQ2iagMDAzgL3/5Cz799FOw2WwAQH9/P06cOIHg4GC88847k5ZbOzo6UFRUhLq6OkRHRyM2NhY2NjYGG/NU3xNQFNZb1+GTXWsRGBhosLEQxHyQ4CMWjeH/OTNW1z4AO/oYAq2H0N3egqamJtBoNPUsjsfjwd3dHS0tLZBIJHj27BmcnZ0hEokgEolga2tr7JcypZycHFhbW2PNmjXqvxseHkZGRgbc3d2xefPmKYO7u7sbRUVFqK6uxvLlyxEfH68OT31TfU9edUvh7czClqWe6OtqR2ZmJlavXo3w8HCDjIMg5oMEH2HSlEolOjs7Na7N9fb2wt3dXb1kyefzYWdnN+0GFIVCgRcvXkAikaC6uhpcLhcikQghISEGC4i56Ovrw7fffovPPvtMY+Ymk8lw6tQpWFtbY+fOndNeg+zr68OdO3fw9OlTLFu2DAkJCZPOEhpKV1cX0tLSEB0djcTERKOMgSCmQ4KPMClDQ0Ma1+VaWlrA4XA0zsxxuVytt/XL5XLU1tZCIpHg+fPn8PT0VF8TZLGMvyHjwoULsLOzw6pVqzT+Xi6X49y5c5BKpdi3b9+M1/QGBwdRXFyM8vJyiEQiJCYmwtHRUd9Dn2RgYAAnTpxAQEAA1qxZY9KH8QnzQoKPMBq5XD7pzJxMJtPYfMLj8fQWSOPj43j+/DkkEgnq6urg5eUFkUiEoKAgrc/pLVRPTw/+/ve/4/PPP580BqVSiStXrqClpQUpKSmzzlaHh4dRUlKChw8fIiAgAElJSTPuetUHqVSKjIwMuLq6YuvWrSZ7jZUwLyT4CIOYqmhzZ2cnXFxcNILO2dnZKDODsbExVFdXo7KyEi9fvoRQKIRIJEJgYKDBd0yePXsWrq6uEIvFk26jKAq3b9/G06dPcfDgQTg4OMz6eCMjI7h//z7u378PHx8fiMVicLlTF8vWh7GxMWRlZYHBYGDXrl1GO4JBECok+Ai9GBkZUZ+Vm1i0eeKSpYeHh0m+CY6OjqK6uhoSiQQNDQ1YsmQJQkJCEBAQAEtLS70/f2dnJ3788Ud8/vnn0z7fvXv3UFxcjJSUFLi5uc3pcWUyGR48eICSkhLweDyIxWLweDxdDn1aCoUC58+fx+DgIPbt22e0GTVBACT4CB1QFW2euGQ5ODgIDw8PjaAz1d2UMxkZGcGzZ88gkUjQ1NQEPz8/iEQi+Pn56TW0T58+DR6Ph4SEhGnv8+TJE1y7dg179+6Fl5fXnB97fHwcZWVlKC4uhqurK5KTkyEQ6L+8GEVRuHr1KhobG5GSkmIyZygJ80OCj5g3VdFmVdC1trbCwcFBY8lyrkWbF5Ph4WFUVVVBIpGgra0N/v7+EIlE8PX11Xm1l/b2dqSlpeHzzz+fMWCfP3+O8+fPY8eOHfD395/Xc8jlcjx+/BhFRUWwt7dHcnIyfHx89LrUTFEU8vPzUVFRgYMHDxpl0w1BkOAzQ/PpoTZV0WaFQqExk/P09DS7pauhoSFUVlZCIpGgo6MDQUFBEIlE8PHx0Vkh6czMTPj4+CA2NnbG+zU2NuLUqVNYv349wsLC5v08SqUST548QVFREaysrJCcnAx/f3+9BmBpaSkKCwuRkpJi0OuNAOkhSJDgMzuzVUDp6urSODPX3d0NNzc3jTNzDg4OZGv6BAMDA5BIJJBIJOjt7VWHoLe394JmvS0tLTh16hQ+++yzWWeUHR0dSE9PR0JCwqxBOR2lUomqqioUFhYCAJKTkxEcHKy37/XTp0+Rm5uLPXv2GGSpFSA9BInXSPCZkZnqK1paKPG+7TPYsaw0liyNUbR5Mevr61OH4MDAAIKDgxEaGgqBQKBVgKSnpyMwMBBRUVFzeu4TJ04gNDQUK1eu1DqwKIpCTU0NCgsLIZPJIBaLERoaqpel67q6Opw9e1bdjUKfSA9BQoX+m9/85jfGHgRhGGcfNSG/phPjismfdZh0C2x5JwlH3tuIkJAQdTWUt+06nb5ZW1tDIBAgMjISQUFB6O/vx927d1FYWIj+/n5YWVnNWGXmTY6Ojvjpp58QHR096/fC2toaoaGhuH37Ntra2uDn56dV+NFoNLi4uCAiIgLOzs64d+8eCgsLwWQydX7t1snJCUKhENnZ2WCz2XB3d9fZY79ptp9/T3trhPLs9fb8hOkgwWdGcipacPdFz5S3yZVAkKcDkvwMe8D5bWZjYwOhUIioqCj4+fmht7cXRUVFKC4uxsDAAGxsbMDhcGYMJ3t7e1RXV4NGo80pFCwtLREaGorS0lLU1tYiMDBQ66Ci0WhwcnJSt2t6+PAh8vLyQKfT4ebmprNrmXZ2dvD398eFCxcAYF47VOdjpp//cQUFfzdb8vNvJkjwmZGmvhEU13VP+YmXZUnHjnBP8olXT9hsNry9vREdHY0lS5agu7sb+fn5uHfvHoaGhsBiscBms6cMQXt7e9y4cQPR0dFzmsExGAyEhoaiqqoK5eXlCAoKWvBytYODA5YuXQqBQIDHjx/jxo0bALCg8nETsdlshISE4Nq1axgYGNDL7tKZfv6tGTS8G8EjP/9mglzjMyPkGodpoSgKbW1tePr0KSQSCRgMBkQiEUJDQ+Hq6qpxvx9++AHR0dHz2rWpVCqRk5OD9vZ2pKSk6LT0W1tbG4qKivDy5UvExsYiJiZGJzt7pVIp0tPTweVysWXLFp0uq87088+EAid2eSEuKkJnz0eYLjLjMyOWDAvEeDvhytNWMOkWGFdQYFnSYcmwwLFDMfB2MZ1OBeaARqPB1tYWvr6+iI2NBY/HQ1tbG27cuIHy8nJIpVLY2tqCxWLB1tYWeXl5iIqKmvNMiEajISAgAH19fbh+/ToCAwN1duyEw+EgJCQEgYGBqK6uxpUrVyCTycDlchd0sJ/JZCI0NBRlZWWorq5GUFCQzsJvqp9/Jk0JGysGju4ORln+NQD6W2olTAeZ8ZmhqXqokZme6aAoCo2NjXj69CmqqqrUISORSJCcnIyQkJB5P+bdu3dRUlKC1NRUjdmkrqiuX1ZWViIiIgLx8fELqtQzn24U86X6+X/ZNYyq0gL8/vP9cHWwQ39/P9LS0hAUFDRl41/i7UGCjyBMmFKpRH19PSQSCZ48eQKlUomVK1ciNDQU9vbzux71+PFjXL9+Hfv27QOfz9fLeAcGBnDnzh1UVFQgLCwMiYmJ8x6nyny7UWgjLS0NUVFRCAoKAvDPpdaZGv8Six8JPoJYJBQKBb755hs4ODigra0NLi4u6oa6c51d1dTU4MKFC9i5cyd8fX31NtahoSHcvXsXZWVlCA4ORlJSEpyc5n9AXJtuFPNRUFCAkZERrF+/Xv13MpkMWVlZsLKymrHxL7F4kWt8BLFIWFhYwNbWFi9fvsQvf/lL2Nra4sWLF8jNzUVtbS3Gx8fh4OAwYwcJZ2dneHl5ITs7G3Z2dnPu7DBflpaW8PX1xfLly9HZ2aneZOPi4jKvmRuNRoOPjw8A4OLFi/D19dX5zK+srAyRkZHq/1dtMnr27Jk6uEn4vV1I8BHEIuLi4oKSkhK4urrC398fwcHBiIuLA4vFQm1tLa5evYqXL19CoVDAwcFhyo0m9vb28PX1xfnz58FgMPTamojJZMLHxweRkZHo6+vD5cuX0dTUBCcnp3ldA+Tz+eBwODh79iy8vLy0Xj59E4fDwfXr1xEbG6txLMPCwgLBwcFobm5GUVERgoKCDNKSijAMEnwEsYjQaDRYW1ujpKQE4eHhoNFosLCwgIuLC0JCQhAbGwsrKytUV1fj6tWrqK+vh1KphIODg8ashcPhICgoCFeuXMHIyAiEQqFeN3MwGAz1Yf7h4WF1QDs4OMw5xLhcLtzc3HDmzBm4ubnB2dl5weOysLDA8+fP4eTkNKlTBI1Gg7+/PwYHB3Ht2jWd7ooljIsEH0EsMq6urrhz5w64XO6ka150Oh2urq4QiUSIiYkBg8FAVVUVcnNz0dTUBIqi1CFoY2MDkUiEvLw8dHR0aF3ibD7odDq8vLwQHR2NsbExXLt2DTU1NbC3t4e9vf2sz+/k5ASBQIDs7GxwOByddHbo7u7G4OAgvL29J902can10qVLellqJQyPBB9BLDI0Gg2WlpYoLS3FsmXLpr0fnU4Hl8tFaGio+vzf06dPce3aNbS0tAB4PYtaunQp7t27h7q6ugWVOJsPCwsL8Hg8REdHAwBu3LgBiUQCW1tbODo6zlrGzc/PDxcuXACNRlvwDlW5XA6JRDLjv6W+lloJ4yDBRxCLkJubG/Lz88Hj8eb0JsxgMODu7o6wsDBERkZCqVSioqIC165dQ1dXF5YuXYrW1lZUVFQgKChIZ3U4Z2NhYQEPDw9ER0eDyWQiLy8P5eXlYLPZcHZ2njYA2Ww2goODkZubi6GhIXh7e2s9W2Wz2fjpp5+QkJAwY+jrY6mVMA4SfASxCFlYWIDBYKCsrAxLly6d19cymUx4eHhg2bJliIiIUHdib2pqglwuV+9k1OWh8dnQaDRwuVxERUWBzWajsLAQpaWlsLGxgYuLy5ShZm1tDZFIhPz8/AV1o2AwGJBIJPD09ISdnd2M99XHUitheCT4CGKRcnNzw61btyAUCrWukmJpaQlPT0+Eh4dj2bJlsLS0xKtXr1BQUICOjg5YWVnB3t7eYAe5aTQaXF1dsXz5cjg4OKC4uBjFxcWwsrKCq6vrpHGoulE8ePAAz58/13qptqOjAzKZbE7lyiYutVpYWOitGAChPyT4CGKRsrCwgIWFBR4/fozQ0NAFP56VlRX4fD7i4+OhUCggkUjQ3NyM/Px89PT0wNLSck4bUHSBRqPB2dkZERERcHNzQ2lpKfLz88FgMCb1BFSdu6uqqsKjR4+06kYhk8nw/PnzOf876nKplTA8EnwEsYhxuVzcuHEDvr6+4HA4OntcHx8fcDgc1NTUYMuWLQCAkpIS3L59G319fQYLQRqNBkdHRyxbtgw8Hg+PHj3CzZs31UujqmuRqnN3jY2NWp27s7a2xs2bN5GQkDDn16SrpVbC8EjwEcQipnrjl0gkWhWvnom7uzucnZ1x6dIlxMTEYM2aNQgMDER/fz+Ki4vVXeWtra1ha2ur9zd9e3t7hIWFwdvbG0+ePMFPP/0EpVIJLpcLBoOh7kYxMDCA69evIyAgYM7n7qysrPDgwYN5H1fQ1VIrYVgk+AhikeNyucjNzUVAQIDOz5i5uLiAz+fjzJkzcHBwgFAohFAoRHR0tLqrfGFhIYqLizE4ODinrvILZWtrC5FIBD8/P/UZxfHxcXVLJB8fHyiVynmfu2trawNFUfD09JzXeHSx1EoYFgk+gljk6HQ6FAoFqqurERwcrPPHd3BwUJc4YzKZ6mB4s6t8Z2cn8vPzcf/+fQwNDYHNZk/bVV4XVNfZgoKC8Pz5c3UVGi6XiyVLloDNZuPs2bMQCASz7tYEXndmqK+v1+rfcOJS6507d0iJMxNHgs8AhmRynH3UhJyKFjT1jcDbhQ1LBlkOIXSHy+Xi6tWrCA4Oho2Njc4fn8PhIDAwEJcvX8bo6KhGiTMajQYOh4MlS5YgJiYGAoEAHR0duHXrFsrKyiCVStUhqA8sFgtBQUEQiUR4+fIlcnJyMDQ0hLCwMPVslcvlztodgslkorCwEHFxcVqNQ7XU2t/fP+/Gv+Q9wrBIWyI9K33Vg0PH7oOiAOmYAixLOmg04NihGER7z79NC0FMJy8vD4ODg9i2bZvenmNwcBDp6ekQCoXYsGHDjLM5iqLQ3NyMp0+forKyUl0iTSQS6fXw9+DgIIqLi1FeXg6RSAQfHx9cvXoV69evR1hY2Izj/f3vf48jR44suDJLSUkJ7t69O6fGv+Q9wvBI8OnRkEyO2P+6gWGZYtJtbCs67v/nGtL5nNCZkZERHD16FEeOHNF537qJRkdHcfLkSdjb22P79u1zqvJCURQaGhogkUhQWVmpvk4nEokmFYfWleHhYZSUlODhw4fw8vJCc3MzkpOTERMTM+3XnDp1CiEhITMG5FxVVFTgp59+mrHxL3mPMA6y1KlHZx81Ib+mE+OKyZ8tLEABI33gsZSgKApMJpPsBiMWhMlkYmRkBC9fvkRAQIDenofBYCA0NBRPnjzBkydP5lTijEajwcHBAf7+/oiLi4OLiwsaGxvx008/oaqqCjKZDPb29jqtFmNpaYklS5YgMjISAwMDaGpqQl1dHfr6+hAQEDDlbHVwcBCtra06+ffjcrlwdXWdcal1pvcIJt0CnvbWCOWRuqC6RoJPj3IqWnD3Rc+UtykowGa8H+ONT3Hv3j3cvHkT9+/fx9OnT/H8+XPU19ejtbUVvb29GB4ehlwuV5epImeFiOlwuVzk5ORg6dKlei05RqfT1dfUSkpKEBwcPGXvv6mozuYFBAQgLi4Ojo6OePnyJa5du4bq6mqMjY3pNAQZDAa8vb0RFRUFiqJw//59lJeXg8/nT9r0QqfTce/ePXXx7IWarfHvTO8R4woK/m62SPJz0clYiH8iS516lFnagP+TUwnp2ORlDJYlHf97Swj2RgsAAEqlEsPDwxgcHMTAwIDGn6r/HhgYgFKphJ2dHWxtbdV/TvxvOzs7cDgcgxUZJkzPtWvXQFEUNmzYoPfnoigK169fR21tLVJTU+e0e3I6CoUCdXV1kEgkqKmpgbu7O0QiEYKDg3W6MWZoaAg//PADBgYGIBAIsGLFCggE//w9/O1vf4t//dd/1ekmofb2dqSnpyMpKUljqXU+7xGE7pDg0yN9rN/LZLIZw3FwcBDDw8OwsbGZNhhVf1pZWZHZ41tocHAQf/7zn/Ev//IvOq3mMpM7d+6gtLQUBw8e1MnGFblcjtraWkgkEjx//hw8Hk8dgroIJLlcjtOnT6OnpwdyuRz29vZITk6Gj48P0tLSEBMTg8DAwAU/z0R9fX04ceIEwsLCsGLFCtBoNHKNz0hI8OnZmzu2rBk00OkWet2xpVQqMTQ0NGtAUhQ1bShOnD2Sa4+Lz+XLl2FpaYm1a9ca7DkfPXqEW7duYf/+/fM+BD6T8fFx1NTUQCKR4MWLFxAIBBCJRAvuiK5UKpGTk4O2tjZERETg/v37sLKygpOTEzgcDtatW6ez16AyPDyMtLQ08Pl8bNy4ERYWFpPeI2yYFpCPj+NP74Vg/XI/nY+BIMFnEMMyOXIqWnCr9An4Dtb49a4VJvEpTiaTTQrGNwNSKpWCxWLNafZImI7+/n787W9/w6effgoWi2Ww53327BkuXbqE3bt3qzuX65JMJlOH4KtXr+Dt7a0OQW0OjFMUhZs3b6K6uhoHDhxAS0sLbt68iaGhIezYsQPBwcE6XxWRyWTIzMwEm83Gu+++Czqdrn6PeNUthbczC0JaNx6U3MHHH39Mfrf0gASfAVVVVaGsrAwpKSnGHsqcqWaP0wWk6k8ajTbjdUdbW1syezSwixcvgsPh4J133jHo87569QqnT5/G5s2bdV4/dKLR0VE8e/YMEokEjY2N8PX1hUgkgr+//5w32qjcvXsX9+7dQ0pKCuzt7fHVV1/Bzc0N4+PjEIvFCA0N1enPrlwuR3Z2NsbGxrB3794pQ/vSpUuQyWTYtWsXuSShYyT4DGh4eBhHjx7Fl19++VYFAEVRc5o9joyMgM1mTxmQE0OSlHrSjd7eXnz33Xf4/PPPF7QkqI3W1lZkZGRg5cqViIyM1PvzSaVSdQg2NzfD399fXc9zrnUzHz9+jOvXr2P//v3Izc3FqlWrAAAFBQUYGBhAUlISli1bprONY6ql1o6ODhw4cGDSzFwul+Mf//gHwsPDERsbq5PnJF4jwWdgf/rTn7B79264u7sbeygGp1Aoppw9vhmWdDp91tkjm81+qz486Mu5c+fg7OyM5ORkgz93d3c30tLSsHz5ciQlJRls1jI8PIzKykpUVlaira0NAQEBEIlE8PX1nTW0qqurcfHiRQiFQnC5XKxYsQIAUF9fj8LCQnR2diIxMRERERHznlVOZeJSa2pq6qSKMb29vfj73/+O/fv3k4a3OkSCz8AuXrwILpdLPsFNg6IojI6OzroxZ2RkBBwOZ9aANPfZY1dXF3744Qd8/vnnRrlWNDg4iLS0NPj4+GD9+vUGX7IbHBxEZWUlJBIJurq6EBgYiNDQUPj4+Ez7wamhoQEZGRmwt7fHL37xC43bmpubUVhYiObmZsTHxyMqKkonP2OqpdbU1FS4uGie23v27Blyc3Nx5MgRg16vfZuR4DOw8vJy1NbWYvfu3cYeyqIml8tnnT0ODg6CTqdPe+5x4uzxbb6GcubMGXh4eCAxMdEozz8yMoKTJ0/C0dER27ZtM9oZ0/7+fnUI9vb2Ijg4GCKRCEKhcFII1tfX49ixY9iwYcOUH1Lb29tRWFiIly9fIjY2FjExMQteTp641Mrj8TRuu379unpJ9G3+WTUUEnwG1tvbi++//x6//vWvyQ+wnlEUhZGRkVlnjzKZbE6zR10sbRlDe3s7Tpw4gV/96ldGew3j4+M4ffo0AOC9994z+r9lb28vJBIJJBIJhoaGEBwcjNDQUHh5eal/L48ePYrx8XEsX75cfe7uTV1dXSgqKkJNTQ2ioqIQFxe3oFmZaql1586d8PX1Vf+9QqHA8ePH4evra5Rl67cNCT4DoygKf/jDH3Do0KFZ26QQhiGXy6e81vjm3zGZzFmPdbBYLJP8QHPq1CkIhUKtW+7ogkKhwMWLF9Hb24v9+/frpX2SNrq7u9UhODo6ipCQEIhEIpSXl8PW1hZVVVUQCATYuHHjtN/b3t5e3LlzBxKJBBEREYiPj4etra1W42loaEBWVhY2btwIkUik/vvBwUF8++23ePfdd7FkyRKtHpt4jQSfEZw5cwZ+fn4IDw839lCIOVLNHicG41ThODY2Bg6HM21Aqv7b0B26W1pakJmZic8//9yo3cEpisJPP/2EFy9eIDU1Vetw0JfOzk48ffoUEokEIyMjsLa2xtatW5GXlwc7Ozvs2LFjxqXagYEB3LlzBxUVFQgLC0NiYqJWLY5UJc7EYrFG3dAXL17g3Llz+PjjjxdUHs7ckeAzgvv376O1tRXbt2839lAIHRsfH5919jg0NARLS8tZZ482NjY6nT1mZGTA399fZwWYtUVRFIqKilBWVobU1FS99ubTFkVRqK2txenTp9XXgGk0GlgsFlJTU2fdKDQ0NIS7d+/i0aNHCAoKQlJS0rxXeHp7e7tVnd8AACAASURBVHHixAksW7YMycnJ6p+FgoIC1NXV4f333yc1ebVEgs8I2tvbcfr0aXz66afGHgphBBRFQSqVznrucXx8fNbrjvOZPTY2NiI7OxufffaZSbxhPnz4ELdv38aBAwfg4eFh7OFM6Y9//CNSUlIwPj6Op0+f4sGDB6AoCjExMQgPD5+1yezIyAhKSkpQWloKPz8/iMXiWb9moqGhIaSlpWkstVIUhYyMDLi5uRm0JN3bhASfESiVSvzud78zaBFhYvFRzR5n27lqbW09a0CqZo/Hjx9HWFgYIiIijP3yALyuZpSTk4P33nsP3t7exh7OJGfPnoW3tzeWL18O4PXv7vnz5/H8+XPQ6XSw2WyIRCKEhobOOKMbHR1FaWkp7t27B4FAALFYPOewVzX+nbjUKpVK8e2332LDhg0ICgrSyWs1JyT4jCQjIwPh4eF6LelEvP0oisLw8PCsRQEUCoX6XGNvby+WL18Oe3v7SYFpjJngy5cvcebMGWzdutXk3sQfPHiApqYm7NixQ+Pv79y5g/v372P16tVoampCZWUl7Ozs1F3lHRwcpny8sbExlJWVobi4GO7u7hCLxfDy8pp1HOPj48jOzoZcLseePXtgaWmJpqYmnDx5Ej/72c/IRrl5IsFnJEVFRRgaGjJIzzSCGBsbU4fg5cuXweVyweFwNAJyaGgINjY2s84era2tdb5ztaWlBSdPnsSqVavUsytT0NnZiYyMDPzqV7+adNvEbhTu7u6or6/H06dP8ezZMzg6OqpDcKpNKHK5HOXl5SgqKoKTkxOSk5MhFApn/HdVKpW4dOkSurq6cODAAdjY2ODevXsoLy/Hz372M6NuWlpsSPAZSUNDg7oaA0EYUl1dHXJzc/GLX/xC4+D2XJohDw4OQqlUTgpFXTRDVpU4i4yMRGJiokkcC6EoCr/73e/wySefTBlgqnN3u3btUh8xUCgUePnyJSQSCaqrq+Hq6gqRSISQkJBJlzYUCgWePHmCwsJCsNlsJCcnw9fXd9rX/mbjX1tbW5w5c0a9+5SYGxJ8RiKXy/HVV1/h3/7t30jbEcKgKIrCP/7xD8THx2ucE5ursbGxWbt1TGyGPNPs8c1myAMDA0hLS4Ofnx/Wrl1rEuGXmZmJ0NBQhIaGTnl7fX09srKypuxGMV1X+ZCQEI2D7kqlEpWVlSgoKACDwUBycjICAwOnff2qxr+q8Pvuu+8gFouxbNky3b3wtxgJPiM6duwYxGKxRoUGgjCEmpoa3Lp1Cz//+c/1Ei7zaYY8VRg+fvwYTk5O2LhxI+zt7Y1akLy4uBh9fX3YtGnTtPdpa2tDRkYGkpOTERUVNeV95HI5nj9/DolEgtraWvD5fIhEIgQFBakP81MUherqahQUFEChUEAsFiMkJGTK1z9xqZVOp+P48eP44IMP4ObmppsX/hYjwWdEN2/eBI1GM3i/NIKgKArffvstVqxYYdQNJdO1s+rv70dDQwPkcjmUSiXYbLbRmiE3NTUhJycHn3zyyYz36+npQVpaGsLDwyEWi2f8QDE2NqYOwYld5YOCgmBlZQWKolBXV4eCggIMDw9DLBYjLCxs0vKxqvHvrl27MDAwgKKiItK8dg5I8BlRbW0tioqKcOjQIWMPhTBDVVVVKCwsxMcff2wSS4pvUigUuHDhAvr6+rBlyxaNDTpT7Vyl0WjTFiRX/alNOyuFQoGvvvoKX3zxxayFqAcHB5Geng6hUIgNGzbM6d9VJpOhuroaEokE9fX18PHxQUhICAIDA8FkMlFfX4+CggL09vYiMTER4eHhGhtZJjb+ra2txdjYGGleOwsSfEYkk8nw3//93/jyyy/JjizC4CiKwl/+8hesW7cOfn5+xh7OlCiKQm5uLurr65GSkjJtibP5NkOebfb4ZquhH3/8EQkJCfD39591zKpzd/b29ti+ffu8NvnM1FW+ra0NhYWFaGtrQ0JCAiIjI9XFvlWNf8ViMR49eoSIiAjExMTM+XnNDQk+I/vb3/6GTZs2zeksD0Ho2pMnT1BaWorDhw+b7AyBoigUFhaivLwcqampCzqzpm0z5J6eHjCZTERHR8+pGfL4+DjOnDkDpVKJ9957T6uefdN1ledwOCguLkZDQwPi4uIQHR0NKysr9PT04MSJEwgKCsLjx4+RkpIyqb0R8RoJPiO7evUq7OzsjNYrjTBvSqUSf/7zn7F582b4+PgYezgzevDgAQoKCnDgwAG4u7vr7Xmmaob86tUr1NXVgcfjzdgM+c1l1cLCQvT29qrP3WlL1VVeIpGgvb0dgYGB4PF4qK+vx8uXLxEdHY3Y2FjI5XKkpaXB3t4e7e3t+PnPf06a106BBN//GJLJkVPRglddw/B2YWPLUk9wrPS//CiRSFBRUYH9+/fr/bkIYirl5eV4/PgxPvjgA2MPZVYSiQRXrlzBnj17IBQKDfa8Y2Nj+P3vf69xWUKhUExbkHziTFL1Fsvn8+Ho6DhlUM6nGfKbXeV9fHwgk8nQ3NyMyMhIhIeH4+LFixgZGXm93Lp7Ly4/aTX4e5spI8EHoPRVDw4duw+KAqRjCrAs6aDRgGOHYhDtrd9SQENDQ/jmm2/w5ZdfmuxSE/F2UygU+NOf/oR3330XAoHA2MOZ1YsXL5CdnY1t27YhMDDQYM/73XffYd26dfMKXFVB8oKCAkgkEsTExECpVOqsGXJ/f7+6l2Bvby84HA76+vqwbNkydHV14VHTAHJHlsCCTjf4e5spM/vgG5LJEftfNzAsU0y6jW1Fx/3/XAO2nj8dHT16FHv27AGXy9Xr8xDEdB4+fIiqqiqkpqYaeyhz0tzcjMzMTKxevdpgfS2vXbsGFosFsVis1deXlZUhLy8P+/fvh6enp8ZtC2mGrPp/4PXRi6qqKvT392NUAZwcCcU4NXlzjaHe20yVeb7qCXIqWjBd9FPU69v3Ruv3U7BAIEBDQwMJPsJoli1bhoKCAjQ3Ny+KDRE8Hg8ffPAB0tLSMDw8bJBr5AKBAGVlZVp//fLly2FjY4P09HTs3r1b45oqg8GAo6MjHB0dp/36qZohDw4Oorm5WSMgx8bGwGKxUDtib/T3NlNl9jO+/3e1Cn8teDHt7WH0VkQxmw04IoIgiIV7MM7DE8X0rY9+scIX/7HBtLphGIrZz/i8XdhgWb5e/34Ty5KO1C3r9P6pqKenB8eOHcMXX3xBrvMRRjM+Po6vv/4aKSkpet01qWtSqRQZGRlwdXXF1q1b9Vre7JtvvsHOnTsX3DhXde5u5cqViIyM1OoxlEolOjo60NTUhObmZjQ1NWFgYAAeHh7g8XhQtipRVSWDHJOXOlmWdHg7m+9uT7MPvi1LPfF/L1dOeRuN9vp2fXN0dIRSqUR/f/+0fbwIQt+YTCYSEhJQWFiI9957z9jDmTMWi4X3338fWVlZyMrKwq5duyZtAtEV1WWJhQafh4cHDh06hLS0NEilUiQlJc36oXdgYEAdcM3NzWhtbYWdnR34fD54PB5iY2Ph5uYGmUyG3NxcWDTVgIbgKR/LUO9tpsrslzoB4+7qVDl9+jQCAgJIdXXCqMbGxvD111/jgw8+gKurq7GHMy8KhQLnz5/H4OAg9u3bN2t5MW08fvwYNTU1OvtgMDg4iLS0NCxZsgTr1q1Th9/4+DhaWlo0gk4ul4PH44HH46nD7s3XWFNTg0uXLsHKygpyuRwdlC0u9PFA4fV7mw3TAhYWNLKrkwTfa8Oqc3zdUng7s7BlqadBdzzdu3cPHR0dpKcWYXSFhYXo7OzEzp07jT2UeaMoClevXkVjYyNSUlIm9b9bqN7eXnz//ff49a9/rbPLElKpFCdOnACDwYCbmxtaWlrQ3d0NNzc3jZBzdHSc9jlHRkZw7do11NfXq19zd3c3fvazn8GaY4+cihZcK36EIL4z/mVLnNnu5lQx71c/AduKYdQdTgKBAA8ePDDa8xOESkxMDL7++mt0d3fD2dnZ2MOZFxqNho0bNyI/Px/ff/89Dh48OONOyflycHAAjUZDb2+v1qXTpFKpxkyuubkZVlZWUCgUGB0dxebNm8Hn8+dcv7empgY5OTnw8/NTH4ZvbW3Fli1b1N+/vdEC+NJeXw8099ADSPCZDC6Xq27gyWazjT0cwoxZWVkhOjoaRUVF2L59u7GHM280Gg0rV64Em83GDz/8gJSUFJ0dFaLRaBAKhaivr59T8CkUCrS1takDrqmpCcPDw/D09ASPx0N0dDR27NgBDocDhUKBixcvqnvszRZ8qlleQ0ODOuwFAgH6+voQFBQ0qSmuQCBAcXHxgl7/24IEn4mwsLCAl5cXGhsbjdofjSAAIDY2FkePHkVfX9+i3XAVHR0NGxsbnDhxAnv27NFZVRrVBpeIiAiNv6coCv39/Rq7LNvb2+Ho6Ag+nw+hUIjExES4uLhMufOUTqdjx44duHbtGo4dO6burj4V1SwvKCgIe/fuxalTp7Bs2TJYWFigtbUVa9eunfQ1rq6u6hqk0z2uuSDBZ0K8vLxQX19Pgo8wOhsbG0RGRqKoqAhbtmwx9nC0FhoaChsbG5w6dQrbt29HQEDAgh9TIBCgpKQEMpkMLS0tGkFHo9HU1+TeeecdeHp6zqspLI1Gw/r161FUVKReqp04s5w4y9u5cyesra2Rnp4OsVgMV1dXnDlzBh9//PGUrZBoNBoEAgHq6+sRGhq64H+HxYz+m9/85jfGHgTxT2VlZVqf6yEIXeJyubh8+TKWLl26qDt6Ozk5QSgUIjs7G2w2W6szikqlEp2dnaiurkZlZSVevXqFkpISdHV1wcbGBv7+/li1ahVWrlyJ0NBQCAQCODo6atVnU7WcymQycf78efj4+MDW1hY1NTXIyMgAl8vFnj17MDQ0hJMnT2Ljxo3w9fVFeno6tm/fPqkc2kQDAwNob2+fU1/BtxmZ8ZkQHo+Hzs5OjI2NadW/iyB0ic1mIyIiAnfu3MHGjRuNPZwF4fP56hJnUqkU8fHxM95/aGhIY/NJc3MzOByOejbX3d2NmJgYvc6cIiMj1Uu1np6e6Onpwc6dO+Ht7Y3q6mpcvHgRu3btgre3N44fP47ly5fP2lBYIBCgoqJCb2NeLEjwmRAGgwF3d3c0NTVhyZIlxh4OQSA+Ph5//vOfIRaLdX40wNBcXV3x4Ycfqut7rl69GjQaDXK5HK2trRpLljKZTH2UID4+HjweT6Ov3djYGBobG/W+ZMhgMECj0VBfX4/t27fD29sb5eXluHHjBg4cOAAej4cbN26ATqcjOTl51sfz8PBAb28vRkdH9XLOcbEgwWdiVBfOSfARpsDW1hZhYWEoLi7GunXrjD2cBbOzs8OOHTuQnZ2N6upqMJlMdHV1wcXFBTweD/7+/li5ciWcnZ1nPKcnFApx5coVvY1z4rU8VQf3kydPoqqqCs3NzTh06BBcXFxQU1ODJ0+e4MiRI3Mq1Uan0+Hp6YnGxkazXu4kwWdiVBfOCcJUJCYm4q9//SuSkpIWXTfv0dFRjTNzTU1NYDKZ8PDwQGdnJ5hMJr744ot5d0f39PREd3c3ZDKZzq9/Ttyx+cknn8DS0hIURSEgIADl5eVISEiAi4sLent7cfHiRezZs2deR6BUG1xI8BEmQyAQIDs7GwqFYsqdWQRhaPb29ggJCcHdu3exevVqYw9nWkqlEu3t7RpBN7Foc0REBLZu3areyi+Xy3Hu3DlkZWVh37598wqwiTOn2a6rzdWbOza9vb3Vr+vSpUvo7OzEkSNHkJ2djfHxcTQ2NiIxMXHexzSEQiFu376tkzEvViT4TIy1tTUcHR3R2toKPp9v7OEQBAAgKSkJ3333HRISEuY9O9KXgYEBNDU1qUOura0N9vb26mtzcXFxcHNzm3YJkMFgYNeuXbhy5Qp+/PFHpKSkzHvm1NDQoJPgm2qWB7wOZ1XQvf/++7C0tMThw4fxzTffgMFgICYmZt7Pxefz0dbWBrlcrtWu07eBeb5qE6f6hSLBR5gKR0dHBAQE4P79+1ixYoXBn39sbGzSBhSFQqHeZblixQp4enrOe8OGhYUFNm/ejNu3b6vPzc31wL5AIEBRUZE2L0dtulke8HqZNjMzExwOB7t371avANXW1oLJZMLR0RFZWVnYvXv3vLpRWFpawtXVFc3NzRAKhQsa/2JFgs8ECQQCPH36FAkJCcYeCkGoicVifP/994iLi9PruT6KotDV1aWxZDmxaHNwcDDWrl2rrpu5UDQaDatWrQKLxcL333+P1NRUuLm5zfp1Xl5eaGlp0XrmNN0sD3h9nCI9PR18Ph8bN25Uz1o7OzuRm5uLgwcPwtXVFefPn0daWhr2798/r9BXfbgmwUeYDIFAgCtXroCiKNKYljAZzs7OWLJkCUpLS5GUlKSzx5VKpRozuZaWFlhbW6tnc+Hh4XB3d9f7slxsbCxYLBaOHz+OvXv3wsvLa8b7W1lZwcXFBS0tLfO6zjbTLA943QEiLS0NYWFhWLFihfo9YGxsDFlZWVi9erX6EP7OnTuRm5urLnE21yMnAoEAZWVlcx7z24YEnwmys7ODlZUVurq6Fl1PNOLtJhaLcfz4ccTExGhVZEFVtHli0EmlUnh6eoLP5yMmJgZ8Pt9ohdrDwsJgY2ODzMxM7NixY9adj6qZ01yDb6ZZHgC0t7cjPT0dSUlJGtfvKIpCTk4O+Hy+Ro1QGo2GDRs2oKCgQD1bnUvxbIFAgAsXLkCpVOq1Y72pIsFnolQV4EnwEabEzc0NAoEADx8+nLX6ycSizaqga29vh5OTE3g8Hnx8fCAWi+Hi4mJSKxt+fn7Yt28fTp06hXXr1mHp0qXT3lcgEKC8vHzWx5xtlgcADQ0NyMrKwoYNGyYdjH/48CHa29vx0UcfTfq3otFoWLFiBVgsFo4dO4YDBw7MWpaNzWbD1tYW7e3tC+4mvxiR4DNRAoEAr169QlRUlLGHQhAaxGIxTp48iejoaI3lx9mKNq9evRqenp6Lohyfl5cX3n//faSnp0MqlSIuLm7K+wkEAly6dGnGyxKzzfJU97lw4QJ27twJX19fjdtaWlqQl5eHDz/8cMZNLNHR0WCxWOpuFLNdv1PNVknwESZDIBCgoKDA2MMgiEk8PDzg7u6O/Px8ODg4qEOur68P7u7u4PF4CAsLw8aNG2FnZ2dSs7n5cHNzw+HDh9X1PVetWjXptXA4HLBYLHR0dEzq+TeXWR4APH78GNevX8f+/fsn7eQeGRnB6dOnsWnTpjk1BRaJRLCxsUFWVha2bduGwMDAae8rEAhQU1OD2NjYWR/3bUOCz0Q5OztjfHwc/f39sLe3N/ZwCDOnKto8cTZXV1eHkJAQCAQCREVFgcvlvnVFFxwcHHD48GH1zG/Tpk2TrompKqFMDL65zPIA4O7duygpKcEHH3ww6bIGRVE4f/48AgICIBKJ5jzmJUuW4MCBAzh58iRGRkYQHh4+5f0EAgFu3LhhlpvoSPCZKFXvrIaGBoSFhRl7OIQZma5os2rJMjExETweD2fOnIGPjw+WL19u7CHrFZvNxgcffIBTp04hOzsb7777rsYSr1AoRG1tLWJiYuY8y6MoCrdu3UJVVRU+/PDDKT/cFhcXY3h4GHv27Jn3mHk8Hg4dOqSerU51NEp1HKS3t3dOG2LeJjSKoihjD4KY2t27d9Hd3b2oG4ESpo2iKPT09Gicmevs7FQXbebz+eDz+XBycpo0K6ivr8eFCxfw6aefmsXOQLlcjrNnz2J0dBR79+5Vn2Xs6enBsWPHsHnzZly+fBlBQUFYs2bNtLM8pVKJy5cvo62tDQcOHJhyB+urV6/UTWUXsuLT39+PtLQ0BAQEYM2aNZO+h9nZ2ViyZMmkbvJvOxJ8JqylpQXnz5/HL3/5S2MPhXhLjIyMqPvLqYLO0tISPB5PHXQeHh5zrgRy7NgxREREYNmyZXoeuWlQhVZra6u6xJlUKsUf/vAHsFgsvPvuu9PO8oDpw3OioaEhfPvtt9i2bZtOyqFJpVJkZGTA1dUVW7du1fiQUlpaipaWFmzfvn3Bz7OYkOAzYUqlEr/97W/xq1/9atFVxSeMT6FQoKOjQ2PJcnBwEJ6enuqQ4/F46qLN2njx4gWuXLmCX/7yl2Yx6wNez5Lz8vJQWVmJxMRE5OXlgcFgIDExEZGRkdN+nUwmw6lTp2BjYzNpuVRFqVTixIkTEAgEWLVqlc7GrDr8zmQysWvXLvVzt7e3IysrC5999pnOnmsxINf4TJiFhQX4fD4aGxtn3J1FEMDkos2tra1wcHAAj8eDl5cX4uPj4erqqtOA8vHxgY2NDSorK/XelNVU0Gg0xMfHo66uDpcuXcLWrVsxNjaG5ubmaYNveHgY6enp8PT0nHKDjEpeXp76XJ4uWVpaYv/+/Th37hzS0tKwb98+WFtbw83NDVKpFENDQ4u+0fB8kOAzcaoNLiT4iInGxsbQ0tKisWSpi6LN80Wj0ZCcnIwbN25AJBKZxe7AiTs2IyMjcfPmTaxduxYNDQ1T3r+vrw9paWkQiURYuXLljOf9Hj9+jJ///Od6mT3T6XTs3LkTV69eVXej4HA46veYkJAQnT+nqTKb4BuSyZFT0YJXXcPwdmFjy1JPcKxM/+ULBALcunXL2MMgjEhVtHnikmVPTw/c3NzA5/MREhKCdevW6axo83z5+fkhLy8Pz549Q3BwsMGf31Cm27Fpa2uL8+fPY3x8HMPDwxqbVTo6OpCeno6EhIQZz8v19fVp1VR2viwsLLBp0ybk5+fjhx9+QGpqKlw8+EgveQXbetqiem9cCLO4xlf6qgeHjt0HRQHSMQVYlnTQaMCxQzGI9jbtbbzj4+P43e9+h3//93+fV+sRYvFSFW1WBV1zczNYLJZ6Nsfj8QxStHk+nj17hvz8fBw5cuStnPVNnOVNtWOzoaEBx48fR3R0NNavXw8AaGxsxKlTp7B+/foZjyTJ5XL88MMPEIlEBu3Icv/+fWTlPcTlISHkCgXGKYtF9d64EKbzm6MnQzI5Dh27j2GZQv130rHX/33o2H3c/881YJvwpxsmkwkul4umpib4+PgYeziEjsnlcrS3t08q2qwKuNjYWPB4PKMVbZ6rwMBA5OXloba2dtbCzovJXM/lCQQCREZGoqysDI6OjnBycsK5c+fmVOj6p59+gp2d3ay1T3UtZNlyXL7UhRE5BeD10upiem9ciLfzVU2QU9GC6ea0FPX69r3Rc28pYgyqNXgSfIsbRVHo6+vTuC63GIo2zwWNRoNYLEZBQQH8/PwW3finMtfqKyohISF49eoVCgsLIZPJkJqaOmvXhqdPn6K2ttYoM+WcihbQLCwAKCbdtljeG7X11i91/r+rVfhrwYtpbw+jtyKK2WzAEREEQRjfg3EeniimL1D9ixW++I8NQQYckeG89TM+bxc2WJZ09RR+IpYlHalb1pn8p5qRkRH88Y9/xH/8x3+YzVmpxUapVKKzs1Pj2lxfXx88PDw0zswt5qLNc/H48WM8evQIhw4dMvZQtDLbtbzpUBSF27dvo7i4GFu2bEFQUBAyMzPBZrOxY8eOSddjx8bG8Pe//x2xsbEznv3Tp8zSBvyfnMpp3xu9nd/es8NvffBtWeqJ/3u5csrbaLTXt5s6Gxsb2Nvbo62tDZ6epj9eczA4OKixZNnS0gJbW1t1wMXExMDNze2tK9o8m7CwMOTn56O+vn7WtjimZK7X8qaiVCpx5coVtLS0IDIyEj09PbCyskJKSgqys7Nx8uRJ7N27Vx2iFEXh8uXL8PT0NGqd07fhvVFbb/1SJ7C4d3Wq5OTkwNnZ2eAXwInXO2tbW1s1gm5sbEyjzBePx4ONjY2xh2oSysrKIJFIcPDgQWMPZU60neUBrzcnnTt3DiMjI9i7dy8aGhpQXFyMDz74AMDrUMzJyUF7eztSUlLAYrHw8OFD3Lt3Dx999JHRexO+De+N2jCL4AOAYdU5vm4pvJ1Z2LLUc1HtWHry5AkqKyuxd+9eYw/lraYq2jxxl2VXVxdcXV01Qm6qos3EawqFAkePHsXu3bsn9ZczJRNnedu2bZvXLA94XYIsKysLVlZW2LlzJxgMBkZHR/GHP/wBX375pXq2T1EUbt68ierqaqxbtw7nz5/H4cOH4eLioodXNX+L/b1RG2/3q5uAbcUw+Wt5MxEIBMjNzTXL3ln6pCraPPHMnKWlpTrgwsLC4O7uTs5QzgOdTkdiYiIKCgpw4MABYw9nSvPdsfkmqVSK9PR0uLu7Y/Pmzepr79bW1nB0dERra6s69Gk0mnommZmZidWrV5tM6AGL/71RG2YTfIudvb09mEwmuru7TeqXZjFRKBRob2/X6E4wsWhzZGQktm3btqCizcRrERERKCwsRGtrKzw8pt85aGgLuZan0t/fjxMnTiA4OBjvvPPOpA+iqsa0E2e7FEWhpaUFQqEQxcXFEAqF4PF4C305hJZI8C0iqvN8JPhmR1GUumizKuTa2trg4OAAPp+vt6LNxGsMBgMJCQkoLCzUqpGqPix0lgcAnZ2dSEtLQ3x8POLi4qa8j1AoREVFBRITE9V/d/fuXQwNDeHQoUOoq6tDRkYGdu7cCV9fX61fD6E9EnyLiCr43vaO19pQFW2eGHQURamvy61cuRI8Hm/K/meEfkRGRqKoqAgdHR1wc3Mz2jh0McsDgKamJmRmZmLt2rUz9h8UCAS4fPmy+rJEfX09iouL8dFHH4HBYCAwMBB79+5FVlYWNm7cCJFIpOUrI7RFgm8REQqFuHPnjrGHYXQTizargq6npwdcLhc8Hg8ikQjr16+Hvb09uR5qREwmE3FxcSgsLMSuXbuMMgZdzPIAoK6uDmfPnsX27dsREBAw431tbW1hbW2Nzs5OsFgsZGdnY/v27XBwcFDfRyAQ4ODBg0hPT4dUKkV0dLRW4yK0Q4JvEXFxcYFMJsPAwADs7OyMPRyDGR4enrQB36UodQAAIABJREFUZWLR5uXLl4PL5ZpU0WbitejoaHz99dfo6uoy6BK9rmZ5wOuyYrm5udi7d++sJchUVNf5qqqqEB4ePmW9Ti6Xi8OHD+PEiROQSqVITk4mH9QMxGyOM7wtMjMzERoa+tY2/ZTL5Whra9MIuYlFm1VhZ+pFm4l/ys/PR29vL3bs2GGQ51vIubw3lZaWorCwECkpKeByuXP+urKyMpSUlIDD4SA1NXXG68hDQ0NIS0uDQCDAxo0bSfgZAAm+Raa4uBh9fX3YtGmTsYeyYKqizROXLDs6OuDs7KwRcouxaDPxT6Ojo/j666/x8ccfw9HRUW/Ps9BzeRNRFIX8/Hw8efIEqamp8x73w4cPcfnyZfz617+eU2fz0dFRZGZmwtbWFjt27DC7ij+GRtaGFhmBQICKigpjD0Mro6Ojkzag0Ol0dcCFhITAw8PD6NUsCN2ytrZGVFQUioqKsHXrVr08h66u5QGvQ+/q1atobGzE4cOH5xRcE/X39+PWrVuwsrKCXC6f09dYW1trlDjbs2cP+T3QIzLjW2QUCgW++uorfPHFF7C2tjb2cKalVCrR0dGhcW3uzaLNfD7frK5VmjOpVIqjR4/ik08+gb29vc4eV5ezPOD179e5c+cwNDSEffv2zft3TKFQ4IcffkBwcDCam5sRFBSEpUuXzvnrlUolLl26hK6uLhw4cICUwdMTEnyL0PHjxxEXFzfr7jJDGhwc1JjJtba2ws7OTuPanDkWbSb+6fr16xgfH9fZMr0ur+UBr4/EZGVlgclkYteuXVptlrp69Sr6+/uxd+9e3Lt3D11dXdiyZcu8HoOiKFy/fh21tbVITU0lHw71gCx1LkKq83zGCj5V0eaJQTc+Pq5eshSLxfD09CSfVgkN8fHx+OabbyAWixdUHUeXOzZVpFIpMjIy4Orqiq1bt2pV1EAikaCmpkbdVFYgEKCsrGzej0Oj0bBu3Tqw2Wx8//33SE1NJUUrdIwE3yIkEAhw+/ZtgzzXxKLNqqCbWLQ5MDAQq1evhqOjI9mAQsyIw+Fg6dKlKC4uxvr167V6DF1ey1Pp7+9HWloaAgICsGbNGq1+jru6unDlyhWkpqaqP/C5u7tjYGAAUqkULNb8e9slJiaCxWLhxx9/xP79+0lLMh0iwbcI8fl8tLW1YXx8XOfFk0dGRjRmcs3NzbCyslLP5pYuXUqKNhNaS0xMxF/+8hckJSXN60iKPmZ5wOvASktLQ0xMDBISErR6jPHxcZw+fRqrVq3SqEtqYWEBPp+PhoYGBAVp18k8IiICNjY2SE9Px65du7BkyRKtHofQRIJvEbK0tISrq6u66K22VEWbJwbd0NAQPD09wefzERUVhR07dsx7VxtBTMfOzg4ikQh3797FmjVr5vQ1+pjlAUBzc7O6W0J4eLhWj6FqKuvu7j5lJ3UvL68FBR8ABAUFwdraGqdPn8bmzZsREhKi9WMRr5HgW6RUlSHmGnwTizargq6trQ2Ojo7g8XgQCoVISEggRZsJvUtKSsK3336LxMTEGa8D62uWBwAvXrxAdnY2tm3bhsDAQK0f59GjR2hpacFHH3005RKpUCjEjRs3FjJUAIC3tzdSU1ORkZGBkZGRKUOWmDsSfIuUUCjEgwcPpr19uqLNqiXLVatWwdPTkxRtJgzOwcEBgYGBuHfvHlauXDnlffQ1ywNeb0K5cuUK9uzZs6AVk9bWVty8eROHDh2adnw8Hg8dHR0YGxtb8Gvw8PBQlzgbHh6GWCwm19W1RIJvkRIIBDh//jyUSiVoNBo6Ozs1ynyRos2EKROLxfjHP/6B+Ph4jQ9f+pzlAcCDBw9QUFCAgwcPwt3dXevHGR0dxenTp7Fx40a4urpOez8mkwkul4vm5mb4+Pho/XwqTk5O+PDDD5GWlgapVIr169eT32ktkHN8i9Dw8DCamppw4cIFODo6oru7G2w2W+PMnLu7OzkzR5i0s2fPwtXVFWKxGIDuz+VNRFEUCgoK8PjxY6SmpsLJyWlBj5WVlQVbW9s5nUm8fv06mEzmtLNbbYyMjODkyZNwdHTEtm3byO/6PJHgM3FvFm1uamrCyMgI+Hw+hoeHwePx8M4772i1XZogjKmzsxPHjh3DkSNHkJeXp7PqK2+iKAq5ubmor69HSkrKgs4QAq/r5UokEhw+fHhOh9xrampQUlKC999/f0HP+ybVblIAeO+998hO63kgwWdCKIpCb2+vxlGCN4s28/l8ODs7g0aj4fHjx6ipqcF7771n7KEThFa+//57dPz/9u40KKoz3QP4v2mggRYXQDQszZIYIypuATQCWVTUDBpRTFwQwUxS3pq5VXe+TNV8ulV3qma+3Lo1X26lbtUkMgZFaRYXXKJiGUBHYVxgFDUu7AwSG0Hphm5ozv1AGhEBoTnd53Sf/+8jjec80qfP08953/d529sRGxsrepUHDM5cPn78OLq6urBz584pt/lrbGxEfn4+fv3rX7+yv954enp68Je//AW///3vRa/MrFYrTp48iY6ODuzcuZNNIyaIY3wS6u3tHRqTsyW6yTRtjoiIwPnz54d2eiZyFbaxvM7OTnh4eGDdunWiVywWiwV6vR4eHh7IyMiY8vGNRuPQTNCJJj0A8PX1xcyZM9HW1obQ0NApxTCSWq3GZ599hnPnziEnJwe7d+9mi7MJYOJzElvT5uGPLLu6uhASEoLQ0FAsXboUqampk7poZ8yYAbVajY6ODgQGBjoweiLxDB/L++1vf4uioiLcuHEDCQkJop2jp6cHhw8fRmBgIDZv3jzlJToDAwMoLCxEbGysXa0CbW0GxU58wMsWZ5cvX8aBAweQkZHB+8EbMPE5iK1psy3R2Zo226q5hIQEBAcHT+kDaesH2NjYyAudZG+sGZtJSUnIz8/HihUr7GoMPdLz58+Rm5uLd955B+vWrRPlaciPP/4IQRDw8ccf2/XvdTodamtrsWrVqinHMhqVSoXExET4+fkhJycHu3bteqWLDL2KiU8EfX19aG1tfeWx5cimzaGhoQ7ZRsiW+JYtWyb6sYnEMt66vNDQUMyePRvV1dVTXphtMBjw/fffIy4uDqtXr55q2ACAhw8f4ubNm/j666/t/qIaERGBs2fPOnxYYvny5fD19UVubi7S09NFWULhjpj4ftFt7kdJTSvqnxoRGaRFamwIpmle//MIggCDwfDKI0uDwYDZs2cjLCzM6U2bdTodrl696vDzENljouvykpOTUVxcjKVLl9o9AaS1tRV5eXn45JNPRPsi2NXVhWPHjiE9PX1KrfumT58OLy8vGAwGh++0sGDBAvj4+KCgoACpqakIj543oXubkij7f/+LqvoOZOVUQhAAk8UKP281/niqFjlZ8VgY7PPK5JOWlhb4+PgMzbKMjY3FW2+9JcojGnsEBwfDZDKhu7ubPTVJVibTfUWn02HmzJn45z//aVffzLq6OhQUFGDTpk1T6os5nNVqRUFBAVauXCnKEouIiAg0NDQ4ZYuhqKgoZGRk4L//VozTxjqoPDxeu7fFRdq/ltHVKX45Q7e5Hwl/vgCj2fraa16qAWT630VE6NyhRBcaGiq7BJOXl4fY2FgsXLhQ6lCI7N4Vva6uDiUlJfjNb34zqUeKtbW1OHXqFLZv3y7qGsCzZ8/i2bNn2LFjhyhPb65fv47GxkakpaWJEN2bdZv7Ef+n8zBZBl57TatRo/IPa6FVaOWn+G7EJTWtGCv1e3p64p01XyAzMxNr1qzB/PnzZZf0gJfjfERS++mnn/DNN9/A29sb+/fvn1QiioyMhFarxZ07dyb8b65fv44zZ84gIyND1KRXW1uL+/fvY8uWLaINWTj7c1pS0wpg9NgFwfa6Mik+8dU/NcJkeb3aA4CevgE0dvQ4OaLJY+IjqfX09ODYsWM4e/Ystm7dik8//XTSi9FVKhWSk5NRXl6ONz2IEgQB5eXlqKioQFZWlqgzGA0Gw1AFKeaC8KCgIJjNZjx//ly0Y45nvHubyWJFvcHklDjkSPGJLzJICz/v0QfT/bzViAyUfyuwkJAQGAwGmM1mqUMhBZpKlTfS22+/DS8vL9y9e3fM3xEEAT/88ANu376Nffv2ibqUp6+vD/n5+UO7l4jJtvyooaFB1OOOxR3ubY6i+MSXGhuCsZ5kqFSDr8udWq1GSEgImpqapA6FFESMKm+kN1V9VqsVx44dQ2trK7Kysqbcd3Ok06dPY86cOQ7b786ZT2fc4d7mKIpPfNM0nsjJiodWox76duTr5QEvlRV/SglzmcFfZ36TJBKzyhvp3XffhSAIePDgwSs/7+vrw9GjR9HT04M9e/aI3pfy5s2baG5uRmpqqsOWIkVERDgt8Y12b/PzVkOrUf/yc9e4tzmCcv/nw8RFBqDyD2sH17oYTIgM9MOi6RacLTmO54t0LtH7LiIiAmVlZVKHQW7O0fvlAYNVX1JSEsrKyjBv3jyoVCqHb8PT1taGCxcujLuprBjmzp2Lzs5O9PT0OKWh9Gj3ttTYEEUnPYCJb4hW44kv4nSv/MzwJA6FhYXIzMyU/X5XYWFh+Ne//oX+/n7J1hSSe3PkrugjxcTE4NKlS3j8+DGCg4ORm5uL6OhopKSkiF6N2TaV3bBhw7ibyopBrVYjNDQUTU1NdvX8tMdo9zal4x1yHElJSWhqakJpaSlSUlKkDmdcGo0GQUFBaG1thU7Hi5zE44wqbyRb1VdaWgqTyYQVK1YgMTFR9KQnCAJOnDiB6OhoLF68WNRjj8U2LOGsxEevU/wY33hUKhXS0tJQW1uLe/fuSR3OG3FZA4nNkWN5bxIYGIi2tjYsWLAASUlJDhl3u3r1Krq6urB+/XrRjz0WnU7HiWgSY8X3Bn5+fkhPT0deXh6Cg4MRECDfNj86nQ63bt2SOgxyA1JUecPV19dDr9djxYoVePLkiUPO0dTUhMuXL+PLL7906vBAWFgY2tra0NfXx13TJcKKbwLCwsKQnJwMvV6P/v5+qcMZk+2b5MDA6y2KiCZKyioPAO7duwe9Xo/09HRs2LABHR0doldIRqNxqLfnrFmzRD32m3h7eyM4OBgtLS1OPS+9xMQ3QfHx8QgMDMSZM2ekDmVM06ZNg1arRXt7u9ShkAtyxLq8ybpx4wZOnTqF3bt3IyoqCmq1GomJiaLOWB4YGEBRUREWL16M+fPni3bcyeCwhLSY+CZIpVJh06ZNaGhoQHV1tdThjIkfKLKH1FWeIAioqKhAeXk5srKyXumasnTpUjx58gStreL0liwrK4PVasUnn3wiyvHswc+ptJj4JkGj0WD79u04d+6cbKsqfqBoMuRQ5QmCgPPnz6OmpgbZ2dmvtSDz9PTE6tWrUV5ePuVzPXr0CNevX8e2bdvs3lRWDDqdDs3NzRyWkAgT3yTNmTMHKSkpyM/Pl2VvTFviU/huUzQBUld5wGALsuPHj6OpqQnZ2dljNotYvnw5mpubpzTR5fnz5yguLsa2bdtEb3U2WX5+fvD393fYxB0aHxOfHZYsWQKdToeTJ0/KLsHMmjULgiCgs7NT6lBIpuRQ5QEvG0IbjcY3tiDz8vLCypUr7a76rFYr9Ho9EhISJEnwo2GbQekw8dlp48aNMBgMqKqqkjqUV6hUqqGdnolGkkOVBwx2S8nNzYVGo8GOHTsmlHjj4uJQV1eHn3/+edLnu3DhAnx9fZGYmGhPuA7hzL6d9ComPjt5eXlh+/bt+PHHH2U3LZnjfDSSXKo8AOju7kZOTg7mzp2LtLS0CbcD9Pb2RkJCAioqKiZ1PlsDirS0NIc1n7YHhyWkw8Q3BQEBAUhNTYVer4fJJJ9NHZn4aDi5VHkA0NHRge+++w4xMTHYsGHDpBNRfHw8Hjx4gI6Ojgn9vm1T2fT0dKc0hZ6MmTNnQq1WT/j/QuJh4puiBQsWICYmBsXFxbL55hYcHIzu7m4YjUapQyEJyanKAwZ3QMjJycEHH3yA5ORku6ovHx8fxMXFTajq6+vrg16vx0cffYTQ0FB7QnY4fkmVBhOfCNasWQOz2TzpRzCO4uHhgfDwcH6gFExOVR4ANDQ0IDc3F+vXr8f7778/pWOtXLkS9+7de+MErtOnT2P27NlTPp8jMfFJg4lPBGq1Gunp6aisrERdXZ3U4QDgjDGlkluVBwD3799Hfn4+tm7dioULF075eL6+vli+fDkuX7485u/YNpXdtGmTrMb1RuJENGkw8Ylk+vTpSEtLQ1FREV68eCF1OJwxpkByq/IA4NatWygpKcGuXbsQHR0t2nFXrVqF27dvj/pZs20qu337dsmT/pvMnj0bvb29srhnKAkTn4iio6Px/vvvo6CgQPKODCEhIXj69KksF9mTuORY5QHAlStXcOnSJezdu1f0MTatVoslS5a8VvWZzWbo9XqsX78ewcHBop7TEVQqFYclJMDEJ7Lk5GR4eXmhtLRU0jg8PT3x1ltvobm5WdI4yLHkWOXZWpDdvHkT+/btQ1BQkEPOs3r1alRXVw9N4rJtKhsVFYXY2FiHnNMROM7nfEx8IlOpVNi6dSvu3LmD+/fvSxoLP1DuS65V3sDAAE6cOIGGhoZxW5CJwd/fH4sWLcKVK1cAANeuXcOzZ8+wYcMGh53TEfg5dT4mPgewbV578uRJPHv2TLI4+IFyT3Ks8gCgv78fer0eL168QGZmJvz8/Bx+zsTERNy4cQMPHjxAeXk5tm/f7tRNZcUQEhICg8GA3t5eqUNRDNe6QlxIWFgYEhMTodfr8fnuTJytbUf9UyMig7RIjQ3BNI3j//Th4eFoaWmB1WqdcHcMki+pd0UfT29vL44cOQJ/f3+kp6c77XqbMWMG5s2bh4KCAmzdutXpm8qKQa1WI2huGP7vwm30qLVOvUcoFf+yDpSQkICyuy1I+PMFqNWeMFms8PNW44+napGTFY+4yACHnt/HxweBgYFobW1FeHi4Q89FjvXTTz+hpKQE7733Hvbv3y+Lx5o23d3dOHToEMLDw7Fx40anLh8QBAFdXV0YGBhARESE084rpqr6DvzP40AIj57APACn3iOUio86HchoseJv9VqYrSqYLFYAgMlihdFsRVZOJYzmfofHwMedrk2uY3k2z549w4EDBzB//nynJz1gcFNZlUqFBQsWoLKy0qnnFkO3uR9ZOZXotQLmXyaCO/seoURMfA5UUtOKsZqYCcLg647GxOe65DqWZ/PkyRMcOHAAK1euxEcffeT0pPf48WP84x//wLZt25CcnIxr167BYrE4NYapKqlpxVidDp11j1AiPup0oPqnxqFKbySTxYp6g+MbW+t0Opw6dQqCIMi6gwW9JOexPJvGxkbk5+djw4YNWLRokdPPb9tUduvWrfD394e/vz+ioqJQVVWF1atXOz0ee8nhHqFErPgcKDJICz/v0Qf5/bzViAx0/Kw3f39/+Pj42LWHGTmf3Ks8YDDGo0ePIi0tTZKkZ7VaUVBQgPj4eERFRQ39PCkpCVevXkVfX5/TY7KXHO4RSsTE50CpsSEYq8hSqQZfdwb2A5Q/uY/l2VRXV+PEiRPYuXMn3n77bUliKC0thY+Pz2ubys6ZMwdhYWG4fv26JHHZQy73CKVh4nOgaRpP5GTFQ6tRD32r8/NWQ6tR//Jz5zxp5jifvLlClQcAf//733Hx4kXs3bsXYWFhksRw9+5d1NbWYsuWLaM+uk9KSsKVK1fQ3+8ak0Lkco9QGpUgl03k3JjR3I+SmlbUG0yIDPRDamyIUy9og8GAgwcP4ne/+53TzklvNnwsb/PmzbJNeIIg4OLFi7h37x4yMjIwY8YMSeLo6OjAt99+i127do3b+/Pw4cN49913Zb0d0UhS3yOUhn9ZJ9BqPPFFnE6y8wcEBMBqtaKzsxMzZ86ULA56Sc7r8oYbGBjAqVOn0NbWhuzsbKd0YxmNbVPZDz/88I0Nr5OSklBYWIhly5a5TOMGqe8RSsPEpwAqlWrocScTn7RcYcamTX9/P4qKimA2m5GZmQmNRiNZLGfOnEFgYCDi4uLe+Lvh4eEICAhATU0Nli1b5oToyNVwjE8huDGt9FxlLA8Y3N7n0KFDUKlU2Llzp6RJ79atW2hsbJzUprLJyckoLy+XfHswkidWfAoRERHhUrPd3IkrVXkAYDQacejQIYSEhODTTz+Fh4d034+fPHmC8+fPY+/evZNKvpGRkfD398ft27ddaosicg5WfAoxZ84cvHjxAiYTF8Q6kytVeQDQ2dmJ7777DvPmzcOvfvUrSZOebVPZlJQUuzaVtVV9nL9HI7HiUwgPDw+EhYWhsbER7733ntThuD1Xq/IAoL29HYcOHcIHH3yAhIQESWMRBAEnT55EREQElixZYtcxoqOjodFoUFtbi4ULF4ocIbkyVnwKwvV8zuFqVR4ANDU14eDBg1i7dq3kSQ8AKisrYTAYsHHjRruPoVKpWPXRqJj4FISJz7FcpfvKSA8ePMCRI0ewZcsWLF68WOpw0NzcjLKyMlE2lZ03bx5UKhXu378vUnTkDpj4FCQ0NBTt7e0u18HeFbhilQcANTU1OH78OHbs2IF33nlH6nBgMplQUFCATZs2ISBg6nvRqVQqJCUlseqjVzDxKYiXlxfmzp2L5uZmqUNxG65a5QHAtWvXUFpaiszMTFlsVCwIAoqLixETEyPqOPSCBQvQ19eHR48eiXZMcm1MfArDx53icdUqz9aCrKqqCtnZ2XbNmHSE8vJyWCwWrFmzRtTj2qq+srIyVn0EgIlPcZj4ps6VqzxbC7KHDx8iOztbNp18Hj9+jKqqKqSnpzukzdjChQthMplQX18v+rHJ9TDxKUx4eDhaWlpgtY6++SWNz1WrPGCwBVlhYSE6Ojqwd+9eaLVaqUMC8HJT2bS0NPj7+zvkHB4eHkhMTERZWZlDjk+uhYlPYXx9fTFz5ky0tbVJHYpLceUqDxhcDH748GEIgoBdu3ZJ2oJsOKvVisLCQsTFxSE6Otqh51q8eDE6Ozv5xIOY+JSIfTsnx5WrPGCwBdnBgwcxa9YspKenT3mJgJguXrwIb29vJCUlOfxcarWaVR8BYOcWRZodEo4jVx6grOsuIoO0SI0NwTTu/fUaV+y+MlJXVxe+//57xMTE4OOPP55wk2dnuHfvHu7cuYOvv/7aaXEtWbIEFy6V45tzNeiyevH6VyhuRKswVfUdyDpQCbPFgn4M7vqsUgE5WfGIi5z6uil3MXy/vLVr17rUY02bn3/+Gbm5uVi1ahVWrlwpdTivePbsGf76179i586dTt3Nvaq+A3u+vYoB6wAsgorXv0Ix8SlIt7kfCX++AKP59YktWo0alX9Yq/hdn11lV/Q3aW5uxpEjR5CSkiK73Qn6+/vx7bffYunSpU5tj8brn2w4xqcgJTWtGOtrjiAMvq5krj6WZ/Pw4UPk5eXhs88+k13SAwY3lQ0ICEB8fLxTz8vrn2z49UZB6p8aYbKMvozBZLGi3qDMLYvcYSzP5vbt2zh79iy++OIL6HQ6qcN5TXV1NRoaGvDVV185fbyR1z/ZMPEpSGSQFn7e6lE//H7eakQG+kkQlbSGj+Xt37/fJcfybCorK1FRUYE9e/Zgzpw5Uofzmvb2dpw7dw6ZmZmSLKfg9U82fNSpIKmxIRjrS7ZKNfi6Urj6urzhBEHApUuXcO3aNezbt0+WSc9sNiM/Px/r1q2TLD5e/2TDxKcg0zSeyMmKh1YzOJsTGPymq9Wof/m5Mh4AuMtYHjDYguz06dO4f/8+9u3bJ5sWZMMJgoCSkhLodDosXbpUsjh4/ZMNZ3UqkNHcj5KaVtQbTIgM9ENqbIgiPvTuMmPTxmq1ori4GEajETt27JBNN5aRKisrcfPmTezbtw9eXl5Sh6PY659eYuIjRXCHdXnDWSwWHD16FN7e3ti2bZusurEM19LSgsOHD+PLL78UZX89IjHI89NCJBJ3mrFpYzKZcPjwYQQHByM1NRUeHvIcsTCZTNDr9UhNTWXSI1lhxUduy92qPGCwBVlubi7mz5+PNWvWyKoF2XCCICAvLw+BgYFYv3691OEQvYIVH7kdd6zyAODp06fIzc1FQkICVq1aJXU446qoqEBvby/Wrl0rdShEr2HiI7fiTuvyhmtpaUFeXh7WrVuHJUuWSB3OuOrq6lBZWYmvvvrKIZvKEk0VEx+5BXet8gDg0aNHKCoqwubNmzF//nypwxnXixcvUFRUhLS0NEyfPl3qcIhGxTE+cnnuOJZnc+fOHZw5cwaff/65LFuQDTcwMICDBw8iKioKH374odThEI2JFR+5jG7b+qunRkQGabF23ixUXCp1yyoPAKqqqlBeXi7bFmTAq++Jqb0RESpPJCcnSx0W0bhY8ZFLqKrvQFZOJQRhsKGwj6cKVms//n2xGvu3rXOrKk8QBJSVlaG6uhp79uzBrFmzpA5pVCPfE08MQOPthZxs7m1H8sbER7KnpH3UBEHAmTNn0NjYiIyMDEybNk3qkEalpPeE3I88V74SDaOUfdSsViuKiorQ3t6OrKws2SY9QDnvCbknfiUj2VPCPmoWiwX5+fnw9PTE7t27ZdHTcjxKeE/IfTHxkey52z5qo03SOV6Yj6CgIGzatEm2LciGc7f3hJSFY3wke+40njRyQoivlwes/f34j2Xe+Lf0FNm2IBvJnd4TUh75f7UkxXOXfdS6zf3IyqmE0WwdqpR6+gZgETzwv3eEMR8dypG7vCekTKz4yGW4+j5qR6oa8V8ltWM+HvzP1Bh8ESfvReojufp7QsrEK5Rchlbj6XKJYTh3nBDi6u8JKRMfdRI5iW1CyGg4IYTIeZj4iJwkNTYEY81dUakGXycix2PiI3ISTgghkgdObiFyMk4IIZIWEx8RESkKH3USEZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPH15cpjAAAAmklEQVQREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGiMPEREZGi/D8oU2QXqFhmNwAAAABJRU5ErkJggg==\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"syjlqJ6UU1iF"},"source":["We analyse large Barabasi-Albert graphs to investigate their ability to generate power-law distribution for the degree of node"]},{"cell_type":"code","metadata":{"id":"TQdSrJmCU1iG"},"source":["n = 1E5\n","bag = nx.extended_barabasi_albert_graph(n,m=1,p=0,q=0)\n","\n","degree = dict(nx.degree(bag)).values()\n","bins = np.round(np.logspace(np.log10(min(degree)), np.log10(max(degree)), 10))\n","cnt = Counter(np.digitize(np.array(list(degree)), bins))"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"16wMjOWRU1iH","colab":{"base_uri":"https://localhost:8080/","height":397},"executionInfo":{"status":"ok","timestamp":1627816139149,"user_tz":-330,"elapsed":2907,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"8dbd7f73-2e55-4a4b-de7c-f36ef6c1fa41"},"source":["plt.figure(figsize=(15,6))\n","plt.subplot(1,2,1)\n","draw_graph(BA_graph_small, layout=nx.circular_layout)\n","plt.subplot(1,2,2)\n","x, y = list(zip(*[(bins[k-1], v/n) for k, v in cnt.items()]))\n","plt.plot(x, y, 'o'); plt.xscale(\"log\"); plt.yscale(\"log\")\n","plt.xlabel(\"Degree k\")\n","plt.ylabel(\"P(k)\")\n","plt.savefig(os.path.join(output_dir, \"Barabasi_Albert.png\"))"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"swLyQ6UnU1iI","colab":{"base_uri":"https://localhost:8080/","height":378},"executionInfo":{"status":"ok","timestamp":1627816146209,"user_tz":-330,"elapsed":1762,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"dc138042-05bb-45ca-89bc-4c3e7a767c25"},"source":["plt.figure(figsize=(15, 6))\n","\n","plt.hist(degree, bins=bins)\n","plt.xscale(\"log\")\n","plt.yscale(\"log\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"tJT2KKarU1iJ"},"source":["Other simple graph Benchmarks"]},{"cell_type":"code","metadata":{"id":"sxpVzYbXU1iK","colab":{"base_uri":"https://localhost:8080/","height":319},"executionInfo":{"status":"ok","timestamp":1627816160912,"user_tz":-330,"elapsed":2282,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"4ada14aa-6014-4901-87a0-63f484918ec3"},"source":["graph = nx.florentine_families_graph()\n","\n","nx.draw_kamada_kawai(graph, with_labels=True, node_size=20, font_size=14)\n","plt.savefig(\"Florentine.png\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAb4AAAEuCAYAAADx63eqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdeVzM2/8H8NdMy7QrlVLaKFkKN6HFvlP2soVSkputSPYW2XcXFxHZLiq613JlF9qLiMpaikraC61zfn/4ma9Rrm3qM1Pn+XjM46H5nM8578+E95zP5ywsQggBRVEURTURbKYDoCiKoqiGRBMfRVEU1aTQxEdRFEU1KTTxURRFUU0KTXwURVFUk0ITH0VRFNWk0MRHURRFNSk08VEURVFNCk18FEVRVJNCEx9FURTVpNDER1EURTUpNPFRFEVRTQpNfBRFNTk+Pj4wMjJiOgyKITTxURT1SxwcHMBiscBisSAhIYHWrVvDw8MD7969Yzq0r/Lw8EB4eDjTYVAMEWc6AIqiRN/AgQNx9OhRVFVV4fbt25gxYwbevXuHPXv2/HBdVVVVkJCQqIco/0dOTg5ycnL12gYlvGiPj6KoX8bhcKCurg4tLS1MnjwZdnZ2+Pvvv0EIwcaNG9GmTRtIS0vD2NgYx44d452Xnp4OFouFEydOoH///pCWlsa+ffsQGBhYKzHdvHkTLBYLeXl5AABdXV1eT/PzV3p6Onx8fOo85uPjA4De6mzqaOKjKErgpKWlUVVVhRUrViAgIAC7d+9GcnIyli5dChcXF1y4cIGv/NKlS+Hq6ork5GSMHj2a935+WQXuZxYhv6yiVhtxcXHIzs7mvaytrdGuXTuoqanBw8OD79iRI0cgLi6Onj171vu1U8KP3uqkKEqgYmNj8ddff6Ffv37YunUrLl++jF69egEA9PT0EBsbi927d8PKyop3zty5c2FjY8NXTw2XwHLjdUiw2ajicjFVu4zvuKqqKu/PGzZsQFRUFGJiYiAtLQ0AvB7j48ePMW/ePGzatAkDBw6sl2umRAtNfBRF/bKwsDDIycmhuroaVVVVGDVqFDw8PBASEoKhQ4eCxWLxylZVVUFXV5fvfFNTUwBARUUFMjIyEJeYhIpqLsqruCgHFwCw79aLOts+d+4cvL29cenSJbRp04bvWFFREUaOHInx48fDzc1NgFdMiTKa+CiK+mW9e/eGv78/JCQkoKGhAQkJCcTExAD4mJi0tbUBAFwuF2/evEF2djYOHz6Me/fuAQDc3NyQl5eH3NxcaGpqQqyZGgDC14YY4dZq9+HDh7Czs8Pu3bvRp08fvmPV1dWwtbWFpqYmdu3aVQ9XTYkqmvgoivplMjIy0NfXByEE+fn5SEtLQ2pqKsTFxbFq1SpwOBykpaUhIyMDSkpK0NPTQ+vWraGkpAQAcHFxwdChQ9GqVSuIi4vj1JmzmDhuFLgV78HmyAAAyrKe8bWZl5eHESNGwNnZGU5OTrVicnNzQ3p6OmJiYup9lCglWmjioyjqh7x79w5paWm8V2xsLAoKCtC5c2ekpaWBzWbzElvXrl0RFxcHZ2dnuLu7Q1FREYmJiWCz2Zg5cybS09Oxa9cumJqa8t3+VGuuABZbDCW3DqOFxTiUZD5BcVQQXxzjxo2DpqYmFi5ciJycHN77qqqqOHLkCA4ePIiLFy+isrKSd5xOY6AAmvgoivpCVVUVMjIy+JLb56+SkhLo6upCT08Penp6kJGRgbS0NPbv3w89PT1eLw4ACCHYtWsX9uzZgz179kBBQQFdunSBp6fnf7bv7u6OuXNm4/yFf5Hh7wpzy554Z9QecXFxvHK3bt0CAGhqavKdn5aWhvDwcHz48AF9+/blO+bt7c2b0kA1XSxCCPl2MYqiGgsul4ucnJyvJrasrCxoaGjwEtuXL3V1dbDZ9TcTas2aNbhz5w7+/fdfvkExpaWl6N69Ozw8POq8tUlR34smPooSsL59+8LIyIg3oOLLnwXh5s2b6NevH96+fQsVFZVaxwsLC7+a2NLT06GgoPDVxKatrc3YM7FHjx6hb9++SEhI4A2I+VxKSgp69+6NsLAwdO3alYEIqcaA3uqkRNabN2+wdu1anD9/Hq9evYKKigo6deqEuXPnYvjw4b9cP4vFQnBwcK35ZcLgt99+Q3h4OGJiYpCens6X2F68eAEul8uXzAwNDTF06FDo6elBV1dXKJ9zVVdXw9HREatXr64z6QFA+/btsWfPHtjY2CA+Ph7KysoNHCXVGNDER4mk9PR0WFpaQl5eHuvWrUPnzp3B5XJx7do1zJo1CxkZGUyH+Euqq6vx6tWrOntsL168QGFhIbS1tfmSW/fu3Xl/VlZW5rtNKAq2b98OOTk5zJw58z/L2djYICYmBpMnT8a///4LMTGxBoqQajQIRYmgYcOGEQ0NDVJaWlrrWGFhISGEkC1bthBjY2MiIyNDNDQ0iJOTE+8YIYQUFRWRKVOmEFVVVcLhcIienh7Ztm0bIYQQHR0dgo8TyQgAoqOjwzvv7NmzxMTEhHA4HKKrq0uWLVtGKioqeMf79OlDZs+e/dWfjx49SkxNTYmsrCxRUlIi3bt3J56enmTGjBlkwIABRF1dnQAgKioqRF5enoiJiZGWLVsSHx8fEh4eTjIyMsjVq1cJAPL27VuBfaZMevz4MVFWVibPnz//rvJVVVWkb9++ZMWKFfUcGdUY0R4fJXIKCgoQFhaG1atX13nLTlFREQDAZrOxfft2tG7dGi9fvsTcuXMxd+5cHD16FACwYsUKJCUl4fz581BTU0NaWhrevn0L4OM6kC1atMD+/fthbW3N61VcunQJdnZ2WLNhM/SMuqG6NBeL3eehoqICmzdv5oujpKQEaWlpyMvLQ2JiIubNm4e0tDQkJCSgoKAA0tLSvHazsrKwfPly2NjYIDc3F9OmTYOenh42bNiAli1bYv78+Th58iS8vLzAYrHw/Pnz+vyIGxSXy4WTkxO8vLzQunXr7zpHXFwcJ0+ehKmpKbp3744RI0bUc5RUo8J05qWoHxUTE0MAkDNnzvzQeRcvXiSSkpKkpqaGEELIiBEjyPTp079aHgAJDg7me69Xr15k0u8exHDlv6Sj90XSdvkFMmneCsLhcMiiRYuIjY0NkZOTIxwOh8jIyJCOHTuS5s2bE2NjY7J161YSGhpKEhMTSXFxMa/OlJQUAoBkZmYSQgi5ceMGAUDCwsJ4Ze7cuVNnmcbQ49u5cyextLTk/V5+RGRkJFFVVSVPnz6th8ioxor2+CiRQ75zIPL169exbt06pKSkoLi4GDU1NbzJzBoaGvj9999hY2ODhIQEDBo0CCNGjKi17NWXEhIScCcyGmD/b4TmU8IFqa4Em83G2LFj8fz5c/z22284cOAAWCwWb1Snu7s7AODu3buYOnUqEhMTUVBQwLuejIwMtGrVildvp06deH/W0NAAAOTm5vKVEXVpaWnw8fFBRETET02RMDc3h4+PD8aOHYuoqCjIysrWQ5RUY0O3JaJEjoGBAVgsFlJSUr5a5uXLl7CyskL79u0RHByMhIQEHDx4EABQWVkJABg2bBhevnwJDw8P5OXlwcrKCtOnT//PtmtquFDuNQktHf/gvTQdtmLn0dNYvXo1Jk2aBAUFBUhLS9c5uOTdu3cYMmQIZGRkcPToUcTFxSEsLIwvrk8+n1LwqS4ut/Z6laKKEAJnZ2d4enrC0NDwp+v5/fff0aVLF8ycOfO7vxRRTRtNfJTIad68OYYMGYJdu3ahrKys1vGioiLEx8ejsrIS27Ztg7m5Odq2bYusrKxaZVVUVDB16lQEBgYiICAAhw8fRkXFx73fJCQkUFNTw1e+bbt2+JCbAQklDd6Lo6KNNSsWY9q0aXj69Ol/xp6amoq8vDysXbsWvXv3Rrt27ZCbm/sLn4boCggIQHFxMRYsWPBL9bBYLOzduxePHj3C7t27BRQd1ZjRxEeJpN27d4MQAlNTUwQHB+Px48dITU3Fnj170KlTJxgYGIDL5WL79u1IS0vDiRMnsH37dr46vLy88Pfff+Pp06dISUnBmTNn0Lp1a3A4HAAfd/i+du0acnJyUFhYiPfv36O0uAgfUm+jLOI4JIpfgVX8GuOaZ2HCaCt07NgR5ubmePLkSZ0JGQC0tbXB4XCwa9cuvHjxAhcuXMDKlSvr/fMSNq9evcLSpUtx8OBBiIv/+hMXGRkZnD59Gn5+foiMjBRAhFSjxugTRor6BVlZWWTOnDlET0+PSEpKkpYtW5KhQ4eSixcvEkII2bFjB9HQ0CBSUlKkf//+5NSpUwQASUtLI4QQsnr1atKhQwciLS1NlJSUyLBhw0hycjKv/rNnzxJ9fX0iLi5OdHR0iKOjI7GzsyNhYWHEzNyCSElJEzl5edK1a1eyc+dOQggh+fn5REtLi3A4HLJgwQKSm5tbazrDyZMnSevWrQmHwyHdunUjYWFhBAC5ceMGIaTugStpaWkEAImLi/tqGVHB5XLJ8OHDia+vr8DrPn/+PNHU1CTZ2dkCr5tqPOiSZRT1HY4cOYJ169YhLi7uu1Y9yc7Oxpo1a3DixAnMmTMHCxcuhIKCQgNEKvyOHj2KzZs3Iy4uDpKSkgKv39vbGzdv3sTVq1fpdkRUnWjio6hv+LR+5I0bN2BkZPRD56alpcHX1xcXL17EokWLMHv2bEhLS9dTpMIvJycHnTt3xsWLF2FiYlIvbdTU1MDa2hodOnTAli1b6qUNSrTRZ3wU9R/Kyspga2uLTZs2/XDSAwA9PT0EBgbixo0biIqKgoGBAfbt24eqqqp6iFa4EULg6uqKGTNm1FvSAwAxMTEcP34coaGhCAoK+vYJVJNDe3wU9RWEENjb20NMTAyHDh0SSJ1xcXFYsWIFnj9/Dl9fX0ycOLHJrDUZHBwMb29v3L17F1JSUvXe3r179zB48GCEh4ejQ4cO9d4eJTpo4qOorzhw4AB27NiBmJgYyMjICLTumzdvYtmyZSgtLcXq1asxcuRIkVtU+kfk5eXB2NgYoaGhMDMza7B2AwMDec9m6TNW6hOa+CiqDg8ePMCAAQNw+/ZttGvXrl7aIITgwoULWL58OaSlpbF27Vr079+/Xtpimp2dHdTV1Rl55jZr1izk5ubi9OnTjfrLBfX9aOKjqC+UlJSgW7du8PLygp2dXb23x+VyERQUhJUrV0JHRwdr1qxBjx496r3dhnL27FksWLAADx48EHjP+XtUVFSgd+/eGDduHDw9PRu8fUr40MRHUZ8hhGDSpElo1qwZ9u3b16BtV1VVITAwEKtWrULXrl2xevXqnxpQI0yKiopgZGSE48ePf3Md1PqUmZmJ7t274/jx4422V019Pzqqk6I+s3fvXqSmptZa5aUhSEhIwNnZGU+fPkWfPn0wYMAATJ06VaS3IFq4cCFGjRrFaNIDAC0tLRw7dgx2dnbIzMxkNBaKeTTxUdT/u3v3Lry9vREcHMzoXDspKSm4u7vj6dOnMDAwQI8ePfD777/XudaoMLt06RKuXbuG9evXMx0KAGDAgAFwc3ODjY0Nbz1WqmmiiY+iABQXF8PW1ha7du2CgYEB0+EAABQUFODl5YXHjx9DXl4exsbG8PT0RH5+PtOhfVNJSQlmzpwJf39/yMvLMx0Oj6enJzQ1NeHm5sZ0KBSDaOKjmjxCCBwdHTFs2DCMHz+e6XBqUVZWxsaNG5GUlITS0lIYGhpi1apVKC0tZTq0r1qyZAkGDhyIwYMHMx0KHxaLhcDAQFy/fh2BgYFMh0MxhCY+qsnbuXMnXr58KfTLW2loaGDPnj2IiYnB06dPoa+vj23btqG8vJzp0PjcvHkTZ8+eFdrPU0FBAWfOnMGiRYtw7949psOhGEATH9WkxcbGYvXq1QgKCuJtRyTs2rRpg6NHj+Lq1asIDw+HgYEB9u/fLxTLoL179w4zZszA3r17oaioyHQ4X9WxY0fs2rUL48aNQ0FBAdPhUA2MTmegmqyCggJ07doVW7duxZgxY5gO56fFxMRg+fLlePnyJVatWoUJEyaAzWbmO+2CBQuQm5uLY8eOMdL+j1qwYAFSUlJw4cIFxj4zquHRxEc1SYQQjBo1Cm3atMG2bduYDkcgrl27hmXLlqG8vBxr1qyBlZVVg65UEhUVhbFjx+Lhw4dQVlZusHZ/RVVVFQYOHIh+/frBx8eH6XCoBkITH9Ukbd68GSEhIbh161a97AnHFEIIzp49i+XLl0NBQQFr165F3759673d8vJy/Pbbb/Dz84ONjU29tydIOTk5MDU1xb59+2BlZcV0OFQDoImPanIiIyMxZswYxMbGQkdHh+lw6kVNTQ1OnjwJLy8v6OvrY82aNTA1Na239pYtW4YnT54gJCSk3tqoTxERERgzZgyioqLQpk0bpsOh6hlNfFSTkpeXBxMTE/z555+wtrZmOpx6V1lZiYMHD8LPzw9mZmbw8/MT+BY9CQkJGD58OO7fvw91dXWB1t2Qdu7ciYCAAERGRjKypijVcOjTXKrJ4HK5mDp1KiZNmtQkkh4ASEpKYtasWXj27BnMzc3Rt29f2NvbIy0tTSD1V1ZWYvr06diyZYtIJz0AmDNnDjp27IhZs2aB9gcaN5r4qCZjw4YNvP3vmhppaWl4eHjg6dOn0NXVhampKebMmYPs7OxfqnfdunXQ1tZukF0s6huLxYK/vz8SExOxd+9epsOh6hFNfFSTEB4ejh07duDkyZOQkJBgOhzGNGvWDL6+vkhNTQWHw0HHjh2xZMmSn5rL9uDBA+zatQt79+79pdGjPj4+QrMLhaysLM6cOQNvb29ER0czHQ5VT2jioxq9N2/ewM7ODoGBgWjVqhXT4TSYt2/fwtXVFbq6uuBwOFBTU8OAAQNw5coVqKqq4vTp03B1dUVBQQHatm2LNWvWoKys7Lvqrq6uhqOjI9atW/fLn6mHhwfCw8N/qQ5B0tfXx4EDB2Bra4s3b94wHQ5VD2jioxq1mpoaTJkyBQ4ODhg6dCjT4TSocePGITY2FgEBAXjy5AnOnz+PYcOG8S1yraioCH9/f0RFReHRo0fQ19fHjh07eMugcblc1NTU1Kp7y5YtUFRUhJOT0y/HKScnJ3Tz/kaOHAl7e3tMnDgR1dXVTIdDCRqhqEbM19eX9OnTh1RVVTEdSoMqLCwkAMiVK1fqPN6nTx8CgO9FyMfPS0xMjKiqqhINDQ0iJiZGkpKSSEFBAZk2bRpRVFQkHA6HSEhIkEuXLvHq09HRqVUfAJKWlka8vb3rPObt7U0IIcTb25t07Nix3j+TH1VdXU0GDRpEFi1axHQolIDRHh/VaF27dg179+7FiRMnIC4uznQ4DUpOTg5ycnI4e/ZsnYtYnzlzBq1atYKXlxeys7N5g1y0tbUBAC1atECLFi2gpaWFhIQE2NvbIzIqGpv2HYWBURcYGhrCyckJHz58AADExcXx6snOzoa1tTXatWsHNTU1eHh48B07cuQIxMXF0bNnz4b7QH6CmJgY/vrrLwQFBeH06dNMh0MJEtOZl6LqQ1ZWFmnZsiW5evUq06EwJiQkhCgpKREOh0PMzMzIwoULSXR0NO+4jo4O2bRpE985hw4dIgBIfHw84XK55PLly8TIyIgAIJpT1hODpf8Q3UWh5Hj4I6KgoED2799fq93169cTZWVl8uzZs1rHUlNTiaKiItm2bRvvPWHt8X0SFxdHVFRUSEpKCtOhUAJCe3xUo1NdXY1JkyZh1qxZGDBgANPhMGbcuHHIysrCuXPnMGzYMERGRsLMzAxr1679z/PExcXRpUsXsFgsDBo0CItXeAMsNsRatkMlEQMRk4D3pTQYGLZDcnIy37nnzp2Dt7c3Tp8+XWsFlKKiIowcORLjx48XqY1gTU1NsX79eowZM0ao90Ckvl/Tuv9DNQk+Pj6QkJDA8uXLmQ6FcVJSUhg0aBAGDRoELy8vzJgxAz4+PvDw8PjqORwOB2JiYryf88sqa5WprqxAYtJDpD1/hrKyMlhaWkJVVRV2dnbYvXs3+vTpw1++uhq2trbQ1NTErl27BHeBDcTJyQnR0dFwdHREUFBQgy7+TQke7fFRjUpYWBgCAwNx/Phxvv+8qY86dOiA6upqlJeXQ1JSss4Rm18y79oZIFxUvE7lvSfOJpCRFMfs2bNhbGyMv//+GyNHjkR1dTUuXLiALVu2IDo6GpWVH5Omm5sb0tPTERISIrLzKHfu3In09HRs3bqV6VCoX0R7fFSj8erVKzg4OCAoKAgtWrRgOhxG5efnw9bWFo6OjujUqRPk5eURHx+PjRs3YsCAAVBQUICuri5u376NKVOmgMPhQEVFpc66khPjIKuiicJLu6E5Yj6IpDSUUv9GuYICli5dCmlpaYSEhMDMzAzbtm1DfHw8YmNjcejQIaSlpUFTUxNpaWlYtWoVcnJyeMnw0wAcUSElJYWQkBD06NEDXbt2bZBdL6h6wvRDRooShMrKSmJpaUnWrl3LdChCoby8nCxdupSYmpoSRUVFIi0tTfT19Ym7uzvJz88nhBASFRVFOnXqRDgcDm86w6FDh4isrCyvnqSkJKKiokLu3LlDJkyyI/IKzYiUlBQZMGAAefjwIa8c6piuAIA8ePCADBo0qM5jI0eOJI8fPyZeXl5CPbjlS5cvXyYtW7YkmZmZTIdC/SS6OwPVKCxevBhJSUk4f/483UlbQMrKymBqaoqlS5fC3t5eIHVWV1cjKSkJERERvFd5eTksLCxgaWkJS0tLdO3aFRwORyDt1Ze1a9fi3LlzCA8Pb1T7OTYVNPFRIu/8+fNwdXXF3bt3v3q7jvoxhBBMmTIFUlJSCAgIqNe2MjMz+RLh48eP8dtvv/ESoYWFhdD9XrlcLsaMGQMtLS2RHKzT1NHER4m0ly9fonv37ggNDYWFhQXT4TQa+/btw+7duxEdHd3ge9OVlpYiJiYGkZGRiIiIQHR0NFq2bMlLhJaWlmjbti3jIyuLiorQrVs3eHl5YerUqYzGQv0YmvgokVVZWYnevXvDxsbmP4fnUz/m7t27GDJkCO7cuQNDQ0Omw0FNTQ0ePnzI1yt89+4dLCwseLdITU1NISUl1eCxJSUloX///rh69So6d+7c4O1TP4cmPkpkubu74/nz5/jnn38Y//bfWBQXF8PExARr167FhAkTmA7nq16/fs2XCFNSUtC5c2e+XqGqqmqDxHLixAmsWLEC8fHxUFJSapA2qV9DEx8lkkJDQ7FgwQLcvXuX/mcjIIQQ2NjYQF1dHbt372Y6nB9SVlaG2NhYXiKMjo5GixYt+BJhu3bt6u0L0vz58/H8+XOcPXuWDq4SATTxUSLnxYsXMDMzw/nz59G9e3emw2k0duzYgaNHjyIiIkLoR1V+S01NDR49esTXKywpKeEbPWpqagppaWmBtFdZWYn+/ftjyJAhWLlypUDqpOoPTXyUSKmoqIClpSWmTZuGefPmMR1OoxEdHY2RI0ciOjoarVu3ZjqcepGVlcWXCJOTk9GpUye+XuGXCx+wWCwEBwfDxsbmu+rv1q0bAgICau39mJ6eDj09PcTFxcHU1FSg1wUAffv2hZGRER1h+p1o4qNEypw5c5CTk4Pg4GD6XE9A8vPzYWJigh07dmD06NFMh9NgpkyZguPHj/N+ZrFYkJaWxuDBgzF8+HBYWlpCUVERysrK390Dvn37NmxsbBAdHQ09PT3e+/Wd+AoKCiAhIQF5eXmB190Y0ZvRlMgICgpCWFgYAgICaNITEC6Xi2nTpsHGxqZJJT3g4y4UAwcO5O0TGBsbCyMjI0RHR+PWrVuwtraGkZERxo0bh7Vr1yI8PJy3/+DX9OrVC0uXLsW4ceO+WVYQPi3/1rx5c5r0fgBNfJRIePr0KebMmYOgoCA0a9aM6XAajU2bNqGwsBDr169nOhRGcDgcqKurQ11dHaampli5ciVycnLg7++PFy9eoLCwEIaGhnj79i0WLVqEZs2agcPhQFxcHEpKSrC1teXVRQjBli1bsHv3bty/fx8qKiqYv3AR7mcWofBdBYCP804HDRoEGRkZdOjQAVeuXOGLJzk5GVZWVpCXl0eLFi0wadIk5OTk8I47ODjA2toaGzZsQKtWrdCqVSsAH291zpkzpwE+scaBJj5K6H348AG2trbw9fWFiYkJ0+E0Grdu3cK2bdtw6tQpkd0xQZBKS0tx6tQpGBsb8w16MTc3x7Zt27B48WJISUnBx8cH7u7u6NChAy5cuIA2bdpg2rRpGDZsGHx9fbF48WLcvXsXyh0t8dfDMkwJiIHNvigAwPLlyzFv3jzcv38f3bp1w8SJE1FWVgYAyM7ORu/evWFkZITY2FhcvXoVZWVlGDVqFLhcLi+e8PBwPHjwAGFhYbh27VrDfkiNBN2dgRJ6bm5uaNeuHWbNmsV0KI1Gbm4uJk+ejEOHDkFLS4vpcBgTFhbG2yHi3bt30NLSwr///ltn2ZcvX6Jly5bw8PDgfVHgcrlISUnBtWvX4O7ujubNm2PRokXo1rMfJPrPAZslhtKKalRXfUxczq5zMGLECAAf1/s8cuQIEhMT0bNnT+zZswedO3fGhg0beG0eOXIEzZs3R3x8PG8Es5SUFA4ePCjyI2+ZRHt8lFA7fvw4bt68if3799PnegJSU1MDOzs72NvbY9iwYUyHw6jevXsjMTERiYmJiI2NxYABAzB48GBkZmbWKmtra4vy8nLo6enByckJwcHBqKqqQseOHWFmZgYul4vIyEikpKRguO1UsFB73KCqdlvenzU0NAB8/BICAAkJCbh16xZvuyY5OTnel5Lnz5/zzjMyMqJJ7xfRxEcJrdTUVLi5uSE4OJg+uBeg1atXo6qqCr6+vkyHwjgZGRno6+tDX18f3bp1w4EDB1BSUgJ/f/9aZbW0tPD48WPs27cPCgoKWLhwIbp27Yp3797xlVNXV8fUscMhXseuDRrN/7f/4Kcvcp9uY3K5XFhZWfES8afX06dPYW1tzTtPVlZWINfelNFbnZRQev/+PWxsbLBu3Tp06tSJ6XAajatXr2Lfvn1ISEiAuDj95/8lFosFNpuN9+/f13lcSkoKVlZWsLKywpIlS6Curo6IiAiYm5uDw+Hg2rVrMDAwgLIcB0Onkv4AACAASURBVBvHdsLCoHvgVldBTOJjH0NR5utbGJmYmCAoKAg6Ojr0mWs9oz0+SijNnj0bJiYmcHJyYjqURiMrKwtTp07FsWPH0LJlS6bDEQoVFRXIyclBTk4OUlJSMHfuXJSVlfGew30uMDAQBw4cQFJSEtLS0nDo0CFISEjAwMAA8vLymD9/PpYuXYpDhw7h+fPnUK98jc4vTsC0NAohLubfjGX27NkoLi7GhAkTEBMTgxcvXuDq1auYOXMmSktL6+Pymyz6lY8SOoGBgYiJiUFcXBx9ricg1dXVmDhxIlxdXdG/f3+mwxEaV69e5X0JkJeXR7t27RAcHIy+ffvWKquoqIgNGzbAw8MDVVVV6NChA86cOcObqL5u3TooKSnBz88Pr169gpqaGgwMDGCqrQkl2W8/k9PQ0EBERASWLl2KoUOHory8HNra2hg8eDB9pidgdOUWSqg8fPgQ/fr1w82bN9GxY0emw2k0li5dirt37+LixYt0EeUGtHTpUsjLy2PZsmVMh0J9hvb4KKFRVlYGW1tbbN68mSY9Abpw4QKOHTuGu3fv0qTXwIqKipr0dBFhRRMfJRQIIZg1axYsLCxgb2/PdDiNRkZGBhwdHXH69OkG25+O+p+ioiIoKioyHQb1BZr4KKFw4MABPHjwANHR0UyH0mhUVlZiwoQJ8PDwQM+ePZkOp0miiU840cRHMS4xMRHLli3DnTt3ICMjw3Q4jcaSJUugqqqKhQsXMh1Kk0UTn3CiN/wpgfmZhXJLSkpga2uLP/74A4aGhnWWiY+PB4vFQnp6+i/HyGKxEBIS8sv1CLvQ0FCEhoYiMDCQPtdjEE18won+i2hiHBwcwGKxeC8VFRVYW1sjNTW1wWMhhGDGjBkYOHAgJk2a1CBtZmdn1zlHqzF5/vw5XFxccOrUKTRv3pzpcJo0mviEE018TdDne5BdvnwZHz58wJgxY366vurqavzMrJg///wTz549w7Zt23667e/1ad8ydXX1Rj0nqry8HOPHj8fKlSt5ixpTzKGJTzjRxNcEfb4HmYmJCdzd3ZGamsrbOHPJkiUwNDSEtLQ0dHV14enpifLyct75Pj4+MDIyQmBgINq0aQMOh8Nbr7C6uhrz58+HkpISlJSUsGjRIr4tVfYcOISOnU0gIyOLuXPnQk1NDfn5+XzxhYWFoV27dpCSkkKvXr3w5MmTWtdw5swZGBsbg8PhQEtLC2vWrOFLvrq6uvDx8YGjoyMUFRVhZ2cHoPHf6lywYAFat25N92YTAhUVFaipqeHb4ogSDnRwSxNX1x5ksrKyOHjwIDQ1NZGcnIxZs2aBw+HAz8+Pd15aWhr++usvBAcHQ1JSElJSUgA+7qbg4OCAqKgoPHjwAM7OzmjZsiUWLFiAfxJfY9XZB5DsOBpK3VUxSLkUL2MuYtKkSbh16xYAIDMzE6NHj4azszNmz56NBw8eYMGCBXwxJyQkwNbWFitWrICdnR3i4uLg4uICBQUFzJ07l1du69atWLFiBeLj43+qRypqTpw4gStXrvCeiVLMKi4uRrNmzejvQhgRqkmxt7cnYmJiRFZWlsjKyhIAREtLiyQlJX31nD179pA2bdrwfvb29ibi4uIkJyeHr1yfPn2IgYEB4XK5vPf8/PyIpqYmySstJ4Yr/yU6S87zXoYr/yVR8fcJAJKZmUkIIWTp0qV11gGApKWlEUIImTx5MunXrx9f297e3kRTU5P3s46ODrG2tq51LQBIcHDwd3xSoiUlJYWoqKiQe/fuMR0K9f8eP35M9PX1mQ6DqgO91dkEfWsPspCQEPTs2RPq6uqQk5ODu7s7MjIy+Opo1aoV1NTUatVtZmbG9w3X3Nwcr1+/RmrGG0iw2ajIeYbcED+8+nM6nm4Yh/69LQCAV39KSkqddXwuJSUFlpaWfO/17NkTr1+/RklJCe89U1PTn/l4RM779+9ha2uLtWvXokuXLkyHQ/0/+nxPeNHE1wT91x5k0dHRmDhxIoYMGYJz587h3r17vP3bPveje4JpKkqjovw9ck95gSXBgYr1Qmg7bUdw6FkA/xt88qs+T5hNZd+yOXPmoEuXLpgxYwbToVCfoYlPeNFnfBTfHmQRERHQ1NTEypUrecdfvnz53XXFxMSAEMJLQNHR0dDQ0ICuhipmdZLCwg8lUOs3FURWBTsmd0PFixi+89u3b4/Tp0/XquPLMhEREXzv3blzB61atWpyG9YeOnQI0dHRiI2Npc+ShAxNfMKL9viaoP/ag6xt27Z4/fo1jh8/jhcvXmDPnj04ceLEd9edlZUFNzc3PH78GCEhIdi0aRPc3d0BAFMHmYLD4cC8IgGlx+cjK/ocX4IFgFmzZiE9PZ2vjr179/KVWbhwIcLDw+Hj44MnT57g+PHj2LJlCzw9PX/9wxEhSUlJ8PT0REhICOTk5L59AtWgaOITXjTxNUGf9iBr2bIlevTogbi4ON4eZCNGjMCiRYvg5uaGTp064cqVK1i1atV3121nZ4eamhr06NEDzs7OcHJy4iU+VVVVHD58GNE3LqPozWv4+Phg69atfOdra2vjzJkzCAsLQ+fOnbFt2zasX7+er4yJiQmCg4Nx+vRpGBkZYcmSJViyZEmTGsJfWloKW1tbbN26FR06dGA6HKoONPEJL7ofH8WIFy9eoEePHsjMzORNhaC+DyEEkydPhpycHPbv3890ONRXLFu2DLKysli+fDnToVBfoD0+ihGtW7eGiYlJo55MXl/27duH5ORk/PHHH0yHQv2H4uJi2uMTUjTxUYxxcXHBvn37mA5DpNy9excrV65EcHAwXRFEyNFbncKLJj6KMSNGjMDz58/x6NEjpkMRCUVFRbC1tcXu3bvRtm1bpsOhvqGoqAjNmjVjOgyqDjTxUYyRkJCAo6Mj/P39mQ5F6BFC4OjoiOHDh2P8+PFMh0N9B9rjE1408VGMcnZ2xvHjx3kLZFN127FjBzIzM7F582amQ6G+E018wosmPopROjo66N69O4KCgpgORWhFR0dj3bp1CAoKatRbKjU2NPEJL5r4KMbRQS5fl5+fjwkTJmD//v3Q09NjOhzqB9DEJ7zoPD6KcdXV1dDV1cXFixdhbGzMdDhCg8vlYsSIEejQoQM2bdrEdDjUD6isrISMjAyqqqroUnJCiPb4KMaJi4vDycmJ9vq+sHHjRhQVFWHt2rVMh0L9oE9z+GjSE060x0cJhczMTHTu3BmZmZlNZleF/xIeHo4JEyYgPj4erVq1Yjoc6gc9e/YMQ4cOxbNnz5gOhaoD7fFRQkFLSwuWlpY4deoU06EIhK6u7jdHYMrJySEwMLDW+2/evIGdnR0CAwP5kp6Pjw+MjIz4yvr4+EBNTQ0sFguBgYF1lqEaHn2+J9xo4qOEhqgMcnFwcACLxQKLxYK4uDi0tbXx+++/o7CwkFcmLi4Orq6uP1x3TU0N7OzsMH36dAwdOvQ/yz58+BC+vr7Yu3cvsrOzMWHCBHh4eCA8PPyH26UEiyY+4UYTHyU0hg0bhuzsbCQmJjIdyjcNHDgQ2dnZSE9Px4EDB3Du3Dm+RKeqqgoZGZkfrtfPzw9cLhc+Pj7fLPvpNtro0aOhrq4OaWlpyMnJQVlZ+YfbpQSLrtoi3Gjio4SGmJgYZsyYIRK9Pg6HA3V1dbRq1QqDBw/GhAkTcPnyZd7xL291Pnv2DH379oWUlBQMDQ1x/vz5WnX6+/tj3bp1iIqKgqqqKhwcHFBcXFxn+z4+PhgzZgwAgM1m8wZR0FudwoH2+IQbTXyUUHFycsKpU6dQVlbGdCjf7cWLFwgLC4OEhESdx7lcLsaMGQMul4uoqCgcPHgQPj4+qKioAADkl1XgXMR9/O7qim7duiE2NhahoaGIjIyEo6NjnXV6eHjwtiTKzs5GdnZ2/Vwc9VNo4hNu4kwHQFGf09TURO/evXHixAk4OzszHc5XhYWFQU5ODjU1NSgvLweAWpvqfnL16lUkJycjLS0N2traAIDt27ejV69euJtRiPUbryMv5h8QcQ7mbAiAsbEhgI89wH79+uHZs2fQ19fnq1NOTo73H6u6unp9XSb1k2jiE260x0cJHVEY5NK7d28kJiYiNjYWc+fOxfDhwzFv3rw6y6akpEBTU5OX9ACgR48eYLPZCE7IRHkVF5WFOZBU1YXPpRfIL/vYE7SwsACbzUZycnKDXBMlODTxCTea+CihM3jwYOTl5SEhIYHpUL5KRkYG+vr6MDY2xh9//IH379/Dz8/vxyv6YhqtBJuNV4X8C3bTSdCihyY+4UYTHyV0xMTE4OzsLPS9vs95e3tjw4YNyMrKqnWsffv2eP36NTIzM3nvxcbGgsvloqqqGgAgoayFyrcvUfGhDK2UPm4wGxkZCS6Xi/bt2zfMRVACQxOfcKOJjxJKjo6OCA4ORklJCdOhfJe+ffuiQ4cOWL16da1jAwcORLt27TBt2jQkJiYiKioK7u7uYLFY0KzMgJQEGy1+GwC2uCS4F9chK+0Jbt26BRcXF4wdO7bW8z1K+H1asowSTjTxUUKpZcuW6N+/P/766y+mQ/luCxcuREBAAF6+fMn3PpvNRmhoKLhcLnr06IFp06bxJqfPshmKCM/+OPl7XxwOPIiM1AcwNTXFqFGjYG5ujoMHDzJxKdQvoj0+4UbX6qSE1uXLl7F48WLcvXu3UT3nysvLQ+fOnfHXX3+hT58+fMeuX7+OSZMm4fbt22jbti1DEVK/SktLC5GRkdDS0mI6FKoOtMdHCa2BAweipKQEcXFxTIciMIQQuLq6YuLEibWSHgD0798fa9asgZWVFfLz8xmIkBIE2uMTbjTxUUKLzWaL3CCXbzl58iQePnyINWvWfLXMjBkzMHr0aIwbNw6VlZUNGB0lCNXV1fjw4QPk5OSYDoX6CnqrkxJqb968Qbt27ZCeni7yax++fv0aJiYm+Pfff9G1a9f/LFtTU4Nx48ahefPmCAgIaFS3ehu7/Px8GBgYoKCggOlQqK+gPT5KqKmpqWHQoEE4duwY06H8EkIIZsyYAVdX128mPeDjlI7jx48jMTERGzdubIAIKUGhtzmFH018lND7tJKLKN+c8Pf3R15eHpYtW/bd58jKyuLcuXPYuXMnzpw5U4/RUYJEE5/wo4mPEnr9+vXDhw8fEB0dzXQoP+X58+dYsWIFjhw58tWFrL9GU1MT//zzD1xcXBAfH19PEVKCRBOf8KOJjxJ6bDYbM2fOFMlBLjU1NbC3t8eyZct+egWWrl27wt/fH6NHj8arV68EHCElaHTyuvCjuzNQIsHBwQEGBgYoLCyEkpIS0+F8ty1btkBcXBzz58//pXrGjBmDp0+fYsSIEbh9+zYdMSjEaI9P+NEeHyUSVFVVMWzYMBw9epTpUL5bUlISNm3ahMDAQLDZv/5PbdGiRTAxMcHkyZNRU1MjgAip+kATn/CjiY8SGaI0yKWyshJTp07Fhg0boKurK5A6WSwW9uzZg7KyMixevFggdVKCRxOf8KOJjxIZffr0QU1NDSIiIpgO5ZtWrVoFLS0tTJ8+XaD1SkpKIiQkBOfOnePtwE4JF5r4hB99xkeJDBaLxRvk0rNnT6bD+aro6GgcOHAAiYmJ9TLxvHnz5jh//jx69uyJ1q1bY8CAAQJvg/p5RUVFIr/YQmNHe3yUSLG3t8e5c+eEdh3L9+/fY9q0adi1axfU1dXrrR0DAwOcOnUKkydPRmpqar21Q/042uMTfjTxUSJFWVkZ1tbWOHLkCNOh1Gnx4sXo3r07bGxs6r2tvn37Yv369bC2tkZeXl69t0d9H5r4hB9NfJTIEdZBLlevXsXff/+NnTt3Nlib06dPh42NDcaMGYOKiooGa5f6Opr4hB9NfJTI6dmzJ9hsNm7dusV0KDxFRUVwdHREQEBAg88zXLt2LVq0aAFnZ2eh+zLQFNEJ7MKPJj5K5LBYLF6vT1jMnz8f1tbWGDx4cIO3zWazcfToUSQnJ2PdunUN3j7Fj/b4hB/dlogSSYWFhdDT08PTp0+hqqrKaCyhoaHw9PREYmIiZGVlGYsjKysLZmZm2LJlC2xtbRmLoymrqakBh8NBZWWlQBYtoOoH/c1QIklJSQmjRo1CYGAgo3Hk5ubC1dUVhw8fZjTpAYCGhgbOnj0LV1dXxMbGMhpLU1VSUgJ5eXma9IQc/e1QIsvFxQX+/v7gcrmMtE8IwcyZM+Hg4AALCwtGYvhSly5dEBAQgDFjxiAjI4PpcJoceptTNNDER4ksc3NzSElJ4caNG4y0f+TIEaSlpcHHx4eR9r9m5MiRWLBgAaytrVFaWsp0OE0KTXyigSY+SmQxOcglIyMDixYtwpEjR8DhcBq8/W9ZsGABzMzMMGnSJLqgdQOiiU800MRHibQpU6bg8uXLePPmTYO1yeVyMX36dLi7u6Nz584N1u6PYLFY2L17N8rLy7Fw4UKmw2ky6HJlooEmPkqkKSoqYuzYsTh06FCDtbl79268f/8eixYtarA2f4aEhASCg4MRFhaGPXv2MB1Ok0B7fKKBJj5K5Lm4uGD//v0NMsjl8ePH8PX1xZEjRyAuLvxrvCspKeHChQvw9fXF5cuXmQ6n0aOT10UDTXyUyOvevTvk5eVx9erVem2nuroa06ZNg6+vLwwMDOq1LUFq06YNgoODMWXKFCQnJzMdTqNGe3yigSY+SuQ11CCX9evXo1mzZvj999/rtZ360KtXL2zevBnW1tZ4+/Yt0+E0WjTxiQaa+KhGwc7ODtevX0d2dna91H/v3j388ccfOHjwoMhOTp42bRomTZqE0aNHo7y8nOlwGiWa+ESDaP4LpqgvKCgowMbGBgcPHhR43eXl5Zg6dSq2bt2KVq1aCbz+huTn5wcNDQ04OTnRBa3rQXJyMqZPn85I2ywWCyEhIYy0LWpo4qMajU+DXAQ9b83LywuGhoaws7MTaL1MYLPZOHz4MJ4+fQo/Pz+mw6kXb968gbu7OwwMDCAlJYUWLVrAwsICO3fuRFlZWb22/e7du3qt/79kZ2djxIgRjLUvSoR/WBpFfSdTU1MoKyvj8uXLGDZsmEDqvH37No4dO4b79++DxWIJpE6mycjI4OzZs+jRowfatm2LiRMnMh2SwKSnp8PS0hIKCgrw8/NDp06dIC0tjUePHuHAgQNQVlbG5MmT6619JhOfuro6Y22LHEJRjci+ffvIqFGjBFJXSUkJad26Nfnnn38EUp+wuX//PlFVVSVRUVFMhyIwQ4cOJa1atSJlZWV1HudyuYQQQgCQ4OBgvmM6Ojpk06ZNvJ+3bNlCjI2NiYyMDNHQ0CBOTk6ksLCQ75zDhw8TbW1tIi0tTaysrEjz5s3J5/+tPnv2jIwcOZKoqakRGRkZ8ttvv5Fz587x1ZGTk0NGjBhBpKSkiLa2Njl48CDp2LEj8fb25pUBQPbt20dsbGyIjIwM0dPTI0ePHuWrp65roupGb3VSjcqkSZMQHh6O169f/3JdHh4e6NOnD0aOHCmAyIRPp06dcOjQIYwdOxbp6elMh/PL8vPzcenSJcyePfurO2X8SK+dzWZj+/btePToEf766y/ExsZi7ty5vOMxMTFwcHDAzJkzkZiYiH6Dh6KwqJivjrKyMgwbNgxXrlzB/fv3MW7cOIwdOxapqam8Mvb29nj58iWuX7+Of/75B8eOHcPLly9rxbNq1SqMGjUK9+/fx4QJE+Do6EgXIv9ZTGdeihI0FxcX4uvr+0t1/Pvvv0RHR4cUFxcLKCrhtW3bNmJkZFTntUKIehH29vbEysrqq8ejo6MJAHLmzBm+9zU1NYmsrCyRlZUlLi4uhJDv6/F96eLFi0RSUpLU1NQQQgiZNGkSGThwICGEkL/vvSKGK/8lsh37EQDkn3uvvlpPjx49iJ+fHyGEkNTUVAKAr9edkZFB2Gx2rR7fkiVLeD9XVVURaWlpvl6fMP2uhB3t8VGNjouLCw4cOPDTg1wKCgrg7OyMQ4cOQUFBQcDR1cZisf7z5eDgUK/tz58/Hz179sSECRNQXV1dr239ih07duDYsWM/fN7t27eRmJiI7t27f/c0DkIILly4gF69ekFNTQ0yMjIYNWoUKisrsWLFCnh6euLSpUvIzMxEzwFDMf+vWJRXccHRNgYAuJ9KQNA//+LVq1fw9PREhw4doKSkBDk5OcTHx/N6aqmpqWCz2TA1NeW1raWlBQ0NjVoxderUifdncXFxqKqqIjc394c/D4oObqEaod9++w3q6uq4ePEirK2tf/j82bNnw8bGBv369auH6Gr7fO7h+fPn4ezszPeetLT0D9VXWVkJSUnJ7y7PYrHwxx9/wMrKCu7u7ti5c+cPtddQvrX4s76+PlgsFt9tREIIVFRUUFBQgKqqKmRlZSEoKAgsFgunT59GdHQ0CgoKkJ+fj+zsbGzatAlbtmxBfn4+qqqqICsrCzU1Nejo6AAA4uLiUFBQAD09PcjKysLY2BhDJs3Euph3+PxrFhsE2w8chZ1NCFgsFnr16oUJEyagR48eWLVqFSorK3/4+iUkJPh+ZrFYjO1FKepoj49qlH52JZdTp04hMTER69atq4eo6qaurs57fZr8/Pl7J0+ehL6+PiQlJaGvr4/9+/fznf9pJ4axY8dCVlYWy5Ytg4+PD4yMjHDy5Em0adMG8vLyGD16NPLy8njnxcXFYfDgwVBRUYGysjJKSkpw7tw57Nq1i6/+nJwcWFlZQUZGBjo6Ony9rvT0dLBYLMTHx9eK6fM5ZUlJSRg4cCCkpaXRvHlzODg4oLj4f8/DHBwcYG1tjR07dkBTUxNKSkqYPn063r9/D+BjAps8eTL69++PhIQEXLlyBSdPnsSff/6J1atXY8GCBVi4cCFUVFTg4+MDQ0NDqKmpQVJSEi1btkSvXr1w//59JCUlITg4GFJSUsjLy4OamhosLS0xevRoVFVVYerUqUhISMDhw4fBZrNRXFyM58+fIzY2ljf6dcmSJVi8eDF69uyJ/Px8/H08ANz/nxJZmfUx6YpJSOLciUAYGhrCwcEBY8eOxZMnTzBr1ixER0fj6tWrWL16NYqKisDlcpGQkMD7LF69eoWsrKwf+0tE/RCa+KhGaeLEiYiIiEBmZuZ3n5OdnY158+bhyJEjP9zLqi+hoaGYM2cO3Nzc8PDhQ8yfPx+urq44d+4cXzlfX18MHz4cSUlJmD17NoCPSenUqVMIDQ3F5cuXce/ePSxfvpx3TmlpKaZOnYrbt28jNjYWpqamKCwshJ+fH8LCwpBfVgEA8PLyxsiRI5GYmIiZM2di2rRptRLdf3n37h2GDBkCOTk5REdH48iRIwgPD8eYMWNw6dIlnDhxAikpKbh69Sr2798PU1NTtG3bFkePHoWOjg5UVVV5O01ER0fD2dkZGzZsQGhoKJKSkvDhwwdoamqiT58+8PPzg5ycHCorK+Hj44O4uDjcvXsXGzZsQLNmzTB8+HAEBwdj1KhRyMjIQL9+/WBiYoKgoCBISUlBXV0dGhoa6NixI7hcLrZv3460tDScOHEC27dv57uucePG4caNG3iT8RwLzRRRnnQZH55EAwA2ju0EZTkODA0NER0dDXNzcyxZsgSmpqaQk5ODgYEBiouL4e/vDzabjX79+mHcuHFYs2YNJk6cCBkZmUYzfUYoMfyMkaLqjaurK/Hy8vquslwulwwfPvy7y9eX4OBgvuHwFhYWZPr06Xxl7O3tiaWlJe9nAGTOnDl8Zby9vQmHwyFFRUW891avXk3atGnz1ba5XC5RV1cnK1euJOo9rIjB8gsEAGn22xC+wRoDBgwgkydPJnl5eeT69esEANm+fTs5duwY+eOPP4i3tzcBQHr16kWGDRtG9PT0CJvNJs2bNydiYmKkWbNmRF1dnQAgPXv2JBMnTiSGhoZEXl6ebN68mQQGBpKzZ8+SESNGEDMzM/LmzRtSWVn5zcEtn2RnZ5N58+aRNm3aEElJSSIrK0tMTU3J2rVrSUlJCSGEkNevX5OhQ4cSWVlZ0rp1axISElJrcMuOHTuIhoYGkZKSIv379yenTp0iAEhaWhq5ceMGUVNTI5MnTyZaWlpESkqKDBg0mCxZtYHv95eenk4GDBhAZGRkiKamJtm0aROxsrIi9vb2fGUsLS2JuLg4kZaWJoqKioTNZpMOHTqQjRs3ktu3b3/XYJy6ylB1o4mParTu379PNDU1SVVV1TfL+vv7ExMTE1JZWdkAkX3dl4lPSUmJHDhwgK/M/v37iZKSEu9nACQwMJCvjLe3N2nbti3fewcPHiTy8vK8n9+8eUNmzpxJDAwMiIKCApGVlSVsNptMme5E9Bb/TXSWnCcAiPKweUTXM5R0tehD2rRpQ6SkpAgAoqSkRLS1tQkAYm5uTiZPnkzmzJlDvLy8eMn4/PnzZOLEiaRr167k7du3vN9FRUUFYbPZvDmS9vb2ZPDgwXzxenl5EWNjY97P35v46tuff/5JWrRoQa5cuVIv9efm5hIJCQni5uZG5s6dS0xNTYmMjAzp0aMHcXNzI0FBQSQzM7Ne2m4q6OAWqtHq1KkTtLS0cOHCBYwaNeqr5V68eIFly5bh5s2btQYQCKsvb4PVNW/ty2shhKCmpga3b99Geno6Vq1ahYKCAmhqakJeXh65ublgsVi4fisSUuOsgM+a4EhIwH3lavTQV8fevXtx/fp13L17FxkZGdDR0cGOHTvQrVs3AEBVVRVWrVqFPn36wMrKCteuXcOrV6+goqLyn9ch7IM3qqqqMG/ePISHhyMiIgL6+voCqff69esoLS2FsbExcnNzsXz5cqioqGD16tW83+v79+8RHx+PyMhIHD16FK6urpCWloa5uTksLCxgYWGBLl26iMzfX6bRxEc1ap8GuXwt8dXU1MDBwQFLlixBx44dGzi6b2vfvj0iIiLg5OTEe+/OnTvo0KFDrbJcLhfZ2dlIT0/HgwcP8PbtW8yYMQPp6em8F5fLMrOB/QAAIABJREFUxZIlS6Crq4uMjAxMnjwZdnZ20NXV5Q2esRs/FmfFpVBT9THpVGQ9BkyHYmjPblCW4+D+/fto3749AEBVVRUA/8jUxMTEWtdw8OBBlJaWQl5eHgAQGRkJLpfLq0fY5eXlwcbGhvecUpDTXKqqqrBixQq8ePECMjIyMDMzw61bt/i+zMjIyKB3797o3bs3gI9fYp49e4aoqChERkYiICAAL168gImJCSwsLGBubg5zc3O0aNFCYHE2JjTxUY3a+PHjsXDhQqSnp0NXV7fW8U8DFtzc3Bo4su+zaNEi2NraomvXrhg4cCCCg4Nx7NgxuLm5Ye3atbwVV+bOnYspU6ZASUkJurq6KC0tBZfLRffu3TF+/Hjo6uoiPDwc7u7uiIiIAPBxDllGRgY0NDRQWFgIT09PSEpKQkZSHBtHd4LnmQcAgA9PojAQ/VGQrQ//kBBcu3YNMTExAD5OtTAzM8OGDRvQpk0bFBcXY+nSpXzXYGdnB29vb0ybNg2rVq1CYWEhXFxcMHbsWIH1mupTUlISRo0ahfHjx2PNmjUQExMTaP1DhgzBkCFDfugcFosFAwMDGBgYYNq0aQA+7v4eGxuLyMhI7NmzB/b29lBRUeH1CM3NzWFkZCTw+EUS0/daKaq+zZ07lyxfvrzW+w8fPiQAyIYNG3jv4QcGCBw6dIjIysoKLE4ul0v2799PAJCTJ0+SdevWERcXF9KhQwciISFBABAxMTGiq6tLxo8fTzw9PcmePXt4g0vev3/Pq8vb25t07NjxP+NNTEwk3bt3J1JSUqR169bkyJEjfGtE5pWWEwBk/eZtZMiQIURKSopoaWnVep6YnJxMLCwsiLS0NDEyMiK3bt2q9Tk+ePCA9O/fn0hJSRFFRUVib2/PN/Cmrud3X14DE8/4QkNDiYqKCjl27FiDtisINTU15OHDh8Tf3584ODgQQ0NDoqCgQAYMGEBWrlxJLl68SAoKCpgOkxEsQuimXJRwcnBwwOHDh+Ho6IiAgAC+Y4sXL8bGjRthZWWF8+fP/2c9jx49wqBBg/Dy5UveM5DKykqYmZkhOTkZe/fu5a2OkpOTAyUlJXA4nG/G9+HDB5SWln737SRCCPLy8ni3HdPS0vhuQ6anp0NWVvb/2rvzuJry/w/gr3vrtl6lTWhPIhQhUsg2GFskU1mTpUWGQchMM2PGlC2GocaSCtlH9rFOmtKUlJLsmtIoFMnS3v38/vDrfOdOZa3urd7Px+M+Hrrn3HPe95L3/WzvDwwNDbmHkZER92cDA4Naa1CSusUYw08//YRff/0VkZGR3PhlY/f06VPEx8cjLi4OcXFxuHLlCvT19cXGCk1NTRvtZsvvixIfkVqurq74448/UFBQgEePHnH/6VdUVEBPTw9ycnIwNzd/Z+IDgL59+2LBggVwcHAA8GaPvaSkJERHR2PTpk11UhaMMYZnz569NbHJy8u/NbFVjYERySkqKoKbmxsyMjJw5MiRGsuHNRUVFRW4du0aN1YYFxeHwsJCbozQxsYGvXr1glAolHSodYrG+IhUs7Cw4MpMVe1sffLkSSgoKKB///54+vQpd25oaCjWrFmDjIwM6Ovrw9PTE/PmzQOfz4eHhwfWbAyC/5p1uJacCFFlJXbs2IHo6Gix+/F4PBw8eBCOjo4AgJycHPj4+OD06dMoLi5Gu3btMHfuXGhpaWH//v04fPgwhg8fziU2Pp8vlsxMTU0xdOhQLrG9q+wWkazs7GyMHTsWnTp1QnR0tNQUMqgvsrKy6N69O7p3784VPsjNzeUSoZ+fH1JSUmBqaio2VmhkZCQ2I3fAgAHo0qVLtao/0ooSH5F6M2bMwI4dO7jEV/XnjIwM7pxt27bh22+/xS+//IIePXrg+vXrmDVrFgQCAby9vSHX3gZJ6V9DVqkFNJ38MVi7BBs3bkRpaWm1+2VmZuLo0aO4ffs2/P39ISMjAzU1NZSVleHevXtYtWoVunTpgqKiIvB4PLi5uXGJrqrkGGl8/vrrL4wfPx5fffUVFi1a1Ggrp7i6uiI/P/+9ekJq0qZNGzg4OHC9I6Wlpbh69Sri4uIQGRkJHx8fiEQise7R+lx28v333+PQoUO4fv163V1UguOLhLxV1WSGZ8+eMQUFBXbnzh2Wm5vL5OTkWFZWlthkBz09PbZz506x169fv56ZmZmx/JclTHfiCgYen+l47mAGS08wk2XHmcfcrxgA1r17d2ZpacnU1NQYAKanp8dGjRrFBg4cyOTl5VloaChLSkpiT58+5TYyZazuJ7cQyQkNDWVaWlrs5MmTkg7lk9X3JCCRSMQyMzPZ3r172dy5c1mPHj0Yn89n2tradb7AvqysrMaJWp+qaY9gkiZBTU0N48aNw44dOxAeHo4BAwZAX1+fO56Xl4fs7Gy4u7tDKBRCSUkJioqK8PHxwZ07d+Ayyxuvc+9DpoUGZFXfTESpKCvD8woBeDwerK2tsXXrVty5cwcAsG7dOhw/fhwdO3ZEjx494Orqiu7du0NdXb3RtgJIzSoqKrBgwQL89NNPiI6OxogRIyQdUr1at24dLCwsoKysDB0dHcycORPPnz/njoeFhUEoFOL3339Hx44doaSkhDFjxqCwsBCHDh1C+/bt0bJlS3zzzTewt7fHxo0bceXKFW4s8PLly5g0aRL09fWhoqICJycnbNiwAYmJiXj9+jWWLFkCXV1dKCkpwcrKCmfOnOHuffT3s+DxeNj321H06tULcnJy2LJlC5YvX4709HRum66wsDAAb5ZvzJ49G61atUKLFi1gZ2f33jVkqauTNApubm6YNm0aFBQU4Orqin379iEtLQ35+flc1fzKykrIyspy+5np6OhAR0cHHSx64GroWbHriQDwSwrA4/FgZWUlth8aaR6eP38OZ2dnVFZWIiEhAerq6pIOqd5V7SpvbGyMrKwszJ07F3PnzsWuXbu4c0pLSxEYGIiIiAiUlZVh/PjxGD9+PBQVFfHbb7/h6dOncHBwQFBQEBYuXAgAkJGRQVRUFFxdXRESEoLU1FTMnDkTfD4fN2/eREhICG7cuAElJSWMHj0a/fv3x7NnzzB69GgkJiYik2li7t6rAIBpnvOwbLk/9g2zhkAgQGZmJk6cOIGLFy8CeLM9FWMMI0eOhKqqKk6cOAF1dXWEh4dj0KBBuH37Ntq0afP2D6JO24+EfIKysjKWkZHBoqKiWFhYGOvWrRvT09NjgwYNYsbGxgwA4/F4rGfPnmzChAmsc+fOrHPnzuzYsWNMS0uLLV68uNZrL123g4HHZ+3nhbMOfqfY7phbzM3NjQFgPXv2ZFeuXGGMia/j27p1KxMKhSwvL6/Ga1JXZ+N169YtZmpqyr788sv3quXamHxIV+d/d5UPDQ1lANitW7e4cxYuXMj4fL7Y78F/72FnZ8fat28vNhTw448/Mh0dHcYYY/fu3WM8Ho/t3r2bff/992zYsGFMVVWVKSsrs3YdzFg732NM28WfAWCaY31ZB79TLP9lCWOs5jWpFy5cYMrKymJrVxljrGvXrmLrcmtDLT7SYIqLi5GVlVXjIzMzE48fP0br1q1hYGAAQ0NDiEQitGzZEkuWLIGBgQHU1NSgoKDAlYuqGsQfPXo0/P39MXfuXLRu3RojRoxAeXk5kpOT8fDhQ/j6+kKLFUBFRQWql7dhzdpAyPOeYUNaGmRlZWFiYgJ7e3uuDBj7/xU+EydOxMqVK2Fvb4+VK1dCR0cH169fR4sWLRpsk1pS906fPo2pU6fC398fM2fOlHQ4DeqPP/5AQEAAbt68icLCQlRWVqKsrAyPHj3ilm3Iy7/ZTqmKtrY2WrduLVZrVVtbGzdu3BC7trW1tdhQQJ8+feDn54cXL14gOTkZjDG4u7uLvaa0tBTg8cEqK7jn5Nu0h4DPxz8FxdAQ1ryeNikpCUVFRVzJvColJSW4f//+Oz8HSnwSlpmZCSMjIyQmJr53d5uhoSG8vb2xaNGiT7p3XU9BLiwsFEtk/01uhYWF0NPTg4GBAfcYOnQo92cdHR2xIrtViW3o0KHvvPfMmTOhrKyMNWvWwNfXF4qKiujcuTO8vb0hEokQHByMLb8GIzg4GMMG9oO+vj4CAwMxceJEDBs2DGFhYYiIiMC5c+ewbNkyCAQCjBkzBtHR0Vi4cCFGjx6NsrIydOjQAevXr6+Tz4s0LMYY1q1bh7Vr1+Lw4cPo27evpENqUFlZWRg5ciRmzZqFH374ARoaGkhOToaLi4vYjvCysuJpgcfjfXIBcZFIBB6Ph8TExGrXKhHx4bj79v+uLZBHuUgEXbXal5KIRCJoa2sjJiam2rH3qaNKie8T5eXl4bvvvsOpU6eQm5uLli1bokuXLli6dCk+++yzerlnYmLiB1XwCAsLg7e3N169eiX2/OHDh9+7mjtjDHl5edVaaf/+ubKyUiypGRgYoGfPnlwLTltb+4MqQlQNYr/vcRcXF7i4uFQ778yZMxAKhXBycuLGA6v8+zOpGkeMjIzEjz/+iK+//hpLlizB7t27a/ycXF1d62ThO6l/JSUl8PDwQGpqKhISEsQmRzUXV65cQVlZGdavX8/V6/zYJQ81SUhIAGOMa/XFx8ejbdu2UFFRgaWlJRhjePToUY29Jasd5OG97k1tWHkBn9vIFwDk5ORQWVkpdn737t3x+PFj8Pl8GBsbf3CslPg+0fjx41FUVISQkBCYmJjgyZMniI6OFltYXdf+27z/WP8ezK+srEROTk6t3ZAPHjyAoqIil8QMDAzQrl07DBo0iEty0jrrcdOmTfD29n6v2GRkZODo6Ijx48fj/PnzCAgIgJ+fHxYtWoQZM2ZASUmpASImdSk3NxcODg7Q1dVFbGxssyj79uLFi2q7ZLRv357bVd7BwQHx8fHVdpX/FDk5OZg/fz68vLyQlpaGNWvW4JtvvgEAmJqaYtKkSXB1dUVgYCC6d++OZ8+e4eLFizA2NoaDgwOYiyXG7gJOefeDqaEOd11DQ0NkZWUhOTkZ+vr6aNGiBYYMGQJbW1vY29tj9erV6NixIx49eoTTp09jyJAh6Nev39uDfffwJ6lNQUEBA/DWDSl37drFevbsyYRCIdPS0mKOjo7sn3/+t5v133//zQCwxMREVllZyXR1ddnGjRvFrnH79m0GgCUlJTHGqu+8HBgYyMzNzZmSkhJr27YtmzFjBisoKGCMMRYVFcUAiD3GjBnDvv32W6atrc3atm3LjIyMmJycHGvTpg2ztrZmTk5ObMmSJSwoKIidPHmSXb9+nb18+bIuP7oGk5GRwTQ0NNjr168/+hrx8fHM3t6etWrViq1YsYL7bIn0S0xMZLq6umz58uXcBI6mbtq0adV+5wGw8ePHv3VXecZqnrC1Zs0aZmBgIPbckiVLWI8ePbif7ezsmLu7O5szZw5TVVVlLVu2ZAsWLGAVFRXcOVVr8oyMjJhAIGDa2tps9OjR3MSyqv+r/juZrKSkhI0fP561bNmSAWChoaGMMcZevHjBvvzyS6ajo8MEAgHT1dVlTk5O7N69e+/8jCjxfYLy8nImFArZ3LlzWXFxcY3nhISEsJMnT7L79++zhIQENmDAANavXz/u+L8TH2OM+fj4sN69ezPG3lTHT3lQwBYtXcbMzMy41/w38a1fv56dOHGCnT17lq1atYq1bduWde7cmTk7O7PevXszFRUVBoDp6uqyPn36MBcXF+bn58dMTU2Zvb09u3v3LispKamPj0jifHx82MKFC+vkWunp6Wzq1KlMXV2d+fj4sJycnDq5Lqkfe/fuZZqamuy3336TdChEylDi+0SHDh1iampqTF5enllbW7OFCxey+Pj4Ws+/efMmA8BVNvhv4ktNTWUAWPCxWNbB7xTr8t1pJlBvy76YPZ8lJyezyMhIpqamxvr168fGjRvHunfvzjQ0NJiCggLr0KEDGzp0KBs+fDiTkZFh4eHh7M8//2SBgYE1Tru3s7Njc+bMqZ8PRgoUFRUxTU3N9/oG+CEyMzPZ3LlzmZqaGnN3d6/z65NPU1lZyZYtW8YMDQ1ZSkqKpMMhUogqt3yi8ePHIycnB8ePH8fnn3+OuLg4WFtbw9/fHwCQnJwMe3t7rvJ+1czNBw8e1Hg9U1NTGBoZY9nqIJSUi5D/dzrKn+UilnXAlFle2LFjByoqKqCiogIXF5c3sxW3bEHfvn3x6tUrxMXFITo6GpWVlVxfd3NYmFuTffv2oVevXmjXrl2dXtfAwAAbN27ErVu3oKmpid69e8PFxQWpqal1eh/y4V6+fIlx48YhJiYGCQkJ6Nq1q6RDIlKIEl8dUFBQwGeffYZvv/0WcXFxmDFjBr7//nsUFhZi2LBhUFJSwq5du5CYmIjTp08DADd9OC8vD8CbncD79OkDDQ0NlPLl8erGRQDA6/SLkNftBPW2RoiI/B3Hjh2Duro6BgwYgAkTJkBbWxuTJ0+GmZkZDh48iKSkJOzYsUPsHs0RYwybNm3iKs7Xh1atWmHFihXIyMiApaUlPv/8c4wcObLGKdak/mVkZKBPnz7Q1tbG+fPn33ufRNL8UOKrB506dUJFRQVSUlKQn58Pf39/9O/fH6amplwtuYCAALRv3x6DBw8GALRo0QL+/v548uQJzpw8jvKCRyh9eAuvb8ZAucvAWte1/HuKcp8+fWBqaoqcnByxc2qaDtzUJSQk4Pnz5xg+fHi930tFRQWLFy9GRkYGxowZA1dXV/Tt2xcnT57kFsOT+hUVFQUbGxt4eHhgy5YtkJOTk3RIRJpJuq+1McvPz2cDBw5ku3btYqmpqSwjI4MdOHCAaWtrsyFDhrDMzEwmEAiYra0ts7OzY8rKykwgEDAA7KuvvmJpaWns/v37YmN8VcytbJi8tjHjyQiYyaL97OjV/80E/ffklqoxwbVr17KMjAy2Z88epqenJzZT69KlSwwAO3v2LMvLy+NmODblMb7JkyeztWvXSuTe5eXlbO/evczCwoKZm5uziIiIJlcWS5ps3ryZtWrVip0/f17SoZBGghLfJygpKWG+vr6sZ8+erGXLlkxBQYG1bt2aWVpaMktLS6akpMRMTEyYqqoqEwgErFu3buz06dMMAIuKimKMVZ/cUiUkJIQBYIOGj+Jq1lX576zOd01RZowxDw8PpqGhwQCw7777jjHWdBPf48ePWcuWLdnTp08lGodIJGInT55kffv2ZcbGxiw4OLjW2b/kw5WVlTEPDw/WqVMnmmBEPgiPMeqL+RiVlZVIT0/HpUuXuMeLFy9gY2MDW1tb2NjYwMrKqsnv4CyN/P39kZGRge3bt0s6FE5sbCxWrlyJpKQkzJ8/H56enu9VWonULD8/H46OjmjRogUiIiLosyQfhBLfe3r16hUSEhK4JJeQkABtbW0uydna2qJDhw4fVJKL1L2KigoYGxvj6NGjsLS0lHQ41Vy7dg0rV67E2bNn4e7ujnnz5tEkjA907do1jB07Fk5OTlixYgVXfouQ90WJrxbZ2dlckouLi8Pt27fRrVs3sRZdXZUOI3UnMjISa9euxaVLlyQdyltlZGRgzZo12LdvHyZNmoRFixbB0NBQ0mFJvSNHjmDWrFnYsGEDJk6cKOlwSCNFiQ9vWgnXrl3jktylS5dQUlLCJTlbW1v06NED8vI1b5FBpMfgwYMxc+bMGotVS6Pc3Fz8/PPP2L59O0aOHIklS5agc+fOkg5L6jDG8NNPP2HLli04fPgwrKysJB0SacSaZeIrLCxEfHw8l+QuX74MXV1dLsnZ2trCxMREKgsuk9rduHEDgwcPRlZWVqObzv78+XMEBQVh48aN6N27N3x9fWFtbS3psKRCUVERpk+fjszMTBw5cuTdu2sT8g5NPvExxpCVlSU2CeX+/fvo0aMHl+Ssra2hoaEh6VDJJ/L29oa6ujp++OEHSYfy0YqKihAaGoo1a9bAyMgIS5cuxdChQ5vtl7Ds7GzY29ujS5cu2Lp1KxQUFCQdEmkCmlziKy8vR0pKitj4nEgk4pKcjY0NLC0tG12LgLzdixcvYGhoiLS0NOjo6Lz7BVKuvLwc+/btw8qVK6GgoIClS5fCwcGhWU3kiIuLg6OjIxYsWICFCxc22+RP6l6jSHy1baQKAAUFBfjrr7+4JHflyhUYGRmJjc8ZGRnRL00Tt3nzZly8eBEHDx6UdCh1SiQS4fjx4wgICMCzZ8+wePFiTJkypcmPN4eGhmLJkiUICwvDiBEjJB0OaWI+KPG5uroiPDwcwJvt6fX09ODg4IDly5fX6+aOxcXFePnyJbS0tHD//n1ubO7SpUvIysqClZWVWLdly5Yt6y0WIn0YY+jcuTOCg4NhZ2cn6XDqBWMM0dHRCAgIQHp6OhYsWIDZs2dDKBRKOrQ6VVFRgcWLF+P48eM4duwYzMzMJB0SaYI+eAf2IUOGYNeuXSgvL0dMTAxmzpyJ169fIzg4uM6DKy0txdWrV8W6LWVlZbkkN3v2bHTt2hWysrSRfHMWFRUFPp+P/v37SzqUesPj8TBgwAAMGDAAycnJWLlyJQICAuDl5YUvv/yySYxRFxQUwNnZGYwxXL58GWpqapIOiTRVH1LmZdq0aWzkyJFiz82cOZO1bt36nTuN2/TtV+OuwFFRUSw0NLTGY7Kysqxbt25s0KBBTF5enmVlZTGRSPSBxWlIUzdu3DgWHBws6TAa3O3bt9nMmTOZmpoamz9/Pnvw4IGkQ/pot27dYqampmz+/PlU15TUu08uM6KoqIjy8nKUlZVh+fLlSE1NxYkTJ5Cfn8+tpTqa8hBPrL3RYeEetPtqN8LOJcPd3R2ampq4evUqoqKi0K5dOwiFQvTv3x+TJ0+GQCDAhg0bcPXqVUyZMgWysrLQ19ensToi5sGDB4iOjsbkyZMlHUqDMzU1xbZt25CWlgY+n4+uXbvCzc0Nt2/flnRoH+T3339Hv379sGTJEqxfv556cEi9+6TEd/nyZezZsweDBw+Gm5sbRowYAWNjY/Tq1QvBwcGIiYlB2u37WHL4GspllVEiUEGFfEv4bNyDLVu2QlZWFleuXEGvXr1w6NAhPH/+HAcPHkRMTAy8vLzg5eVVV++TNFFbtmzB5MmTm9xY14fQ0dFBYGAg7t69CwMDA/Tr1w+Ojo7cFljSijGGwMBAzJgxA5GRkXBzc5N0SKSZ+OCvVqdPn4ZQKERFRQXKy8thb2+PX375BcnJyVi+fDlSUlLw7Nkzbh+y5Bv3IODzUQIRAKA09y7yT/8C3xVr4f/1ArFrl5WVwcHBAWZmZggMDKyDt0eastLSUmzfvh1//vmnpEORChoaGvjuu++waNEibNu2DePGjUPHjh3h6+uLgQMHSlVvSUlJCTw8PJCamor4+Hjo6+tLOiTSjHxwi69///5ISUnB7du3UVJSgsOHD0NZWbnWncZbKvBQLnqT9CpePkXebz9Cvfc4LJxXfWdsd3d3FBQUYP/+/c1qvRL5OAcPHkTXrl3RoUMHSYciVZSVlTF//nzcv38fEydOhJeXF6ytrREZGQnR//8uSlJubi4GDhyIoqIixMbGUtIjDe6DE5+SkhJMTExgYGAAgUAAALh165bYTuMdO3bEkydPAACqinJY7WABOV4FnkX+BEW9TgjZuAYaQvF1SGvXrsWJEydw4sQJ2mKEvJfNmzdjzpzqX6DIG3Jycpg+fTrS09OxePFi/PTTT+jSpQvCw8NRXl4ukZiqhjZGjBiB/fv31+syKEJqUyd76Ojr60NeXh6bNm1CRkYGTp48CT8/P+74mG466J55EK0URLi4fyt6t5HFo0eP8OjRI5SVleH8+fNYtmwZgoKCoKioyB0rLCysi/BIE5SUlIScnByMGjVK0qFIPRkZGYwfPx6JiYnYuHEjdu7cCRMTE2zcuBFFRUUNFse+ffvw+eefY+PGjfDz85OqrlfSvNRJ4tPS0kJ4eDiOHDmCTp06Yfny5Vi3bp3YOfFxscjKuIeeFp3Qpk0b7hEXF4fY2FiUl5fjiy++EDs2b968ugiPNEGbN2+Gp6cndYl/AB6PhyFDhuDChQs4cOAAoqKiYGRkhBUrVqCgoKDe7isSifD111/D19cXFy5cwLhx4+rtXoS8j0ZRsoyQf3v69ClMTExw584d2hPxE928eROrVq3CsWPHMGPGDHz11Vdo27ZtnV3/5cuXmDRpEgoLC3Ho0CH6+yJSgbYLJ43Ojh07MGbMGPpPtA6YmZkhLCwMV69eRWlpKTp37gwej4dffvkFAJCZmQkej/fWpRG1nZORkYE+ffqgTZs2OHfu3Hv9fYWFhTXrpSmkYVCLjzQqlZWVMDExwYEDB2gz0k+QnJwMKysrWFtbi+1Wn5eXh1atWkEoFGLkyJGYOnUqRo4cicTERPTs2bPGa1VWViIvLw+amprc4vOoqCi4uLjg22+/haen53uP51XV5W3VqtWnv0lCakEtPtKo/P7779DS0qKk94m2b98OLy8vXL9+HTdv3uSer2qVbd68GT169ICrqyuAN4mytu/IMjIyaN26NWRlZcEYQ1BQEJydnbFnzx54eXl90CQWRUVFSnqk3lHiI43Kpk2b4O3tLekwGrXi4mLs2bMHs2fPhqOjI0JCQqqdo6SkBB8fH8TExAAA/Pz8oKqqCjk5OXTs2BFnz57lzq3q6vzrr7/g6ekJHx8fPHnyBIMHDwaPx+MeFy9eRFhYmNhzVY+qBEtdnaQhUOIjjcbdu3eRnJyML774QtKhNGqHDh2CgYEBzM3NMWXKFOzcubPWdX1V+/4JBAJMnz4dxsbGyMvLw6hRo5CVlYWnr0pxI+cFAMDb2xs5OTlIT09Hbm4u9/Dw8IC2tjY6duwIJycnsWNnzpyBnJxck91OikgnqgZLGo2goCDMmDEDCgoKkg6lUQsJCcGUKVMAAHZ2dlBSUsLRo0fh6OhY62s8PT3x9ddfgzGGU6dOYcKECbDoNxxak1eDvcwHAGiXGY67AAAPMklEQVSZ98eRHYHg8//3fXr//v0ICwtDVFQUWrduDeBNdyYAPHnyBLNnz4anpyemT59eX2+XkGqoxUcahdevX2Pnzp3w8PCQdCiN2r179xAbG4uJEycCeLO2b9KkSTV2d/5bnz59uPNHjhyJUfZjUamohgrGR2nFm7G/W7KGKCj6X8vxypUrcHNzQ0hICKytrcWuR3V5iSRRi480ChEREejXrx8MDAwkHUqjtn37dlRWVorVx6yatJKdnQ09Pb33uk5RaSVk+OKTVmT5fPxTUAwNoTxycnJgb2+PBQsWcEn236rq8p46dYqKEJAGRy0+IvUYY1SXsw5UVFQgPDwcAQEBSElJ4R6pqamwsLBAaGhora+Nj4/n/swYw620q5DVEE+SFSIRdNUUUVJSgrFjx8LGxgY//PBDtWtRXV4iadTiI1IvNjYWpaWlGDx4sKRDadROnjyJ/Px8zJo1CxoaGmLHnJ2d8euvv4rV2P234OBgmJqawtzcHEFBQfgn+wGCNkVg9aV8iOTetNhm9dGDhlAe06ZNQ2FhIVatWoXHjx9z11BXV8eff/6JZcuWISIigqvLC7wZ91NVVa2nd06IOEp8ROpt3rwZXl5eYpMmyIcLCQnBwIEDqyU9AJgwYQKWLl2Kc+fO1fjalStXYt26dUhOToaBgQEiIyPx+TAr2NuWIuHabYzcCLy+fwWAA6Kjo5GVlYV27dqJXSMqKkqsLu+/TZs2DWFhYXX1Vgl5K6rcQqRabm4uOnXqhMzMTGoRSLHjx49j1apViI2NlXQohLwTfYUmUm3r1q1wdnampCflhg8fjrt37+L+/fuSDoWQd6LER6RWeXk5tmzZQpNaGgGBQAAXFxfs2rVL0qEQ8k6U+IjUioyMhKmpKbp06SLpUMh7mDp1Knbu3FlrTU9CpAUlPiK1qC5n42JpaQklJSWx3R4IkUaU+IhUunbtGjIyMmBvby/pUMh74vF4mDp1KsLDwyUdCiFvRbM6iVRyd3eHrq5urevKiHR6+PAhzM3N8fDhQ64mJyHShlp8ROo8f/4cBw4cwKxZsyQdCvlAOjo66NmzJ44dOybpUAipFSU+InXCwsLw+eefc9X8SeNSNcmFEGlFXZ1EqohEInTo0AHh4eGwsbGRdDjkI7x+/Rq6urq4efMmfXkhUolafESqnDt3DkKhkNsGhzQ+ysrKGDt2LPbu3SvpUAipESU+IlWqljDweLx3n0ykFnV3EmlGXZ1Eavz999+wsrLCgwcPoKSkJOlwyCcQiUQwNDTEiRMnYGFhIelwCBFDLT4iNYKDg+Hq6kpJrwng8/mYMmUKtfqIVKIWH5EKxcXF0NfXR3x8fLXtbEjjdOvWLQwcOBDZ2dmQlaUd0Ij0oBYfqXc8Hg+HDh166zn79u1Dr1690K5dO4SFhUEoFNZ5HIaGhli7dm2tP5O61bFjR+jr6+P8+fOSDoUQMZT4CCc5ORkyMjKwtbWt0+vm5uZi9OjRtR5njGHTpk3cLgxOTk7IyMio0xhqkpiYCC8vr3q/T3M2bdo06u4kUocSH+Fs374dXl5euH79Om7evFln123dujXk5eVrPZ6QkIDnz59j+PDhAABFRUW0atWqzu5fGy0tLRpPrGdOTk44deoUXrx4IelQCOFQ4iMA3oyx7dmzB7Nnz4ajoyNCQkLEjsfHx2PQoEFQVlaGqqoqBg0ahJycHABvWmyBgYFo37495OXloaurC19fX+61/+3qXLp0KTp06ABFRUXoGxhgyqw5mDzDA3z+m3+O/+3q/P7776ttTVRTd+iWLVtgYmICOTk5mJiYYNu2bW99z9TVWf80NDQwaNAgHDx4UNKhEMKhxEcAAIcOHYKBgQHMzc252Xjl5eUAgNTUVAwcOBAmJia4dOkS4uPj4eTkhIqKCgDAsmXL8OOPP8LX1xfp6ek4ePAg9PT0ar2XsrIyduzYgQ2/RaHSxg1/Z2Vh0+/JOJby8KPjj4yMhLe3N+bPn4/r169j3rx58PLywvHjxz/6mqRu0Jo+Im1oqhUBAISEhGDKlCkAADs7OygpKeHo0aNwdHTE6tWr0a1bN2zdupU738zMDADw6tUrrF+/Hj///DPc3NwAACYmJm+tvOLn54enr0oxY/UfEBj2hKqNE14kRGLx4WuwNdH8qPjXrl2LKVOmcPv3mZqaIikpCatWrXrr+CKpfyNGjMCsWbPw999/w8jISNLhEEItPgLcu3cPsbGxmDhxIoA3XZOTJk3iujuvXr2KQYMG1fjaGzduoLS0FIMHD37v+x06dAhDBtrh/rpJeBDoiIIL21HxIg8CPh//FBR/1Hu4efNmtUk5ffv2xY0bNz7qeqTuyMnJwcnJCbt375Z0KIQAoBYfwZtJLZWVldDX1+eeq1remZ2dXaf3io+Ph7OzM3x8v8azri6okFFE8d0EFETtQLlIBF01RVz9z2v4fD7+u9y0qhv2Xaj0mXSYOnUqJk2ahG+++Yb+TojEUYuvmauoqEB4eDgCAgKQkpLCPVJTU2FhYYHQ0FBYWlrijz/+qPH1ZmZmkJeXx4ULF97rfpcuXYKOjg4CflyOX7wd0UJbD7zX+QCA1Q4W0BBWn/2ppaWFx48fiyW/lJSUanFcunRJ7LnY2Fh06tTpveIi9cvKygqysrKIj4+XdCiEUIuvuTt58iTy8/Mxa9YsaGhoiB1zdnbGr7/+isOHD6NPnz6YPXs25syZAwUFBcTExGDo0KHQ19fHvHnz4OvrC3l5efTv3x9Pnz5FUlISPD09q93P1NQUDx8+REREBPr06YMZ6vcQcO9NwhrTTafGGAcMGIBnz57B398fzs7OuHjxYrUF8T4+PpgwYQJ69OiBoUOH4vTp04iIiMDhw4fr6JMin4LH43GTXGjnDSJxjDRro0ePZp999lmNx+7fv88AsDNnzrCYmBjWr18/pqCgwFRVVdngwYNZTk4OY4yxyspKFhAQwIyMjJhAIGC6urps2bJl3HUAsIMHD3I/L126lGlqajJlZWU2btw4FhQUxP79TzE0NJQpKyuLxfLrr78yfX19pqSkxJycnNjPP/9c7Zzg4GDWrl07Jisry9q1a8e2bt0qdtzAwICtWbOm1p9J/crKymLq6uqsuLhY0qGQZo5qdRJCGszgwYPh6ekJR0dHSYdCmjEa4yOENBha00ekAbX4CCEN5uXLl9DT08OdO3capCwdITWhFh8hpMG0aNECY8aMwb59+yQdCmnGKPERQhoUdXcSSaPERwhpUAMHDsSjR4+Qnp4u6VBIM0WJjxDSoGRkZDB58mRq9RGJockthJAGl56ejqFDh+LBgweQkZGRdDikmaEWHyGkwXXu3Blt2rSptRQeIfWJEh8hRCJokguRFOrqJIRIRF5eHtq3b4/s7Gy0aNFC0uGQZoRafIQQidDS0oKdnR0VEicNjhIfIURipk6divDwcEmHQZoZ6uokhEhMaWkp2rZti+TkZBgYGEg6HNJMUIuPECIx8vLy+OKLLxARESHpUEgzQomPECJRVbM7qfOJNBRKfIQQibK2toZIJEJiYqKkQyHNBCU+QohE8Xg8WtNHGhRNbiGESFxmZiasrKzwzz//QF5eXtLhkCaOWnyEEIkzNDRE586dcerUKUmHQpoBSnyEEKlA3Z2koVBXJyFEKrx48QL6+vq4d+8eNDU1JR0OacKoxUcIkQoqKioYMWIE9u/fL+lQSBNHiY8QIjWou5M0BEp8hBCpMWTIEGRnZ+PWrVuSDoU0YZT4CCFSQ1ZWFpMmTaJWH6lXNLmFECJV0tLSMGLECGRlZYHPp+/mpO7RvypCiFQxNzeHpqYmLl68KOlQSBNFiY8QInVokgupT9TVSQiROo8fP0bHjh3xzz//QFlZWdLhkCaGWnyEEIkyNDTE2rVrxZ7T1taGra0tIiMj6/ReAwYMgLe3d51ekzQ+1OIjhNSbx48fY+XKlThx4gSys7OhoqICExMTuLi4YPr06RAKhcjLy4OysjKUlJTEXnvgwAFs27YN586dq7N4nj17BoFAgBYtWtTZNUnjQ4mPEFIvMjMzYWtrCxUVFXz33XewsLCAoqIi0tPTsX37dnzxxReYOHFira8vLi6Gjo4Orl27Bl1d3U+KpaysDHJycp90DdJ0UFcnIaReeHp6gs/n48qVK3B2dkanTp1gZGSEUaNG4ciRI3BxcQFQvauTx+Nh69atmDp1Kl6+fImuXbti9+7dYtdOS0vDkCFDoKioCHV1dbi6uqKwsJA77urqilGjRmHVqlXQ1dXlEid1dRKAEh8hpB48ffoUZ86cwZw5c2qdnMLj8Wp9/Q8//AB7e3vs2rULPFk5THdzQ+rNuwCA169fY9iwYRAKhbh8+TIiIyMRFxcHNzc3sWtER0fj2rVrOH36NC5cuFB3b440epT4CCF17t69e2CMoUOHDmLP6+rqQigUQigUwsPDo9bXT5kyBZMnT4Zix35QnvwLKhkfw3234ljKQ+zZswevX7/Grl27YG5uDjs7O2zduhWHDx/GvXv3uGsoKChgx44d6NKlC8zNzevtvZLGhxIfIaTBxMTEICUlBb169UJJSUmt51lYWODpq1IsOXwNPDlF8JVUUPqyAIsPX0Ny6nVYWFiITVCxsbEBn8/HjRs3uOe6dOlCu7mTGslKOgBCSNNjYmICHo9Xrdi0kZERAFSbwflfAoEA/xQUQ8DnowQiADwwxiDg8/GqtKLW1/27+5TW/5HaUIuPEFLnNDQ0MHToUGzatAmvXr36qGvoqimiXCQSe65cJEJ3i85IS0vDy5cvuefj4uIgEolgZmb2SXGT5oESHyGkXgQFBUEkEqFHjx7Yu3cvbty4gTt37mDv3r1ITU2FjIzMW1+vIZTHagcLKAj44PMAgQwPqx0s4D7DFUpKSpg6dSrS0tLw559/wt3dHQ4ODjAxMWmYN0caNerqJITUC2NjY1y9ehUBAQHw8/NDdnY2BAIBzMzM4OXl9V7LCsZ004GtiSbMQ+XhPsAEY7rpAADOnDmD+fPno1evXlBQUIC9vT02bNhQ32+JNBG0gJ0QQkizQl2dhBBCmhVKfIQQQpoVSnyEEEKaFUp8hBBCmhVKfIQQQpoVSnyEEEKaFUp8hBBCmhVKfIQQQpoVSnyEEEKaFUp8hBBCmhVKfIQQQpoVSnyEEEKaFUp8hBBCmhVKfIQQQpoVSnyEEEKalf8Dq68HoRcm5v4AAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"icR4ekiBU1iK"},"source":["## Benchmarks from the Network Data Repository"]},{"cell_type":"markdown","metadata":{"id":"yxXDdQW1U1iL"},"source":["This dataset (and other) can be downloaded from http://networkrepository.com/. The datasets are generally in the MTX file format. In particular the dataset here presented is taken from the collaboration network of Arxiv Astro Physics, that can be downloaded from http://networkrepository.com/ca-AstroPh.php.\n","Some of the files that can be downloaded from that source are somewhat non-standard and needs small fixes.\n","\n","> Note: Please make sure the header of the file has the following: \n","`%%MatrixMarket matrix coordinate pattern symmetric`, with a double %."]},{"cell_type":"code","metadata":{"id":"viRwpiegalTR"},"source":["!wget https://nrvis.com/download/data/ca/ca-AstroPh.zip\n","!unzip ca-AstroPh.zip"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"SSgoFOq5azMw","executionInfo":{"status":"ok","timestamp":1627816485738,"user_tz":-330,"elapsed":1078,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"1fd83af7-d995-4280-cfc9-bbd8b138c0ef"},"source":["!head ca-AstroPh.mtx"],"execution_count":null,"outputs":[{"output_type":"stream","text":["%MatrixMarket matrix coordinate pattern symmetric \n","17903 17903 196972\n","43 1\n","1952 1\n","2526 1\n","3027 1\n","3303 1\n","4484 1\n","5185 1\n","5233 1\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"clNwlnzWbgSG"},"source":["!tail -n +2 ca-AstroPh.mtx > ca-AstroPh-mod.mtx\n","!sed -i -e '1i%%MatrixMarket matrix coordinate pattern symmetric\\' ca-AstroPh-mod.mtx"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"JLCvTE9YcJXB","executionInfo":{"status":"ok","timestamp":1627816784203,"user_tz":-330,"elapsed":13,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"48e9a145-7d36-43ea-eabb-56d62fb4479f"},"source":["!head ca-AstroPh-mod.mtx"],"execution_count":null,"outputs":[{"output_type":"stream","text":["%%MatrixMarket matrix coordinate pattern symmetric\n","17903 17903 196972\n","43 1\n","1952 1\n","2526 1\n","3027 1\n","3303 1\n","4484 1\n","5185 1\n","5233 1\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"OXyPZtAvU1iN"},"source":["file = \"ca-AstroPh-mod.mtx\"\n","adj_matrix = mmread(file)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"GZFC-LiVU1iN"},"source":["graph = nx.from_scipy_sparse_matrix(adj_matrix)\n","degrees = dict(nx.degree(graph))\n","ci = nx.clustering(graph)\n","centrality = nx.centrality.eigenvector_centrality(graph)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"JIJm6uxSU1iR"},"source":["stats = pd.DataFrame({\n"," \"centrality\": centrality, \n"," \"C_i\": ci, \n"," \"degree\": degrees\n","})"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"KYXXNPWnU1iR","colab":{"base_uri":"https://localhost:8080/","height":204},"executionInfo":{"status":"ok","timestamp":1627816886802,"user_tz":-330,"elapsed":441,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"679a8f38-658c-4e7b-a1d6-0bdd0f517265"},"source":["stats.head()"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/html":["
\n","\n","\n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n","
centralityC_idegree
08.901198e-050.69213743
13.208282e-101.0000002
23.407931e-040.24242412
34.290384e-060.0000001
46.722036e-071.0000002
\n","
"],"text/plain":[" centrality C_i degree\n","0 8.901198e-05 0.692137 43\n","1 3.208282e-10 1.000000 2\n","2 3.407931e-04 0.242424 12\n","3 4.290384e-06 0.000000 1\n","4 6.722036e-07 1.000000 2"]},"metadata":{"tags":[]},"execution_count":77}]},{"cell_type":"markdown","metadata":{"id":"xpIXb7A8U1iS"},"source":["Here we provide some simple analysis of the DataFrame we generated to see correlations between centrality, clustering coefficient and degree. "]},{"cell_type":"code","metadata":{"id":"PhXU1pFQU1iS","colab":{"base_uri":"https://localhost:8080/","height":269},"executionInfo":{"status":"ok","timestamp":1627816902340,"user_tz":-330,"elapsed":712,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"8021b604-5409-4975-af4e-fbf8ede2597b"},"source":["plt.plot(stats[\"centrality\"], stats[\"degree\"], 'o')\n","plt.xscale(\"log\")\n","plt.yscale(\"log\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"YOYXQ2RWU1iT","colab":{"base_uri":"https://localhost:8080/","height":269},"executionInfo":{"status":"ok","timestamp":1627816904673,"user_tz":-330,"elapsed":476,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"5109429e-592f-4a78-9321-402754feb311"},"source":["plt.plot(stats[\"centrality\"], stats[\"C_i\"], 'o')\n","plt.xscale(\"log\")\n","plt.yscale(\"log\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"caPviNPAU1iU"},"source":["## Ego-network "]},{"cell_type":"markdown","metadata":{"id":"pfl3MshdU1iU"},"source":["Here we plot the ego-network of the most-connected node, that has id 6933. However, even this network looks a bit messy since it has hundreds of nodes. We therefore sample randomly or based on centrality/clustering coefficient in order to plot a relevant subgraph."]},{"cell_type":"code","metadata":{"id":"xB9rGy2qU1iU"},"source":["neighbors = [n for n in nx.neighbors(graph, 6933)]"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"q1WLPGmWU1iV"},"source":["sampling = 0.1"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"LoMBIyiGU1iV"},"source":["nTop = round(len(neighbors)*sampling)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"HgtwHJGUU1iV"},"source":["idx = {\n"," \"random\": stats.loc[neighbors].sort_index().index[:nTop], \n"," \"centrality\": stats.loc[neighbors].sort_values(\"centrality\", ascending=False).index[:nTop],\n"," \"C_i\": stats.loc[neighbors].sort_values(\"C_i\", ascending=False).index[:nTop]\n","}"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"DTyzPid3U1iV"},"source":["def plotSubgraph(graph, indices, center = 6933):\n"," draw_graph(\n"," nx.subgraph(graph, list(indices) + [center]),\n"," layout = nx.kamada_kawai_layout\n"," )"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"sw4pUdBkU1iW","colab":{"base_uri":"https://localhost:8080/","height":373},"executionInfo":{"status":"ok","timestamp":1627816948610,"user_tz":-330,"elapsed":14646,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"a76d10d9-1c93-4891-9a0a-8eed4ac0feb8"},"source":["plt.figure(figsize=(15,6))\n","for ith, title in enumerate([\"random\", \"centrality\", \"C_i\"]):\n"," plt.subplot(1,3,ith+1)\n"," plotSubgraph(graph, idx[title])\n"," plt.title(title)\n","plt.savefig(os.path.join(output_dir, \"PhAstro\"))"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"IFqt5gJyU1iW"},"source":["## Data to Gephi"]},{"cell_type":"markdown","metadata":{"id":"eR-w_EQQU1iX"},"source":["Otherwise, we could also export the data from networkx in order to plot it and analyse it using the Gephi software."]},{"cell_type":"code","metadata":{"id":"PTJ5YebsU1iX"},"source":["nx.write_gexf(graph, 'ca-AstroPh.gexf')"],"execution_count":null,"outputs":[]}]}