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@nariaki3551
Created March 11, 2019 05:06
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.ticker as ticker\n",
"from heap_tree import BinaryTree\n",
"from copy import deepcopy\n",
"from heapq import heappush, heappop\n",
"from collections import defaultdict\n",
"from csv import reader as csv_reader"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"def plot_digraph(digraph, pos, title, node_size=1400, figsize=None, ax=None):\n",
" fig, ax = plt.subplots(figsize=figsize)\n",
" ax.set_title(title)\n",
" ax.yaxis.set_major_locator(ticker.NullLocator()) # 軸のメモリを消す\n",
" ax.xaxis.set_major_locator(ticker.NullLocator())\n",
" nx.draw_networkx_nodes(digraph, pos, node_size=node_size, node_color='mediumseagreen', node_shape='o', alpha=0.8, ax=ax)\n",
" nx.draw_networkx_edges(digraph, pos, width=1.0, edge_color='k', arrowstyle='-|>', arrowsize=30, ax=ax)\n",
" nx.draw_networkx_labels(digraph, pos, labels=None, font_size=12, font_color='k',font_weight='normal', alpha=1.0, ax=ax)\n",
" nx.draw_networkx_edge_labels(digraph, pos, edge_labels={edge: digraph.edges[edge]['weight'] for edge in digraph.edges()}, ax=ax)\n",
" plt.savefig(f\"{'_'.join(title.split())}.pdf\")\n",
"def plot_digraph2(digraph, pos, T, weight, title, figsize=None):\n",
" fig, ax = plt.subplots(figsize=figsize)\n",
" ax.set_title(title)\n",
" ax.yaxis.set_major_locator(ticker.NullLocator()) # 軸のメモリを消す\n",
" ax.xaxis.set_major_locator(ticker.NullLocator())\n",
" nx.draw_networkx_nodes(digraph, pos, node_size=1400, node_color='mediumseagreen', node_shape='o', alpha=0.8, ax=ax)\n",
" for edge in digraph.edges():\n",
" if edge not in T.edges():\n",
" nx.draw_networkx_edges(digraph, pos, edgelist=[edge], width=1 + digraph.edges[edge][weight], edge_color='k', arrowstyle='-|>', arrowsize=30, ax=ax)\n",
" nx.draw_networkx_labels(digraph, pos, labels=None, font_size=12, font_color='k',font_weight='normal', alpha=1.0, ax=ax)\n",
" nx.draw_networkx_edge_labels(digraph, pos, edge_labels={edge: G.edges[edge][weight] for edge in G.edges() if edge not in T.edges()}, ax=ax)\n",
" plt.savefig(f\"{'_'.join(title.split())}.pdf\")\n",
"def plot_digraph3(digraph, pos, title, node_size=1400, figsize=None, labels=None):\n",
" fig, ax = plt.subplots(figsize=figsize)\n",
" ax.set_title(title)\n",
" ax.yaxis.set_major_locator(ticker.NullLocator()) # 軸のメモリを消す\n",
" ax.xaxis.set_major_locator(ticker.NullLocator())\n",
" nx.draw_networkx_nodes(digraph, pos, node_size=node_size, node_color='mediumseagreen', node_shape='o', alpha=0.8, ax=ax)\n",
" for edge in digraph.edges():\n",
" if digraph.edges[edge]['edge_type'] == 'heap_edge':\n",
" nx.draw_networkx_edges(digraph, pos, edgelist=[edge], width=1.0, edge_color='k', arrowstyle='-|>', arrowsize=30, ax=ax)\n",
" if digraph.edges[edge]['edge_type'] == 'cross_edge':\n",
" nx.draw_networkx_edges(digraph, pos, edgelist=[edge], width=1.0, edge_color='r', arrowstyle='-|>', arrowsize=30, ax=ax)\n",
" if digraph.edges[edge]['edge_type'] == 'root_edge':\n",
" nx.draw_networkx_edges(digraph, pos, edgelist=[edge], width=1.0, edge_color='g', arrowstyle='-|>', arrowsize=30, ax=ax)\n",
" nx.draw_networkx_labels(digraph, pos, labels=labels, font_size=12, font_color='k',font_weight='normal', alpha=1.0, ax=ax)\n",
" plt.savefig(f\"{'_'.join(title.split())}.pdf\")\n",
"def plot_digraph4(digraph, path, pos, title, node_size=1400, figsize=None, labels=None, ax=None):\n",
" if ax is None:\n",
" fig, ax = plt.subplots(figsize=figsize)\n",
" ax.set_title(title)\n",
" ax.yaxis.set_major_locator(ticker.NullLocator()) # 軸のメモリを消す\n",
" ax.xaxis.set_major_locator(ticker.NullLocator())\n",
" nx.draw_networkx_nodes(digraph, pos, node_size=node_size, node_color='mediumseagreen', node_shape='o', alpha=0.8, ax=ax)\n",
" nx.draw_networkx_edges(digraph, pos, width=1.0, edge_color='k', arrowstyle='-|>', arrowsize=30, ax=ax)\n",
" nx.draw_networkx_labels(digraph, pos, labels=None, font_size=12, font_color='k',font_weight='normal', alpha=1.0, ax=ax)\n",
" nx.draw_networkx_edge_labels(digraph, pos, edge_labels={edge: digraph.edges[edge]['weight'] for edge in digraph.edges()}, ax=ax) \n",
" for v, u in zip(path, path[1:]):\n",
" nx.draw_networkx_edges(digraph, pos, edgelist=[(v, u)], width=8.0, edge_color='r', arrowstyle='-|>', arrowsize=30, alpha=0.3, ax=ax)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"edges = {'C': {'D': {'weight': 3}, 'E': {'weight': 2}},\n",
" 'D': {'E': {'weight': 2}, 'F': {'weight': 4}},\n",
" 'E': {'F': {'weight': 2}, 'G': {'weight': 3}},\n",
" 'F': {'H': {'weight': 2}, 'G': {'weight': 3}},\n",
" 'G': {'H': {'weight': 2}}}\n",
"pos = {'C': (0, 1),\n",
" 'D': (1, 1),\n",
" 'E': (1, 0),\n",
" 'F': (2, 1),\n",
" 'G': (2, 0),\n",
" 'H': (3, 0)}\n",
"G = nx.DiGraph(edges)\n",
"source = 'C'\n",
"target = 'H'\n",
"K = 100"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_digraph(G, pos, title='Original Graph', figsize=(8, 5))"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pred, distance = nx.dijkstra_predecessor_and_distance(G.reverse(), source=target)\n",
"\n",
"# shortest path tree\n",
"T = G.edge_subgraph((i, pred[i][0]) for i in pred if pred[i])\n",
"plot_digraph(T, pos, title='Shortest Path Tree', figsize=(8, 5))\n",
"\n",
"for edge in G.edges():\n",
" tail, head = edge\n",
" G[tail][head]['delta'] = G[tail][head]['weight'] + distance[head] - distance[tail]"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_digraph2(G, pos, T, 'delta', title='Potential Graph', figsize=(8, 5))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"def out(v, G, T):\n",
" out_edges = []\n",
" for head in G[v]:\n",
" if head not in T[v]:\n",
" out_edges.append((v, head))\n",
" return out_edges"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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CIAOAEwQZAJwgyADgBEEGACcIMgA4QZABwAmCDABOEGQAcIIgA4ATBBkAnCDIAOAEQQYAJwgyADhBkAHACYIMAE4QZABwgiADgBMEGQCcIMgA4ARBBgAnCDIAOEGQAcAJggwAThBkAHDCQgg9H2x2UtKhzE0HAL6VikMI111qUK+CDADIHC5ZAIATBBkAnCDIAOAEQQYAJwgyADhBkAHACYIMAE4QZABwgiADgBP/B8askLUXGH4nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# generate H_out tree\n",
"for v in G:\n",
" out_edges = sorted(out(v, G, T))\n",
" h_out_tree = BinaryTree()\n",
" if out_edges:\n",
" max_root, *other_edges = out_edges\n",
" for edge in other_edges:\n",
" h_out_tree.insert(edge, G.edges[edge]['delta'])\n",
" h_out_tree.insert(max_root, G.edges[max_root]['delta'])\n",
" G.node[v]['H_out'] = h_out_tree\n",
"for v in G:\n",
" G.node[v]['H_out'].draw_tree(title=f\"H_out({v})\")"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ajaqqKuh0Ovz+97+HJElyl0U3gCMLog7m1KlTeOqpp2AwGPDpp58iMTFR7pLITtghE3UQFosF//73vzF06FBER0ejoKCAYexm2CETdQDZ2dnQarXo3r07du7ciUGDBsldEjkAO2QiF1ZdXY1Zs2bh7rvvxqxZs7B161aGsRtjIBO5ICEEVq5cCbVajdraWuj1ejzyyCP80s7NcWRB5GJOnjyJJ598EocPH8aKFStw5513yl0SOQk7ZCIXYbFY8K9//QvDhg3DiBEjkJeXxzDuZNghE7mAPXv2QKvVokePHti1axduvfVWuUsiGbBDJpLR+fPn8cQTT+Cee+7BvHnz8MMPPzCMOzEGMpEMhBD43//+B7VajYaGBuj1ekyfPp1f2nVyHFkQOdmJEyeQlpaGEydO4Msvv8To0aPlLolcBDtkIicxm8146623EBsbi9GjR2Pfvn0MY7oCO2QiJ9i1axe0Wi169eqF3bt3Izw8XO6SyAUxkIkc6Ny5c3jxxRexatUqzJ8/H1OnTuWcmK6JIwsiBxBC4KuvvkJERARsNhv0ej2mTZvGMKbrYodMZGfHjh3DzJkz8fPPP+Obb75BXFyc3CVRB8EOmchOzGYz3nzzTYwYMQKJiYnIzc1lGFObsEMmsoOdO3dCq9Wib9++2Lt3L/r37y93SdQBMZCJbkBVVRWef/55rFu3Du+88w7uv/9+zomp3TiyIGoHIQQ+//xzREREQKVSwWAw4IEHHmAY0w1hh0zURkeOHMHMmTNRVlaGVatWYeTIkXKXRG6CHTJRKzU0NOD111/HqFGjkJSUhOzsbIYx2RU7ZKJWyMzMhFarxYABA5CTk4PQ0FC5SyI3xEAmuo7Kyko8++yz2LhxI959911MmTKFc2JyGI4siJohhMB///tfREREwNvbGwaDAffeey/DmByKHTLRVQ4dOoSZM2fi7NmzWLNmDUaMGCF3SdRJsEMm+oXJZMLf//53xMXFYcKECdi7dy/DmJyKHTIRgB9//BFarRaDBg1Cbm4u+vXrJ3dJ1AkxkKlTq6iowDPPPIMtW7Zg4cKFSE5Olrsk6sQ4sqBOSQiBTz/9FBqNBt27d4fBYGAYk+zYIVOnc/DgQaSkpKC6uhrr16/HsGHD5C6JCAA7ZOpEjEYj/vrXv+KOO+5AcnIydu/ezTAml8IOmTqFbdu2ISUlBRqNBnl5eQgJCZG7JKImGMjk1srLyzFv3jykp6dj4cKFmDRpktwlEV0TRxbkloQQWL58OTQaDXr06AG9Xs8wJpfHDpnczv79+5GSkoL6+nps3LgRQ4cOlbskolZhh0xuo76+Hn/5y18QHx+P++67D7t27WIYU4fCDpncwpYtW5Camoro6Gjk5+ejT58+cpdE1GYMZOrQzpw5g7lz52LHjh1YvHgxJkyYIHdJRO3GkQV1SDabDR999BE0Gg169+4NvV7PMKYOjx0ydTh6vR5arRYWiwWbN29GVFSU3CUR2QU7ZOow6uvr8eKLLyIhIQHTp0/Hzp07GcbkVtghU4ewadMmzJw5E7GxsSgoKECvXr3kLonI7hjI5NJKS0sxZ84c7N69G4sXL8b48ePlLonIYTiyIJdks9mwdOlSDBkyBKGhodDpdAxjcnvskMnlFBYWQqvVAgC2bt2KyMhImSsicg52yOQy6urq8Pzzz+Ouu+7Co48+ih07djCMqVNhIJNL2LBhAzQaDYqKiho7ZIWC/z2pc+HIgmRVUlKC2bNnIzs7G0uXLkVSUpLcJRHJhi0IycJqtWLJkiUYMmQIbrnlFuh0OoYxdXrskMnp8vPzodVqoVKpkJ6eDrVaLXdJRC6BHTI5zYULF/DMM8/gt7/9LR5//HFkZGQwjIkuw0Amp1i3bh3UajVKS0uh0+nw+OOP80s7oqtwZEEO9fPPP2PWrFnIz8/HRx99hLFjx8pdEpHLYotCDmG1WrFw4UJER0cjIiIChYWFDGOiFrBDJrvbt28fZsyYAS8vL2RkZGDw4MFyl0TUIbBDJrupra3F3LlzMW7cOKSmpiI9PZ1hTNQGDGSyizVr1iAiIgJnz56FTqfDH//4R35pR9RGHFnQDTl16hSeeuopGAwGfPLJJ7jrrrvkLomow2ILQ+1itVrx7rvvYujQoYiKikJ+fj7DmOgGsUOmNsvJycGMGTPg5+eHnTt3YtCgQXKXROQW2CFTq9XU1GD27NmYMGECZs2ahW3btjGMieyIgUwtEkLgu+++Q0REBKqrq6HT6fDII49AkiS5SyNyKxxZ0HUVFRXhySefxMGDB/Gf//wHCQkJcpdE5LbYIVOzLBYL5s+fj5iYGMTGxiI/P59hTORg7JCpib1792LGjBkIDAxEVlYWBg4cKHdJRJ0CO2RqVF1djSeffBITJ07E008/jS1btjCMiZyIgUwQQuCbb75BREQEjEYjDAYDHnroIX5pR+RkHFl0cidOnMATTzyBY8eO4YsvvkB8fLzcJRF1WuyQOymz2Yx//vOfiI2NRVxcHPLy8hjGRDJjh9wJ/fTTT9BqtQgKCsJPP/2EW265Re6SiAgM5E7l3LlzePHFF/Hdd99h/vz5mDZtGufERC6EI4tOQAiBr7/+Gmq1GlarFQaDAQ8++CDDmMjFsEN2c8ePH0daWhqKiorw9ddf44477pC7JCK6BnbIbspsNuMf//gHhg8fjjvvvBO5ubkMYyIXxw7ZDe3atQszZsxAnz59sGfPHgwYMEDukoioFRjIbqSqqgovvPAC1q5di/nz5+OBBx7gnJioA+HIwg0IIfDFF19ArVZDoVBAr9dj6tSpDGOiDoYdcgd39OhRzJw5EyUlJfj2229x++23y10SEbUTO+QOqqGhAW+88QZGjhyJsWPHIicnh2FM1MGxQ+6AduzYAa1Wi7CwMGRnZyMsLEzukojIDhjIHUhlZSWee+45fP/993j33Xdx7733ck5M5EY4sugAhBBYsWIF1Go1PD09YTAYcN999zGMidwMO2QXd/jwYcycORPl5eVYvXo1RowYIXdJROQg7JBdlMlkwmuvvYbbb78d48ePR3Z2NsOYyM2xQ3ZBGRkZ0Gq1uPXWW5GTk4PQ0FC5SyIiJ2Agu5CzZ8/i2WefxQ8//IAFCxYgOTmZc2KiToQjCxcghMBnn30GtVoNHx8f6PV6TJ48mWFM1MmwQ5bZoUOHkJKSgvPnz2PdunWIjY2VuyQikgk7ZJmYTCb87W9/Q1xcHCZNmoTdu3czjIk6OXbIMkhPT4dWq0VERAT27duHvn37yl0SEbkABrITVVRUYN68edi2bVvjl3ZERJdwZOEEQgh8/PHHUKvVCAwMhF6vZxgTURPskB3swIEDSElJQW1tLTZs2ICYmBi5SyIiF8UO2UGMRiNefvlljB49Gvfeey92797NMCai62KH7ABbt25FamoqIiMjkZeXh5CQELlLIqIOgIFsR2fOnMHTTz+NjIwMLFq0CBMnTpS7JCLqQDiysAObzYZly5ZBo9EgKCgIer2eYUxEbcYO+QYZDAZotVo0NDTghx9+QHR0tNwlEVEHxQ65nerr6/HnP/8ZY8aMwbRp05CVlcUwJqIbwg65HTZv3ozU1FTExMQgPz8fvXv3lrskInIDDOQ2KCsrw9y5c5GVlYXFixfj//7v/+QuiYjcCEcWrWCz2fDBBx8gMjISISEh0Ol0DGMisjt2yC3Q6XTQarWwWq3YsmULhgwZIndJROSm2CFfQ11dHV544QUkJibi4YcfRlZWFsOYiByKgdyMjRs3QqPR4Pjx4ygoKEBKSgoUCv6qiMixOLK4TElJCebMmYM9e/ZgyZIlGDdunNwlEVEn4rZt34ULF3D27NlWrbXZbHjvvfcwZMgQDBgwADqdjmFMRE7nth3y5MmTcerUKeh0OiiVymuuKygogFarhUKhwPbt26HRaJxYJRHRr1wqkOssRhytLsGJmlLozxXhrKkaFpsFKoUKN3n6Qe3fD2G+wQj36wVvVddrbmft2rXYuXMnAGDBggWYM2dOkzUXLlzAq6++io8//hivv/46HnvsMc6JiUhWkhCi1YtjY2NFdna23Ys4XlOKTcXZyCgthAQJZpsFSkkBleLXztZis8IqbPBQqCAgcGdwJH4XEov+vsFXbKuurg79+/fHmTNnAADe3t44ePDgFZfA/P7775GWloa4uDjMnz8fQUFBdv9MRESXSJKUI4Ro8S7GsnbIVaYaLN2/HvmVRyEg4K3qCqWkgBe6NFnrqfRo/LdV2LC9JA/pJfmICgxHyuAJCPD0BQC8/PLLqKmpaVzb0NCAxx9/HBs3bsTp06cxe/Zs5Obm4v3330dSUpLjPyQRUSvJ0iELIbCjTIcPD2yAyWaGj6orJElq13ZqLUZ4Kjzwp9vG46ZKJWJjY1FfX3/FOm9vbzz00ENYuXIltFotXnrpJXh5ed3w5yAiag2X7ZCFEPjyWDpWncyCp0IFX4/2B6MkSfD18EKD1YxF+jU4uWovjEZjk3V1dXVYvnw5du3ahdjYFn8nRESycOq3WJeHsbfKE10uG0PciC5KDxhrLsAW1QO9koc2u0alUuGzzz6zy/6IiBzBqYG8o0zXGMZKyX67tlqsKC4qRsMFI3qNj0LgiAFN1hiNRnz00UfIy8uz236JiOzJaYFcZarBhwc2wFOhsmsYA8Cp4lMQwgbYBKwmC0IfvgMe3ZuOQurr6zF9+nRYrVa77p+IyB6cFshL96+HyWa225jikgsX6lBZWQmb7eKXk8JshaKLCmGPjm52/cmTJ7FkyRK71kBEZA9OCeTjNaXIrzwKn+uczNEeQgDHjh1tDONLLBdM8FP3gXe/m+Dt7Q0/Pz/4+fnB29sb9fX1+PLLL+1aBxGRPTjlKIuNxXshINp1aNv1lJSchsnUgIublaBSKaFSqeDh4QFlN09M/sufMEYMQHBwcONPz5494enpadc6iIjsweGBXGcxIrNUd91TndsrKCgY/v7+8PT0bHK9CqvNhgabGdPjH3bIvomI7K1dI4v6+nqMGTMGVqsVJ06cQEJCAgAgPT0d3bt3R3R0NKKjozF27FgcrS5B4SdbcXTj9U8oObRhD3KXb2p8fOSHHKz8/dv49pG38N0f3kbmP76CqebiCR/rn1qCmpJKKJUK/PjSZ7DUmZpsT6lQQAggIfEuVFdXw2g0YsSIEYiKioJarcYrr7zSuHbatGk4fPhwe34VRER2064Oefny5ZgyZUqzV1GLj4/HunXrGh+vPbkLNmFr0/aLdx+A7usM/O6ff0K3m7vDZrXhyMa9qK+qgafvlUdP3JI0DPu/y0L0I2ObbOfULgN6DeoHPz8/CCGwbds2+Pj4wGw2Y/To0Rg/fjxGjRqF1NRUvPXWW/jwww/bVCcRkT21q0NesWIF7rnnHgCAUqlEYGDgNdfqzxWhi7cnVF2uf3SFqosHPLwuXsMi7z9bMGLmRHS7ufvFIpUKDJwwEv79egIAPH29ISkuzqP7jVbj6NZ9zW6zaFsBgkYNBHDxrD4fHx8AgNlshtlsbpxpx8fHY8uWLbBYLK36/EREjtDmDrmhoQHHjh1DWFgYAKBv375YuXJl4+uZmZmIjo4GANx///0499ue0ExLuOLiQM0Z8Jtfz7CrOl6KHgP7XHPt2Nd/3/hvT19v2BosMJ6/gK7du12xrkJfBO/wmxsfW61WDBs2DEeOHEFaWhpGjhwJAFAoFLjllluQn5+PYcOGXf8XQETkIG3ukCsqKuDv73/N1+Pj45GXl4e8vDy89NJLsNhurOusPFqC7/74L3w97Q0cu0Yn3DXAB3UV1U2eb6iug+T1698cpVKJvLw8FBcXY8+ePdDpdI2v9ezZE6dPn76hWomIbkSbA9nLy6vZC/hci0rR9jF1QP9gVBz6GQAQGN4Lk5c/jZCRt8HSYG52vbXBApVn0w5coVRA1cxH9Pf3R2JiIjZu3Nj4nNFo5BXgiEhWbQ7kgIAAWK3WVofyTZ5+sNh+PVXZ8O0OGL7dcd33RE3/DfYsWYsLZ841Pmc1NR/GQgjUV1bDJzigyWu+fW8Gyi/WWV5ejnPnLm6vvr4emzdvxm233da49tChQ7x9ExHJql1HWSQlJWHHjh0YO7bpkQ1XU/v3Q27Fr4eUnSs6g6C7Rq/iAAADQElEQVTIsOu+p+/tg2E8V4tNz3wIYRPo4tMVAQN6IWT4bU3WVhwsRs+IUChUTY/4CB55K4yGMmDixTtKP/roo7BarbDZbHjggQdw9913AwDKysrg5eWF4ODgJtsgInKWdgVyWloa3nnnnSaBnJCQ0HhM8iVhvsHwuGxsUVtaiZFPTGpxH7eOH45bxw9vcd2RTTkYPDmu2dcGThiJ7EUZwHPAkCFDsG9f8zPozz//HFqttsV9ERE5UrsOe4uJiUFiYmKrrpoW7tcLAgLWX45FTvrH41B62O8EwYABweg9bGCT5602G7xu8sVMbQqqq5t+4Xc5f39/PProo3ariYioPZxyC6f39q9Fekk+fD282/ze9qppqENi72ikDL7bafskImpOa2/h5JSrvY0LGQ4JEtoS/jdCiIsXMhoX0vLIg4jIVTglkPv7BiMqMBy1ltYfLncjai1GRAWGI8w3yCn7IyKyB6ddoD5l8AR4KjzQYG3+8DV7abCa4an0QMrgCQ7dDxGRvTktkAM8ffGn28bDZLM0fsFnb1Zhg8lmwZ8GjUeAp69D9kFE5ChOvcnp6CANkkPjUGcx2T2UrcKGOosJyaFxiA+OtOu2iYicwSl3DLlEkiRMG5AAAFh1MgueCpVd7rHXYDXDZLMgOTSucftERB2NUztk4NdQfiJiEiBJqDHXt/voCyEEasz1gCThiYhJeDA80e63iSIichandsiXSJKE+OBIaALCsHT/euRXHoUQAt4eXaGUWv4bYRU21JmNkCQJ0YHhSBk8gTNjIurwZAnkSwI8ffFC9DQcrynFpuJsZJYWApBgtlmglBRQKhQXj1+GgNVmg1XYfjkNWyCxdzR+FxKL/r68/gQRuQennKnXWnUWI45Wl+BEbRkMVSdx1lQNs80CD4UKN3n6ISIgFGE+QQj368UblxJRh9HaM/Vk7ZCv5q3qisjA/ogM7I+J/UbJXQ4RkVM5/Us9IiJqHgOZiMhFMJCJiFwEA5mIyEW06SgLSZLKAZx0XDlERG4pVAhxc0uL2hTIRETkOBxZEBG5CAYyEZGLYCATEbkIBjIRkYtgIBMRuQgGMhGRi2AgExG5CAYyEZGLYCATEbmI/wfovryzFYHQHQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# generate H_T tree\n",
"h_t_tree = BinaryTree()\n",
"out_root = G.node[target]['H_out'].root\n",
"if out_root is not None:\n",
" h_t_tree.insert(out_root.name, out_root.value)\n",
"G.node[target]['H_T'] = h_t_tree\n",
"for edge in nx.bfs_edges(T.reverse(), source=target):\n",
" h_t_tree = deepcopy(G.node[edge[0]]['H_T'])\n",
" out_root = G.node[edge[1]]['H_out'].root\n",
" if out_root is not None:\n",
" h_t_tree.insert(out_root.name, out_root.value)\n",
" G.node[edge[1]]['H_T'] = h_t_tree\n",
"for v in G:\n",
" G.node[v]['H_T'].draw_tree(title=f\"H_T({v})\")"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# generate H_G tree\n",
"h_g_tree = deepcopy(G.node[target]['H_T'])\n",
"h_g_tree.h_out_insert(G.node[target]['H_out'])\n",
"G.node[target]['H_G'] = h_g_tree\n",
"for edge in nx.bfs_edges(T.reverse(), source=target):\n",
" _, child = edge\n",
" h_g_tree = G.node[child]['H_T']\n",
" for v in nx.shortest_path(T, source=child, target=target):\n",
" h_g_tree.h_out_insert(G.node[v]['H_out'])\n",
" G.node[child]['H_G'] = h_g_tree\n",
"for v in G:\n",
" G.node[v]['H_G'].draw_tree2(title=f\"H_G({v})\")"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"# generate path-graph P\n",
"def edge2delta(G, edge):\n",
" return G[edge[0]][edge[1]]['delta']\n",
"def add_H_G_to_P(P, node):\n",
" for v in G.node[node]['H_G'].traverse():\n",
" v_name = (node, v.name)\n",
" P.add_node(v_name)\n",
" if v.left is not None:\n",
" u_name = (node, v.left.name)\n",
" weight = edge2delta(G, v.left.name) - edge2delta(G, v.name)\n",
" P.add_edge(v_name, u_name, weight=weight, edge_type='heap_edge')\n",
" if v.right is not None:\n",
" u_name = (node, v.right.name)\n",
" weight = edge2delta(G, v.right.name) - edge2delta(G, v.name)\n",
" P.add_edge(v_name, u_name, weight=weight, edge_type='heap_edge')\n",
" if v.h_out is not None:\n",
" u_name = (node, v.h_out.name)\n",
" weight = edge2delta(G, v.h_out.name) - edge2delta(G, v.name)\n",
" P.add_edge(v_name, u_name, weight=weight, edge_type='heap_edge')\n",
" return P\n",
"\n",
"## add heap edges\n",
"P = nx.DiGraph() \n",
"P = add_H_G_to_P(P, target)\n",
"for edge in nx.bfs_edges(T.reverse(), source=target):\n",
" _, child = edge\n",
" P = add_H_G_to_P(P, child)\n",
" \n",
"## add cross edges\n",
"for v in P:\n",
" _, edge = v\n",
" if edge not in T:\n",
" _, w = edge\n",
" if G.node[w]['H_G'].root is not None:\n",
" u_name = (w, G.node[w]['H_G'].root.name)\n",
" weight = edge2delta(G, G.node[w]['H_G'].root.name)\n",
" P.add_edge(v, u_name, weight=weight, edge_type='cross_edge')\n",
"\n",
"## add root node\n",
"P.add_node('RootNode')\n",
"u = (source, G.node[source]['H_G'].root.name)\n",
"weight = edge2delta(G, G.node[source]['H_G'].root.name)\n",
"P.add_edge('RootNode', u, weight=weight, edge_type='root_edge')"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"path_graph_pos = nx.shell_layout(P)\n",
"# path_graph_pos = nx.spring_layout(P)\n",
"labels = {v: v[1] for v in P}\n",
"labels['RootNode'] = 'RootNode'\n",
"plot_digraph3(P, pos=path_graph_pos, node_size=400, title='Path Graph', figsize=(8, 8), labels=None)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"remain_edges = set()\n",
"for edge in nx.bfs_edges(P, source='RootNode'):\n",
" remain_edges.add(edge)\n",
"plot_digraph3(P.edge_subgraph(remain_edges), pos=path_graph_pos, node_size=400, title='Path Graph', figsize=(8, 8), labels=None)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"# find K - shortest path\n",
"\n",
"def sidetracks2path(sidetracks, P, T, source, target, minus_weight):\n",
" tmp_T = T.copy()\n",
" for v, u in zip(sidetracks[1:], sidetracks[2:]):\n",
" if P[v][u]['edge_type'] == 'cross_edge':\n",
" tmp_T.add_edge(*v[1], weight=minus_weight)\n",
" if len(sidetracks) > 1:\n",
" last_sidetracks = sidetracks[-1]\n",
" tmp_T.add_edge(*last_sidetracks[1], weight=minus_weight)\n",
"# plot_digraph(tmp_T, pos, title='Shortest Path Tree')\n",
" return nx.shortest_path(tmp_T, source=source, target=target, weight='weight')"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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JLXjqjFWyzEBFKKXw1BlZeWILFpvVLTHUVlJ/tZfUnajNJJEUoob49ttv6dmzp0tlw8LCGDJkCO+++y7Tp0/n3Llz5T7eitVfE962UaVPXEopNGBDyu5Sy33//fesX7+elStX0qVLFzw8PPDw8KBXr17MnTu3xO3i4+MLJZoNGjQgODiYrVu3VipuIUS+38//QZbZVKkFz6uCh95AlsXE7vN/ujWOmmzZsmVMmzaNy5cvO9+T+qs9pk+fzkcffYTFYu9GKnUnajNJJIWoIfbu3Uvz5s2dr13pptq/f38sFgu//vorULQ7bGkSDx0juGE95+uo9k3o+/YzZW5XXDmjTs/eC8eLlB02bBiLFi0C7Ilkly5daNCgQelxJSYSGxvrfN2yZUt27y6cpBb3nhCi4r7+a4u7Q8in1bB4apg1a9YwceJEoqOjnQlljfq9pP5KtXDhQkaMGEHDhg356KOPWJn4i7tDyid1J8pJ1pEUooZIT0/H37/kbqbFMRqNhIWFcf78+XIfz5SRhbevb6llvnriLZTO3mLZ5G+d6DZ6QLHlPHQGkjPPlrqvs2fPEhkZ6Xx9/vx5GjdujKZp5OTkYDKZit3O39+f9PT0Mt8TQlRMjjWXwxeT8TN4VXgff6z/jX2fbyL9xBmMPp6ENq1P3JDbiWzbuNz78jF4cuhiEjnWXDz1HhWO6VpmsVjIyMjg9ddf5/9mvUmX//c49UMiyr2fzxNeJ/t8Bjq9HqVXBDWMoEmvTrS4uytKV7G2Bqm/suXk5JCSksKo0c/R6q0HiAwOwyfEs0I9hPLqUOnz62vgpy/hGxZY7n1J3YnykkRSiBoiODiYjIyMcm1jNptJS0sjJCSk3Mfz8PfGklX6OMN7P3yBgAZhZe5Locqc7S00NJSjR48C9iQyJyeH9PR0jh07RtOmTUvcLiMjg6CgoDLfE0JUTFJmGgbHmrEVsXfJj+z57wZufrov9Ttcj97Lk+S9f3Hif/srlEgqpTAoHUmZZ2kSEF2hmKqSyWSiR48e5OTkYLFYGDhwYIXHple17OxsdBG+nD97jnMnTxMZGUVEvXro9K4ngXe+8Tj1OzUj93I2qb//wda3V5J24AQ9Xn6wQjHVtPrLY7Va6dSpE/Xr12fVquIniLvatCAPzKZckv5KIuVkCvXr1yckJKTc/xbz6rCyamrdiZpLurYKUUO0bduWI0eOlGublStXYjAY6Ny5c7mPF9Q4kovJVbOMhoaGUZd/X0rTNNLS0tiyZQsff/wxr732Gps2beLnn3/G29ub8PBw7rrrLpf2ffDgQeLi4sp8TwhRMYkZZ7Botgptm5uewW+LvuOmp/oQe1NLjF4e6NC4Lq4hnUf2rXBMVs3GX5drxrp2np6e/Pjjj+zevZvff/+dtWvX1qgx2t4xIaAUVquN1NQUdu/ZTWrqKWzW8tWph583DW9pzW2ThnB07Q7O/5la4ZhqUv3lmTt3Li1btnR3GIV4x4Sg9DqsNhu5uWZO/HWCvXv3cu7cOTRNc0tMNbHuRM0liaQQNUSfPn3YtGmTS2XPnz/Pp59+yqhRo3jxxRcJDQ0tUmbjxo2l3tVs2b0DKbuOVTjePKuencemf3/J5RNn6du3L02bNsXHx4eYmBh69+7NM888w7Rp09i2bRuapmEymVBK0atXL8xmc5kXZJs2baJ3797O1ydPnuT8+fN07dq10rELIeDoxeQKb3tm11GsuRYadmtR+AObBtnZFd6vBhxJr3hcVUkphZ+fH2DvBWI2m902u2Zx/Brnj3W32bRKJ5ThN1yHb3ggp/cUHffuqppUfwDJycmsXr2aJ554wt2hFFKw7oAakVDWtLoTNZt0bRWihhg6dCjt2rUjOzu7xCVA4uLiUErh4eFBXFwcs2fPZvDgwcWWTUpK4qabbirxeIMeeoBx/YZjyTFj8DRWOO7Lpy8QcFtTflv1MyfXFF6DqqQlOmw2G/PmzeO///0vbdq0Yd26dcWWS01N5cCBA9x7773O95YsWcKjjz6Kp6d71tsS4lpzyZyFriKJkQamS1l4Bfig0+s4d+4s2dkm9AW6VZoMBqwV2Ldm1LF85598+9IH5Y+rkubPn094eHih96xWKx07duTYsWOMGjWKLl26OD/Lzc1l4cKFJS5jVNV27dpV6LXB3xPNVjhZtNk0QCMl5SQpKSdpFNuIkNDSh0AcPXoM0FBKofPzIOV4EsZjFbvZ6K768/Dw4PPPP0ev1xd6f8yYMcyYMaPY4SOZmZlMnDix3D2CKiolJcX5vLi6A3tCac21kZiYyF9//UWrVq1KPed9/+pCNECv1xHZ7nrunDa8wvHplCLDXPGbQKJukUSyjkvOTGNDym72XjhOcuZZcm0WPHQGGviG0Sa4EbdGx9HAN7zsHYlKCwsLY+jQobz//vuMGTOmyOflvSu5adMmJkyYUOLnd7fqwbw723Fo5S+0Tii67MjjP80q8xiZZ9LxDQuk2a0d+Pnv812OLTo6mqSkpDLv6s+cOZNXXnkFDw/7oP+cnBzmz5/PTz/95PKxhBClM9usKCqQSCrw8vfGdCkLm9WG0Wgk4/JlgoPD7B8C/nodFq/yT+KTi5XowBj6NO9f/rgqybeYScj0ej2///476enpDBgwgH379tG6dWvnZ926dSMqKuqqxDd37lySk/NbjJTBYG9GuoJS9vHr/v7++Pn7lbnfnJwcwsPD8fT0wHLJRFBEKGFhZY+RL4676k+nKzrWd9WqVdSrV4+OHTsWOxO6h4cH99xzz1WbwG3Hjh1kZmYCJdcd2BM6FAQHhzjPgSW5/fXHOKUyaNjwuiI3QcpLoTBrpc95IEQeSSTrqLTsdN47tJr9FxLRsC/f4KU34q33QEMjJescf10+w+qkbbQOjuWpFn0J95bJTarbtGnTqmxfH374Yamfx/iF89A/RrD/QmKFj+FbL4hb336S1sGxDJ0xj2HDhpFdRnc2o9HIkCFDXOoaNmtW4WTW09OTQ4cOVTheIURRRp0eraSr2TLUa90IvdHAX1sP0ejmlly8dAlNAz+/AsmYny8Yyne5kWkx0TikEffE3VOhuKpLUFAQt956K2vXri2USLZt25a2bdtelRhWrFhR6LVmsVDwPoBSCqXsE5xFR0djNLrW40SnU/j7+5H511myz2XQqEurCk9qVpPqb/PmzXz99desWbMGk8nEpUuXeOSRR/jkk08A+zmpR48eVy2ecePGOZ9fWXeQlwxDZGQkEfUiXJ44SSl7L57Q0FB0FZxxFxxzHihJD4RrZIxkHbQ97TDPb3uP/RcS8TV44W/0xkvvgc4xa59O6fDSe+Bv9MbX4MW+C4k8v+09tqcddnfoooqNbNEXg05PrtVcoe1zrWYMOj0jW/YjISGBRYsWldgtt6BOnTq5bSIBIURhAUYfbBX89+gREkiHwfH88t63JG49TKBvAGlpaZzYeZRfF663FyphaZ/S2DQNf2PZf0uuhrS0NGdrVXZ2NuvXr6dFixZlbHX1WDJyUI6WOJ1OERYWSps2bWjYsKHLSSSAJTuXk9sOs2HyJzS5qwMh11e8hbUm1d/06dNJTk4mMTGRzz77jNtuu82ZRLpbXt2BPYHU63VERUUS1zaOqKiocs2+C+Dj40taWulLcZWlJtWdqPnklkMdsz3tMLP2LsdDZ8DPhT8USin8jN7kWs3M2rucsW0GcmN486sQqbgawr2DGN1qALP2LgfAQ+/6RUeu1UyuzcLYNgMJ87KvV5WQkICmaTz22GMltkx6eXkxduxYXnnlFQYNGkRCQgJt2rSpUZNXCFGXNA1swMZTeyq2sUFPm4TueAf7sXvpz6QnnUXnaSC0cSQdH4q3l7FYwWwBo+uXHApoFtSgYjFVsdTUVB599FGsVis2m42EhAT69evn7rCcsv86j7rZnkCWpwUyz/qX5qPT67FpNoJiI2md0IMW/UseX++KmlR/NdnlP88Qdksz+9jGcrZAFqd+/WiOHDlCeFhYhfcjdSfKQxJJN3v55ZeJiIgodkxcVVq3bh1z5r1N6NjueOgM5UoYID/BmLt/BXO6Pu1MHKrS2LFjadKkCU8//TRgH68RFxfHzz//XOk+/6JkN4Y3Z2ybgczdv4LL5mx8DV6lJnWappFpMWHQ6Yu9sfDAAw+gaRrDhw8vkkwajUaee+45Xn/9dXbs2MHSpUu5++678fb2diaVrVu3lqRSiKso1r8eBlWJDkpeXjSJb0OT+DaAvdXuzJnT1LuuwMWoKRuM/i7vUq90NPSLqHhMVaht27ZFJripCYxGI3q9nr916oEpNhp/r6JjO8vywNLXnM8PHDhAbGwsPj4+lY6tJtVfQfHx8cTHx7s7DAB8fHxQ53MICQqmfpPICid+Dyx9DU2D07/txNvbG39/f86knSEyMrJC+6updSdqJuna6kZpaWl89NFHPPXUU4B9uYaCf+CUUvj6+uLn5+d8zJgxA4BJkyYxadIkl4/16quvEjOwMxabFQ+9kfk9xjo/W/33d1h0x4ss/tvLzsd3L9knTknddYzVf38HsCeTFpuV9w4Wv5DvokWLGDZsmPN1bm4ukydPpmHDhnh4eBAdHU3v3r357rvvnGViY2NJTEwE7OMGpk2bRm5uLmAfDzd8+HDeeOMNl7+nqJgbw5szu8tIWgfHkmkxkWHOxmTNxabZ0DQNm2bDZM0lw5xNpsVE6+BY5nR9usTW6QcffJD58+cX6eZqNBoZPHgwSiluvPFG3nzzTRITE/noo4/Izs6mX79+3HDDDUycOJH9+/dfja8uRJ0X4xuOxfFvvUL0eijQCubt7Y3BaCQj41J+GasNzK51odc0DYtmI0YmeiuWXq9Hr9fz2GOP8ccff/D/3pgLel2NGS4g9Vc6o9GIr68vr7zyCgc37yIoJBilq7qbp9HR0Zw+fRqr1VrubaXuRHlJi6QbLVq0iD59+pQ6pmz37t00adKkUsfZvn0759LPcynGgK+h+Nnzuo0ZQPN+Za/LlzdmMjkzrdTZXFNSUrj99tv5448/0Ov1mM1mfv31V/bt28fq1auLXYw+KiqKFi1a8PXXXzNw4EAABg8eTLt27Zg2bZos91DNwr2DeK39w0Vm8jXbLBgrMJPvQw89BMDjjz/ubJkMDQ2lVatWhcoppejcuTOdO3fmzTff5Ndff2Xp0qX07t0bPz8/EhISGDRoUJHthBBVw1PvQYvAGI5cTMbXWP4ZVgHw8iqUKIaGhHLq1Cn8/QPyexiYTIUSzpJkWXJoERiDZzl7ztQVU6ZMYerUqYVmia10/VUhqb/SrVixgujoaOfapFVdd15eXgQEBHL69Bmio8s3zlXqTpSXJJJu9O233zJ8eMXX+inPcRq2b44Gle4yqJRCAzak7GZI0zsKfWY2m0lMTKR79+5s27YNs+Oiwmw2o9friY6OpkGDBvTq1avE/cfHx7N69WpnItmgQQOCg4PZunUrPXsWXaJCVL0GvuFF6raiCiaTubm5PProo6WWV0rRpUsXunTpwptvvsm2bdtYtmwZvXr1IiAggISEBBISEmjZsmWVxCeEsLu7YVdm7Vle8R3odeBhhFz7330vLy88PD24dOkigYGOmT+tNvvnHmVcpCq4p2G3isdyjYuOji7yXqXrrypJ/ZWqWbNmhV5XR91FR0dx8OBB6tULx1CeGZOl7kQ5SSLpRnv37qV58/yugfHx8cWucVSc8nRr3bt3L0T6YtTlL9DryhqBAFHtm9C3feEWUaNOz94LxwF7N4hdu3bx7rvv8tlnn6GUKnbB36CgoGKno87r1pqnZcuWfPHFF0Xe2717tySStdRDDz2EpmkMHTrUmVi6QqfT0a1bN7p168bMmTPZunUry5Yt48477yQ4ONg5prImzZ4oRG3VLuR6fIxe5FoteOgreGmQ1yrp6GEZGhJKSmoKAQEBqLwxmDmOVskS7mnmWi34GLyIC2lcsRjqqCqpvyog9Vd+5a07s9nMwYMH8fPzp3HjRsWW8fT0JDg4mNOnT1O/fn2X4pC6ExUhYyTdKD09HX//0icf6NChA0FBQc7HunXrKnScTIMFD13Jf6C2zP2Kxb1eYXGvl/m4z6vs/PDbEst66Az8dek0s2bNonHjxvTo0YOFCxdy+fLNjsJtAAAgAElEQVTlYpNIgJCQEIKCgggMDMSrlMWp/f39iywKXNx7onYZPHgwp0+f5oYbbqjQ9jqdjptuuonZs2dz4sQJ3nvvPc6dO8ftt99O27ZtmTp1KocPy/I0QlSUQaen/3XdyLGZKz7WTqcDY/7C6Z6ennh5eXHx4sX8MlYbmHOL3VzTNHJsZvpf1w1DgRufomxVUn+VJPVXMeWpu4sXL7Jv3z5yc81lzs4bFRVFWloaZrOlzBik7kRFSYukGwUHB5eYeOX57bffKj1GMjg4mFOZF1El3ALWNI3rH7qZ0K7X06hRozLXATx79iypF9JY9o+FLp+wGjZsyJEjRzh27BhNmzYtsVxGRkaRBZCLe0/UPqGhoVWyH51Ox80338zNN9/M7Nmz+eWXX1i6dCm33nor4eHhzjGVV3YfKovJZMLT01NmjBV1Vu+YG9mQuptTWecrMVbS054oOlslQzh5MoWAgMD8Xikmkz3hvOKfWpYlh2ifUHrH3FjxL1GHVUn9VYLUX8WVVXeaTSMpOYmzZ89is9n/cen1pSd8Hh4ehDjGKsfElL6ch9SdqChpkXSjtm3bcuTIkatynOyT59EomvSlp6eTmZmJ0WikZYuWLi0mHxoSSoCvP0aj0eWL7qSkJCZMmMCSJUsA2LlzJ6mpqUVmFTt48CBxcXFlvicE2JPKW265hbfffpvk5GTmzZvHqVOn6Nmzp3OSpqNHj7q0r3Xr1tGkSRMefvhhvv/++2qOXIiax6gz8PdW96IBFlv5Z3wE7K2SHvmtkh4ennj7eHPxYoFeJTYNcgu3SlpsVjRgdKsBGEvpPSNKViX1V0FSf5VTWt2ZTDnsP3CgUBKpAFcuv6KiIjl37izm3JJnTJa6E5UhiaQb9enTh02bNlXJvpRSJY6v7NOnD+f3niDXlt+9wWq1kZiYSFJSMt7e3gQHB7k0/fTqv7/DzkXr6Ni4Ffv27aNTp074+pa+dpVSiubNm6NpGhs2bADgySefpH379nh7e1O/fn1uvPFG7r33Xt577z2ysrJYsGABa9euZf369Zw7d44uXbq4/mOIOkmn09G9e3f+/e9/k5yczNtvv01KSgrdu3enffv2TJ8+nWPHjpW4ff/+/dm8eTO9evVi1qxZ7Nu37ypGL0TN0Mg/kkGNupNlycFW0S6Snl6FWhtDQ0JIT0/HVvACOcfkbLW0aRpZlhwGNepOrL+sX1cZVVJ/5ST1VzWKq7tz585x4MABckwmZxIJgHJt8kSj0UhYWBipp1KL/VzqTlSW3Hpwo6FDh9KuXTuys7NLbAmMi4sr9MfiiSeeYM6cOYXKJCUl4e/vT5s2bYrdR4cOHQgKDOLU/kRi2zbj8uXLHD9+nICAAG644QZO6H9iy5wVbP33Suc2gTH1uPfD54vsK/NMOs1uiKFNcCOaNm3Ktm3bWLBgAc8//zwmk8k5U+uV1q5dy86dO2nTpg3r1q1zLv9hNps5deoUKSkp7Nu3j02bNhEbG8tPP/1ESkoKe/bsISsri6CgIKKiooiOjiY6Opr69es7nxd8r6wxp6Ju0Ov19OjRgx49ejB37lx+/vlnli1bxpgxY/j888+LvflhtVqJjIxkyJAhzJs3j6SkJFq3bu2G6IVwrwGxN3MmO50NqbvxM3qjK293b50CD0/IyQHAaPTA19eX9PR0QkIcXdxtGuTmYPPw4LI5m9ui4xgQe3MVf5O6qdL1Vw42TZP6q0J5dfdDyi7OJZ/h4sWL2Gy2Ekq7Vq+RkZHs27ePyIhIPDzzewtI3YmqIImkG4WFhTF06FDef/99xowZU+RzV8cfbtq0iVGjRpU6Bm3q61P554xJ6EN8OH/uPLGxDQkMDASg79vPuHSczDPpeAf7EdWpCbdG27uaKqV4/PHHufvuuxkxYgTr168nKyur0HYBAQHO2TavZDQaiYmJISYmhqVLl/Kvf/2LZ56xx5OTk0NcXBx79uzB39+flJSUIo/ff//d+fzkyZPodLoiyeWVCWdUVJRLXXjFtUGv1xMfH098fHwpJ2RYv349TzzxBLfddhuRkZEl3pgR4lqnUzpGtOwLwIbU3fgYPMs/AYenJ+TmOFsdg0NCSEpKIjAwyDm2y2LKJktZuS06jidb9EWnpJNUVaiS+nOBxWYly5Ij9VeFdErHjdlRvLPyXbzaRRU7JMlOudS1FcBgMBAeXo+U1BRiY2MBqTtRdVR5Zvfq1KmTtmPHjmoMR1SX3bt3M+LrN/C6PoxGUTHlW1eogMvmbFoHx/Ja+4eL/XzNmjUMGzaMjIwMTCYTYJ91devWrRWesdNVmqaRkZHByZMni006895PTU3Fz8+v2BbNgq8jIiLKnBVNXBtsNhs6nY4tW7Ywbdo0pkyZQvv27d0dVp2glNqpaVond8dRm1XXudmm2ViRuJllx39GAT6Gck5GZTKBKcf5Mi3tDEqnIzQ0lCzs47IGRXRkwI33yoVsNShv/R04cIDY2Fh8fHxK3a/m6A6pAYMadWdA7M1Sf1VA0zTeeustxo8fT7Ypm6g+cUTf3R4NDWtW4d5eOqVo0KAB9SLqObaF337bSceOHYvdt9VqZe/efTRv3hybAak7USZXz83SInmNs1qtzJw5k1mzZjF51jQ2R5/FVuIdrtLlWs0YdHpGtuxXYpk+ffrw559/8tJLL7FgwQKys7PJyckpdgHlqqaUIiAggICAgFIXrNc0jXPnzhVKLlNSUti7dy/r1q1zvp+WlkZYWFiZCWdYWFixa2SK2sFkMjmXpOnWrRthYWGcPXvWzVEJ4X46peP+Rt3pENaUt/d/RUrWOTx1RtfXKfR0dG/Na5UMDuGvlGQMwf7E6HwZTVNiz/uAxQpG+Rta1Spdf8XItVrIsZmJ9glldKsBMq6uCh04cIB//OMf9mRfg9TVu0nfk0TjJ+PxigzEmmNBMzvGGStc7dkK2HvmhEeGc/LcKdo3ukHqTlQZSSSvYX/++SePPvooBoOB7du307BhQzqlHWbW3uUAeOhdb23LtZrJtVkY22YgYV6BpZb18/Nj3rx5PPbYYzz00EOcOHHC2Y22JlBKERYWRlhYGG3bti2xnMVi4cyZM0VaNbds2VLovUuXLhEZGVkk4bwy6QwMDJSlJWoYq9XKf//7X0JCQujfvz9//PEHer2e7OxsADIzM5k3bx4Gg4GBAwfSsGFDN0csxNXXyD+SGZ2f4Nuk7aw8sYVMi32inDJbKJUCTy80UzZZWMEAAT6+xP4viek9EjCiA7MZ/vwTmje/el+ojqlw/TnktUCiwMfgxcBG3ekdc6PM8FnFWrVq5Uwmf/jhB0wmE9lJ5zkw5Svq3X4Dkb3aovexj3HUTOZy111keAT/+89XzJnwuCSRospI19ZrkKZpzJ8/n5dffplXXnmF0aNHF2ox2552mLn7V2CxWfE1eJX6x0jTNDItJgw6PaNbDeDG8PKd7C0WCwcOHCg1YavtcnJySE1NLbErbd7DbDaXOlFQ3vOyuhVVBZvNxiOPPMKePXu4++67mT59erUfsybSNI3//ve/fPjhh5w9e5aYmBg6d+7MuHHj8PX1RdM0fvrpJz755BNWrFhBkyZNSEhIYODAgVx33XXuDv+aIF1bK+9qnpstNiu/n/+Db/7ayqGLSRiUDqtm7+eiUwqFQkPDpmkoQI8OS9ZlWmh+3EN9GqbD358Zxdy5cwkPD7fv1GCA228vtGyIqB6l1V/SiRNERkTi6eWZX39Kh0Wz0SIwhnsadiMupLEsWH8V7NmzhxdeeIFffvnFeWMTnSKwdQMi/9aGgOaRhIeG4x/gb/+3h+LIkSM0a96s1Lqb89Zstm7dyvLly9359UQt4Oq5WRLJa8zp06d54oknOHnyJB9//DGtWrUqtlxadjrvH1rNvguJaIBRp8dDZ3BeBOTaLJhtVhTQOjiWkS37ldkSKUp3+fLlYsduXpl0enp6ljk7bWRkJB6VuOiyWq2sX7+ebdu2sWHDBjZu3IjVai1zgeNrWd7v36lT8X83zWYzP/74I8uWLeOrr76iadOmzqQyJibmKkd77ZBEsvLcdW7OseaSlHmWvy6f5kh6MhnmbMyaBaMy4G/0pllQAxr6RRBz6hKeh/PXc128eDGXL19m1KhR+Ttr0gRKGZIgqt6V9bfo80+4pUd3IsLqFa4/3zA89ZLku8OCBQt4+umnMRgMhSYy9AsKYOKc6bS/sxtH0pO5mJvJwsWLeHzY8FLrLisriyZNmrBq1So6dOjgjq8kaglJJOugFStW8PTTT/PEE08wYcIElxKN5Mw0NqTsZu+F4yRnnsVss2DUGWjgG0ab4EbcGh1HA9/wqxC9AHsLWXp6erEtmgWTztOnTxMUFFRqwhkdHU29evVKTQ4XLlzI999/z6efflrnE8nyMJvN/PDDD86kskWLFgwaNIiBAwfSoEEDd4dXq0giWXk1/txstcIPPziXA8nIyGDkyJHMnDmTqKgoexm93t4q6enpxkDrtvbt27NgwQKZaKwGueuuuxg0aBAtW7ZkzJgxHDp0iMzMTHx9ffnPf/7Do48+CthvDnt4eGC1WsvYI8ybN4+1a9eyatWq6g5f1GIy2U4dcvHiRUaPHs3mzZtZsWIF3bp1c3nbBr7hDGl6RzVGJ8pDKUVwcDDBwcEltiaDvWtqWlpakRbNnTt38s033zjfP3/+PPXq1WPLli3FtpodP36cyMjI6vxK1ySj0UivXr3o1asX7777Lj/88ANLly5l6tSptGzZ0plU1q9f392hCuF+er29xXH/fsA+k3ffvn357LPPeP55x3rFViscOwal/N0Toi7ZtGkTf/zxB8OGDcNoNLJ9+3Z+/PFHxowZw759+yp84/fJJ59kxowZbNmypVzXi0IURxLJWm7jxo0MGzaM3r178/vvvxe70Lq49uh0OiIiIoiIiCj17rHZbObUqVP5d/2vcPr0aZqXMMnFjh07OHz4cKEWTn9//yqJ/1ri4eFB79696d27N7m5uXz//fcsXbqUyZMn06pVKxISErj//vuvyszFQtRYsbHwxx/2JUGA/v37M2LECJKTk/Nb8RMT4frrwTGLshB1laZpjB8/nokTJzqXIVNKcfvtt7Nnzx42btxY4bknPD09GT9+POPHj+f777+vyrBFHSSJZC1lMpl49dVX+fzzz/nggw/o3bu3u0MSNZDRaCx1/N6ZM2fo2bMnQKFJlywWCykpKaxevbpQq6dOpyuxG23e+1FRUc7lNOoaDw8P+vTpQ58+fcjJyXEmlRMmTKBNmzbOpLKkxF6Ia5ZOB82awZ49APj6+jJgwACWLFnCP//5T3sZmw2OHIFreHI2IVyxfv160tLSePjhomt2K6W49dZbK7X/YcOG8cYbb7Bx40bi4+MrtS9Rt0kiWQvt2rWLRx55hFatWrF7925CQ0PdHZKopXJycujatStAoZl9DQYD99xzD/fcc4/zPU3TyMjIKDJ28/jx42zevNn5fmpqKn5+fqWO3axfvz4REREYDNfunyBPT0/69u1L3759ycnJYf369SxdupTx48fTtm1bZ1IpXYtFnRETY+++6pg0pF+/fjw5YgTHjx+nUaNG9jInTti7wV6F2auFqInyWiMnT55cbfMWGI1GJk2axPjx4/npp59kaTJRYdfuVdw1yGKx8H//93/MnTuX2bNnM3jwYPnHLyrkjTfeYOHChRw9epRHHnmEl19+mV69ejm70BRHKUVAQAABAQG0LGV2RU3TOHfuXJEJg/bu3cu6deuc7589e5bQ0NASl0HJe4SFhRVKcmsjT09P+vXrR79+/TCZTHz33XcsW7aM1157jbi4OGdSGRFR9Wt7XTmhVq7NgodMqCXcIa9V8vffAfDy8mLg/fezZMkSXn31VXsZTbO3SrZr58ZAhXCfVatWYTKZGDhwYLUeZ/DgwUybNo3vvvuOv/3tb9V6LHHtkllba4ljx44xdOhQfHx8WLhwoSw3IColr+vqqVOnOHbsGI0aNaJr165X9caExWLhzJkzJa67mfe4dOkSkZGRpa69GR0dTWBgYK27sWIymVi3bh1Lly5l9erVdOjQgUGDBnHfffdVOqlMy07nvUOr2e/iEj9PtehLuHdQlXyv8pBZWyuvVp2bNQ02bIDMTMDeK+Kpp57i1VdfpWnTpvYySkF8PPj5uS/OOkhmbXU/m81Ghw4dmDx5Mv3793d5u/LM2lrQ0qVLefPNN/n1119r3flTVC9Z/uMaoWka77//PuPHj2fChAmMGjWq1rfOCFEeOTk5pKamlrjuZt7DbDaXuvZm3nOfGtplLjs725lUrlmzho4dO5KQkMB9992Xv3C7i7anHWbu/hVYbFZ8DV6lXiBomkamxYRBp2d0qwHcGF785EvVRRLJyqt15+aTJ+G335wv16xZw6+//sqkSZPyy9SvD7LO3VUliaT7LVu2jBkzZpQ7satoImmz2Wjfvj1Tp04tNJRFCFn+4xqQmprK448/zpkzZ/j5559p0aKFu0MS4qrz9PQkNjaW2NjYUstdvny52DU3f/3110LveXp6lrn+ZlRUlEvrsFYlb29v7r33Xu69916ys7NZu3YtS5cu5cUXX6RTp04kJCQwYMCAMpPK7WmHmbV3OR46A35G7zKPq5TCz+hNrtXMrL3LGdtm4FVPJkUdEx0NR49CRgYAd955J19++SUHDhzghhtusJc5edI+VjIgwI2BCnH1WK1WJk6cyOzZs69a66BOp2Pq1KmMHz+efv36SUOFKDdpkayhli1bxnPPPcfIkSN59dVXSx27JoRwjaZppKenl9iNNu/906dPExQUVOb4zXr16pU6GcLLL79MREQEY8aMqXDMWVlZzqTy22+/pXPnzs6kMiwsrFDZ0f94ns3ZR7lhYHc89OX/m5FrNWNDY07XpwnzCqxwzKXp3LkzCxcudK6TKi2SlVcrz82nTsH27c6X69evZ8OGDUybNi2/TGQk3HijG4Krm6RF0r0++eQT3n///QpNflPRFkmwnxe7dOnCuHHjSEhIKPf24tokLZK1VHp6Os8++yzbt2/n66+/pnPnzu4OSYhrhlKK4OBggoODad26dYnlrFYrZ8+eLdKNdufOnXzzzTfO9y9cuEC9evWKbdX09fVlwYIF7Ny5E03T2LRpE5MmTWLjxo3OWHx8fFBK4enpSbt27RgxYgQPPPCAM474+HgmTZrEfffdx3333UdWVhZr1qxh2bJljBs3ji5dujiTSpvNxsLFi7lr8d/x0BtJ3XWM3xZ+R9+3nwFgfo+xGLw8QIHeaCCkSTQt7u5K49vzLxrXP/8BLYf05L3AVbzWvui08wXFxsayceNGYmNjGTZsGEuWLCnUinv99deze/duEhMTiY+PJzExEYBx48YxYcIEvvjii/JWn7iWREZCYCBcvAjAbbfdxvLly9m9ezdxcXH2MqdO2T8PrJ6bGkLUFGazmUmTJvHhhx9e9bGKSimmTp3KmDFjuP/++6ttplhxbZJEsgb54YcfeOyxx+jfvz+7du2qsWO5hLjW6fV6IiIiiIiIKPXuvNls5tSpU0VaNH/66Sd++eUXcnNzadOmDdnZ2QQFBZGdnU1CQgLR0dEATJkyhfbt2+Pj48OePXt49tlnOXToEBMnTiz2eD4+PgwcOJCBAweSmZnJmjVrWLp0KWPHjiUitj6BcTH4epbcnXXAgrEENAjDlH6ZpG2H2DJnBeknztDhsfwZ+7z0Huy7kEhyZlq5ZnP95z//yeuvv15muXvuuYeRI0dy6tQpWfqkrmvRArZtA+z/5gYPHswnn3xC27Zt8y+mDx2CLl3cGKQQ1W/x4sXExsa6bU3Hu+66i7CwMJYsWcKQIUPcEoOonSSRrAGys7N56aWX+PLLL5k/fz533XWXu0MSQrjAaDQSExNT7CzKt912GxMmTOCRRx4hKyuLFStWMHPmTO6//35SUlIA2LhxY6EWTpvNxuTJk1m/fj0NGzbkzz//ZPny5Zw5c6ZQa6eXlxe+vr4MGjSIQYMGkZmZyQ1d2+HbtAH79u3Dz88P68UMShq64BXkR9O/dcLgaWTT60u44b5b8Ar0Bex3pzVgQ8puhjS9o8p/My8vLzp27Mi6det49NFHq3z/ohapVw+Cg+HCBQBuueUWli5bxs6dO+nUydGj6swZOH8eQkLcGKgQ1ScnJ4epU6fy2WefuS0GpRSvv/46w4cP58EHH5ThVMJlkki62Y4dOxgyZAjt27dnz549BAcHuzskIUQV2Lt3L82b2yet8fHx4eGHH+bhh/O7i77wwgvMnj2bJk2aAPnrb0ZGRtK3b18aNGhA27ZtOXnyJEuXLnW2eqampuLn51ekK+3pv1Lo/NgtRDWJxZRt4pLSUX/4TRw9epSQ4OIvwhve0hqb1UbawRPEdG3p7AZrsuay98LxUr9fXlfVssTGxhYp27JlS3bv3u3S9uIa16IFbNkC2FslH3a0Snbs2DG/VfLwYejWzY1BClF9PvzwQ9q0aUM3N/8/3rNnTxo3bsyiRYt48skn3RqLqD0kkXQTi8XCtGnT+M9//sPbb79daFyUEKL2S09Px9/f3+XySinCwsIICwvjuuuuK5R0FmSz2Th//nyRCYNys0xk55hITk4mN9eMxWLGYDBgMplIPpkMwJEjR2hgsDi7lOoMerwCfcm5lFXoGB46A8mZZ8v1fWfOnMm8efOcr/v378/ixYuLLevv709qamq59i+uUWFhEBoK584B0K1bN5YuXcrWrVvzL6zPnrU/rphcSojaLisri2nTpvHNN9+4OxQApk6dSkJCAkOGDMHLy8vd4YhaQBLJarJp0yZ+/PFHmjZtyoMPPojBkP9T22w2Pv74Y3755Rd+++036tev78ZIhRDVITg4mAzH8gauMpvNpKWlEVJKNz6dTudMOJ2TkgD/euv/iAqpR72WDQF7C6fFYiE314zZnMsOwNPTi5ycHOc2NosVU/plPAMKj8dWKMw2S7liHzdunEtjJAEyMjIICgoq1/7FNaxFC9i8GbDfUHn44YdZtHgxnTt3zp/44/BhSSTFNefdd9+la9eudKgha6Z27dqVtm3b8sEHH/Dcc8+5OxxRC8iCMdVgwoQJPPvss0RFRTFr1izeeecdbDab83OdTscjjzzCt99+K0mkENeotm3bcuTIkXJts3LlSgwGQ4Vmaw5qHMnF5DTna6UURqMRX18fZ9LWsOF1NGzY0Fnmr//tQ+l1hLe8rtC+NDSMuuq7z3jw4MFCSbCo40JC7OMlHTp16oSPtzf/+9//8sucP28fLynENSIjI4MZM2YwefJkd4dSyJQpU5g+fTpZWVllFxZ1niSSVSwpKYnk5GS++eYbRo4cyaxZs1iwYEGRtX2MRuNVn+JZCHH19OnTh02bNrlU9vz583z66aeMGjWKF198kdDQ0CJlNm7cWOrfjJbdO5Cy65hLx8u5lMWx73byy+wvaTv4NudEO3lybRZsh85Vy98ok8nEzp07ufPOO6t836IWc4wnBvtNkEceeYQlS5YUPnceOuSGwISoHm+//TZ33HFHqUtRuUOHDh246aabeOedd9wdiqgFpGtrFatfvz5TpkyhQYMGmM1mbrvtNqKiojh9+jQNGjRwd3hCiKtk6NChtGvXjuzsbLy9i1+SIy4uDqUUHh4exMXFMXv2bAYPHlxs2aSkJG666aYSjzfooQcY1284lhwzBs/iZ9xbMXwWKPvYyNAm0XR9tj/X31m0S5XZZiX4sr7U411pxowZzJkzx/nay8uLs2eLjrP85ptviI+Pdy6BIgQAQUH2tSVPnQLsLfohISFs2LCBO+5wzB588aL9c1k2RtRy6enpzJkzh82OLt01zeTJk7ntttt46qmnyjXWX9Q9kkhWMZ1O50wYjUYjZ8+e5dSpUzJoWYg6JiwsjKFDh/L+++8zZsyYIp+XtDRHSTZt2sSECRNK/PzuVj2Yd2c7Dq38hdYJPYt8/vhPs1w6jqZpKODi/pOlHq+gRYsWsWjRIpfKzpw5k/nz57tUVtQxzZs7E8m8VsnZs2fTs2fP/OUIDh2CiAiQHj2iFnvrrbe4++67adasmbtDKVarVq244447mDt3Lq+99pq7wxE1mCSS1chms3Hs2DGuv/56wsLC+P3330lNTaVXr17SrVWIOmDatGlVtq8PP/yw1M9j/MJ56B8j2H8hsVLHybSYaB0cy2uLXq3UfkqyzbEAvRBFBARAdDQ41llt1aoV9evX5/vvv6d37972MhkZ9s9lfgFRS509e5b//Oc/7Ny5092hlGrixIncfPPNjBo1SpamEyWSMZLVSKfToZQiNDSUGTNmMGjQIABJIoUQ1WJki74YdHpyreYKbZ9rNWPQ6RnZsl8VRyaEi5o3L9Ta+PAjj/D5558Xmm2YI0egnC36QtQUM2bM4IEHHiA2NtbdoZSqWbNm3HPPPbz11lvuDkXUYJJIViGzuejF244dO/jggw84fPgwmzZtyr+rKoQQVSzcO4jRrQaQa7OQY8nFarWVvZFDrtVMrs3C6FYDCPMKrMYohSiFnx8UmE+gWdOmNG3alLVr1+aXuXwZkpPdEJwQlXPq1Cnmz5/Pq69WT4+PqjZ+/Hjeeecd0tLSyi4s6iRJJKuA2WxmwoQJJCQkYLEUXnvtlltu4b333mP+/PkyuYQQotrdGN6cO7VmHDpymKMn/ihzLKamaVw2Z2NDY2ybgdwY3rzU8kJUu2bNCrVKDh48mC+++AKTyZRf5sgRsLl+o0SImmD69OkMHTq01iz9FhsbywMPPMCMGTPcHYqooSSRrKSDBw/SrVs3du7cyTvvvIPBUHjYaVxcHCNGjHBTdEKIuuT06dMMGjSIUX2HsOeVZYTnepNpMZFhzsZkzcWm2dA0DZtmw2TNJcOc7RwTOafr05JEiprBxweuy1/btFGjRrRq3ZpVq1bll8nKgqQkNwQnRMUkJSXxySef8NJLL4UvSgkAACAASURBVLk7lHJ59dVXmT9/Pqmpqe4ORdRAkkhWkM1mY+7cufTo0YMRI0awatUqoqKi3B2WEKIOslqtzJs3j+uvv56VK1fax5NdNtPL2pyZXUbQL6YL0T6hmKxmLpmzMFnNRPuE0i+mCzO7jOC19g9Ld1ZRszRtCrr8S5TBDz3EV199RWZmZn4ZaZUUtcjrr7/OiBEjiIiIcHco5VK/fn2GDRvG9OnT3R2KqIFk1tYKSEpK4rHHHiMrK4stW7bQpEkTd4ckhKijtm/fztChQzlx4gRZWVnO9728vIiKiqKBbzhDmt7hxgiFqABvb2jYEI4fByAmJoaOHTvy9ddf89BDD9nLmEzw11/QqJEbAxWibH/++SdffPEFR44ccXcoFfLSSy/RsmVLxo0bx3UFegsIIS2S5aBpGp988gkdO3bk9ttv56effpIkUgjhFhcuXGD48OH07NmTQ4cOFUoi80TKwu2iNmvaFPR658sHH3yQVatWkZGRkV/m6FGwWt0QnBCumzJlCs899xwhISHuDqVC6tWrx4gRI3j99dfdHYqoYaRF0kXnzp1j5MiRHDx4kO+++4527dq5OyQhRB2kaRqLFy9m9OjR5OTkFF4WoQCLxSLd7UXt5ukJsbHwxx8AREVF0a1bN1asWMHQoUPtZXJy7K2WclNX1FCHDh1izZo1HD161N2hVMo//vEPmjVrxosvvsj111/v7nBEDSEtki5Ys2YNbdu2pWHDhuzYsUOSSCGEW+zfv5+OHTvy7LPPcunSpRKTSACTyVTrxuIIUUSTJlBgErsHHniAtWvXkp6enl/m2DG4YsZ0IWqKSZMm8cILLxAYWLvHoYeEhPDcc88xZcoUd4ciahBJJEtx+fJlRo4cyTPPPMOnn37KzJkz8fLycndYQog66sUXX2TPnj2FJxwpgY+PDx4eHlchKiGqkYcHNG7sfBkeHk58fDzLly/PL2M2w59/uiE4IUq3Z88eNm7cyHPPPefuUKrEmDFj+Pbbbzl48KC7QxE1RJ1KJK1WK+vWrXOp7JYtW2jXrh05OTns2bOH+Pj46g1OCCHK8OWXXzJx4kS8vb3R6Ur/8x0aGnqVohKimjVuDEaj8+XAgQP58ccfOXfuXH6ZP/6wJ5RC1CATJ07kpZdewtfX192hVInAwEBeeOEFJk2a5O5QRA1RpxLJBQsW0KtXr8J3Mq+Qm5vL/2fvvsOauvs2gN8ni0DYwwmKooATca+6rZVqq6JSQa3Po3VbtbZYFZDlrKO1bltr66pgq3XWPnXU+VIn4gAc4EKQvSEkOe8fkQRkj3BC8v1c17n0hB/JjZLxPb+1bNkyjBkzBt988w1++uknmJqa1mFKQggpnUgkgq+vLyIiItCzZ89yP5zQsFaiM4RCoMicLEtLSwwZOhQhoaHqNjKZai4lIdrgxo0buH79OmbOnMl1lFo1b948/PPPPwgPD+c6CtECelNIZmdnY/HixQCA//73v6VurHrv3j306NEDERERuHPnDkaPHl3XMQkhpEIODg64fPkyNm/eDB6PB4Gg5LppdnZ2HCQjRENatFAOc33LfcwYXLp4EQkJCeo2T58CUikH4QgpydfXF8uWLdO5KVESiQRff/01li9fznUUogX0ppBcu3Yt8vLyAAC5ubmYMGECWJYFACgUCmzYsAEDBw7E3Llz8ccff9DVfEKIVmMYBvHx8RgwYADGjx8PIyOjYl9vQXvrEV0iEBRbmdXMzAxubm44dOiQuo1crlx4hxCOXb58GZGRkZg6dSrXUTRi5syZqh5Xot/0opBMSEjAunXrkJubC0C5LP6NGzewfft2PHv2DIMGDcKRI0cQFhaGqVOngmEYjhMTQkj5njx5gnXr1uGHH37A/v37cfr0adjZ2cHIyAhCoRC2trZcRySkdtnbA0V6d0aNGoWwsDDExcWp28TEAG8vGhPCFV9fX/j5+ensgmdisRg+Pj7w9fXlOgrhmF4UkkuWLIHsnaXBs7OzsWDBAri6usLNzQ0XLlxAyyIrwxFCiLZiWRazZs3C4sWLVT2P/fr1w6NHj/DFF1+AZVka2kp0D59frFfS2NgYH330EQ4ePKhuo1AA9Xy/PlK/nTt3Dq9evcKkSZO4jqJR//3vfxEVFYVLly5xHYVwSOcLyaioKPz666+QljJvQiqVwsbGBosWLQKfz+cgHSGEVN3BgweRkJCABQsWFLvdwMAAQUFBePHiBUaOHMlROkI0qHlzwNBQdTryo49w584dPHv+XN3m+XPg7QgkQuoSy7Lw8fGBv79/qXPXdYlIJIKfnx98fX1VU8WI/tH5QnLevHnlbtr98uVLrFy5sg4TEUJI9aWkpGDRokXYuXMnhEW2RCiqUaNGZX6NkHqNxwMcHVWnRoaGGD1mDA7s369uo1AA0dEchCP67vTp08jIyICHhwfXUerEpEmTEBcXh3PnznEdhXCk3lwueZmdiPNx4YhIjcHL7CRIFTKIeALYSqzRwaIFBjZxga3Eptj3XLp0CVeuXIFCoSjzfnNycrBq1SqMHDkSnTp10vSPQQghNbJ48WK4u7ujR48eXEchhBu2tspFdbKzAQAfurnhj6NH8eTJEzgUbhPy4oVyGKyO7N9HtB/LsvD19UVgYKDejHITCAQICAiAj48PBg0aRGuM6CGt75FMzE1D0O39+DJsJ068CENcTjLEfCHMhEYQ84WIy0nGiRdh+DJsJ4Jv70dibhoA9RyinJycCh8jNzcXo0ePVq3qSggh2ujSpUs4ffo0jaIg+u2dXkkDAwOMHTsW+w8cULdhWeqVJHXq6NGjYFlW77aO8/DwQGZmJk6dOsV1FMIBrS4krydGYWHYdtxPjYVEIIaJ0BBivgg8hgeGYcBjeBDzRTARGkIiEONeaiwWhm3H9cQohIaGIjY2ttKP9eLFC/j5+WnuhyGEkBrIz8/H9OnTsWnTJpiamnIdhxBuNW0KGBurTj/44APExsQgMjJS3eblSyAzk4NwRN/I5XL4+voiKChI73rleDweAgMDaa6kntLaQvJ6YhTWRxwGDwyMhYYVPjEZRtmOBwbr7h7GV1uCkP122EtRhoaGMDMzg5GREQQCAZo2bYp+/fph1qxZ+OCDDzT14xBCSI2sXbsWrVu31rur3YSUimEAJyfVqVAohIeHB/YXnSsJAFFRdRyM6KOQkBCYmJjAzc2N6yicKHxfOnLkCMdJSF3TyjmSiblp+O7+EYh4Aoj4VVswQsQX4nV8PKw/6YzkqJfIT85Co0aN4ODggI4dO6Jt27Zo1aoVWrduDVtbW70Zx04Iqb+io6Px3Xff4datW3p3tZuQMjVuDJiaAhkZAIDBgwfj8OHDuHfvHtq3b69s8/q18uvUi080RCaTYfny5di2bZvevj4zDIPg4GB4e3vj448/ps/WeqRKPZIJCQmayqFy5swZ9HMbAplCXuUispCNhTUaNW2CeYfXIC8vDy9evMCFCxewadMmzJw5E0OGDEHz5s2r9Yt+/PjxEqtxubu74/Tp09XKSggh5WFZFjNnzoSPjw+aNWvGdRxCtAfDAM7OqlOBQIAJEyZg3759xYfYFR3uSkgt27t3L5o2bYpBgwZxHYVTw4cPh4mJCQ4dOsR1FFKHqlRI2tgoV0W9cOECBgwYoLqdYRhIJBIYGxurjrVr1wIA/P394e/vX+nH+GrJYjR17wqJQAwA+LHfItXXTn6+FXuGLMbPw5aojoR7sSXaGRkZopG5NWKkiXidl1Ls/mNjY2Fvb1/stl9//RU9evSARCJBgwYN0KNHD2zdulX1RjRlyhTs2bMHADBy5Ejcv38fd+/eVX3/4sWL4ePjU+mfkRBCKuuXX35Beno65s6dy3UUQrRPw4aAubnqtH///khPT8edO3fUbRISgNRUDsIRXSeVShEYGKiXcyPfVdgr6e/vD5lMxnUcUkeqVEjyeGU3Dw8PR1ZWlurw9vaucpjr16/jTUoirNralfmE7LVgND49s0p1NGxvX2o7hmHAAjgfF17uY65fvx7z58/HV199hfj4eCQkJGD79u24cuUKpFJpqd8zYcIE7Ny5U3XevXt3ZGRk4MaNG5X6OQkhpDKSkpLg7e2NXbt26fzm1oRUW5FeST6fD08vL+x9t1eS5koSDdi9ezecnJzQt29frqNohUGDBqFp06bYu3cv11FIHdGqxXZOnz6NBi4tIeTVzthqIY+PiNSYMr+enp4OPz8/bN26FWPHjoWJiQkYhoGrqyv2798PAwODUr9vwIABOHnyZIW3EUJITSxatAheXl7o3Lkz11EI0V42NoClpeq0T+/ekBUU4N9//1W3SUwEkpM5CEd0VW5uLoKDgxEUFMR1FK3BMAyCgoIQEBBQZmcM0S3VusQ9YMAAXLhwoVJtqzKsNSIiAvxGxhDx1LGmXlxfqe8trZ2IJ8DL7KRit9nb26u2Bbl27Rry8/Px8ccfl3vfhcNaC7Vp0waxsbHIyMhQLcPfpk0bXL58uVJZCSGkIufOncOFCxdw//59rqMQov2cnYGrVwEoR095eXlh//796Natm3o0VWQk0KcPhyGJLtmxYwe6du2Kbt26cR1Fq/Tt2xdt2rTBjz/+iFmzZnEdh2hYrfVIdu7cGebm5qrjzJkzVb6PtLQ0MIZCMCh7nPm1745ir9sy7HVbhqNTN5R7fwwYFCjKHqedlJQEa2vrYkPGevfuDXNzcxgaGuLixYulfp+JiYkqb9Hbip4TQkh15eXlYebMmdi8eTOMi+yVRwgpg5WVsmfyre7du0MgFOLq2+ISAJCSouyZJKSGsrOzsWbNGgQGBnIdRSsFBgYiODgYubm5XEchGlZrk25u3bqFVq1a1eg+LCwskJSbCRZsmcVkr/mj4DSiZ6XujwULIa/sH9HKygpJSUmQyWSqYrLwTcfW1hYKhaLU78t8u8GxeZEJ/pmZmcXOCSGkulauXImOHTti5MiRXEchpP5wclIVigzDYKKXF3bt2oVevXqpV2mPjCxWcBJSHZs3b0a/fv3QsWNHrqNopW7duqFbt27Yvn07Fi5cyHUcokFaNUeyY8eOUCRkQVpOL2JVSBUy2Eqsy/x6r169YGBggD/++KNK9/vw4UPY29urhrUW3ubi4lLtrIQQAgAPHjzAtm3b8N1333EdhZD6xcJCuYrrW66urjA1NS0+uigtTbmKKyHVlJ6ejvXr11dp6pY+CgwMxJo1a5CVlcV1FKJBdV5IMgxT5vxKNzc3JITHoEAhr9Fj3Np9Bic/34oChRwdLFqU2c7c3BzLly/H7NmzcfjwYWRmZkKhUODOnTvIzs4u8/v++ecfDB8+vMLbCCGkKhQKBWbMmAF/f380bdqU6ziE1D9OTqq/MgyDSZMm4eDBg8W3I4iMBIqu6EpIFXz77bcYPnw42rRpw3UUrdaxY0cMGDAAmzdv5joK0aAqFZJlDfUEABcXl2L7SC5YsKBEmxcvXsDExAQdOnQo9T46d+6MhpY2SHn4oviy3VWU/SYNDdrbgwEwsEn5vYTe3t7YsGED1q5di4YNG6Jhw4aYMWMG1qxZg969e5f6PQcPHsSMGTNU59evX4exsTG6d+9e7cyEELJ7924UFBRg5syZXEchpH4yMwMaN1adtm/fHg0aNMC5c+fUbTIygPh4DsKR+i4lJQXff/89/Pz8uI5SL/j7+2P9+vVIT0/nOgrRkCrNkUwsY5J6ZYu+f/75B3PmzIGVlVWZbb5ZtQbzVy2FVRs7GAsNi33tw02zK/U4SdEv0W/tFLS3sIetpOK5EF5eXvDy8qrUfR8/fhxt2rQpNox19erVCA4OrtT3E0JIaRISErB06VL8/fff6vlchJCqc3ICXr9WnU6cOBFr167FwIEDIRQKlTdGRgKNGgF6vok8qZp169ZhzJgxcHBw4DpKveDs7Aw3Nzds3LiRhgLrKKYqPX9du3Zlb9y4ocE4Som5aVgYth08MBDxhVX+fqm8AAqw+LbnLFiLzTSQkBBCapenpyfs7OywZs0arqPUKYZhbrIs25XrHPVZXb031yu3bgGvXqlOAwMD0blzZ4wYMULdxtUVsLXlIJx2cnV1xe7du+Hq6sp1FK305s0btGnTBrdv30azZs24jlOMXC6HSCSCXF6zqWGa8OTJE/To0QNRUVHldiQR7VLZ92atWmynkI2hOea3Gw2pQgapvKBK3yuVF0CqkGF+u9FURBJC6oUzZ87g//7v/2i4FCG1xcmpWG+jl5cXDh8+jPz8fHWb6GignCk7hBS1evVqeHl5aV0Rqe0cHBzg7u6OdevWcR2FaIBWFpIA0M3GCYs6jIUCLLIKciscPsuyynYKsFjUYSy62TiV254QQrRBTk4OZs+eja1bt0IikXAdhxDdIJEAdnaqUwcHBzg5OeHUqVPqNtnZwMuXHIQj9c2rV6+wZ88eLFmyhOso9ZKPjw927NiBBFoxWedobSEJKIvJjT1mor2FPbJlecgsyEWeXAoFqwDLslCwCuTJpcgsyEW2LA/tLezxbc9ZVEQSQuqNwMBAdO/eHR988AHXUQjRLY6OAE/9McfT0xO///47copukk69kqQSVqxYgalTp6JxkYWcSOXZ2dlh4sSJWL16NddRSC2r0mI7XLAxNIePqxdeZififFw4IlJj8DI7CQUKGYQ8AWwl1uhg0QIDm7hUamEdQgjRFhEREdi9ezfu3r3LdRRCdI+hIdCsGRAbCwBo3rw5XFxccOL4cYwfP17ZJjcXeP4csLfnLCbRbrGxsTh06BAiIyO5jlKvLVmyBO3atcOXX35J21vpEK0vJAvZSmwwqfUQrmMQQkitUCgUmD59OoKDg9GoUSOu4xCim1q3VhaKb3sdJ0yYAG9vb7i5ucHY2FjZ5tEj5TBYWi2ZlCIoKAizZ8+GjQ11VtRE48aNMW3aNKxYsQJbt27lOg6pJVo9tJUQQnTV9u3bwefzMW3aNK6jEKK7xOJivY1NmzZFjx498Mcff6jb5OUBz57VfTai9aKjo3Hs2DEsWrSI6yg6wdvbG4cOHUJMTAzXUUgtoUKSEELqWFxcHJYvX44dO3aAx6OXYUI0qlWrYr2NHh4eOHnyJDIyMtRtHj0CZDIOwhFtFhAQgPnz58Pc3JzrKDrB2toas2fPRlBQENdRSC2hTzCEEFLH5s+fjxkzZqBdu3ZcRyFE9xkYAC1bqk4bNmyI9957D7/99pu6jVQKUC8JKeL+/fv4+++/MX/+fK6j6JRFixbh2LFjiI6O5joKqQVUSBJCSB06ceIE7ty5g2XLlnEdhRD94eAACNTLQowfPx7/+9//kJqaqm7z5AlQULW9q4nuWr58Ob766iuYmJhwHUWnmJubY+HChQgICOA6CqkFVEgSQkgdycrKwty5c7F9+3YYGhpyHYcQ/SEUKovJt6ysrDBo0CCEhoaq2xQUAE+fchCOaJtbt27h6tWrmD17NtdRdNLnn3+Ov//+G/fu3eM6CqkhKiQJIaSOLF++HP369cPgwYO5jkKI/mnZUllQvjV27FhcuHABiYmJ6jZPnyqHuRK95ufnh6VLl8LIyIjrKDrJxMQEX331FZYvX851FFJDVEgSQkgduH37Nvbt24f169dzHYUQ/SQQKBfeecvc3BzDhg1DSEiIuo1MphziSvTWtWvXcPfuXXz22WdcR9Fps2fPxrVr13Dr1i2uo5AaoEKSEEI0TC6XY/r06Vi9ejXtRUYIl1q0UC6+89aYMWNw9epVxMfHq9vExAD5+RyEI9rAz88Pvr6+MCjye0Jqn5GREZYuXQo/Pz+uo5AaoEKSEEI0bPPmzZBIJJgyZQrXUQjRb3x+sV5JExMTjBgxAr/++qu6jVwOPH7MQTjCtQsXLuDp06f0Wl1HPvvsM0RERODatWtcRyHVRIUkIYRo0IsXLxAUFIQdO3aAYRiu4xBC7O0BsVh1+tFHH+HGjRt4+fKluk1sLJCbW+fRCHdYloWvry/8/f0hLDKXlmiOgYEBfHx84Ovry3UUUk1USBJCiAbNmzcP8+bNg5OTE9dRCCEAwOMBjo6qU4lEglGjRuHAgQPqNgoF8OgRB+EIV/766y8kJSXB09OT6yh6ZcqUKYiJicGFCxe4jkKqgQpJQgjRkCNHjiAyMhJff/0111EIIUXZ2QFFVuQcMWIEIu7dQ0xMjLrN8+dATg4H4UhdK+yNDAgIAJ/P5zqOXhEKhfD394evry9YluU6DqkiKiQJIUQDMjIy8Pnnn2PHjh20aAMh2uadXkmxWIyx7u7FeyVZFoiO5iAcqWvHjx9Hfn4+xo4dy3UUveTp6YmkpCT89ddfXEchVUSFJCGEaICPjw/ef/999O/fn+sohJDS2NoCEonqdPjw4Xj06BEeFR3S+vIlkJXFQThSVxQKBXx9fREUFAQejz4Wc4HP5yMwMBA+Pj7UK1nP0DOGEEJq2fXr1xESEoJvvvmG6yiEkLIwDFBk7rJIJML48eOxf/9+dRvqldR5hw8fhoGBAUaOHMl1FL3m7u4OqVSKY8eOcR2FVAEVkoQQUotkMhmmT5+OdevWwdLSkus4hJDyNGkCmJioTocOHYqXL1/iwYMH6javXgEZGRyEI5oml8uxfPlyBAUF0araHOPxeAgKCoKvry8UCgXXcUglUSFJCCG16Ntvv4W1tTW8vLy4jkIIqQjDAM7OqlOhUIhPPvmkeK8kAERF1XEwUhcOHDgAa2trvP/++1xHIQBGjhwJsViMw4cPcx2FVBIVkoQQUktiY2OxevVqbNu2ja5uE1JfNGoEmJmpTgcOHIikpCSEh4er28THA+npHIQjmlJQUAB/f38EBwfT67WWYBgGwcHB8PPzg0wm4zoOqQQqJAkhpBawLIs5c+bgiy++QKtWrbiOQwipiiK9knw+H56enti3b1/xhT8iIzkIRjRlz549aNmyJS2IpmWGDh0KGxub4isoE61FhSQhhNSC0NBQPHv2DF9++SXXUQghVdWgAWBhoTrt27cvcnJzcfPmTXWblBTaV1JH5OfnIygoCEFBQVxHIe8o7JUMCAhAQUEB13FIBaiQJISQGkpLS8PChQuxY8cOiEQiruMQQqrjnV5Jr8JeSR4PcHAAhg4FdHhP2L59+8LU1JTrGHVi165d6NixI3r27Ml1lFrTq1cvriPUmv79+6Nly5bYs2cP11FIBQRcByCEkPpuyZIlGDlyJPr06cN1FEJIdVlbK4+kJABArz59EG9kBPmgQRAIhYBAtz8yrVy5EoaGhlzH0DiWZdGsWTOsXr2a6yi1hsfj4cSJE1zHqFXffPMNXr9+DZZlaQ6rFtPtV0VCCNGwq1ev4o8//ii+XQAhpH5ycgKSkwE7OzBt2uDjoUPB1+FeyKJMimyDossYhoGbmxsEOnRhgGEYmJubcx2jVnXq1Ant27enIlLL6c6ziBBC6lhBQQFmzJiBjRs36tybOCF6ydISeP99gMcDBALwuc5DNEKXikhdRv9P2o/mSBJCSDWtW7cOdnZ2GD9+PNdRCCG1RSSqcBgry7LIyspCQkJCHYUi1ZGcnIykpCTk5uZyHYXUInr+aQ8qJAkhpBqePHmC9evXY+vWrTT0hhA9k5eXh6NHj2LKlClcRyFluHz5MmbNmoX33nsPAQEBSKd9QHUGPf+0BxWShBBSRSzLYtasWVi8eDHs7e25jkMIqQMKhUK1r6ShoSEmTJgAhUKBvXv3cpys5q5cuVLq7fHx8Xj58mUdp6kdPj4+8PT0xP/+9z8kJyfD09NTZ7eTiIiIQNLbRaLelZ+fX8dpNEOXn3/1GRWShBBSRQcOHMCbN2+wYMECrqMQQjQsOTkZz549A4/HU40+kMlk4PP5+OKLL3D27FmOE9Zcv379MHnyZMhksmK3x8fHY/LkyRylqr5Lly4hJycHo0aNgq2tLXbt2oW8vDyEhYUBAM6ePYu7d+9ynLL2fPrppxAKhapzhUIBAMjJyUG/fv24ilUr9OH5V59RIUkIIVWQkpKCL7/8Ejt37iz2xk0I0U3ff/89WrRogRkzZmD27Nk4ePAgcnNz8ddffyEgIACdO3fmOmKNdejQAdbW1hgxYgSysrJUt3fq1KlezkNr3rw5li5dCplMpuqFHDZsGC5fvgwAmD9/Pvh83VlKSaFQwMzMTHXepUsXAICRkRGkUilXsWqFPjz/6jNaDokQQqrA29sbY8eORffu3bmOQgipA9OmTcPhw4cxfPhwZGVl4ciRI/jhhx8gl8vh7u6OmTNnch2xxhiGwYYNG/Ddd99hwIABOHz4MOzt7ZGVlQUer/71OTRr1gwNGzZUrfrJsiwGDx6MdevWYdGiRejWrRvatWvHccrao1AokJubC0NDQ2RkZODJkyfIycmBgYFBiV7m+kYfnn/1GRWShBBSSRcvXsSff/5Je0YSokdsbW0xbNgw3L17F35+fpg4cSJSUlJgaWkJmUymLFZYFqjHi24VDhmcP38+7O3tMWDAAHTq1AkPHz7EnDlzOE5XPQZF9v9kGAZdunSBXC7Hxo0b8ejRIw6T1T4PDw8MGzYMQ4cOxfnz5zFnzhz069cPAoEAY8eO5TpejVTq+Uc4Q//6hBBSCfn5+ZgxYwY2bdoEU1NTruMQQuqQt7c3Jk+ejMzMTJiYmMDS0hIAIGAYQCYDMjMBCwuOU1bfypUrVX//+OOPMXjwYISFhaFp06ZwdnbmMFntmjt3LpycnODg4MB1lFq1bNkyuLq6IjIyEps3b0bbtm0xZswYsCyrE6Nnynz+URHJOaZwBaTK6Nq1K3vjxg0NxiGEEO0UGBiImzdv4ujRo7TdRy1iGOYmy7Jduc5Rn9F7c9148uQJmjVrBqFQiPzcXIiEQjBPnwJPnij3nRw8GKiHw0B1WV5eHsRicbHbFApFvRyuq++KPv9K+38ltauy7830TCKEkApERUVh06ZN2Lx5MxWRhOgpBwcHCHk8QC7HvePH8fvs2UBUlLJHMi8P3iihgAAAIABJREFUiI3lOmKN5OXlqVb71AVPnjzB7NmzIZfLi92ui0Uky7Ilfk5d4+DgAKFQCLlcjunTp+P58+dcRyKgQpIQQsrFsixmzpwJHx8f2NnZcR2HEMIFlgXkcuD5c+Dvv9EkLQ2///orMjMz1W0eP1a2qafc3Nxw//59rmPUmsDAQDRv3lynVmcti0KhgEQi4TpGneDz+bC1tUVwcDDXUQiokCSEkHL9/PPPyMzMxLx587iOQgjhCsMAT58C9+4BUikaN26MXr164ciRI+o2+flATAx3GWsoNTW13q/wWejhw4c4ffq0Xu31W7jNiT748ssv8fvvv+Px48dcR9F7VEgSQkgZEhMTsXjxYuzcuVMvrmoTQsrRvLlyLuRbHh4e+PPPP5GWlqZu8/ixcqgr4ZS/vz+++OKLYnsrEt1haWmJefPmITAwkOsoeo8KSUIIKcOXX34JLy8v2vCYEAKIREDLlqpTGxsb1Z6LKgUFyp5Lwpnw8HD8888/NIpExy1YsAB//vknHj58yHUUvUaFJCGElOLs2bO4cOECXfEkhKi1bAkIharTsWPH4ty5c0hOTla3efJEWVASTixfvhxff/213swZ1FdmZmZYtGgR/P39uY6i16iQJISQd+Tm5mLmzJnYsmULjI2NuY5DCNEWQiFQZA9CS0tLDB06FCGhoeo2MpmymCR17vr167hx4wZmzpzJdRRSB+bOnYuLFy8iPDyc6yh6iwpJQgh5x6pVq+Di4oIRI0ZwHYUQom1atFAOc33L3d0dly5eREJCgrrN06fKxXdInfL19cWyZctoj0E9IZFI8PXXX8PPz4/rKHqLCklCCClCoVDA3d0dW7du5ToKIUQbCQRAq1aqU1NTU7i5ueHQoUPqNnK5cuEdUmcuX76MqKgoTJ06lesopA7NmDEDt27dwr///st1FL1EhSQhhBTB4/HQoUMHNGjQgOsohBBtZW8PFOn1GjVqFMLCwhAXF6duExsL5OXVeTR9xLIsfHx84OfnB1GR3mKi+8RiMZYtW0a9khyhQpIQQt7B49FLIyGkHHw+0Lq16tTY2Bgff/wxDh48qG6jUACPHnEQTv+cO3cOcXFxmDRpEtdRCAf++9//IioqCpcuXeI6it6hT0uEEL0UFRWFn376CX/++SfOnTuH3NxcriMRQuqTZs0AQ0PV6YiRI3Hnzh08e/5c3eb5c4BeWzSqsDcyICAAgiL7fBL9IRKJsHz5cvj4+IBlWa7j6BUqJAkheodlWYwePRo3b97EL7/8ghMnTmDp0qW4fPky19EIIfUFjwc4OqpOjQwNMXrMGBzYv1/dRqEAoqM5CKc/Tp06hczMTHh4eHAdhXBo4sSJiI+Px9mzZ7mOoleokCSE6J3Q0FC0bdsWmzdvxrZt2zB27FjY2toiJCQEN2/eBAC6qkkIqZitLVBkv8IP3dwQGRmJJ0W3/3jxAsjO5iCc7mNZFr6+vggMDKQpCXpOIBDA398fvr6+9P5dh+hZRwjRO87Oznj27BkiIiJgZmaG3r17Y9y4cWjQoAE2btyIgoICMAzDdUxCiLZ7p1fSwMAA48aNw/4DB9RtWBaIiuIgnO47cuQIAGD06NEcJyHawMPDA1lZWTh16hTXUfQGFZKEEL3TsWNHjB8/HgEBAdj/dhhas2bN4OPjg+TkZNy6dYvjhISQeqNpU8DYWHU6bNgwxMbEIDIyUt3m1SsgM5ODcLpLLpfDz88PwcHBdOGPAFAulBcYGAhfX18oFAqu4+gFKiQJIXrp888/h7u7O65cuYJZs2bh1KlT+Pfff3H79m20bduW63iEkPqCYQBnZ9WpUCiEh4eH6iKVCvVK1qpDhw7BxMQEw4cP5zoK0SKjRo0CwzCq3mqiWVRIEkL0koGBATw8PDB37lx07NgRX3/9NX788Uds2LABJiYmXMcjhNQnjRoBpqaq08GDByM+Ph4RERHqNq9fA+npHITTPTKZDP7+/tQbSUpgGAZBQUFYvnw55HI513F0HhWShBC9VFBQAB6Ph7Zt22LWrFm4e/cuNm/eDE9PT66jEULqm3d6JQUCATw9PbFv377iC39Qr2St2Lt3L5o2bYpBgwZxHYVooeHDh8PU1BSHDh3iOorOo0KSEKJ34uLi8N1335WYQyEUCjlKRAip9xo2BMzNVaf9+vVDRkYG7ty5o26TkACkpnIQTndIpVIEBAQgKCiIeiNJqRiGQXBwMJYvXw6ZTMZ1HJ1GhSQhRO/Mnz8faWlptFw8IaR2FemV5PP58PTywl7qlaxVP/74I5ydndG3b1+uoxAtNmjQINjZ2eGXX37hOopOo09RhBC9cuLECdy5cwfLli3jOgohRNfY2ABWVqrTPr17Q1ZQgH///VfdJjERSE7mIFz9l5ubixUrViAoKIjrKKQeCAoKQmBgIKRSKddRdBYVkoQQvZGVlYU5c+Zg+/btMDQ05DoOIUQXOTmp/srj8eDl5YX9+/cXH0pfdGsQUmk7duxA165d0a1bN66jkHqgT58+aNOmDX788Ueuo+gsAdcBKutldiLOx4UjIjUGL7OTIFXIIOIJYCuxRgeLFhjYxAW2EhuuYxJCtNjy5cvRv39/DB48mOsohBBdZWWl7JlMTAQAdO/eHYdCQnD16lX1cMyUFOXXbehzS2VlZWVh9erV+Ouvv7iOQuqRoKAgjBo1ClOmTKELyBqg9YVkYm4atkeexP3UWLAAhDw+xHwhDPkisGARl5OMZ1lvcPJFGNpb2GOG84ewMTSv8H4JIfrl1q1b2LdvH+7du8d1FEKIrnNyUhWSDMNgopcXdu3ahV69eoHP5yvbREZSIVkFmzdvxoABA9CxY0euo5B6pLAHe/v27Vi4cCHXcXSOVg9tvZ4YhYVh23E/NRYSgRgmQkOI+SLwGB4YhgGP4UHMF8FEaAiJQIx7qbFYGLYd1xNpIjshRE0mk2H69OlYs2YNbOiDGyFE0ywslKu4vuXq6gpTU1NcvHhR3SYtTbmKK6lQeno61q9fD39/f66jkHooMDAQa9asQVZWFtdRdI7WFpLXE6OwPuIweGBgLDSscIlnhlG244HB+ojDtVtMsqxyYvzTp8CTJ7ShMCH1zJYtW2BiYoJPP/2U6yiEEH1RZAVXhmEwadIkHDhwoPh2BJGRys8YpFzffvst3Nzc4Fzk35SQyurQoQMGDBiAzZs3cx1F52jl0NbE3DR8d/8IRDwBRPyq7etW2P67+0fwbc9ZsBabVT9Idjbw4oXyyMsr/rWWLYG2bZWbEBNCtNaLFy8QFBSEK1eu0J5jhJC6Y2oKNG4MvH4NAGjfvj0aNWqEs2fPYtiwYco2GRnKrzdpwmFQ7ZacnIzvv/8eYWFhXEch9Zi/vz/ee+89zJo1C2ZmNagNSDFa1yO5Y8cOfDT1E8gU8ioXkYVEfCFkCjm2PzxR9W+WyYDnz4ErV4Bz54BHj0oUke6rVuF0aCjw8iUAICEhAW3atEF+fn618hJCNINlWcydOxeff/45nIqspEgIIXXindcdLy8vHDp0CAUFBeobo6KoV7Ic69atg7u7OxwcHLiOQuoxZ2dnfPjhh9i4cSPXUXRKlQvJCxcuYMCAAapzlmWxadMmtG/fHhKJBLa2thg3bhwiIiIAAFOmTMGePXsqdd9SqRQBQYGw+dgFEoEYma9TcGh8sOrrh8YHY8+Qxfh52BLVcXXj7wCA6NP/4uLKg6q2hXMmX2Ynlngcf3//YuPsMzIy8MmoUTAzNISBWIxmXbpgrLc3wopsGsx89JHq74vd3eGzbx8QEwMAaNiwIQYOHIidO3dW6uckhNSNo0ePIjo6GosXL+Y6CiFEH5mYALa2qlNnZ2fY29vjzJkz6jZZWcCrVxyE034JCQnYsWMHfHx8uI5CdICfnx82b96MZNrHtdbUuEdy/vz5+O6777Bp0yakpKQgOjoao0aNwsmTJ6t8X3/88QcsmzeCoY1pmUPQhq6eik/PrFIdvReOKbUdwzBgAZyPCy/z8V5ER2PDrFmwt7TE+ePH0SkvD0G9e+Ph1q345L33cPrmzeLf8PYXr7ujIzJycnAjXH3fXl5e2LFjR9V+YEKIxmRkZODzzz/Hjh07YGBgwHUcQoi+cnQsNg3Gy8sLoaGhxUcxRUcDRfeZJACANWvWYOLEibCzs+M6CtEBLVu2hLu7O9atW8d1FJ1RozmSjx49wpYtW3Dt2jV0795ddbuXl1e17u/06dOw6GAHIY9fk1gqQh4fEakxxW7Lzc3Fw2vXEP/vv8hfsQK35XLksyzGAGABtLSwgEQmw9hu3TC2d28gM1O1hDdevlTuDwVgQIcOOHn9Orq+vd8ePXrg6dOnePbsGZo3b14r+Qkh1bds2TIMGzYM/fr14zoKIUSfSSSAnZ1y2gwABwcHODs74+SpUxgzerSyTXa28jNGs2YcBtUur169wp49e3D//n2uoxAd4uPjg06dOmHBggVoWGRlZVI9VS4kBwwYgAsXLgAAzp49C1tb22JF5LsqO6wVACIiImDg1hoinjKWSWNLeISUHM7Avp1LULTX0nF4dzgOL55DxBPgZXYSWJZFWFgYtm7diteHDmEIyyL/7fyEVwAcATQDIBQI0EImA8LDlQVkRobyCiGfD/a//wWSkpTDT0QitLGywuUnTwCpFBCJIBAI0KpVK4SHh1MhSQjH/v33Xxw+fJg+gBBCtIOjo7JQfNvr6OnlBZ9ly/DBBx/AqHCT9Oho5TBYntYtX8GJFStWYNq0aWjcuDHXUYgOsbOzw8SJE7F69WqaL1kLatQjmZycXKtP8LS0NDQUC8Cg7JUV/172EwBAwbLgMQxcpg2Dy9gBpS6eKs2XIjEjBc2aNUNqaiok2dmYBaDokjg5AJpAOcbXlGGQkJQE8w0boGBZNDY0RNTw4coFePLzlUNT3s5jMElPR9qbN8CZM8oXfQMDmLAs0m7fVq7oKhaXPARauUguITqloKAA06dPx7p162Bpacl1HEIIAQwNlb2NsbEAgObNmsHFxQUnjh/H+PHjlW1yc5W9lvb2nMXUFjExMTh06BCiomhfcFL7lixZgnbt2mHRokWwLTKHmVRdjSobKysrvH67rHVtsLCwAPJkYMGWWUwOWfEfNO3qiLi414iPjwdPIMDdu+GwsLCAhYUFjI1NVEVlVHQ0FHzg5dvVVV1RclKoMQAZgBYADFgWPc3MkDZ6NP5OSMC069eLNy5SCGZKpTA3MlKeKBRAbi4yMzNhXlCgWoSnBD6/9AKz8DAwUP7Jr52hvYToo2+//RYNGjSAp6cn11EIIUStdWtlofi2V3LChAnw9vaGm5sbjI2NlW2io5XDYPX8c0BQUBBmz54Na2trrqMQHdSoUSNMmzYNK1aswLZt27iOU6/VqJAcPHgw5syZgxs3bqBr164Vf0MFOnbsiKg3SZAqZBDzReW2bdKkMSwtLRATEwsew4DP5+PFi5coKJCqispWzo7IePYGYrEYeXl5kLxzHwYAugA4AqAAAF8mw7/Xr0NiZIQohQIFBQV4EhMDI0NDiMViGEgkMGRZMAyDh0lJcCkyl0Eml+Px69dwadGi7NByuXIeRHZ2+f8QQmHFxaaBAQ1/IeQdsbGxWLNmDcLCwmjPSEKIdhGLlb2NT58CAJo2bYoePXrg6NGjmDhxorJNfr6y11KPt7qIjo7G8ePH8ejRI66jEB321VdfwcnJCd7e3mhR3md3Uq4aFZKtW7fG7NmzMWHCBOzatQu9e/eGQqHA0aNHERsbi6+//rpY+9jYWLRo0QIxMTGwL2XohpubG8I2rECTcd0grsTFOLFYDGdnJ8THx+PNmzews2sGicQIKSmp+GPSOjT5uDO6tHPB999/j3Xr1iH++XPl0JG38gHYAjABsAHAZAADOnVCZm4u/nj+HCyAN4mJyM/NRU5ODp7l5yNVJoOJiQmOZ2djcl4edu3aBUtLS8Tl5aGxmRn4UilycnPVcx6qo6BAeWRmlt+usKgsWmC+e4hEKHXcLyE6hmVZzJ49G4sWLaL9xggh2qlVK+DZM+WFZQAeHh5YuHAhPvroI5iamirbPH4MNG+ut9NhAgICsGDBApibm3Mdhegwa2trzJkzB0FBQdi9ezfXceqtGr9Kbdq0CZs2bcKcOXMQExMDCwsL9O3bF35+fiXavnjxAs2bN0fTpk1Lva+RI0di3vzPkZeUAeNG4lJ7FP739Y9g+OqeuKZdHTFkxX9gamqGmJgYGBkZoWnjJpDnFqBV7w5wTLPBli1bkJ6eDisXFyRcv44mCgXkbxfsEQCYCOAigNUAll+6BGsDA3S1sMDRfv3Q/e0qrQAAW1sUCIX45/FjWJ8/j9GDBiEhLw8pKSk4GBaGlnw+goKCkJycDB6PB0tLS1haWsLKykr1d0srK1gV/t3SEiJR+T2v5crPVx7p6WW3YZiyi8yih1BY/RyEaIHQ0FA8f/4cixYt4joKIYSUzsBAuY7C2962hg0b4r333sNvv/2G//znP8o2Uqlyikzr1hwG5ca9e/fw999/Y/v27VxHIXrgiy++QOvWrREdHQ1HR0eu49RLTOEKqJXRtWtX9saNG9V+sODgYNjY2GDGjBllttm5cyd+uvA7mk97D8bCqvXqKRQKvHr1Cs9vRCLj5nPM+nYpfFyVW5FER0cjNDQUv/7yCzo/eQIHhQJ452e3srDAHC8v5eqspe3nZG8PiERwP3wYUzt1gtuoUYCREd6kpaH/0qW4/e23EItEYFkWOTk5SElJUR3JycnF/kxJSUFqairEYnHJIvOdYtPc3BwCTV+Z5PEqLjYNDPT2CinRbmlpaWjXrh1CQ0PRu3dvruOQKmAY5ibLsjWfG6HHavreTOpYQQFw9qzyTygXLpw7dy62bNmiXiBMKAQGD67Ti7yurq7YvXs3XF1d6+wx3+Xu7o5evXrhyy+/5CxDfSSXyyESiSB/29NNKm/lypW4d+8eDhw4wHUUrVLZ9+Y6LSQrKzE3DQvDtoMHBiJ+1V9EU9LT8Op1HDpFirExaC2MChfFeSsyMhLfLlqE5FOnYAhABEAIoK2DA+bNmAHk5CiX6c7IKH7HrVoVn5fYuXONCiuFQoHMzMxyi82UlBSkp6fD1NS0RI9msZ5OS0uYmpqCp+l5kwJBxfM3xWKav0nq1MyZM8EwDE2ar4eokKw5KiTroehooMiKpD/88AMUCgWmT5+ubuPoCDg51VkkrgvJW7duYcSIEXj8+HGJz22kfFRIVl9WVhYcHBxw9uxZtG/fnus4WqOy781a2b1kY2iO+e1GY33EYQCoUjEplRdAZGSA1UNmYffFb+Hq6oq9e/cW2+vS2dkZ20+eREpCAvzGjsWra9cgk8uR+OIFDC9fRt++feE4YgR4ycnK4SU5Ocrey+bNlVcQpVLlliBmZso5l6X1XlYCj8eDmZkZzMzMyp3oK5fLkZaWhuSUFKQUKTIjIyOLFZ25ubkwNzcvUWC+W3RKJJLqL0QikwFZWcqjPCJR2UVm0dto/iapoatXr+L48eO0ZyQhpP5o2VK56M7bXsmxY8di9uzZGD16NGxsbJRtnj4FWrRQvp/qAT8/PyxdupSKSFKnjI2N4e3tjeXLl+O3337jOk69o5U9koWuJ0bhu/tHIFPIIRGUPmeyEMuyyJblQcDjY3670ehmo7yKd/jwYcydOxczZsyAj48PhKUME7l89Cg2TZuG4f36QSwW4/KVK8jJzkafPn3wXu/ecDQ0BJOZCXTsqP4mIyPlsBNA+UaQl1f8yM8veVsV/q2rQyqVIjU1tUSPZtEez+SUFCjk8lJ7NIveZmVlBQMDA43mVc3fNDBQ7rFV3oJBhJRCKpWic+fO8PPzU+/FRuoV6pGsOeqRrKcePwYePlSd/vzzz8jKysKcOXPUbRwcgLZt6yQOlz2S165dwyeffILo6GjNf/bQQdQjWTM5OTlo3bo1jh07hi5dunAdRyvU66GtRSXmpmFH5EncS40FC0DI40PEE4ABAxYspAoZChRyMADaW9hjZpsRsBabFbuP169fY+rUqUhMTMTevXvh7Oxc4nEUBQXAo0fgPX0KsCyePX+OK5cv4/Lly8jLy0P/nj3Rs39/ODo6KgtaS0ugT5/K/yAsq+zJzM9X9mKWVmgWFqAalpObi9R3htOmpKSU6PEUCoWl9mgW/buFhUWpxXmt4vEqt2AQzd/UOytXrsSVK1dw4sQJ2u6jnqJCsuaokKyn5HLlXMm37/uZmZmYOXMm1q1bh8aNGyvb8PnKi9Z1UFxxWUgOGTIEHh4e+Oyzz+r8sXUBFZI1t2XLFpw6dQonT57kOopW0JlCstDL7EScjwtHRGoMXmYnoUAhg5AngK3EGh0sWmBgExfYSmzK/H6WZbFz5074+PjA19cXc+fOLX0+YUYGEB4OpKWpbnr2/DkuX7qEy5cvQyqVok+fPug6YQI6jBtX+x9eFQplwVlakVn0eDscRlNYlkVWVlaJIvPdYjMtLQ0SiaTUHs2iPZ1mZmbga3qDZT6/4sWCxGK93+hZVzx+/Bg9e/bEjRs3St1OiNQPVEjWHBWS9VhMDHDvnur04MGDiI+Px8KFC9VtWrQA6mDuFleF5IULFzB16lRERkZq/sK0jqJCsuby8/Ph6OiIX3/9Fb169eI6Dud0rpCsLY8fP8bkyZNhZGSEn376CXZ2diUbsaxyQ+DISOWcQNXNLJ49e4ZL165hw40bSJVKMX78eIwbNw5du3at2x4RubzsXs2ih4ZfVORyOTIyMkr0aL47vDYrKwtmZmYlVqR9t+A0MTHR/L+jUFhxsWlgQAsGaTGWZfH+++9j2LBhtLpfPUeFZM3pwnuz3lIolL2SeXkAgOzsbMyYMQOrVq1Sfz7h8YBBg5RTQDSIi0KSZVn069cP06dPx6RJk+rscXUNFZK144cffsCvv/6Kv//+m+sonKvXi+1oUqtWrXDx4kWsXbsWXbp0wcaNG+Hp6Vm8eGEY5RXARo2A+/eB16/f3szAvk0b2Ht6YqKlJSIiIhAaGgovLy8UFBSoisouXbpovhji85XzNCualC6TlT589t3htdVcMIjP58PCwgIWFhblbgJfUFCgXDDonQLz3r17xW7Lz8+vcP6mpZUVjGryhlpQoDwyM8tvV3Q4bWlDa42NqXeTI/v370diYiIWLFjAdRRCCKk+Hk+5OuvduwAAiUSCUaNG4cDBg1js7a1so1Ao950suk6Djvjrr7+QlJQET09PrqMQgk8//RSrV6/G+fPnMXDgQK7j1At61yNZ1O3btzFx4kS0a9cO27Ztg5WVVekN8/KUQ10FAuXcyHd6qliWxd27dxESEoKQkBDI5XKMHz8e48ePh6ura/2Yu/XucNrSejvz8zW+YFB+fn6J7VBK2x6Fx+OV3qtZZC9OSwsLiDS5UE/v3kCR3xmFQoGJEyfi7t27GDlyJFatWqW5x9ZjycnJaNeuHY4dO1ZsNWZSP1GPZM3p2nuz3lEogPPnlSvEA8jLy8P06dMREBCgXtGdYZS9khpc0bSueyRZlkX37t3h7e2NcePG1clj6irqkaw9+/btw/bt23Hp0qX68fldQ6hHshJcXV1x8+ZNLFu2DC4uLti1axeGDx9esqFYrOydLAPDMHBxcYGLiwuCg4MRHh6OkJAQjB8/HizLqorKTp06ae8vpUikPExNy27DsspisqIFg6TSascwMDBA48aN1QsNlBqDRU5OTokiMyEhAQ8ePFDdlpqaCrFYXGqRWXR4rYWFRfXmb4rFJXJNnjwZYWFhOH/+PADli3ux+05OVg6bLmtoLfVwVsjb2xvjx4+nIpIQohsKeyXv3AEAiMViuLu748CBA1i2bJmyDcsq957s1InDoLXr2LFjkEqlcHd35zoKISoTJkzAypUrcebMGXzwwQdcx9F6el1IAsoX7PXr12PkyJGYMmUKhg8fjm+++QbGxsbVuj+GYdCpUyd06tQJK1aswJ07dxASEoKxY8eCx+Nh3LhxGD9+PFxcXLS3qCwLw6gLHjOzstspFBXP38zPr/aCQQzDQCKRQCKRlD7HVRVDgczMzBI9mrExMbh186bq9vT0dJiamhYvNksZXmtqalp8gaZ3ejv5fD4++OADvH79Gk2bNi09VFoaEBdX9g8nEFQ8f1Ms1tv5m//88w/++usv2jOSEKJbbG2Vw1ezswEAw4cPx5EjRxD96BEcW7dWtnn5EmjVSjmtop5TKBTw8/NDUFBQ6QsfEsIRPp+PgIAA+Pr6YtiwYfXvs3od0/tCstCAAQMQHh6O+fPnw9XVFb/88kuNV21iGAaurq5wdXXFypUrcevWLYSGhmLMmDEQCASqorJjx4669YvK4ykXBahoHqNMVn7BWdjzWc35mzweD2ZmZjAzM1MPDyqFXC5Xzt98Z0Xahw8fFuv1zM3Nhbm5OaysrGBtYwPvDz9Eaf9rMTExaFRaD7Zcrvx5yiOTAVlZyqM8IlHZRWbR23To9yo/Px8zZszApk2bYFpezzkhhNQ3DAM4OQG3bgEARCIRPDw8sH/fPgQEBCjbsCwQFQXowD53hw8fhoGBAUaOHMl1FEJKcHd3x4oVK3Ds2DF8/PHHXMfRalRIFmFmZoY9e/bgyJEjGD16NKZNmwY/P79amWfHMAy6dOmCLl26YNWqVbh58yZCQ0MxatQoiEQi1UI9HTp00K2isjwCgfKQSMpvV1BQepH57m3VnL/J5/NhZWWlnCNbeOW3FFKpFKmpqUhOTkaWXA55QQEEpeztlZCQACcnpxK3ywoKEPfoEQRv3sDKyqpmmy5LpcojI6PsNgxT8YJBYnGJnlVttXr1ajg7O2P06NFcRyGEkNrXpImyV/LtQnBDhgzBb7/9hgcPHqBt27bKNnFxyvepenwxTSaTwc/PD5s2bdKfzzukXuHxeAgKCsKyZcswcuRI6jUvBxWSpRg9ejR69eqFzz77DD179sTevXvRrl2jMdotAAAgAElEQVS7Wrt/hmHQtWtXdO3aFatXr8aNGzcQEhKCjz76CGKxWFVUtm/fnl5kAeV2HUIhYGJSdhuWVRZWFc3ffLvxc3WIRCI0bNgQDRs2BMzNyxxe+ubNG/Tv3x8Aiv3/yWQynPztN9z8+2+kJCdDJBKVumBQ0b04zc3Nq7+vFsuqf+7y8HhlF5lFDwF3LxdRUVH4/vvvcfv2bc4yEEKIRjEM4OwMXL8OABAKhfjkk0+wd+9erFy5Uv1+EhUFdOvGYdCaOXDgAGxsbDB06FCuoxBSphEjRiA4OBihoaHw8PDgOo7WokKyDI0aNcKxY8fw448/YsCAAViyZAkWLFhQ61clGIZBt27d0K1bN6xduxbXr19HSEgIRowYASMjI9VCPbVZyOqkwt43A4Pyr9QqFCVXqC3tqGj+5jsL7RSVn5+Pnj17AkCx3xexWIxZ//kP4OEBlmWRlZWlnr/5dljty1evcPfuXdXtaWlpkEgkpRaZRedvmpmZVW/BoMJ/k9zciofd8vnlF5qFxWgtLxjEsixmzpwJX1/fcufEEkJIvdeokXINgvR0AMDAgQMRGhqKu3fvwsXFRdkmPl45397cnMOg1VNQUICAgADs3r2bLpQTrcYwDIKDgzFv3jy4u7tDwOHFdG1G/yrlYBgG06ZNw6BBgzB58mQcP34ce/bsQfPmzTX2eN27d0f37t3xzTff4N9//0VISAiGDx8OExMT1ZxK1RAXUnU8nrrwKY9cXv78TVPTEj2Sq1evxk8//YRHjx5h4sSJWLJkCT744AN1jyKPp+odZBgGJiYmMDExKff3SS6XIyMjo1ixmZKSgkePHhWbv5mVlQUzM7MSK9K+W3CamJhU/81bLlcuBPF2MYgyCYUVF5sGBpVeMGjPnj3IzMzE3Llzq5ebEELqE2dnICwMgHLqhaenJ/bt21d8PYWoKKBHDw5DVs+ePXvQsmVL1agdQrTZkCFD0KBBAxw4cACTJ0/mOo5W0ut9JKtCLpdj3bp1WL9+Pb755htMnjy5zq6mKRQKhIWFITQ0FKGhoTAzM1MVlW3atKmTDKRiMpkMcXFxiI+Px+PHj9GiRQv07NlT/XsikwGnT2vksQsKCpQLBpWx92bhkZ+fX6LYLG0vTqOKFkqqDaXN3zQ0LHZ7Yno62nfogNOnT6Nz586az0TqHO0jWXP6/N6ss65cAVJSACg/A8z7/HNM+fRTdCs6pLVPH+Xe1rVE0/tI5uXlwdHRESEhIapRO6R20D6SmnPx4kVMmTIFUVFR1Z9qVA9V9r2ZCskqCg8Px6RJk9CqVSvs2LEDNjY2dfr4CoUC//d//6cqKi0sLFRzKp2dnes0C6kihQJISip7saD8/GovGFRZ+fn5pRaYRW9LTk4Gj8cr0Zv57l6clhYWtbIQVXk2bNwIiaUlZixYUP48Tj16cdc1VEjWHL0366CkJODaNdXp1atXERISgo0bN6ovTlpbAzVcXb4oTReS33//Pc6cOYMTJ05o5P71GRWSmvX+++9j7NixmD59OtdR6kxl35tpaGsVubi44Pr16/D19YWLiwt27tyJESNG1Nnj83g89O7dG71798b69etx7do1hISEYPDgwbCyslIVlaWtGko4xuMBDRqU/XWWVRaTFS0YJJVWO4KBgQEaN26Mxo0blxODRU5OTomCMyEhAQ8ePFDdnpqaCkNDw1J7NIvuxWlubl6t+Zt37tzBvYgIbNmyBUhNLb9x0SHL5R21PH+TEEI0wtpaeSQlAQB69eqFkJAQXLt2Db1791a2SUpSHtbWHAatnJycHKxatYqKSFIvBQUFYdy4cZg8eTLEFU2N0jNUSFaDgYEB1q5di5EjR+LTTz/FH3/8gQ0bNsCkvFVFNYDH46FPnz7o06cPNm7cqLpiOXDgQNjY2KiKSkdHxzrNRaqJYdQFj5lZ2e0UivLnbxb2bla0YFCZMRhIJBJIJJJyF7dRKBTIzMws0aMZGxODWzdvqm5PT0+HqalpsSKztN5OU1NT1eJE+fn52LZtG2bOmgXDygyzVSiAnBzlUR6BoOL5m2JxpedvEkKIxjg5qQpJhmEwceJE/LRnD3r06KG+OBcZCfTty2HIytm6dSt69+5NUxRIvdSjRw+4uLhg165dmDdvHtdxtAoNba2hzMxMLFy4EOfPn8fPP/+Mvlrwgq5QKHDlyhWEhITg8OHDaNiwoaqobF3OPolEx8hk5RechT2fCoVGY8jlcuX8zSKLBZU2tDY3Nxfm5uawsrJCVlYW5HI53n///RIFp0Qi0fz8ZJGo4mLTwEBZ/Gu5l9mJOB8XjojUGLzMToJUIYOIJ4CtxBodLFpgYBMX2Erqdoh+UTS0tebovVmHhYUBb94AUI4W8fb2xogRI4ovVtOjR/mjXSpJU0NbMzMz0apVK5w7d45WoNcQGtqqebdv38aHH36Ix48fw8jIiOs4GkdzJOvYsWPHcO7cOaxZs6bUjeblcjlOnDiBuLg4zJo1q85yyeXyYkVlkyZNMG7cOIwbNw6tWrWqsxxEixUUlF1kFi1ENTx/UyqVIiU1FQ8fPMC27dsxZvRo5OXlFSs6k1NSoJDLS+3RfHcvztKeh7WqcMuZ0orMooeG55GWJTE3DdsjT+J+aixYAEIeHyKeAAwYsGAhVchQoJCDAdDewh4znD+EjWHdbydAhWTN0XuzDktPBy5eVJ2Gh4dj69at2Lp1q7pX0swM6Nevxg+lqUIyODgYkZGR2LdvX63eL1GjQrJujBs3Dt27d8dXX33FdRSNo0KSAwqFosx9JjMzM3Hp0iVs3LgRALB//340qIUriFUhl8tx6dIlhIaG4rfffkPTpk1VRaWDg0OdZiH1DMsW33+zrJ7O/PwaPYxCocCSJUvQr39/fOjmVmqbnNxcVc9mscWC3vZ4Fv4pEonKLTgL529qfBU2Hk9ZZL6zIm2Joxb3qLqeGIXv7h+BTCGHRCAutweXZVlky/Ig4PExv91odLOp2/nVVEjWHL0367jr15V7R0L5fF22bBkGDRqEIUOGqNt066bcg7IGNFFIpqamwtHREVevXqURURpEhWTdePDgAQYOHIjHjx/X+XS2ukaFpBZbunQpbGxssHDhQs4yyOVyXLx4ESEhIfj9999hZ2enGv7aokULznKRek6hKF5wlnWUMX/zzz//xNmzZ7FmzZoyL8pUBsuyyMrKKjGM9t3htWlpaTA2Ni61R7Po301NTau1YFCV8PkVLxZkYFDhgkHXE6OwPuIwRDwBRPzKF8lSeQGkChkWdRhbp8UkFZI1R+/NOi4jA/jnH9XpgwcPsH79emzfvl19IczEBOjfv0bD7TVRSPr6+iIuLg4//vhjrd0nKYkKybozadIkODk5wcfHh+soGkWrtmoRmUwGgUDw/+3dd3hUVfrA8e+dlknvQBoJgQChV5GihCqgVCGKWRBQAUUpi7uCIqiLXRQLLuCiqD8WiAIq0jaUIChiBUJAakI6SYD0Mu3+/hgSMqTXScj5PE8eyNw7957JIdz73nPO+2I0GlEqlVy9epXqBPD1QalUMmTIEIYMGcKHH35YHFT269cPf3//4qAyICDAqu0UmpiS2VMrYjSWGtVMi4/n7f/+l/UffIDC0dH8eg0vipIk4ejoiKOjI/7+/hU0w0hWVpbliOa1a1y4cMFitDMnJwdnZ2eL8idl1eJ0cHCo+fpNoxFyc81fFVGryw000yjk/TPb0UjVCyKB4v3fj97B6rufxENbQcKnmyRJ4sKFC2KavCDUJycn8PGBxEQAOnXqhJ+fHxEREYwpmrmRnQ1JSeb9Gom0tDQ+/vhjfv/9d2s3RRDqzIoVK7j77ruZN28erq6u1m6O1YlAsgGobk5Zi4mJ4bvvviM9Pb1B10lWRqVSMXToUIYOHcpHH33E4cOHCQ8Pp2/fvrRp06Y4qKzohlwQqkWpBDs789dN8194gb5z5tB22rRb+xkMFScLKvp7DRMGKZVKXF1dcXV1rXB6t16vNycMKjm6ee0aUVFRFgFnYWFhqSCz1PRad3fsSmSiDXj8ca5mZKBUKHDQahnVqxcfzZmDQ3nZavV681d2dqlNazmDgWzkq7l8+cQHzPxuOQq1CiQF5/f/yZF3ttH3idF0+9uw4pGLzQ++QsiyR/Dq2Q6NUk2OPp+1Z79nWc+wGv1MBUGoB+3bmwPFmw+hHwkL47VXX2XYsGG31oOfOwfe3o0mCdhbb73Fww8/LB5IC3eUdu3aMWHCBFatWsXKlSut3RyrE4FkPcrJyeHbb7/l3LlznDhxgqSkJHr27Mny5cvp3bu3tZtXJpVKxbBhwxg2bBhr1qwhMjKS8PBw+vTpQ2BgYHFQ2bp1a2s3VbiD7N27l19++aX09CeVChwczF8VuX06bVnJggoLa5wwSK1W4+npiadnxdlNCwoKSq/dvHaNS5cuWXyvUCqLg82szEzm9e3LvcHByBoN/9y+nRc+/5y3Z81CU41EPfHkEU0m9qjIKXrRaAIM5r/r9dg42nJqSyQdh3dD4+IEtqVHju1VWk7fiCUhN82q2VwFQSjBwQF8fSE+HoD2QUEEBQWxd+9exo8fb94nNxcSEqCCsk0NJTk5mQ0bNhAVFWXtpghCnXvxxRfp1asXCxYsqPS+4E4nAsl6YjKZeOutt1i5ciVLliwpXsvQlP7BqVQqhg8fzvDhw1mzZg2HDh3iq6++olevXgQFBTFlyhQmT55c5aAyOzu7dlP/hDtSbm4uTz75JGvXrq15Sm2Nxvzl5FT+PrJcOrAsa6RTp6tZGwCtVou3tzfe3t4VNEMmLy+veHRzw9tvY2drS0pKCteuXcO5sJDtERHE7duHUqvlNBBfWIiNSsXQtm15dNAgPN3dcXF15YuffmLT0aPk63S079Uez9mDcLB3ZNfSjQB8OfVNAEa98jcAXHw90DhoOf3Nz/SaOrhU24w6A7+u/Z5Lh06wT/kuj06dZpGJ+u233+bdd99FkqRST2ILCwt54YUXCA8Pp7CwkIkTJ/Lee+9VrQ6oIAiVa9/eHCgWjUo+8gjLV6xg5MiRt37Pzp83T2+1ci3c119/nRkzZuDTiKbaCkJd8ff3Z+rUqbz11lu8/fbb1m6OVYmq2/VEoVDwyiuv8Oabb/LDDz/w559/WgSRBQUFZJcxNa2xUqvVjBw5kk8++YTk5GReeukloqOj6dWrFwMGDOC9994j/uaT0rKYTCa+/vprunXrxpQpU4iMjGy4xguN2iuvvEL//v2577776vdEkmReS+jiYs5u6O9vLvjdvbu5DtvgwXDffXD//TB8uLnId58+0KULtGtnHg3w8DCPDNQiw6okSdjb29O6dWt69OiB1taWe++9l9mzZzPtiSfId3Ji0qhRbNu2DVWPHvi1acPuxYtZHRrKj3FxbDl6lIiICJ55800++vZb2qenMwy4mJrM8Q92kpqWysDnJgAwacPTPPx/f8cj6FZg2ztsCNHfHacwOx90lll2T3y5n9QzV7j/k/mEffECv/zyS3HAuHfvXt555x0iIiK4cOEC+/fvt3jvkiVLOH/+PCdOnODixYskJibyyiuv1PjnJAjCbezsoMSD2zZt2tC1Sxd27dp1a5+8vOJRS2uJi4tj06ZNLFmyxKrtEIT69Pzzz7NhwwaSk5Ot3RSrEoFkPfvHP/7Bm2++ybvvvsuhQ4cA84jEf//7X7p168bhEpnYmgq1Ws19991X/Au0fPlyoqKi6NGjBwMHDiQrK6vUewwGAyNHjmTnzp1MmDCBd999l8uXL1uh9UJjcvLkST777LPisjiNgkJhLtXh6gpeXtCmDQQHQ8+e0L8/DBkCo0ebv4YOhQEDoFcv6NQJAgPNa5Tc3Mw3fVUcFZjw2ms4PvQQfrNm0cLZmZenTkWWZbYfP877c+cyeOBApk+ezEvTppEoSbz44ouYvL15Y/Zs9m7fzkerV9N9zn2k/HIZtVKNjHnEIjMjk6tXr3Il7gqpqakUFBaAswqfHoGc3PYjyECJ2b6XIv6g56MjcXJ34bqmkBUrVvDll18CEB4ezsyZM+nSpQv29va89NJLxe+TZZn169fz3nvv4ebmhqOjI88//zxbtmypq14RBAHMo5Il/l955JFH2LFjB7klk3SdP1/jdeN1YeXKlcyZM6fBS5wJQkPy9vZm5syZvPbaa9ZuilWJqa0NYODAgRw4cIC8vDzAPCIxa9YsWrZsySOPPMLUqVNZuXIl2soyXTZCarWaUaNGMWrUKHQ6HcePHy+zELxGoyme4hIQEMA777xDYmIigYGBDd1koZEwGo3MmTOHV199lZYtW1q7OdWnUpm/7O0r3k+vrzhhkCTxzQsvMLx7dw6fPs0j77xDelYWhXo9eoMB/xI3Y/6eniReuwZA0vXr+Ht6olQqcXd3x87RFdloQiMrcXUxZ5Lz9vZGoTTfdBouZXJdk4Cziwu9wkL4bvF/6Dr+boum5qVn4tDKFQkJvcmAv78/SUlJ5vMlJVms7S6ZfCstLY28vDyL7bIsi1T0glDXtFoICICbD2J9fX3p06cP3333HVOnTjXvU1AAsbHmB1sN7NKlS2zfvp3z5883+LkFoaE999xzBAcH849//KPZ5g4RI5IN6Pb1X/fffz8nT54kNjaWvn37cuLECSu1rG5oNBruueeeMgNJg8FQ/PcjR47g5+cnnlY2c0Xrhh977DFrN6V+qdXmGm+enuYkGEFB0LWruYD4oEHmG8N+/WDkSAY/9RQzpk3j2e3b8ejbF7VKxRWjEZydwcaGuLQ0fNzdAfB2c+NKWlrxafRp2UhKBbYuDlDWMmRJQiFJqJQqXHw9COgfzIltP1rsa+fhTE7KDWRk1AoVcXFxxes9vby8LKavx8XFFf/dw8MDW1tboqOjycjIICMjg8zMTHJychAEoY61a2dRT/bhhx/m+++/t5wNdPFi6fJJDTBK+corr/DMM8/g5uZW7+cSBGtr0aIFc+fObdbZW0UgaWUeHh589dVX/POf/2TkyJG8/vrrd9xTfKPRWFwC5Y033uD1118nJCSEDh0arui50LgkJiby0ksvsW7dOhRWTgrRKEgS2NiAszMLX3iBiKNHOa3TEfrQQ7ywdSvZPXtypUMH3j1wgL89+SQMGsTU6dN5b+9eYmxtyXF358Kmn/C/pxMKlRJbZ3skhUR2yo1yT9nzkcFciDiBLie/+LXAYT058UUEWdczcNPb8Morr/C3v5kT9YSGhrJx40bOnDlDXl4eL7/8cvH7FAoFTzzxBIsWLSI1NRUw9/G+ffvq6QcmCM2YjY15yv1NXl5eDBgwgB07dtzap7AQYmLMf545AwcOwK5dsH+/+fV6qGV99uxZ9uzZw8KFC+v82ILQWD377LNs376dixcvWrspViHu4BoBSZKYNm0av/32GxEREdx7771cunTJ2s2qM0qlkuPHjzNixAhOnz7Nq6++yqJFi4q36/V6UlJSrNhCoaEtWLCAuXPn0qlTJ2s3pdHx9PRk+vTpvPLKK3z44YfY29sTGBjIoEGDeOSRR5g1dy64ujJr0SKmzZzJvTNn0mb8eDzcWtBj4XhwdkLVwoPufxvG90s28uXUt0iNSQWV2hywajRgq8UxqDVt7+uNIf9Wltoe04fj0dGPXY+9z//97VV69erFsmXLABg9ejQLFy5k6NChtGvXjqFDh1q0+80336Rdu3bcfffdODk5MXz4cM6dO9egPztBaDbatrVI+hUaGsq+ffu4kZFhfsFggEOHYN8+uHTJnIQHzGWRTp82B5d17KWXXmLx4sU4OzvX+bEFobFydXVl/vz5zTa5nCRX46lUnz595N9++60emyOYTCY++OADXn31VV599VWeeOKJJl0uw2AwsGjRIr799ltef/11wsIsi5ybTCZ++uknxo4dS48ePQgNDWXSpElNc82cUCU7d+5k8eLFnDp1qkmuC26s4nPS+Mcv67FXaWv1f4Ysy+QaCnin3+wGqSMpSdLvsiz3qfcT3cHEtbmZOnfOnFjnpvXr16MEHrv/fkhJMU9t9fExf5VlyBCLGr09e/bk008/pWfPntVuysmTJxk1ahQXL17EvrJ140KdMxqNaDSaO25GW1ORlZVFu3btiIyMvGMekFf12ixGJBsZhULBwoULOXz4MOvWrWPs2LFNerROkiS6du1KUFAQ//73v5kzZ45FgWKFQsGgQYNITk5m4cKFHD16lA4dOjB06FDWrl1bPE1OuDPk5OTw9NNPs3btWhFE1jE/B086uwaQayio1XFyDQV0cQ1okCBSEIRaCAw0r8EGMBoJvece0iIiyPrrr1vrI1NSzKOTUHo66/XrddaUFStW8Nxzz4kgUmiWnJycePbZZy2ymTcXIpBspDp16sSxY8fo2bMnPXr0YNu2bdZuUo0olUpmz57NgQMHCA8Pp2PHjly6dInbR8K1Wi3jx49n06ZNJCcnM3/+fH744Qfat2/PsGHDWLduHWklEosITdPy5csJCQkpNS1SqBtzO96PSqFEZ9TX6P06ox6VQsnc4AfquGWCINQ5tdq8VjIlBU6dwiU7mz49e3L0yJFb+xiN5rqSV66Y9yupoHYPnYr8+uuv/Pbbb8ydO7dOjicITdG8efM4evQoJ0+etHZTGpQIJBsxjUbDv/71L7755huWLl3K9OnTyczMrPR9GzZs4M8//2yAFlaPt7c3ixYtYsKECRVOvbO1tWXChAn897//JTk5mXnz5hEZGUlQUBDDhw9n/fr1Iqhsgn7//Xc2bdrEqlWrrN2UO5anrQsLOk9EZzJUO5jUGfXoTAYWdJ6Ih1ascRKERk2WzcFhTAwkJZnLDAEDBgzgzJkz5rWSBgOkpcHPP0NiYuksrnWUcOfFF19k2bJlYpaJ0KzZ29vz3HPPsXz5cms3pUGJQLIJuPvuu/nzzz9xdHSkW7duHDx4sNx9jx8/zty5cwkLC8NkxYLEdcXW1pZJkyaxefNmkpKSePLJJzl48CDt2rVjxIgRfPLJJ6Snp1u7mUIlDAYDs2fP5q233sLDw8Pazbmj9fXswOKukzEhk6PPLzX6fztZNu9nQmZx18n09RTZlAWhUdPrzcHhqVPmv98s0QPmMmN9evXiz4gIcy3JGzfMAeSNMjI410EgefToUc6dO8esWbNqfSxBaOrmzJnDH3/8wS+//GLtpjQYEUg2Efb29qxZs4Z169Yxffp0Fi1aRH5+vsU+ubm5TJo0CYPBQFxcHOHh4VZqbf2ws7PjwQcfZMuWLSQnJzNnzhwiIiJo27Yt9913H//5z3+4drNYu9C4fPTRRzg7OzN9+nRrN6VZ6OvZgff6zaXLzTWT2fp8Cow6TLIJWZYxySYKjDqy9fnFayJX3/2kCCIFoSk4cwZKPkD19DRPczWZ4Pp1+nt5kRETQ1bJGUwZGcWjlnVFlmWWLVvG8uXL0Wg0dXpsQWiKtFoty5Yt48UXX7R2UxqMCCSbmFGjRnHy5EmSkpLo3bs3f/zxR/G2+fPnc/3m4vnc3FwWLFhAYWGhtZpar+zs7Jg8eTLh4eEkJSXx+OOPs2/fPgIDAxk1ahSffvpp8c9CsK64uDhWrlzJ2rVrm3QG4qbG09aFZT3DeKffbB7w64e3nTsFRj1Z+jwKjHq87dx5wK8f7/SbzbKeYWI6qyA0BUVrHm+nVpunuaanY6NU0qF9e05HR9/aLstw9arle2o5Innw4EGSkpKYNm1arY4jCHeSmTNncuHCBY6UXKt8B1NVvovQ2Li7u7N161Y2b97MqFGjmD9/Pj179mTz5s0UlFg8n5OTw4cffsizzz5rxdbWP3t7e6ZMmcKUKVPIyclh9+7dhIeHs2jRIgYMGEBoaCgTJkzA1dXV2k1tdmRZ5umnn2bBggW0b9/e2s1plnztPZkWNNzazRAEoS4UFloGgCaTuQxITo65TuxN7du3Z/uuXWRkZeHi5GR+8fp18/ttbMzf1yKQLBqNfPnll1GpxK2kIBTRaDSsWLGCZcuWERkZecc/QBd1JJu4hIQEpk2bxpEjR8qsH+Tg4EBcXFyzDKJycnLYtWsX4eHh7N+/n4EDBxIaGsr48eOb5c/DGrZv384LL7zAiRMnsCm6eRGEEkQdydoT1+ZmxGSC//3PcpqqwWBeDxkTYzHqePrCBW6kpnLPwIHmF1xdoVMnYiWJiIgICAzEb9So4v3nzZvHokWLaNeuncUpNRoNgwcPRqlUFr+2a9culixZwsmTJ1EoxOS2hnT8+HFu3Lbm1Wg0MnbsWHbv3l1qf3d3d/r27dtQzRMw54Xo3Lkza9asYfhwywe58fHxfPLJJyxZsgQ7OzsrtbByVb02i0DyDjB27Fj27NlTZiCp1WqZPXs277//vhVa1nhkZ2fz/fff89VXX3HgwAEGDRpUHFS6uLhYu3l3pMzMTDp37szmzZu55557rN0coZESgWTtiWtzM3PmDFy6VPr1q1fhhx/Mo46AwWhk1/ffc8+99+Lm6orRyYnTqam8sWsXOUYjCSoVMSXqPmZnZ2NnZ2cRMBqNRvLz80lJSSlOlCbLMr1792bZsmVMmjSpfj+rUEqrVq3IysoqtS41MzMTZ2fLJQo6nQ53d3fiy5oOLdSrLVu2sHr1ao4dO4YkSSQnJ7NixQq+/PJL9Ho9UVFRBAcHW7uZ5arqtVk8RmriNm3axMGDB8sMIgEKCgr45JNPuHLlSgO3rHFxdHRk6tSpbN++nYSEBMLCwtixYwf+/v6MHTuWL774okqlVYSqW7ZsGaNHjxZBpCAIQl0KDgYfn9Kvt2wJ/fvDzQBDpVQS3KkTUVFRXImPZ/Pmzezds4eWN+8XDAYDmZmZxV8mk4mcnByL1woKCnjooYcssm3v2LEDgIkTJ9b/ZxVKee6555AkyaKfiu5fbn9NoVCwdOlSK7e4eQoNDSU3N5fNmzczf/582rZty+eff05BQQF2dnbl3rc3NWJEsglLSEggONQuylIAACAASURBVDiYnJycCvdTKpWMHz+ebdu2lT5GbhqHkk4SdSOGhNx0dCYDGoUKX3sPurq2YYh3d3ztPevrI1hdVlYWO3fuJDw8nMjISAYPHkxoaCjjxo3DqWhdiVBtx48fZ8KECURHR+Pm5mbt5giNmBiRrD1xbW6mYmMhOto83bWILJvLgsTFIWdkkJCQYB4RUSi4bjJRNPH1NPAXEFXJKbRaLdHR0QQGBgLmEcru3bvz1ltvMWbMmLr/TEKl8vPz8fb2JiMjo9J93d3dSUxMFEtLrCAjI4NZs2bxzTffoNFoLJJfOjk58cMPP9C9e3crtrBiVb02ixXSTZTJZOKhhx6ySK5THqPRyJ49e/jjjz/o1asXAGn5Gaz9axfRN2KRAbVCiVapxlapQUYmKe8aV3JS2RV/nC6uAczpeD+etnfeFFAnJyfCwsIICwsjMzOzOKh86qmnGDJkCKGhoYwdO1YEldWg1+uZPXs2q1atEkGkIAhCfQkIADc3+P13c7IdAElC9vXl8tmzHD1wANvMTExgGWwCPsBFrRr7Vs7Y+rnhENgClaMNkkqFbDBgyC4k/8o17unUFx9/3+L3bd26FScnJ0aPHt1Qn1K4ja2tLS+sWMYb61cjediV2Xc5l1MhPZ8Xn/mnCCIbWHZ2NqtWreKdd97BaDQiy3KpCgqSWklcQTppiX9yITOBLH0eepMRtUKJk9qOIGdfAhxb4GfviY2ycZfWESOSTdT27dt58MEHsbGxqXKJj7vuuouff/6Z39LP8370DgwmI/YqbYUZpWRZJtdQgEqhZEHnic2mzlxmZibfffcd4eHhHD58mKFDhxYHlY6OjtZuXqP29ttvs3//fvbu3XvHZysTak+MSNaeuDY3c0YjnD4NcXGcPn2a/3zyCc4JCSj1etRAK8AWyASSFRI3uvqROLILqR28yNUZkJTmVU6yyQQyIIGkUCBJEgH+/ihUSjo6+zHGty/TBk9g7cf/ZujQodb7vM2UwWTkxLVL7Iz7mTM3rnDlcgxFjwdu7zsAhSQREBhAsIs/Y/3vpodbW1QKZbnHF2onPz+f999/n9deew2DwVCq1jsKCeeufrQa2QWnDl74evugttHc3CQhISEjY7oZl6kkBQbZREdnP6v0n0i2c4fLy8vj8OHDXLhwgdOnT3P69GkuX75Meno6Wq0WlUpFYWGhxYilUqnk7a/Xc9wpGY1ChUaprvL5dEY9OpOBxV0nN5tgskhGRkZxUHnkyJHioPKBBx4QQeVtYmJi6Nu3L8ePH6dt27bWbo7QBIhAsvbEtVkA0MXEMLVzZ/T5+TgDQSW2uaoUxA7rxNlR3TDY3rx5lRWkFuow3TZaCeZKIm6ubrQJbIMsy+QZCsnMyiI7PYN/jHiU0X59USvEpLaGoDcZ2BP/K99e+Yk8g3ngwE5lQ2pqKomJSWX2n1KhwNfXFw9Pj1vvUWsZ37q/6Lt68uWXXzJ9+vRSr0sqBS2GdcJrVDeUthpkgEIj7dsHYV8i2VVZin73oOH7TwSSTcTSpUtp2bIlCxcurJPj6fV6rly5wsWLF4uDzOjoaC5cuMC1nAw87m7HyBenVyuILKIz6jEhs/ruJ+ulePmHH35IQkICb775ZvFrd911F5999hmdO3eu8/PVxI0bN/j2228JDw/nxx9/ZNiwYcVBpYODg7WbZ1WyLDNmzBgGDx7MkiVLrN0coYkQgWTtiWuzUORyVBQrxo4lPzmZtjod9kCOnxvnngghv5UzikIDCr05yYdkb0emJJGTk1vqOAqFROfOnYunRcqyzOnTp/ELaI1Sq8Hbzp0FnScS4NiyIT9esxOTncIH0d+QlHcNG4UajfJWAGEymTh18hSGMpK2qFRKunfrjqS4NStIZzRQaNKLvqsnsizz2Wef8cwzz5Cfn48sy9j6uRH4RAjaVs4YCw3IN3/3lEolQUHtqnXf2ND9J7K2NgFpaWl88cUXzJkzB4DIyEhCQkKKt8uyzAcffECXLl2wt7fH19eXKVOmEBVlXh4/Y8YMNm7caHFMtVpNu3btGDVqFM888wzr1q3j6NGjxMfHY+/oQJ8nxqBRqslOvs7W0JXF79saupKNw5/j8/uWFn/lpmda7KdRqjGYjKw9+32Zn6es9n/00Ud069YNOzs7WrVqRUhICFu2bCneJyQkhMjISACeeOIJNm3aRGpqavH2Z599luXLl1f7Z1tfXF1dmTFjBrt37yYmJoaxY8fy+eef4+Pjw+TJk9m6dWulyY/uVOHh4SQkJLB48WJrN0UQBKFZCuzalQ1//UWvKVNI1aiJu787J5aNI7+FI8qcwuIgEsAgSfj6+paqAylJ4OriarG2rmi2k4ujMw4qLSl511n66wa2xRzBJJceERNqxySb2BZzhKW/fkpK3nUcVFqLIBJAoVDg5e1Vqv+UCgU+3j4WQSSARqkSfVePJEli1qxZ/P7777Rt15bWE/rQadk4bFo4YsgpLA4ii1RjHA9ovP0nAkkr2rhxI2PGjMHW1rbM7QsWLOD999/ngw8+4Pr165w/f54JEyawa9euap9rw9YvsfVxpaV3q3L3GfHGYzy67/XiL3uP0qOO9iotp2/EkpCbVuk558+fz+rVq1m1ahXXrl0jMTGRlStXsnfv3jL312q1jB49mi+++KL4tXHjxnHo0CFSUlKq8CkblpubGzNnzmTPnj3ExMQwZswYPvvsM3x8fJgyZQpfffUVubmln/TeiW7cuMGiRYtYv349anX1R7sFQRCEuqHRannuyy9o8d+VxE7sjTJfjypPT8mwwggUKhQ4ODhgZ2d5DyJJEt4+3sXfm0wmkpOT8fb2Kd5ur9Zio1Sz9fJh1p3dhbER3NDeKYyyiXVnd7H18mG0SjX26vJzWXh6eqK4bZukkCzKtVhsE31X74I6tGf+trcIfHggpkIjxjx9OXtWM5KkcfafCCStaM+ePQwePLjMbRcuXGDNmjVs3ryZoUOHYmNjg52dHWFhYTWaNrj526/w7B5Q6+QnkiQhA4eSTla43/nz5/n444/ZsmULI0aMwNbWFqVSyaBBg0qNopYUEhJiEShrtVp69+7Nvn37atXu+ubm5sasWbPYu3cvly9fZtSoUfznP//B29ub0NBQvv76a/Ly8qzdzHqzZMkSJkyYQP/+/a3dFEEQhGbNJJtYf3YXMS46vFq3RdJoKHnpNwDXoThRS8lRybJGI9PS0rGzs8fe3s7iPCqFEge1LYeST/LJX7saxehIU1fUd4eST+Kgtq00ucrto5LljUbeTvRd/SjqvyOp0bTx8iMwIAClUkFZt97VWVp4u8bUfyKQtKKoqCg6dLiVuKbkNM8DBw7g6+vLXXfdVe77N27cyIwZM6p0rgtn/sKl9a351I5ebjwUvqzS95W1n1qhJOpGTKl9S7b/4MGD+Pn50adPxdOrb58OGxwczMmTlkFqWa81Zu7u7jz22GPs27ePS5cuMXLkSNavX4+3tzcPPfQQ27Ztu6OCyh9//JHvv/+e1157zdpNEQRBaPZ2xP5YHIjYaLV4d+6C1LIVNxQS6UAqoOfW1LqSo5KlRiONJlJSkvEp8VpJCknCQW3LwaST7Ij9sX4/WDNQsu9uH2ksT8lRyYpGI28n+q7u3d5/Li4udO7cGVtbu9umINc8iCzSWPpPBJJWlJGRUW7Wz2vXruHl5VVn58rJysHWvuwptEX2v/AZX455gS/HvEDE85+Wu59GoSIhN73CY6Wnp9OqleU0Wl9fX1xcXNBqtVy5cqXM9zk6OpKZmVnqtaoU3m2MPDw8ePzxx/nf//7HhQsXGDZsGGvXrsXb25upU6eyffv20imimxCdTsfs2bNZvXo1Li53Xp1RQRCEpiQmO4WvYo5gp7K5FYhI0MrXB//2HZDVquKZSSVHRHx9zbUiHR0dLUYjU9NScXR0LHcJDphvaO1UNnwVc4TY7Kv18KmahzL7rgqKRiWBKo1GWrxX9F2dKa//NBoNwcEdadmyBQrFrd+92oxIFmkM/ScCSStydXUlOzu7zG3u7u4kJyfX2bnUDloMeboK9xn+6kym7X6VabtfZcRrs8rdT0JCbzJUeKyy2p+QkEB6ejqFhYXl/gJlZ2fj7Oxc6rU7IUjx9PRk9uzZREREcP78eUJCQlizZg1eXl488sgj7Nixo06CypSUFM6cOVMHLa7c22+/TZs2bZg8eXKDnE8QBEEom95k4P3oHUhQ5pRIBwd7unTpgpOT+QG2waAvsc0BR0dHfHx8i18zGo1cvXoVb++yRyNLUimUSMD70TsqvT+4Y+XkwC+/wP/+BxERcOIEZGVV6a2V9V1lPD09sbOzrfJoZEmi725KS4OjR2HvXjh0CM6cgRIl9CpSWf9JkoSPjw9BQUEolUpMJhmTsW6mo1q7/0QgaUXdunXj/PnzZW4bNmwYCQkJ1FVKd9e2XmQmVJ4gpypk5Epr2AwdOrRG7T979izdu3ev9LWmrkWLFsyZM4cDBw5w/vx57r33Xj788EO8vLwICwvj22+/tagBWh3PP/88PXv25KeffqrjVlu6ePEi7733Hh999FGt194KgiAItbMn/leS865jp7Ipdx9z2YEgWrVqhUajsdjWoUN7i8Q7V6+m4uTkjFarrdL57VQ2JOVdY0/8rzX7AE1ZVhYcPgxXr0JhoTkAiY83v/bbb5UGlFXpu4ooFAo6depUrdHIkpp13wEkJsLPP8ONG6DXmx8KXLoEBw7A6dOVBpRV7T9HR0e6du2Cra0WSVF3IZg1+08EklY0ZswYDh8+XOa2oKAgnnrqKaZOnUpkZCQ6nY6CggK2bNnCG2+8UWr/2NhYJEkiNja2zON1vbcPSScu1rrNP7y2mcOvbcbXvuKnXh06dGDOnDk8/PDDREREkJ+fj9ForDS4OXz4MKNHjy7+vqCggN9//50RI0bUuu2NVYsWLZg7dy4HDx7k3LlzDBo0iNWrV+Pl5cXf/vY3vvvuuyoHlUajka+//hqdTsfIkSPrLZiUZZm5c+eydOlSAgIC6uUcgiAIQtUYTEa+jTuGjUJdpQd7vr4+tG/fvvzjGQykpl7F27vqS2wkScJGoebbuGMYTKVrG97RoqLAVM4IU3JyhQFldfuuPjTrvjMa4dSpsreZTBATU2FAWd3+U6lUdO7cGReXuqvHbs3+E4GkFU2fPp3du3eXO53xgw8+4Omnn2bevHm4uLjQtm1bduzYwdixY0vtGx8fj7+/Pz4+PmUea/zY8WTFpZGbnlnm9qrKSc3AtbMfXV3bVLrvmjVrmD9/Pn//+99xc3PD19eXF198ka1bt9K6detS+xcUFLB7924effTR4td27txJSEhIlabW3AlatmzJk08+yaFDhzh79iwDBgzg3XffxcvLi2nTprFz504KCwvLff8PP/xQ/Pfc3FxGjhzJsWPH6ryd//d//8e1a9dYsGBBnR9bEARBqJ4T1y+Rpy8oVWuwpq5evYqrq2X21qrQKFXkGQo4ef1ynbSjSTAazSNZlbkZUP7w7rucLvGQt677rqaaZd8BZGaCoZIpoSUCym9WriTp8q2fUXPvP6k6iz379Okj19VUS8Hs+eefp0WLFixcuLBWx1m5ciWenp7MmTOnzO3xOWlMWv4EefHX6T9/Qo3OYdQb2DFzFSM/mce7A5/E196zNk0u5cMPPyQ+Pp633nqr+LV+/fqxYcMGunTpUqfnamqSk5PZtm0bX331FVFRUTzwwAOEhoYyYsQIiwv9zJkz+fzzzy3WoNrb2xMREVHl0hwJuWkcSjpJ1I0YEnLT0ZkMaBQqfO096Orahp62/gzvcw87d+6kb9++df5ZheZFkqTfZVmuOL2zUCFxbRaW//45FzITsVdXbRpqRfR6A9HRp+nUqVOp6a9VkasvoL2zLy/3nl7rtjQJ+fmwf/+t7wsL4coV8PEBe/tSu8+dO5eUlBRa9+vH7HfeIdzmQp31XW01u74Dc4Bf8v/PjAzzgwFvbyjjQcrYceNQqdX0GD+eJ958k7U3jtyR/VfVa7MIJJuRf/25iegbsTioK87eWpEcfT5dXANY1jOsDlsmVEdSUhLbtm0jPDyc6Ohoxo0bx5QpUxgyZAitWrUqM4GTvb09+/fv5+677y73uGn5Gaz9axfRN2KRMZd50ShUSEjIyOhMBvQmI2mpqThmSfxn2kt42jb9JEiCdYlAsvbEtbl5KzTqmH74bRxU5Reur8jW0JXkX89GUponqckmGe97OzHyxZrdjMqyTI6hgC8G/wMbZfUD0SanrECyqGSZi0upgHLOnDkkJSejkCRU9loyPp5BS/dW2Dk61Oj0lw78SXT4D9yISUGl1eDo5Ua7UX0InjCg2v8eml3fQelA8vp1uHjRXFTVw6NUQDl23DgA1CoVJhsVuZ88gZdHKzRVXEtc0tbQlQz6Zyg+fW5NMz+/5xfOf3+cB9Y8U+3j1WX/VfXabN1xWKFBze14P4uOr0Vn1KNRqqv9fp1Rj0qhZG7wA/XQOqGqvL29eeaZZ3jmmWdITExk27ZtvP766zz88MPlTnvNzc1l+PDh5QaTv6ad4/3oHRhMRuzLuBmRkNAqNejzssm5lolHh7YsOr6WBZ0n0tezQ6njCYIgCA0jPjcNlaSo+fo6GUasCMOnmz8GvYG4+Dj8W7eGjJothZEAFQbid2+jHTULjmpMoYDRo81/3lRQUMC9995LYWEhBoOByZMn8/LLL996j15vTrRS0zJjJQPHouPF3FZr294e3N1Bq6VbQQE+ALJMtoc9p3LyyLh2jkxbW1z8/bEtYxSzPFFbIjn130MMeGoMPt3boNZquHY5hdPfHKPDoI4o1dW7zbdq3wG0bAk9e4L61j1qfHw806dP5+rVq0iSxOzZsy2X1RiN5iy5en0ZB6yCosCxSHa2ObgEOHfOHFA6OYGbG6jVFM/DMhjI9nUhKjOLtKvXUDs54eofgFpT/fvruiJJEipJQXxuOu2cGmZJmFgj2Yx42rqwoPNEdCYDOmP1fuF0Rj06k4EFnSfioa27BcJC7fj4+DB//nyOHj3KqFGj0FfwH2lRMHn8+HGL139NO8eqqK9RYC5uW97NiGySuXIljtatW+NkY48CiVVRX/Nr2rk6/UyCIAhC1cVmp2KQa1hKQKcH2WS+GZfhxo3rODk5oazlei8jMlfIrdUx6oqNjQ0HDx7k5MmTnDhxgr179/Lzzz83bCNycyEuDhITUZeYCZjr54asVJjr0+flc+2vv7h4/nyVSoHpcvL5Y8NeBswdTZu7O6KxtUGSJDzaehGyeFK1g8gijanvwJycZtWqVZw5c4aff/6ZNWvWNFiJMwBk2byOMjYWrl6lZJiY6+eGSaFAksGYlUVS1CmuXLlS4b1YfTPKJq7kNFxNSRFINjN9PTuwuOtkTMjk6PMrLYgqy+b9TMgs7jpZjD7Vo6VLl7J69eoavddgMLBv375K98vNzWXYsGEsWbKEhQsXkpafwfvRO9AoVJWOUienJGOr1RbX9NQo1WgUKt6P3kF6Qe2SOJXnrrvuIjo6uvj7U6dOMWDAgHo5lyAIQlN0ITOhZm+UgYJbAYveoCc7JwdXF9dat0kGzlN2neyGJkkSDg7m0TW9Xo9er7deyarcXHz0erwBGyArsAVFd2EyoJBBzsrm7NmzXLhwocKAMjUqBqPegH+/ur0va0x9B+Dl5UWvXr0Ac/mM4OBgEhMTG74hNwPKAKAloOa2/pNBLUNuejpRUVFWCyhl4HxGDf9PqAExtbUZ6uvZgff6zWXdX7s4Xcl6OAno4hrA3OAHxEhkPUpLS+OLL77g4s3pFZGRkbz00ktERkYC5oD+ww8/ZP369cTExODq6kr//v1Zvnw5Xbt25f7776/yf1i5ubm8+eabfPPNN6z9axeZSelELv6Uh8KXFe9zKeIPTocfJiMuFbWtDS6BrXAaGMhdY0P441NzwNpr1n1olGpy9PmsPft9metmZ8yYQUhICDNmzGDjxo089thj2Nqa1+h6enoSEhLC0qVLi9PQx8bGEhISUlzG5tlnn2X58uVs27YNMNdedXFxYefOnWVmLxYEQWhusvR5KGoSGJmMYDLfBu9/bat5Ch9wFOj80ADahHSucZt0Kok/Uq+x6bYZMPVNqVYTOmpUqVESo9FI7969uXjxIvPmzaNfv3632qrTcXDfPq5drFmJNKXBQKurt0aAFEYjriWmyRpUKlQlsoIW6nQ4AA7AOUcblLeVDbEBMk0yWZlZnMk6g42NDR07dkSlsrxlL7iejdbJDsXNta0ZmRkcejmc7MTrGA1GBj47Do8O1Z/eaK2+A/Dp1YsBnTujUZf9YDs2NpY///zTov+MRiPbv/4aXU5Ojc6pzc/H/fr14u81Oh2ORbkmJAmDUmnRfxLgDDgB5x1tUNzefzLkyTLp6emkp6fj4OBIhw7ll9rZ/8JnxX0IYNQb8WhfdgWGqlBIEtn6yke064oIJJspT1sXlvUMK5WhU28yoC6RoXOId/c6z84qlLZx40bGjBlTHGTdbsGCBezatYtPPvmEgQMHYjQa2bFjB7t27aJr165cvHixyrUmlUolRqORR+bNYuwXf8dWaZmVLGrrYU5tOsjAxQ/ic1cHlGoVP28/gC7mRpkZ/OxVWk7fiCUhN63Sfyv9+/fn6NGjGI1GYmNjWbVqFb179+bYsWNlZuYdN25ccYa7Vq1aARAWFsa6detEICkIggA3H/rWboRt+PMPofUzPyyum9E6CVkpoajDoutVUd75lEolJ06cICMjg4kTJ3L69GmLa45CqnlbFQqFRXF5SZYti83ftr0ko0oFlea8LLs/bJzsKMjKw2Q0oVAqkIDByyYDsGfRZ8gmudz3VnY+a/QdYP45lfPvLycnhwcffJDVq1fj5ORksU2hUNRd/0lS8ffybd/frir9V9mv0/BXZ5aZbKemJCT0ciXlTOqQCCSbOV97T6YFDbd2M5q9PXv2MGvWrDK3XbhwgTVr1nDs2DHuuuuu4tfDwswjgAaDgbi4OIv32NnZoVar0el0GAwGvLy8aNu2Ld26dePXX3+lQ4cO9Jg7mh9zzlvcNOhy8vnj073cu+RhAgZ3AyA9PR3Xrn50nDKyzPZJkoQMHEo6WeV/S0qlkrZt2/Lxxx8TFxfHSy+9xNdff11qP61WS+/evdm3b19xfdGQkBAef/xxCgsLq13jTBAE4U6jViiRK49GSlMoQXHr/393d/c6a1MuBto7uTC1Tcc6O2aVVBCIALi4uDBkyBD27t1bHEhqNBpGjhxZv8l2SrgSG8t1vZ5rQKHBgEmyXGdWCCgUEk5OTvj4+GJrW3Y20BbdAlGqVVw5fo42A4Jxdr6VRV2hUODk5ISbm1u1P47V+g7MyXbKGI3U6/U8+OCDhIWFMWnSJIttSqWSBydNqp9kO2WIio4mE7gB6AwG5Nv+uRVK5gcTHh4eeHl5oS5ndLW+yMiopYYL70QgKQiNQFRUFB063FrnEBISUjyt9cCBA/j6+loEkSXFxcWh1Wrx8PAgKCiIbt260bFjR9q1a0dQUBBeXl4WT+r69u3L6NGj+ZUM1AolWi+34mmtqdFXMOoM+N9jvsAa9AYSExMJCgoqvjb3mnVfqTaoFUqibpS+cG7cuLHSzz5p0iSWLl0KQEBAQPG01iLBwcGcLHGR9vHxQa1Wc+7cObp161bp8QVBEO5kTmo7TNUo5VZMArQ1LwdWERMyjo3kFjMtLQ21Wo2Liwv5+flERETw3HPPWacxDg4kqtWk3PxWlV2IfPP6LAFGCRROTgT7+pUbQBaxcban57Sh/PTv3SDL+PRsi1qr4XrsVQwFNV+b15j6DsxLex577DGCg4P5+9//br2G3MzeGgsU/XQt+k8CHeDg6UmQFQLIIiZZxrEWZf6qq/H8SxGEZiwjIwNHR8cyt127dg0vL69y3xsYGFhm7cjKzpWQexHtbQl2CjJz0Trbo1ApAUi5moK7uzt2dnYVHlOjUJGQm17lNpTk7e3N9RLrE27n6OhI8m1PBx0dHcmo6dNjQRCEO0iQsy+RKadq9maNGiQFESu3IJUYnfTpEcjw5x+qcZskoD1lX9MaWnJyMo8++ihGoxGTyURoaCgPPNDAZcwcHMzlI7Ra9CVGTJ0up5I6IAgkkGztcPf3x9a+4uttSd2mj8TO05lT237k8HvfoNZqcGzlQt9Hh9Gio1+NmtqY+g7gxx9/5Msvv6Rr16706NEDgNdee40xY8Y0TANuK/9RMkR3upxK6sAgZAlUTs54B/hbLYAsIgHtXXwb7HwikBSERsDV1bXcYNDd3b1UIFUX59KpDdjeVrBW62xPQWYuJoMRhUpJq1ZeKJXKSo8pIaE31WxOfmJiYoXTb7Kzs4szxVb0miAIQnMU4NgClVTz9WwPfbWs8p2qSWkoxL/3GGigWnYV6datG3/++Wf5O6jVcM89NT9Bfr5FwXoKC29Nz3R1NRe0L1Eb8tSGDSRhnv5ISjYmGxvcWrdBW436kSW1G92PdqP7Vb5jFTWmvgMYNGhQxRUGlEoYNarmJ0hONgeJRa5fB0dHcwDp6QleXhb9++vNP9UqFfqULCQ7e1oEtkddRg6JypRMclik/ei7aD+67BloVaGUFPg7tKzx+6tLlP8QhEagW7dunD9/vsxtw4YNIyEhgd9++61Oz6VRqEqtq2nR2d+85uLoaQBUKmWlC8Xh5px8Rc2eS+3YsYN7KriInz17lu7duxd/n5iYiE6ns5gKLAiC0Fz52XtikE2VlvNqKLIsY5BN+DXnRH2urtC5MwQFWQSRYM4roFQoaDNwIK98+TXufr7YVDLrp6GIvsO8zrZFC+jWDQICLB8S3KRSq+k1eTIf7TuKi1crVFYehSxijf4TgaQgNAJjxozh8OHDZW4LCgriqaeeYurUqURGRqLT6SgoKGDLli288cYbpfaPjY1FkqRSaw1vP5evvQe620YRbc1kpwAABvpJREFUNQ629Jp1Hz+9t53YI1EYCnSYDEbifz7LL//eWebxNty7mPg/zuNr71Hlz2s0GomJieGZZ54hMjKSFStWlLlfQUEBv//+OyNGjCh+7fDhwwwdOlQk2hEEQQBslBo6OvuRZyi0dlMAyDMU0tHZD5tKahPfMTQaywQ/NjZlBpBFwv75T14/dozVR47Qvd8A0XfWpr1tLaqLS7kBJAoFT7z2Gv++cIFlmzfj36Zts+8/EUgKQiMwffp0du/eXW7x4Q8++ICnn36aefPm4eLiQtu2bdmxY0eZJTDi4+Px9/fHx6fsOkRjx47lr7/+wlfniN5kLLW968Mh9Js3jpNf7GfTuBVsmfwvzmz/Ef9Bpctz5Fy9gdrOBnt/T7q6tqn0cx47dgwHBwecnJwICQkhKyuLX3/9la5du5a5/86dOwkJCcHb+9YUm02bNjF37txKzyUIgtBcjPW/29pNuEWCcf79rd2KhqNUmkcgK+PtDSEh3LNgAcElkueJvrMyJ6cyM8VaUCggMBCGD2fc0qW08vcv3tTc+0+skRSERsDDw4Pp06ezbt06Fi5cWGq7JEksWLCABQsWVHqsw4cPs3Tp0nIXfKvVapYtW8bxzYeQHmyNLMul6oa1G9mbdiN7V3qulJOXCZ44EK2zHUO8u1e474wZM5gxY0alxyzpnXfeYcOGDcXfnzp1iuvXrzNu3LhqHUcQBOFO1sOtLXZqLTqjAY3Serd2OqMBO5WW7m6BVmuDVXTtCkeOwG3F6QFzANm+vXndXRlE31mZUmnuvz/+KL1NoTCPTrZrV/YIJaL/pOrMqe/Tp49cV+u0BEGwvn/9uYnoG7E41CJVdI4+ny6uASzrGVaHLROaC0mSfpdluY+129GUiWuzAPDdlWNsunQQB5W21MPBhiDLMjmGAsLaDm1+o1oAOTlw9qy5HmVRopbAwHIDyJJE3zUC6elw7py5jqRWa65pGRhYbgBZ0p3Yf1W9NosRSUFoxuZ2vJ9Fx9eiM+rR1GBOvc6oR6VQMje4gVOpC4IgCBZG+/XlUPJJUvKuY6+uuAZhfcgzFOJt585ov74Nfu5GwcEB+tbss4u+awQ8PMxfNdCc+0+skRSEZszT1oUFnSeiMxnQGatXwFhn1KMzGVjQeSIeWud6aqEgCIJQFWqFivmdJyADhjLWv9cng8mIDCzoPLHGGbybM9F3TVtz7j8RSApCM9fXswOLu07GhEyOPr/SFPKybN7PhMzirpPp6ynKcAiCIDQGbRxbMaXNPeQZCjE1UDkQkyyTZyhkSpt7CHBsuPp1dxrRd01bc+0/EUgKgkBfzw68128uXVwDyDUUkK3Pp8Cow3SzNplJNlFg1JGtzyfXUEAX1wBW3/2kCCIFQRAamYkBAxni1d38wK+eb2hNNx8sDvXuzsSAgfV6ruZA9F3T1hz7T4xhC4IAmKe5LusZRkJuGoeSThJ1I4aE3HT0JgNqhQpfew+6urZhiHd3fJtzsWJBEIRGTCEpmB18PwCHkk9ip7JBpVDW+XkMJiN5hkKGenfniY73o5DE2ERtib5r2ppj/4lAUhAEC772nkwLGm7tZgiCIAg1pJQUzAm+nxa2LnwVcwTJqMdOZVMnGSXlm9PpZOChwMFMDBgoApE6JPquaWtu/ScCSUEQBEEQhDuMQlLwYJt76OURxAfR35CUdw0bhbpWte50RgOFJj3edu4s6DxRrKurJ6Lvmrbm1H+ijqQgCIJgNaKOZO2Ja7NQGb3JwJ74X/k27hh5hgKQqfIoSdEoCBLYqbSMb92f0X59RYbPBiL6rmlrqv1X1WuzCCQFQRAEqxGBZO2Ja7NQVQaTkRPXL7Hzys/8lRmPSlJglE3IgEKSkJCQkTHJMhLmaXoG2URHZz/G+fenu1tgvaz5Eion+q5pa2r9V9Vrs3gkIQiCIAiC0AyoFEr6eLSnj0d7Co064nPTuZJzlfMZCWTr89HLBtSSCke1Le1dfPF3aImfvQc2So21m97sib5r2u7U/hMjkoIgCILViBHJ2hPXZkEQBKEuVfXaLFI1CYIgCIIgCIIgCNUiAklBEARBEARBEAShWkQgKQiCIAiCIAiCIFSLCCQFQRAEQRAEQRCEahGBpCAIgiAIgiAIglAtIpAUBEEQBEEQBEEQqqVa5T8kSUoDrtRfcwRBEIRmxl+WZU9rN6IpE9dmQRAEoY5V6dpcrUBSEARBEARBEARBEMTUVkEQBEEQBEEQBKFaRCApCIIgCIIgCIIgVIsIJAVBEARBEARBEIRqEYGkIAiCIAiCIAiCUC0ikBQEQRAEQRAEQRCqRQSSgiAIgiAIgiAIQrWIQFIQBEEQBEEQBEGoFhFICoIgCIIgCIIgCNUiAklBEARBEARBEAShWv4fxZkZdkM3SrgAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1152x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Fp1h2dJNXru9V+fmwbh2cLvNQrrAQfvnFGVR6EFBK+3nRiROwebOzN7LEmTOwdSusWlVjQCltJy5UEkgK0UQsWLCAYcOG4e/vX2WZ7du3c/bsWfbt28eECRN46KGHmD59ep2uN/uNuUT3uYTQwOAqy4ycP4k7lr/AHctf4Pav/1FpmZI5k2n5NfcSjho1iiVLlvDuu++Sk5PDoUOHeOSRR1i6dGml5ePi4ujUqRNffPGFe9vYsWN55513sNRh6JAQonI2h50lR9bjazA3yDIDdaGUwtdgZsmR9dgcdq/UwWv27wd7Fe+5uLjGgFLaz8v27Kl6X35+tQGltJ24kEkgKUQTsWzZMq6++mqPykZFRXH77bfz2muv8cILL3Dq1KlaX2/x0i+I7t6m3jcupRQaWJW+vdpy3333HStWrGDJkiX069cPHx8ffHx8GDJkCHPmzKnyuJSUlHKBZmJiIuHh4WzYsKFe9RZClNqW/SsF1qJ6LXjeEHyMJgpsRWzP/s2r9TjvcnLKv64sqHQFlD88/TSvTZrE2dxc9y5pPy+yWuHs2dLXDofz51yugPLDP/2JT2fPxma1AtJ24sImgaQQTcTOnTvp2LGj+7Unw1RHjBiBzWbjp59+AioOh61O6t6DhLdu4X4d17Mdw1/5c43HVVbObDCyM+dQhbITJkxgwYIFgDOQ7NevH4mJidXXKzWVpKQk9+vOnTuzfXv5ILWybUKIuvvi8HpvV6GUbmL1OR9cQYXbrl1w7FilvY8/b9zI8tmzuT0+3h1QNqnPq7m137ltZLXCzp2QmVlpQLnm66/58LHHGBsXx6ezZ7Pk0LrzVFEPNLe2E/Um60gK0UTk5uYSHFz1MNPKmM1moqKiyM7OrvX1ivIK8A8MrLbM5/f8C2Vw9li2u743Ax4ZWWk5H4OJtPysas+VlZVFbGys+3V2djaXXHIJWmssFgtFZeeWlBEcHExumSfvVW0TQtSNxV7MvtNpBJn86nyOX1f8zK5P1pB75CTmAF8i28WTfNtgYru1qfW5ApSJvTmHsWRn4VvLJGANIjgYDLV4zq61c26cay53neTnlz8+P985X/LwYWjRwvljdCZh8bVa8XU4oLCQdf/+Nz+89Qa5b/6J2Oi4Wl/2kzHPU5idh8FoRBkUYUkxtLuuF51u6IeqzWdQhtfbLyQEajPSxuFwZsmtamhxTQoLne1VorjY2XanT4OvL8TGQmSku07+Dgdmmw1OnWLJ1CdImzOW8OAIAmJi6jRCqKQNlcEArsNHffB3AqNCa32uAJMve08fxWIvxtfoU+vjRfMjgaQQTUR4eDh5eXm1OsZqtZKZmUlEREStr+cT7I+toPp5hr9/66+EJEbVeC6FqjHbW2RkJAcOHACcQaTFYiE3N5eDBw/Svn37Ko/Ly8sjLCysxm1CiLo5mp+JybVmbF3s/PB7dny0iiseGE5Cr7YYTUbSfj7IkVXbiE2KrvX5FGDCxtG1K2hHUJ3qVC+/+x2UmateVFTEVVddhcViwWazMWrUqPJz0x0O59xFV5KwOtm5s3zP1uHDpYHNb785A9vwcAgLIz43ly4l5axW8hJCycnO4UR6JuYW0UTGJ2Aweh4EXvvceBIubUnx2UIydh1mw5vLydzxG1c9MqJOb8Wr7WcwwNChlQaSdrud3r17k5CQwFdffVV2h3MOY10fTlossHt36WurFY4cKX194ACYzRARAcHBtC8upuSOnRcVyEmLjeIzx0jPyCAgIYGw6GjP/y1qDVpz7dQ/kpB8ifPD9/EBv6pzLVRHKYVJGTian0W7kPg6nUM0LzK0VYgmonv37uzfv79WxyxZsgSTyUTfvn1rfb2wS2I5ndYwy2hoNGZD6XMprTWZmZmsX7+e9957j6eeeoo1a9bw448/4u/vT3R0NNddd51H5/7ll19ITk6ucZsQom5S805i05XM6fJAcU4ePy/4lsvvG0bS5Z0x+/lgMBlp1bcjfe+8ts51sqM5TH7NBc8DX19fvv/+e7Zv3862bdv45ptvzv8cbYcDTp2CQ4cItFgou0BEfssIHAYDaI3t5En2bd9ORsZxHHYP2lRrsBSD1vgE+tG6X0cG/+0PHPh+O9mHT9a5uk2p/UrMmTOHzp07e+fiVqszs+vhwwQ5HCUdh+S3jEAbDTg0KLuDoqNH2bNjB6dOnUJ7sGwIhYWuYNL1WuNsz8K6rUMKYNcODp+VNSWFZySQFKKJGDZsGGvWrPGobHZ2Nh988AEPPvggjz/+OJGRkRXKrF69utqnmp0H9iJ968E617fEVw/NZc2/P+PskSyGDx9O+/btCQgIoGXLlgwdOpQ///nPzJgxg40bN6K1pqioCKUUQ4YMwWq11viFbM2aNQwdOtT9+tixY2RnZ9O/f/96110IAQdOp9X52JPbDmIvttF6QKcGrJHz+/B+ajdCo7EopQgKcvasWa1WrFar17Jr4nAQZLGQBEQCRuDMJS1K4wgNgQ4HGRnpbN9RQ0Dp6s06V3SHBAIjQzix+0glB3mmKbUfQFpaGkuXLuWee+7xbkWsVqJsNpKAUMq3HTibw89q48jhI+zcubP6gNJmh2Jr5fuKrRXn3XpIA/tz6/43QTQvMrRViCZi/Pjx9OjRg8LCwiqXAElOTkYphY+PD8nJybz88suMHTu20rJHjx7l8ssvr/J6o2+9hck33IXNYsXkW/d5LGdP5BAyuD0/f/Ujx74uvwZVVUt0OBwO5s6dy0cffUS3bt1Yvnx5peUyMjLYs2cPv//9793bPvzwQ+644w58fb2z3pYQF5sz1gIMdQyMik7n4xcSgMFo4NSpLAoLizDWYlhlVWw+RtYcTiVr6Uf1Pldt/aVPH0LP+Rtst9u57LLLOHjwIA8++CD9+vVz77PabHz3zTdsXrSozte85PRpjGUChtj8fAyu10UmE752O8r1Oic3FyPOQDIM2B/siyqT1MUEOBwa0KSnHyM9/RhtktoQEXnOFIhzEsGkZ6SDdo4KNQf7kpVxgoyM9Dq9H2+1n8nXl79dfz3Gc+Z3Tpw4kZkzZ1Y6faSoqIgP5s8nvezw1Npc0+GgzZkz7tdGh4OYgtIewQKTiYAyw5YLCwsxAzGAf7AvxnPawQzYHQ7sxQ5SU1M5fPgwXbp0qXjPKzOn87sZn4BSGAyK2K5JXPvkLc55u+ba39sNSpFnLaz1caJ5kkCymUvLz2RV+nZ25hwiLT+LYocNH4OJxMAouoW3YVB8MomBtZ/jImovKiqK8ePH88YbbzBx4sQK+z0a5lLGmjVrmDZtWpX7b+xyFXOv7cHeJevoOqbisiN3/zCrxmvkn8wlMCqUDoN68eNf5nlct/j4eI4ePVrjU/2XXnqJJ554Ah8f56R/i8XCvHnz+OGHHzy+lhCielaHHUXdAkm/EH+KzhTgsDswm83knT1LeHgU1PF8JSwGTWzLYK677pJ6nacu/PwqJh0yGo1s27aN3NxcRo4cya5du+jatSsABoOBzp06EeHhcP3KhP76K6pMYBB4/HhpoKdUuZ7DAwcOUFjo/KJ/FrCYTFDJ7UEp5/z14OBggoJrnqtotVoJDQnFbDZjOV1IcGQYISG1T9gC3ms/ZTJVeCjy1Vdf0aJFCy677LJKM6GbTCb69etHfkJC3a5ptRJ6qDRrubLbCThROjRUGwzlAv2c7GxsFgt2nA8Jzr21l7w0OBuQ8PAI9z2w/IVL3+c1T4yhKEgTHR1NaKirzewOZ8+kT+2CSYXCqqvPeSBECQkkm6nMwlxe37uU3TmpaJzLN/gZzfgbfdBo0gtOcfjsSZYe3UjX8CTu6zScaH9JbtLYZsyY0WDneuutt6rd3zIomlsfu5fdOal1vkZgizAGvfInuoYnMX7mXCZMmOD+glMVs9nM7bff7tHQsFmzygezvr6+7N27t871FUJUZDYY0ZVFIh5o0e0SjGYThzfspc0VnTl95gxaQ1BQ9Rmha2Yj3j+MftENO2TWI9WMdggLC2PQoEF888037kDSaDCQlJREUn2uaTaXT7ZjMlWZRTTt2DFOA9mAFZzHlflzWqScQUhkZCTx8fGYq+qVMhrLvTQohb+/P2eOZFGYc5ZWPdoRWENm76p5qf0MhgqJdtauXcsXX3zB119/TVFREWfOnOG2227j/fffB5yBZNcuXaCOgSQWizPBTQmr1dl+Vdi6bRunLBZycfZm63NuhUUGhVEpYmNjiWkRU3XiJJOpwvOanJxsQkKCUcp1jKWo1oGkRmNWEh4Iz8gcyWZoU+Y+Ht34OrtzUgk0+RFs9sfP6IPBlbXPoAz4GX0INvsTaPJjV04qj258nU2Z+7xdddHA7u80HJPBSLG9bnMpiu1WTAYj93e+gTFjxrBgwYIqh+WW1bt371r3sAohGkeIOQBHHf89+kSG0uu2Qax7fRmpG/YRGhhCZmYmR7Yc4Ke3V9S5Tg40wU3kWXdmZqZ7uaHCwkJWrFhBp05eCHCVgtBQMoOCOIEriARMeRZnr5cCuwJzRCTdunWjdevWVQeR7nMawLXEk62wmLQtB1n1z89ol9KdiKSYOle1KbXfCy+8QFpaGqmpqXz88ccMHjzYHUSeVwYDREZy1GzmFGCntO3A2bxWgyIkNo7k7snExcVVn33XoMBcvqfS19eP06dLh9k6eyVrtyyNQ2uCzXXL+iqan6bxr1ycN5sy9zFr56f4GEwEefCHQilFkNmfYruVWTs/ZVK3UfSJ7ngeairOh2j/MB7pMpJZOz8FwKcWa34V260UO2xM6jaKKD/nUJoxY8agtebOO++ssmfSz8+PSZMm8cQTTzB69GjGjBlDt27dvJe8Qohmrn1oIquP76jbwQYD3cZfh39UGNsX/Y/cI5kYfE1EXBJL73GDK/R6eUppOx38YsBct6GV9XLO36KMjAzuuOMO7HY7DoeDMWPGcMMNN5Q/xt8fQutR18DA8slR/PxKeyiVgrAw51qEZjNFW7ZQNienf2oW+or2GENCiGrVGrNvLdb/U7Di2Y8wGA04tCa8VTRdRw6g09A+UI+5rl5rv7qsfakUBAVVmnjIIxYLBASUvrZay/dqG43OpT/Cw8FopMBodLef728n4Yr22A2KgMhIYhITMdTm34xf+d7ziMgI0o+lExISgqHksyiyOANOD2+xCugQluh5HUSzJoGkl02ZMoWYmJhK58Q1pOXLlzN77itEThqIj8FUq4ABSgOMObsXM7v/A+7AoSFNmjSJdu3a8cADDwDO+XDJycn8+OOPREfLPM3G0ie6I5O6jWLO7sWctRYSaPKrNqjTWpNvK8JkMFb6YOGWW25Ba81dd91VIZg0m808/PDDPP/882zevJmFCxdy44034u/v7w4qu3btKkGlEOdRUnALTKoeA5SUot3wfrQb7kxAk5eXR2rqYVp07Vy7heHLMNostL4sBZrAWnbdu3dn69atVRcwGqFdO+dPXRUWlu85Ki52Dm2NioL4+HKBybGVK9kNmIxGMBho26Enka2TCPav/ZqNtyx8yv37nj17SEpKIqBsUFRHTan9ykpJSSElJaX8RpMJevas+0kLC52JbUpYLM5g0miE2FiIiSk31PWAjw/pgK+PD5bMAswhYcS2j6tdAFnCYOCW9x5DWyz8evBXfH188ff35/Tp04SHhzvLOBxgLS4//LYaRmWgdVDde6NF8yJDW70oMzOTd999l/vuuw9wLtdQ9g+cUorAwECCgoLcPzNnzgTgmWee4ZlnnvH4Wk8++SQtR/XF5rDjYzQz76pJ7n1L//IfFvzucd65for759u/OxOnZGw9yNK//AdwBpM2h53Xf/mq0mssWLCACRMmuF8XFxczffp0WrdujY+PD/Hx8QwdOpRvv/3WXSYpKYlU1yLOkydPZsaMGRS7bqa+vr7cddddvPjiix6/T1E3faI78nK/++kankS+rYg8ayFF9mIc2oHWGod2UGQvJs9aSL6tiK7hSczu/0CVvdN//OMfmTdvXoVhrmazmbFjx6KUok+fPvzzn/8kNTWVd999l8LCQm644QYuvfRSnn76aXbXMYOeEKJ2WgZGY3P9W28IwcHB+Pr6cOrUqTodr7XGph20bM6J3qKjoXt3aNOmwpxNo8GAMhjoMXIkr+7dyz9eWwCuV9ukAAAgAElEQVQmY5OZLtDs289gcM63TE52/vec+ZImkwmDry+DH3yQBf/7meDoSFRdelJL+JZPDhUREUFubg4OR5k5tkVFlSZkOlezbztRa9Ij6UULFixg2LBh1c4p2759O+3q85QT2LRpE6dysznT0kSgqWI2OoABE0fS8Yaa1+UrmTOZlp9ZbTbX9PR0rrnmGn799VeMRiNWq5WffvqJXbt2sXTp0koXo4+Li6NTp0588cUXjBo1CoCxY8fSo0cPZsyYIcs9NLJo/zCe6jmuQiZfq8OGuQ6ZfG+99VYA7r77bnfPZGRkJF26dClXTilF37596du3L//85z/56aefWLhwIUOHDiUoKIgxY8YwevToCscJIRqGr9GHTqEt2X86jUBz5feI2oqPT+C3334lMiISZahdr2SBzUKn0Jb41nLkzAUtMLB8j2TLlpWXMxi45e9/Z9QbbxDXpo17c0O3X300u/bz83MGjyWZWc3mqhP3+Pgwed48ovv0ISjMmcCw3m1nUOUeNvj4+BAQEEhu7mkiIlxLvjg0FFuqTSQFzbDtRL1JIOlFy5Yt46677jov12ndsyMa6j1kUCmFBlalb+f29r8rt89qtZKamsrAgQPZuHEjVtd8D6vVitFoJD4+nsTERIYMGVLl+VNSUli6dKk7kExMTCQ8PJwNGzZw9dUVl6gQDS8xMLpC29ZV2WCyuLiYO+64o9rySin69etHv379+Oc//8nGjRtZtGgRQ4YMISQkhDFjxjBmzBg6d+7cIPUTQjjd2Lo/s3Z82mDnCwoKJMA/gMysTFq0aFG7gxXc1HpAg9XlghATAzk5Ve83GKB1a2jXjhaVLE/S0O1XL82t/ZSCFi3g+PGqy/j4QNu2kJREm3N6KBuk7c4JECMiIkhLO0poaCjGkiGzFgv4+FY/V7K5tZ2oNwkkvWjnzp107Fg6NDAlJaXSNY4qU5thrTt37oTYQMyG0vH3nqwRCBDXsx3De5bvETUbjOzMca6ZpLVm69atvPbaa3z88ccopSpd8DcsLKx04ncZJcNaS3Tu3Jn//ve/FbZt375dAskL1K233orWmvHjx7sDS08YDAYGDBjAgAEDeOmll9iwYQOLFi3i2muvJTw83D2n0ivZE4W4yPSIaEuA2Y9iuw0fY8N8NYhPiOfAgYNERUVV+ve/MsV2GwEmP5Ijzv/6kV7Vti1kZsK5w4HLBJBUEkCWaIz2q4tm237du8Pp0875kmWVCSCrWhKktm1ntVr55ZdfCAoK5pJLXL3SyoClTBmz2UxgYBC5uTlERkY5N9bQK9ls207UiwSSXpSbm0twcHC1ZXr16lXuBvzJJ59w/fXX1/o6+YmB+Biqbu71cz5nw9wvAI3BYODSm6/ksnuGVlrWx2Di8JkTzJo1i7lz55KZmUlRURH2Kta8AufTsbCwMLTWWCwWispOTC8jODjYnWa9um3iwjJ27Fiuv/56IiMj63S8wWDg8ssv5/LLL2fWrFmsX7+ehQsXcs011xAZGekOKss+mBFCeM5kMDKi1QA++PV7zAZjgyS8CggIICgokMzMTGJiak7eobXG4rAyqs1ATIa6ZXu9YBkMMGAAHD4MWVnOjK2Rkc4hrtUEkCUao/1qq1m3n68vpKTAr79Cbq6zPaOjITGx2jUloXZtd/r0aX777TfsdkeFpV0s4OxtdM2FjIgI58iRo4SFhWEsCVCLXGtennONZt12ol4kkPSi8PDwSnvvyvr555/rPUcyPDyc4/mnUVWMZ9Ba0/bWK4js35Y2bdrUuA5gVlYWGTmZLHrsbY8n97du3Zr9+/dz8OBB2rdvX2W5vLw8wlzzBqrbJi48dQ0iz2UwGLjiiiu44oorePnll1m3bh0LFy5k0KBBREdHu+dUdujQoVbnLSoqwtfXVzLGimZraMs+rMrYzvGC7AacKxnP/v37iYqKxljDchIFNgvxAZEMbdmnQa59wVHK2XOVlFSnwxuj/Wqj2befyQR1fJhZU9tph+Zo2lGysrJwOJzfu4znZHnVCmdAW2RxVcdMcEgwOTk5REW58hpoDZbiCsuGNPu2E3UmWVu9qHv37uzfv/+8XKfwWDa6kpRdubm55OfnYzab6dyps0eLyUdGRBISGIzZbPb4S/fRo0eZNm0aH374IQBbtmwhIyOjQi/mL7/8QnJyco3bhABnUHnllVfyyiuvkJaWxty5czl+/DhXX321O0nTgQMHPDrX8uXLadeuHePGjeO7775r5JoL0fSYDSb+0uX3aMDmqHqESW34+/sTEhzCyZMnqi1nc9jRwCNdRmKuZvSMqFpjtJ+npP3qp7q2KyqysHvPnnJBpKKKlXV8fcvtCA8P58yZPGwla5ICWIrKrZkpbSfqQwJJLxo2bBhr1qxpkHMppaqcXzls2DCydx6h2FH6h8Rud5CamsrRo2n4+/sTHh7mUWa9pX/5D1sWLOeyS7qwa9cuevfuTWBgYI1169ixI1prVq1aBcCf/vQnevbsib+/PwkJCfTp04ff//73vP766xQUFDB//ny++eYbVqxYwalTp+jXr5/nH4ZolgwGAwMHDuTf//43aWlpvPLKK6SnpzNw4EB69uzJCy+8wMGDB6s8fsSIEaxdu5YhQ4Ywa9Ysdu3adR5rL0TT0CY4ltFtBlJgs+BooOUk4uLjOXHiRJXTHxxaU2CzMLrNQJKCZf26+miM9quJtF/DqKztTp06xZ49e7AUFbmDSABUFckTVfkMriajiZDQEHJyskvLaJyJd5C2E/Unjx68aPz48fTo0YPCwsIqewKTk5PL/bG45557mD17drkyR48eJTg4mG7dulV6jl69ehEWGsbx3akkde/A2bNnOXToECEhIVx66aUcMf7A+tmL2fDvJe5jQlu24PdvPVrhXPknc+lwaUu6hbehffv2bNy4kfnz5/Poo49SVFTkztR6rm+++YYtW7bQrVs3li9f7l7+w2q1cvz4cdLT09m1axdr1qwhKSmJH374gfT0dHbs2EFBQQFhYWHExcURHx9PfHw8CQkJ7t/LbqtpzqloHoxGI1dddRVXXXUVc+bM4ccff2TRokVMnDiRTz75pNKHH3a7ndjYWG6//Xbmzp3L0aNH6dq1qxdqL4R3jUy6gpOFuazK2E6Q2R9DPYd7+/n5EhYWxokTJ4iPL79AvUNrzloLGRyfzMikK+p1HeHU0O1XHWm/hlXSdivTt3Iq7SSnT5/GUbKsSAVVtKuvjzOpjivwDA8L5/CRw4SFh2M2ueZVWiw4zD6ctRdJ24l6kUDSi6Kiohg/fjxvvPEGEydOrLDf0/mHa9as4cEHH6x2Dtpzzz/H32Y+gzEigOxT2SQltSY0NBSA4a/82aPr5J/MxT88iLje7RgU7xxqqpTi7rvv5sYbb+Tee+9lxYoVFBQUlDsuJCTEnW3zXGazmZYtW9KyZUsWLlzIP/7xD/78Z2d9LBYLycnJ7Nixg+DgYNLT0yv8bNu2zf37sWPHMBgMFYLLcwPOuLg4j4bwiouD0WgkJSWFlJSUam7IsGLFCu655x4GDx5MbGxslQ9mhLjYGZSBezsPB2BVxnYCTL71TsARHxfPnl/20KJFC0yu5CM2h50Cm4XB8cn8qdNwDEoGSTWExmi/ykj7NTyDMtCnMI7/LHkNvx5xlU5JclKVD22F0l7JQmdSQ6PRSGhoKDnZ2bRo4ex1tGkHBUVnGNy6j7SdqBflabAC0Lt3b7158+ZGrI5oLNu3b+feL17Er20UbeJaum/ktXXWWkjX8CSe6jmu0v1ff/01EyZMIC8vz52ZNTg4mA0bNnDppZfWuf6e0FqTl5fHsWPHKg06S7ZnZGQQFBRUaY9m2dcxMTEVsqKJi5PD4cBgMLB+/XpmzJjBs88+S8+ePb1drWZBKbVFa93b2/W4kDXWvdmhHSxOXcuiQz+igABT/ZJRHTlyBIPBQEJCAgU2CxoY3WYgI5OukC+yjaC27bdnzx6SkpIICAio9rzaNRxS2q9haa3517/+xdSpUyksKiRuWDLxN/ZEo7EXlB/tZVCKxMREWsS0cB0LP/+8hcsuu8x1MiDvjLtX0uGwc/jwYRISE7Cajc62Uy0Zec14DP7Vt7donjy9N0uP5EXObrfz0ksvMWvWLKbPmsHa+CwcVT7hql6x3YrJYOT+zjdUWWbYsGH89ttv/P3vf2f+/PkUFhZisVgqDGdqDEopQkJCCAkJqXbBeq01p06dKhdcpqens3PnTpYvX+7enpmZSVRUVI0BZ23WSBNNT1FREX6u9PoDBgwgKiqKrKwsL9dKCO8zKAN/aDOQXlHteWX356QXnMLXYK7zOoVxsXHs2f8LQZGhtAyJ4ZEuI2VeViNq6PYD51qDFoeV+IBIab8GtmfPHh577DFnsK8hY+l2cncc5ZI/peAXG4rdYkNbXfOMFVWObHXv9/Vzr2tpMBgJigjjRP4ZLg2L4xHak6QD4eCvIKNvRD1IIHkR++2337jjjjswmUxs2rSJ1q1b0ztzH7N2fgqAj9Hz3rZiu5Vih41J3UYR5RdabdmgoCDmzp3LnXfeya233sqRI0fcw2ibAqUUUVFRREVF0b179yrL2Ww2Tp48WaFXc/369eW2nTlzhtjY2AoB57lBZ2hoqCwt0cTY7XY++ugjIiIiGDFiBL/++itGo5FC1803Pz+fuXPnYjKZGDVqFK1bt/ZyjYU4/9oExzKz7z0sO7qJJUfWk28rAu15D2VJDxYGiAgNx7w1m5mPPSkZIs+TBms/BQEmP0a1GcjQln2k/RpYly5d3MHkypUrKSoqovBoNnue/ZwW11xK7JDuGAN8ANBF1prbzscHXVRIgXYmWowIDiPn7eU89LvbSWrtyhNw5Ai0awcy3UfUkQxtvQhprZk3bx5TpkzhiSee4JFHHinXY7Ypcx9zdi/G5rATaPKr9o+R1pp8WxEmg5FHuoykT3Tt1kiy2Wzs2bOn2oDtQmexWMjIyKhyKG3Jj9VqrTZRUMnvNQ0raggOh4PbbruNHTt2cOONN/LCCy80+jWbIq01H330EW+99RZZWVm0bNmSvn37MnnyZAIDA9Fa88MPP/D++++zePFi2rVrx5gxYxg1ahStWrXydvUvCjK0tf7O573Z5rCzLftXvjy8gb2nj2JSBuzaOc7FoBQKhUbj0BoFGJUBm3bQKbQlN7UeQJwtiG5durJt2zZatmx5XuosSlXXfkePHCE2JhZfP98q2y854hJZsP482LFjB3/9619Zt26d+8EmBkVo10Rir+9GSMdYoiOjCQ4Jdv7bQ7F//346dOxQvu2KLXQq9uUmEkgmlC8WL2Hf3r1MmTKl9GKtWoEssSbO4em9WQLJi8yJEye45557OHbsGO+99x5dunSptFxmYS5v7F3KrpxUNGA2GPExmNxfAoodNqwOOwroGp7E/Z1vqLEnUlTv7Nmzlc7dPDfo9PX1rTE7bWxsLD4+PnWui91uZ8WKFWzcuJFVq1axevVq7HZ7hQWOm5OSz79378r/blqtVr7//nsWLVrE559/Tvv27d1BpXwhrjsJJOvPW/dmi72Yo/lZHD57gv25aeRZC7FqG2ZlItjsT4ewRFoHxdAyMApfY+nfqylTppCdnc0bb7xx3ussSp3bfgs+eZ8rrxpITFSLattPnD/z58/ngQcewGQylUtkGBQWwtOzX6DntQPYn5vG6eJ83n5nAXdPuKt82/lH4vvjWsjPB5wPvu+9916mTZtG27ZtnSdTCgYNghqWchPNiwSSzdDixYt54IEHuOeee5g2bZpHgUZafiar0rezM+cQaflZWB02zAYTiYFRdAtvw6D4ZBIDo89D7QU4e8hyc3Mr7dEsG3SeOHGCsLCwagPO+Ph4WrRoUW1w+Pbbb/Pdd9/xwQcfNPtAsjasVisrV650B5WdOnVi9OjRjBo1isTERG9X74IigWT9XWj35uzsbDp06MDGjRtLv8wKr+vZsyfz58+XRGNNyHXXXcfo0aPp3LkzEydOZO/eveTn5xMYGMirr77KHXfcATgfDvv4+FS+VmtaGmzd6n751Vdf8fPPPzNt2rTSMgkJ0KtXY78dcQGRZDvNyOnTp3nkkUdYu3YtixcvZsCAAR4fmxgYze3tf9eItRO1oZQiPDyc8PDwKnuTwTk0NTMzs0KP5pYtW/jyyy/d27Ozs2nRogXr16+vtNfs0KFDxMbGNuZbuiiZzWaGDBnCkCFDeO2111i5ciULFy7kueeeo3Pnzu6gMiEhwdtVFaLJiYiI4KGHHuLZZ5/lnXfe8XZ1hGiS1qxZw6+//sqECRMwm81s2rSJ77//nokTJ7Jr1y7PH/wmJMCBA3D2LADXX389n332GXv37qVTp07OMseOQfv2IGtxi1qSQPICt3r1aiZMmMDQoUPZtm1bpQuti4uPwWAgJiaGmJiYap8eW61Wjh8/TlxcXKX7T5w4QceOlc973bx5M/v27SvXwxksN5kKfHx8GDp0KEOHDqW4uJjvvvuOhQsXMn36dLp06cKYMWP4wx/+cF4yFwtxoXj00Udp165d+S+zQgjAOTpp6tSpPP300+5lyJRSXHPNNezYsYPVq1d7nntCKejUCVyjFsxmM7fccgvvv/8+zz//fGm5ffugiqkdQlRFAskLVFFREU8++SSffPIJb775JkOHDvV2lUQTZDabq52/d/LkSa6++mqAckmXbDYb6enpLF26tFyvZ8kacNVlqI2Li3Mvp9Hc+Pj4MGzYMIYNG4bFYnEHldOmTaNbt27uoLKqwF6I5iI0NJRJkybxzDPP8PHHH3u7OkI0KStWrCAzM5Nx4yqu2a2UYtCgQbU7YWwshITAmTMAXHPNNXz66afs3LmTbiXLf2RkwOnT0ISy7IumTwLJC9DWrVu57bbb6NKlC9u3bycyMtLbVRIXKIvFQv/+/QHKZfY1mUzcdNNN3HTTTe5tWmvy8vIqzN08dOgQa9eudW/PyMggKCio2rmbCQkJxMTEYDJdvH+CfH19GT58OMOHD8disbBixQoWLlzI1KlT6d69uzuolKHForl6+OGHadu2LTt27LioM3sLURslvZHTp09vuLwFJb2SP/0EOO/xY8eO5f333+fFF18sfZC8bx/07dsw1xTNwsX7Le4iZLPZ+L//+z/mzJnDyy+/zNixY2VdQlEnL774Im+//TYHDhzgtttuY8qUKQwZMsQ9hKYySilCQkIICQmhc+fOVZbTWnPq1KkKCYN27tzJ8uXL3duzsrKIjIyschmUkp+oqKhyQe6FyNfXlxtuuIEbbriBoqIivv32WxYtWsRTTz1FcnKyO6iMiWn4xb3PTahV7LDhIwm1RBMQGBjI448/zrRp0/j888+9XR0hmoSvvvqKoqIiRo0a1bAnjomB8HDIyQHgqquuYuHChWzdupVeJYl2Tpxw7g8Pb9hri4uWZG29QBw8eJDx48cTEBDA22+/LcsNiHopGbp6/PhxDh48SJs2bejfv/95fTBhs9k4efJkletulvycOXOG2NjYatfejI+PJzQ09IJ7sFJUVMTy5ctZuHAhS5cupVevXowePZqbb7653kFlZmEur+9dym4Pl/i5r9Nwov3DGuR91YZkba2/C/neXFhYSPv27fn888+rXHpHnB+StdX7HA4HvXr1Yvr06YwYMcLj46rN2lpWZiZs2OB++eP//sfizz5j1qxZpffP6GhwjVQSzZdkbb1IaK154403mDp1KtOmTePBBx+84HtnhPeZTCZatWpFq1at6OulYSwmk8kdBFbHYrGQkZFRYQmUPXv2lNtmtVqrXXuz5PeAgIDz9A5r5ufnx4gRIxgxYgSFhYXuoHLKlClcdtlljBkzhptvvpno6Nr1GG7K3Mec3YuxOewEmvwqBNgKhZ/RBz+j82/MrpxUHt34Oo90GUmf6MqTLwnRGPz9/XnyySeZOnUqy5Yt83Z1hPCq//73v5jN5nLTShpUdDRERsKpUwBccfnlLFq4kJ9++ol+/fo5y2RmOvfLtCnhAemRbMIyMjK4++67OXnyJO+//75kthOiGmfPnq1y3c2yr319fWtcfzMuLs6jdVgbS2FhId988w0LFy5k2bJl9O7dmzFjxjBy5Mgag8pNmfuYtfNTfAwmfIxVD1U+V7HdSrHDxqRuo85rMCk9kvV3od+bi4uL6dixI++99x5XXnmlt6vTbEmPpHfZ7Xa6devGyy+/zPXXX1/rYz3qkQRnkLhunfvlxo0b+eCDD5g9e3ZpR0VEBFxxRa3qIC4u0iN5gVu0aBEPP/ww999/P08++WS1c9eEEBAUFESHDh3o0KFDlWW01uTm5lYILvft28eqVavc20+cOEFYWFiN8zdbtGhRbTKEKVOmEBMTw8SJE2v1Xvz9/Rk5ciQjR46koKDAHVQ+9thj9O3b1x1URkVFlTvukcceZW3hAS4dNbBWQSTgLj9n92Jm93+AKL/GydzXt29f3n777WrXSRXNi4+PD1OnTmXq1KmsWrXK29URwis++ugjIiMjue666xr3QpGRzp7JzEzA+Tf5k4ULWbtuHQNLHuRkZzv313I0jGh+JJBsYnJzc3nooYfYtGkTX3zxhdeGHQpxMVJKER4eTnh4OF27dq2ynN1uJysrq0KP5pYtW/jyyy/d23NycmjRokWlvZqBgYHMnz+fLVu2oLVmzZo1PPPMM6xevdpdl4CAAJRS+Pr60qNHD+69915uueUWdz1SUlJ45plnuPnmm7n55pspKCjg66+/ZtGiRUyePJl+/fq5g0qHw8Hb77zDde/8BR+jmYytB/n57W8Z/sqfAZh31SRMfj6gwGg2EdEunk439ueSa0p7H1Y8+iadb7+a10O/4qmeFdPOl5WUlMTq1atJSkpiwoQJfPjhh+V6cdu2bcv27dtJTU0lJSWF1NRUACZPnsy0adP473//W9vmExex8ePH88ILL/D9998zePBgb1dHiPPKarXyzDPP8NZbb52fuf4dO7oDSaUUt40bx5tvvsnlAwaUPhzdu1cCSVEjCSSbkJUrV3LnnXcyYsQItm7d2qTmcgnRnBiNRmJiYoiJial2mJfVauX48eMVhtH+8MMPrFu3juLiYrp160ZhYSFhYWEUFhYyZswY97zQZ599lp49exIQEMCOHTt46KGH2Lt3L08//XSl1wsICGDUqFGMGjWK/Px8vv76axYuXMikSZOISUogNLklgb7+VdZ35PxJhCRGUZR7lqMb97J+9mJyj5yk152lw6j8jD7sykklLT+zVtlc//a3v5Vf3LoKN910E/fffz/Hjx+XpU+Em8lkYvr06Tz11FOsXbv2gkucJUR9vPPOOyQlJZGSknJ+Lhge7szieuIE4BzWHBISwg8//FC6RmVurnN/I2QTFxcPCSSbgMLCQv7+97/z2WefMW/evMYf1iCEaBBms5mWLVtWmkV58ODBTJs2jdtuu42CggIWL17MSy+9xB/+8AfS09MBWL16dbkeTofDwfTp01mxYgWtW7fmt99+49NPP+XkyZPlejv9/PwIDAxk9OjRjB49mvz8fC7t34PA9ons2rWLoKAg7KfzqGoOvF9YEO2v743J18ya5z/k0puvxC80EHA+ndbAqvTt3N7+dw3+mfn5+XHZZZexfPly7rjjjgY/v7hw3XLLLcyYMYNly5YxbNgwb1dHiPPCYrHw3HPP8fHHH5/fC3fq5A4klVLcfvvtzJkzh4EDB5au8bx3L7Ro4VyHUohKSCDpZZs3b+b222+nZ8+e7Nixg3BZu0eIi8LOnTvp2NGZtCYgIIBx48YxblzpcNG//vWvvPzyy7Rr1w4oXX8zNjaW4cOHk5iYSPfu3Tl27BgLFy5093pmZGQQFBRUYSjticPp9L3zSuLaJVFUWMQZZSDhrss5cOAAEeERldax9ZVdcdgdZP5yhJb9O7uHwRbZi9mZc6ja91cyVLUmSUlJFcp27tyZ7du3e3S8aD6MRiPPPvssU6dOZejQodIrKZqFt956i27dujFgwIDze+GQEIiLg4wMALp27UpsbCwrV64sTfZz5oxzfw3Z1UXzJYGkl9hsNmbMmMGrr77KK6+8Um5elBDiwpebm0twcLDH5ZVSREVFERUVRatWrcoFnWU5HA6ys7MrJAwqLiii0FJEWloaxcVWbDYrJpOJoqIi0o6lAbB//34STTb3kFKDyYhfaCCWMwXlruFjMJGWn1Wr9/vSSy8xd+5c9+sRI0bwzjvvVFo2ODiYDNeXFyHKGjlyJM8//zyff/45I0eO9HZ1hGhUBQUFzJgxgy+//NI7FejY0R1IAowbN46ZM2cyaNCg0jnv+/Y5A055sCMqIYFkI1mzZg3ff/897du3549//GPpMAGcXwTfe+891q1bx88//0xCQoIXayqEaAzh4eHk5eXV6hir1UpmZiYREZX3IAIYDAZ3wJmcnOze/o9//R9xES1o0bk14OzhtNlsFBdbsVqL2Qz4+vphsVjcxzhsdopyz+IbUn4+tkJhddhqVffJkyd7NEcSIC8vj7CwsFqdXzQPSimee+45Hn/8cW666aZqsyILcaF77bXX6N+/P7169fJOBYKDITER0pwPGzt16kRSUhLLly/nxhtvdJY5exaOHXOWE+IcsrJ9I5g2bRoPPfQQcXFxzJo1i//85z84HA73foPBwG233cayZcskiBTiItW9e3f2799fq2OWLFmCyWSqU7bmsEtiOZ2W6X6tlMJsNhMYGOAO2lq3bkXr1q3dZQ7/bxfKaCC6c6ty59JozIbGe874yy+/lAuChShr2LBhBAcHs3DhQm9XRYhGk5eXx8yZM5k+fbp3K9KhQ7nexnHjxvHpp5+We+jI/v1Q5nusECUkkGxgR48eJS0tjS+//JL777+fWbNmMX/+/AqLxJrNZpn/IcRFbNiwYaxZs8ajstnZ2XzwwQc8+OCDPP7440RGRlYos3r16mr/ZnQe2Iv0rQc9up7lTAEHvytcBwYAACAASURBVN3Cupc/o/vYwe5EOyWKHTYce081yt+ooqIitmzZwrXXXtvg5xYXB6UUzz//PE8//TQ2W+16xoW4ULzyyiv87ne/q3YpqvMiMBDKJIxr27YtnTp1YunXX5eWyc9391oKUZYMbW1gCQkJPPvssyQmJmK1Whk8eDBxcXGcOHGCRBkWIESzMX78eHr06EFhYSH+/pUvyZGcnIxSCh8fH5KTk3n55ZcZO3ZspWWPHj3K5ZdfXuX1Rt96C5NvuAubxYrJ11xpmcV3zQLlnBsZ2S6e/g+NoO21FYdUWR12ws8aq73euWbOnMns2bPdr/38/MjKqjjP8ssvvyQlJcW9BIoQlRk8eDDx8fG899573Hnnnd6ujhANKjc3l9mzZ7N27VpvV8WpQwdnoOjqdRw7bhxPPfkkQ4YMIaDk/rV/v3N4q0H6oEQpCSQbmMFgcAeMZrOZrKwsjh8/jp+fn5drJoQ4n6Kiohg/fjxvvPEGEydOrLC/qqU5qrJmzRqmTZtW5f4bu1zF3Gt7sHfJOrqOubrC/rt/mOXRdbTWKOD07mPVXq+sBQsWsGDBAo/KvvTSS8ybN8+jsqL5KpkrOX78eMaNG1ea+EOIi8C//vUvbrzxRjp06ODtqjj5+0OrVuDKsN26VSuSk5P58osvSpNBFhbC4cPQpo336imaHAkkG5HD4eDgwYO0bduWqKgotm3bRkZGBkOGDJFhrUI0AzNmzGiwc7311lvV7m8ZFM2tj93L7pzUel0n31ZE1/AknlrwZL3OU5WNGzc2ynnFxWfgwIF07NiR+fPnc//993u7OkI0iKysLF599VW2bNni7aqU1749HDni7pW89dZb+dvf/sbw4cMJCgpyljlwwBlwShIs4SL9043IYDCglCIyMpKZM2cyevRoAAkihRCN4v5OwzEZjBTbrXU6vthuxWQwcn/nGxq4ZkLUzXPPPcfzzz9PYWGht6siRIOYOXMmt9xyC0lJSd6uSnl+fuV6GxMSEujXrx+ff/55aRmLxd1rKQRIINmgrNaKX942b97Mm2++yb59+1izZg1Dhw71Qs2EEM1BtH8Yj3QZSbHDhsVWjN3ueZa9YruV/8/efcc3Wa5/HP8k6d60lFmg7L2HiAgoHAQEZXOkgP7EwyhgURREuqAoQ0BBZOhR8cgWDuJCRQUVRGQdQJAyi2WVTkp3kzy/P0KTFtrS0vGkzfV+vfKSJ72bfou0yZX7vq87y6gnqOUQqjp5lmFKIYquc+fOdOrUibVr16odRYgSu3HjBh9++CFz5pTNio8Sa9Qoz2zjqFGj+Oabb7h165ZlzPnzIE2wxB1SSJaC7OxsQkNDGTly5D0d5rp3786aNWv48MMPpbmEEKLMdfZtyj+UJpw5G8m5vy/cdy+moiikZKdjRGFG6+F09m1aTkmFKJp58+axaNEiUlNT1Y4iRIksWLCAcePGWe/Rbw4O0KCB+bJ69eo8+uijbP/vfy1jsrLg0iUVwglrJIVkCf311188/PDDHDlyhFWrVmFnl3fbadu2bZkwYYJK6YQQtiQmJoYRI0Yw5cmxnHj9M3yznEnVZ3A7O50MQxZGxYiiKBgVIxmGLG5np5v3RL7TdbIUkcIqtWnThh49erBy5Uq1owjxwKKjo1m/fj2vvfaa2lEK17Ah2Fs6f48cOZLd339PQkKCZcyFC5DPKjxhe6SQfEBGo5Hly5fTo0cPJkyYwFdffUXNmjXVjiWEsEEGg4GVK1fSsGFDdu7caTpIOiWbfoamLHloAgPrPEQtFx8yDNkkZ6eRYcimlosPA+s8xJKHJhDcPkCWswqrFh4eztKlS/MusROiApk/fz4TJkygevXqakcpnL19nllJHx8fevfuzbZt2yxjsrPh4kUVwglrI11bH0B0dDT/93//R1paGgcOHKBRo0ZqRxJC2KhDhw4xbtw4/v77b9LS0sz3Ozk5UbNmTfxcfRnbuI+KCYUouebNm9O/f3/eeecdwsLC1I4jRLFcvHiR7du3c/bsWbWjFE2DBqZC8c6s4/DhwwkMDGTIkCH4+vqaxly8aGrOI0fz2DSZkSwGRVFYv349HTt2pHfv3vzyyy9SRAohVJGYmMjzzz9Pz549OXPmTJ4iMkeNGjVUSCZE2QgNDeXdd9/Nu8ROiApg3rx5TJs2DW9vb7WjFI2dnanxzh1eXl488cQTbNmyxTJGrzc13hE2TQrJIoqPj2fkyJEsXLiQ77//ntmzZ9+zH1IIIcqaoiisW7cOf39/Nm7cWOCxCHq9Xpbbi0qlYcOGDB06lCVLlqgdRYgiO3PmDN988w3Tp09XO0rx1K8Pjo7my6FDh3LgwAGuX79uGRMVZToSRNgsKSSL4JtvvqFNmzbUq1ePw4cP065dO7UjCSFs0KlTp+jYsSNTp04lOTnZtBeyABkZGda/F0eIYgoODmbt2rXcvHlT7ShCFEl4eDgvv/wynp4VbB+6TgeNG5sv3d3dGThwIJs3b7aMMRjg3DkVwglrIYVkIVJSUpg0aRKBgYFs2LCBJUuW4OTkpHYsIYSNmjVrFidOnCjSMQguLi44yN4VUcnUrVuXgIAAFi5cqHYUIe7rxIkT7N27l2nTpqkd5cHUqwe5Xvc+9dRTHDlyhOjoaMuYy5ehgJUxovKzqULSYDDw3XffFWnsgQMHaNeuHZmZmZw4cYJevXqVbTghhLiP//73v4SFheHs7IxWW/ivbx8fn3JKJUT5mj17Np988glXr15VO4oQhQoLC+O1117D1dVV7SgPRquFJk3Ml66urgwePJiNmzZZxhiNMitpw2yqkPzoo4/o169f3hbGd8nKymLOnDkMHTqUt956i48//hgPD49yTCmEEPlzcHAgJCSEkydP0rVr10JfnMiyVlFZ1axZk+eff54333xT7ShCFOjw4cMcOnSISZMmqR2lZOrUARcX8+XAgQP5888/uXTpkmXM339DPg3fROVnM4Vkamoqs2bNAuD555/Pu1n4jj///JOHHnqIkydP8r///Y8hQ4aUd0whhLivhg0bsm/fPlauXIlWq8238VedOnVUSCZE+Zg5cyabN28mKipK7ShC5CskJIQ5c+ZU/C1Rd81KOjk5MXzYMDZu3GgZoyhQUY42EaXKZgrJxYsXk5GRAUB6ejrPPPMMiqIAYDQaWbZsGY899hhTp05l586d8m6+EMKqaTQabty4Qa9evRg5ciQuud4xBqhfv75KyYQoe76+vgQGBhIREaF2FCHusW/fPs6cOcP48ePVjlI6/PzAzc182b9/f86dO8fZ3Etar1yBlBQVwgk12UQhGRMTw5IlS8xt8vV6PYcPH2bNmjVcvnyZxx9/nB07dnDw4EHGjx+PRqNRObEQQhTuwoULLFmyhH//+99s2LCBXbt2UadOHVxcXLC3t8fPz0/tiEKUqRkzZvDFF19wTvZnCSsTEhJCaGho5Wl4ptHkmZV0cHBg1KhRbFi/3jJGUSAyUoVwQk02UUjOnj0bvV6f577U1FSmT59O+/btGTBgAHv37qVBgwYqJRRCiKJTFIXJkycza9Ys88xjjx49OHfuHC+//DKKosjSVlHpeXl5ERQUxNy5c9WOIoTZTz/9xNWrVxk7dqzaUUpXrVrg7m6+7NOnD1evXuXUqVOWMdeuQXKyCuGEWip9IRkZGcnmzZvJysq652NZWVn4+voyY8YMdDqdCumEEKL4Nm3aRExMzD0HXDs6OhIREUF0dDSDBg1SKZ0Q5ScoKIjdu3fnfTErhEoURSE4OJjw8PB8965XaBoNNGtmvrS3t+ef//wn69evN28VA2RW0sZU+kJy2rRphR7afeXKFen8JoSoMBISEpgxYwbvv/8+9vb2+Y6pUaNGgR8TojJxd3fn1VdfJSwsTO0oQrBr1y6Sk5MZNWqU2lHKRo0a4OlpvnzsscdISEjgxIkTljE3bkBSkgrhhBoqzNslV1Jj2XPtOCcTL3ElNY4sox4HrR1+rlVpXaU+j9Vqi5+rb57P+fXXX9m/fz9Go7HAx01LS2PBggUMGjSIdu3alfW3IYQQJTJr1iyGDRvGQw89pHYUIaxCYGAgy5Yt49ixY7Rv317tOMJGKYpCSEgI8+bNq9yr3Jo1g4MHAdDpdIwePZr169fTpk0bS4+RyEiQ5yibYPWFZGx6EmvOfM2pxCgUwF6rw0lnj7POAQWFa2nxXE65ydfRB2lVxZ+JzZ7E19nLvIcorQjn2qSnpzNkyBD++uuvit+mWQhRaf3666/s2rWL06dPqx1FCKvh4uLC7NmzCQ0N5csvv1Q7jrBRn3/+OYqiVP6j46pVA29vSEgA4NFHH2XrZ59x+PBhOnfubBpz86bp497eKgYV5cGql7Yeio3kpYNrOJUYhaudE+72zjjpHNBqtGg0GrQaLU46B9ztnXG1c+LPxCheOriGQ7GRfPbZZ8U6Xyo6OprQ0NCy+2aEEKIEMjMzmTBhAitWrMDDw0PtOEJYlQkTJnD8+HF+//13taMIG2QwGAgJCSEiIsI2Ov83bWr+o1arJWD0aDZs2JB3r+SZMyoEE+XNagvJQ7GRLD25DS0a3Oyd7/uDqdGYxmnRsOTENl59L4LU1NR7xjk7O+Pp6YmLiwt2dnbUrl2bHj16MHnyZPr161dW344QQpTI4sWLady4ceV/t1uIB+Do6EhISAghISFqRxE2aOvWrbi7uzNgwAC1o5SPqlVNtzsefvhhAA4cOGAZEx8PcXHlnUyUM6tc2hqbnsTyUztw0NrhoCtewwgHnT3Xb9yg6j87EB95hcz4FGrUqEHDhg1p06YNLVq0oFGjRjRu3Bg/P7/KvY5dCFEpnD17luXLl3P06FHbeLdbiAfw3HPPsXDhQn7++Wd69uypdhxhI/R6PWFhYaxevdq2fj83bWouFDUaDWPGjOHjdet46KGHLK+tz5yB7t1VDCnKWrFmJGNiYsoqh9l3331HjwF90BsNxS4ic/hWqUqN2rWYtm0RGRkZREdHs3fvXlasWMGkSZPo06cP9erVe6Ai8ssvv7ynG9ewYcPYtWvXA2UVQojCKIrCpEmTCA4Opm7dumrHEcJq2dvbExYWRkhISN4ldkKUoU8//ZTatWvz+OOPqx2lfHl7m/ZL3tGxY0dcnJ3Zt2+fZUxiomm/pKi0ilVI+vqauqLu3buXXr16me/XaDS4urri5uZmvi1evBiA8PBwwsPDi/w1Xp09i9rDOuFqZ2p682GPGeaPff3iKtb1mcUnT8w232L+jLpnnIuLMzW8qnIpK5brGQl5Hj8qKgp/f/88923evJmHHnoIV1dXqlWrxkMPPcSqVavMT0TPPfcc69atA2DQoEGcOnUqT6vjWbNmERwcXOTvUQghiuo///kPt27dYurUqWpHEcLqBQQEEBsby+7du9WOImxAVlYW8+bNs529kXfLda5kzqzkxo0bMRgMljGyV7JSK1YhqdUWPPz48eOkpKSYbzNnzix2mEOHDnEzIRafFnUK/IF8ePoQnv1ugflWvZV/vuM0Gg0KsOfa8UK/5tKlSwkKCuLVV1/lxo0bxMTEsGbNGvbv309WVla+n/PMM8/w/vvvm6+7dOlCcnIyhw8fLtL3KYQQRREXF8fMmTP54IMPKt/h1kKUAZ1Ox9y5cwkODpZZSVHmPvroI5o2bUp3W12+6elpOlvyjjZt2uDj48OePXssY27dMp0tKSolq2q2s2vXLqq1bYC9tnT2LdprdZxMvFTgx2/dukVoaCirVq1i+PDhuLu7o9FoaN++PRs2bMDR0THfz+vVqxdff/31fe8TQoiSmDFjBgEBAXTo0EHtKEJUGMOHDyczM1OOAhFlKj09nfnz5xMREaF2FHXl6uCaMyu5adMmsrOzLWPOnAF5Y6dSeqC3uHv16sXevXuLNLY4y1pPnjyJroYbDlpLrPG/LC3S5+Y3zkFrx5XUvB2j/P39zceCHDhwgMzMTJ5++ulCHztnWWuO5s2bExUVRXJysrkNf/PmzfOuCxdCiBL46aef2Lt3L6dOnVI7ihAVilarJSIigtDQUAYOHFjoaiohHtTatWvp1KmT5exEW+XhAbVrw9WrALRo0YI6deqwe/duSxfb27fh2jXTOFGplNpv1w4dOuDl5WW+fffdd8V+jKSkJDTO9mgoeJ35geWf8+mAOXw6YA6fj19W6ONp0JBt1Bf48bi4OKpWrZpnyVi3bt3w8vLC2dmZX375Jd/Pc3d3N+fNfV/uayGEeFAZGRlMmjSJlStX4ubmpnYcISqcQYMG4eDgwPbt29WOIiqh1NRUFi1axLx589SOYh2aNIFcW9JGBwSwdetWMjMzLWMiI2VWshIqtU03R48epVGjRiV6jCpVqhCXfhsFpcBi8uGgwTQd2LVIj6egYK8t+Fv08fEhLi4OvV5vLiZ/++03APz8/DAajfl+3u3btwHw8vLKc1/uayGEeFBvvvkmbdq0YdCgQWpHEaJC0mg0REREMH36dIYOHSpHfYlStXLlSnr06EGbNm3UjmId3NzAzw+iowFo0rgxjRs35ttvv7Ws+ktNhStXoE4dFYOK0mZV6z3atGmDMSaFrEJmEYsjy6jHz7VqgR9/+OGHcXR0ZOfOncV63L/++gt/f3/zstac+9q2bfvAWYUQAuD06dOsXr2a5cuXqx1FiAqtb9++VK1alY0bN6odRVQit27dYunSpcXaumUT7p6VHD2abdu3k56ebhlz9iwUMEkjKqZyLyQ1Gk2B+ysHDBhAzPFLZBsN+X68qI5+9B1fv7iKbKOB1lXqFzjOy8uLsLAwAgMD2bZtG7dv38ZoNPK///2P1NTUAj/v559/pn///ve9TwghisNoNDJx4kTCw8OpLXtJhCgRjUbD/PnzmTt3bt7GH0KUwDvvvEP//v1p3ry52lGsi4sL5DrruH79+rRu1SpvI8q0NPOspagcilVIFrTUE6Bt27Z5zpGcPn36PWOio6Nxd3endevW+T5Ghw4dqO7tS8Jf0SVq2516M4lqrfzRAI/VKnyWcObMmSxbtozFixdTvXp1qlevzsSJE1m0aBHdunXL93M2bdrExIkTzdeHDh3Czc2NLl26PHBmIYT46KOPyM7OZtKkSWpHEaJS6NmzJ/7+/nzyySdqRxGVQEJCAu+++y6hoaFqR7FOTZpAruZWo0ePZseOHXknZ86eBUPJJoyE9SjWHsnY2Nh87y9q0ffzzz8zZcoUfHx8Chzz1oJFBC14HZ/mdXCzd87zsSdXBBbp68SdvUKPxc/Rqoo/fq6+9x0fEBBAQEBAkR77yy+/pHnz5nmWsS5cuJD58+cX6fOFECI/MTExvP766/zwww+yn0uIUhQREcGoUaMYO3Zsgcd6CVEUS5YsYejQoTRs2FDtKNbJyQn8/eHiRcDUb6RTp07s3LmT0aNHm8ZkZMDly9CggXo5RanRFGfmr1OnTsrhw4fLMI5JbHoSLx1cgxYNDjr7Yn9+liEbIwrvdJ1MVSfPMkgohBCla/To0dSpU4dFixapHaVcaTSaI4qidFI7R0VWXs/NFdnAgQPp168fU6dOVTuK1Wrfvj0fffQR7du3VzuKVbp58ybNmzfn2LFj1M21hNMaGAwGHBwcMFjDTF9mJvz4o3nW8fr167zyyiusXr3a0lvE0RF69wZ509RqFfW52aqa7eTwdfYiqOUQsox6sgzF29eQZcgmy6gnqOUQKSKFEBXCd999x++//y7LpYQoI/PmzWPBggWkpaWpHUVUUAsXLiQgIMDqikir4+gI9S39SWrWrEm3bt3YsWOHZUxmJly6pEI4UdqsspAE6OzblBmth2NEISU7/b7LZxXFNM6IwozWw+ns27SckgohxINLS0sjMDCQVatW4erqqnYcISqlDh060LVrV1avXq12FFEBXb16lXXr1jF79my1o1QMDRtCrjPaR44cybfffkti7vPWz58HaYJV4VltIQmmYvLthybRqoo/qfoMbmenk2HIwqgYURQFo2Ikw5DF7ex0UvUZtKrizztdJ0sRKYSoMObNm0eXLl3o16+f2lGEqNTmzp3L4sWLzWdBC1FUb7zxBuPHj6dmzZpqR6kYHBzy7IH09fXlscceY/u2bZYx2dkyK1kJFKvZjhp8nb0Ibh/AldRY9lw7zsnES1xJjSPbqMdea4efa1VaV6nPY7XaFqmxjhBCWIuTJ0/y0UcfceLECbWjCFHptWrVij59+rBixQrmzJmjdhxRQURFRbFlyxbOnDmjdpSKpUEDU6F4Z9Zx+PDhTJkyhSFDhliabl64YFoGa1/8fijCOlh9IZnDz9WXsY37qB1DCCFKhdFoZMKECcyfP58aNWqoHUcImxAWFsYjjzzClClT8PLyUjuOqAAiIiIIDAzE11cmK4rF3t60xPVOAe7t7U3fvn3ZunUrkydPNo3R603FZLNmKgYVJWHVS1uFEKKyWrNmDTqdjhdeeEHtKELYjCZNmvDUU0+xbNkytaOICuDs2bN88cUXzJgxQ+0oFVP9+qZlrncMGzaMX3/9lRsxMZYxFy+amu+ICkkKSSGEKGfXrl0jLCyMtWvXotXKr2EhylNISAjvvfcecXFxakcRVm7u3LkEBQXJ7PWDsrODxo3Nlx4eHgwYMIAtmzdbxhgMpsY7okKSVzBCCFHOgoKCmDhxIi1btlQ7ihA2x9/fn1GjRrF48WK1owgrdurUKX744QeCgoLUjlKx1asHTk7my8GDB/PHH39w9epVy5ioKMjIKP9sosSkkBRCiHL01Vdf8b///U+afQihojlz5vDhhx9y48YNtaMIKxUWFsarr76Ku7u72lEqNp0uz6ykm5sbTz/9NJs2bbKMMRrh3DkVwomSkkJSCCHKSUpKClOnTmXNmjU4OzurHUcIm1W7dm2effZZFixYoHYUYYWOHj3Kb7/9RmBgoNpRKoe6dSHXc97AQYM4fvw4ly9ftoz5+29IS1MhnCgJKSSFEKKchIWF0aNHD3r37q12FCFs3muvvcb69euJjo5WO4qwMqGhobz++uu4uLioHaVy0GqhSRPzpYuzM0OGDmXjxo2WMTIrWSFJISmEEOXg2LFjrF+/nqVLl6odRQgBVKtWzXwEjxA5Dhw4wIkTJ/jXv/6ldpTKxc8PXF3Nl08OGMCZM2e4cOGCZUx0NKSmqhBOPCgpJIUQoowZDAYmTJjAwoUL5SwyIazIq6++yvbt27l48aLaUYSVCA0NJSQkBEdHR7WjVC5aLTRtar50dHRkxIgRbNiwwTJGUSAyUoVw4kFJISmEEGVs5cqVuLq68txzz6kdRQiRi7e3N9OmTWPevHlqRxFWYO/evVy8eFF+V5eVWrUgV/OiJ554gqioKM6cOWMZc/Uq3L6tQjjxIKSQFEKIMhQdHU1ERARr165Fo9GoHUcIcZfp06fzzTff5H0xK2yOoiiEhIQQHh6Ovb292nEqJ40mz6ykvb09o0aNYv369XnHyaxkhSGFpBBClKFp06Yxbdo0muZ68hRCWA9PT09efvllwsPD1Y4iVPT9998TFxfH6NGj1Y5SudWoAR4e5svevXsTExPDyZMnLWOuX4dbt1QIJ4pLCkkhhCgjO3bs4MyZM7z22mtqRxFCFGLatGns3buXEydOqB1FqCBnNnLu3LnodDq141RuGg00a2a+tLOzY/To0axfvx5FUSzjZFayQpBCUgghykBycjIvvvgia9eulaYNQlg5V1dXXnvtNcLCwtSOIlTw5ZdfkpmZyfDhw9WOYhuqV4cqVcyXPXr0IDk5mWPHjlnGxMRAYqIK4URxSCEphBBlIDg4mL59+9KzZ0+1owghimDSpEkcOnSIw4cPqx1FlCOj0UhISAgRERFotfKyuNzk2u6h0+kICAiQWckKSH5ihBCilB06dIitW7fy1ltvqR1FCFFETk5OzJkzh5CQELWjiHK0bds2HB0dGTRokNpRbIuvL/j4mC+7deuGXq/n4MGDljGxsRAfr0I4UVRSSAohRCnS6/VMmDCBJUuW4O3trXYcIUQxjB8/njNnzrB//361o4hyYDAYCAsLIyIiQrpqqyHXrKRWqyUgIIANGzZgNBotY6SbslWTQlIIIUrRO++8Q9WqVQkICFA7ihCimBwcHMwH0ovKb+PGjVStWpW+ffuqHcU2+fiYZibv6NKlC/YODuz/7TfLmIQE08yksEpSSAohRCmJiopi4cKFrF69Wt7dFqKCGjt2LFeuXOGnn35SO4ooQ9nZ2YSHhzN//nz5fa2mXB1cNRoNY8eMYeOGDRgMBssYmZW0WlJICiFEKVAUhSlTpvDyyy/TqFEjteMIIR6QnZ0d4eHhBAcH5238ISqVdevW0aBBA2mIpjYvL1MX1zvatWuHh4cHP//8s2VMUhLcuKFCOHE/UkgKIUQp+Oyzz7h8+TKvvPKK2lGEECU0atQokpOT2bVrl9pRRBnIzMwkIiKCiIgItaMIuHdWcuxYNm3ahF6vt4y5ehXkjR2rI4WkEEKUUFJSEi+99BJr167FwcFB7ThCiBLS6XTMmzePkJAQm5mV7N69Ox4eHmrHKBcffPABbdq0oWvXrmpHKTUPP/yw2hEenIcH1KplvmzVqhU1atTgxx9/BDc36NIF2rZVMaAoiJ3aAYQQoqKbPXs2gwYN4pFHHlE7ihCilAwZMoQLFy6g1+uxt7dXO06Ze/PNN3F2dlY7RplTFIW6deuycOFCtaOUGq1Wy1dffaV2jJJp0gSuXTNfPjdlCkk1a6L06GHawypnfFolKSSFEKIEfvvtN3bu3Mnp06fVjiKEKEUajYaXXnoJOzvbeKnk7u6udoRyodFoGDBgQKX6/6rRaPDy8lI7Rsm4u4Ofn+ncyGbNaFizJgajEY1Op3YyUYjK81MkhBDlLDs7m4kTJ/L2229X/CdxIcQ9KlOxISzk/6uVatXKNPN4ZwZSJ0Wk1ZN5YiGEeEBLliyhTp06jBw5Uu0oQohypCgKKSkpxMTEJQqBJAAAIABJREFUqB1FFCI+Pp64uDjS09PVjiKKwt4edLr7LmOVnz/rIYWkEEI8gAsXLrB06VJWrVolZ5AJYWMyMjL4/PPPee6559SOIgqwb98+Jk+ezKOPPsrcuXO5deuW2pFEKZGfP+shhaQQQhSToihMnjyZWbNm4e/vr3YcIUQ5MBqN5g6uzs7OPPPMMxiNRj799FOVk5Xc/v37873/xo0bXLlypZzTlI7g4GBGjx7N7t27iY+PZ/To0WRnZ6sdq0ycPHmSuLi4fD+WmZlZzmnKRmX++avIpJAUQohi2rhxIzdv3mT69OlqRxFClLH4+HguX76MVqs1rz7Q6/XodDpefvll0xEFFVyPHj0YN25c3nP7MBWS48aNUynVg/v1119JS0tj8ODB+Pn58cEHH5CRkcHBgwcB+PHHHzlx4oTKKUvPs88+m6ezsNFoBCAtLY0ePXqoFatU2MLPX0UmhaQQQhRDQkICr7zyCu+//75NHAkghK179913qV+/PhMnTiQwMJBNmzaRnp7O999/z9y5c+nQoYPaEUusdevWVK1alYEDB5KSkmK+v127dhVyH1q9evV4/fXX0ev15lnIJ554gn379gEQFBRUqRq5GI1GPD09zdcdO3YEwMXFhaysLLVilQpb+PmryKRtlRBCFMPMmTMZPnw4Xbp0UTuKEKIcvPDCC2zbto3+/fuTkpLCjh07+Pe//43BYGDYsGFMmjRJ7YglptFoWLZsGcuXL6dXr15s27YNf39/UlJS0FbA8/vq1q1L9erVzd1ZFUWhd+/eLFmyhBkzZtC5c2datmypcsrSYzQaSU9Px9nZmeTkZC5cuEBaWhqOjo73zDJXNLbw81eRSSEphBBF9Msvv/Dtt9/KmZFC2BA/Pz+eeOIJTpw4QWhoKGPGjCEhIQFvb2/0en2lOEoiZ8lgUFAQ/v7+9OrVi3bt2vHXX38xZcoUldM9GEdHR/OfNRoNHTt2xGAw8Pbbb3Pu3DkVk5W+UaNG8cQTT/CPf/yDPXv2MGXKFHr06IGdnR3Dhw9XO16J2MLPX0Umf/tCCFEEmZmZTJw4kRUrVuDh4aF2HCFEOZo5cybjxo3j9u3buLu74+3tDVSe8wjffPNN85+ffvppevfuzcGDB6lduzbNmjVTMVnpmjp1Kk2bNqVhw4ZqRylVc+bMoX379pw5c4aVK1fSokULhg4diqIolWL1TIE/fwC3b4OzM1SSn8WKRpPTAakoOnXqpBw+fLgM4wghhHWaN28eR44c4fPPP5fjPkqRRqM5oihKJ7VzVGTy3Fw+Lly4QN26dbG3tyc9PR0nJyf5XWDlMjIycHJyynOf0WiskMt1bV3un7+s9HQcDAY4dQpu3oQmTaBpU7UjVipFfW6WnyQhhLiPyMhIVqxYwcqVK+WFoxA2qmHDhuYGW3v37uWtt95SOVHpysjIMHf7rAwuXLhAYGAgBoMhz/2VsYhUFOWe77OyadiwIfYaDYaUFFaOH0/s1q2mIhLg4kWo4E2FKqrK99MkhBClSFEUJk2aRHBwMHXq1FE7jhDCCjRp0oTFixeTkJCgdpRSM2DAAE6dOqV2jFIzb9486tWrV6m6sxbEaDTi6uqqdoyyYzRCejocP45uzx6qZmezZcsWy8f1ejh/Xr18NkwKSSGEKMQnn3zC7du3mTZtmtpRhBBWomHDhgwdOpQlS5aoHaXUJCYmVvgOnzn++usvdu3aZVNn/eYcc1Jp7dsH164BMGTIEA4cOMC1O9cAREVBRoY62WyYFJJCCFGA2NhYZs2axfvvv28T72oLIYouODiYtWvXcjNneZ2wGuHh4bz88st5zlYUFZhWC40amS/d3d0ZOHAgmzdvtowxGGRWUgVSSAohRAFeeeUVAgIC5MBjIcQ96tatS0BAAAsXLlQ7isjl+PHj/Pzzz7KKpLKpVw9yNU566qmnOHr0KNHR0ZYxly+blsCKciOFpBBC5OPHH39k7969zJs3T+0oQggrNXv2bD755BOuXr2qdhRxR1hYGK+99lrl3jNoi7RaU3fWO1xdXRk8eDAbN22yjDEaoZKdEWrtpJAUQoi7pKenM2nSJN577z3c3NzUjiOEsFI1a9Zk/Pjxec5hFOo5dOgQhw8fZtKkSWpHEWWhTh1wcTFfDhw4kFN//smlS5csY/7+G1JTVQhnm6SQFEKIuyxYsIC2bdsycOBAtaMIIazczJkz2bx5M1FRUWpHsXkhISHMmTPnnrMjRSVx16ykk5MTw4cPZ8OGDZYxigJnz6oQzjZJISmEELkYjUaGDRvGqlWr1I4ihKgAqlatSmBgIBEREWpHsWn79u0jMjKS8ePHqx1FlCU/P8i1Uqhfv35cuHCBs7mLx6tXISVFhXC2RwpJIYTIRavV0rp1a6pVq6Z2FCFEBTFjxgy++OILzsn+LFUoikJwcDChoaE4ODioHUeUJY0GmjY1Xzo4ODBy5Mh7ZyUjI1UIZ3ukkBRCiLtotfKrUQhRdF5eXkyfPp25c+eqHcUm/fTTT1y7do2xY8eqHUWUh5o1wcPDfNmnTx+uXr3KqVOnLGOuXYPkZBXC2RZ5tSSEsEmRkZF8/PHHfPvtt/z000+kS8twIUQJvPjii+zevTvvi1lR5nJmI+fOnYudnZ3acUR5uGtW0t7enn8+8wzr169HURTLOJmVLHNSSAohbI6iKAwZMoQjR47wn//8h6+++orXX3+dffv2qR1NCFFBubu78+qrrxIWFqZ2FJvyzTffcPv2bUaNGqV2FFGeatQAT0/z5WO9epGYmMjx48ctY27cgKQkFcLZDikkhRA257PPPqNFixasXLmS1atXM3z4cPz8/Ni6dStHjhwByPuuphBCFEFgYCC//fYbx44dUzuKTVAUhZCQEObNmydbEmxRs2bmP+p0Op555hk2bNggs5LlSH7qhBA2p1mzZly+fJmTJ0/i6elJt27dGDFiBNWqVePtt98mOzsbjUajdkwhRAXj4uLC66+/TmhoqNpRbMKOHTsAGDJkiMpJhCqqVQNvb/Plo48+Snp6OocPH7aMuXkTEhJUCGcbpJAUQticNm3aMHLkSObOnWvu9Fa3bl2Cg4OJj4/n6NGjKicUQlRU//rXvzh+/Di///672lEqNYPBQGhoKPPnz5c3/mxZrr2SWq2WgIAANmzYgNFotIw5c0aFYLZBCkkhhE168cUXGTZsGPv372fy5Ml88803/PHHHxw7dowWLVqoHU8IUUE5OjoSEhJCSEiI2lEqtS1btuDu7k7//v3VjiLUVLWq6XZH165dAfK+kRMfD3Fx5Z3MJkghKYSwSY6OjowaNYqpU6fSpk0bXnvtNT788EOWLVuGu7u72vGEEBXYc889x8WLF9m7d6/aUSolvV5PeHi4zEYKk1yzkhqNhjFjxrBh40YMBoNljMxKlgkpJIUQNik7OxutVkuLFi2YPHkyJ06cYOXKlYwePVrtaEKICs7e3p7w8HBCQkKkcVcZ+PTTT6lduzaPP/642lGENfD2Nu2XvKNjx464ODvn7cSemGjaLylKlRSSQgibc+3aNZYvX553DwWmF39CCFEaRo8eTVxcHLt371Y7SqWSlZXF3LlziYiIkNlIYZGrg2vOrORGmZUsc1JICiFsTlBQEElJSdIuXghRZnQ6HXPnziU4OFhmJUvRhx9+SLNmzejevbvaUYQ18fQ0nS15R9u2balatSo//fSTZcytW3D9ugrhKi95FSWEsClfffUV//vf/5gzZ47aUYQQldzw4cPJzMzkyy+/VDtKpZCens4bb7xBRESE2lGENcq1VxIgICCAzZs3k52dbbkzMhLkjZ1SI4WkEMJmpKSkMGXKFNasWYOzs7PacYQQlZxWqyUiIoKQkJB7ltKL4lu7di2dOnWic+fOakcR1sjDA2rXNl+2aNGCOnXq5F1efvs2XLumQrjKyU7tAEV1JTWWPdeOczLxEldS48gy6nHQ2uHnWpXWVerzWK22+Ln6qh1TCGHFwsLC6NmzJ71791Y7ihDCRgwaNIj58+ezfft2RowYoXacCislJYWFCxfy/fffqx1FWLMmTUyF4p1Zx4CAAN544w169+6No6OjaUxkJNSqBbLHtsSsvpCMTU9izZmvOZUYhQLYa3U46exx1jmgoHAtLZ7LKTf5Ovograr4M7HZk/g6e6kdWwhhZY4ePcr69ev5888/1Y4ihLAhGo2GiIgIpk+fztChQ9HpdGpHqpBWrlxJr169aNOmjdpRhDVzcwM/P4iOBqBx48Y0btyYb7/9lqeffto0JjUVrlyBOnVUDFo5WPXS1kOxkbx0cA2nEqNwtXPC3d4ZJ50DWo0WjUaDVqPFSeeAu70zrnZO/JkYxUsH13AoNlLt6EIIK6LX65kwYQKLFi3C11dWLgghylffvn2pWrUqGzduVDtKhXTr1i2WLl1KeHi42lFERdCkSZ7ZxoCAALZt3056erplzNmzIMvNS8xqC8lDsZEsPbkNLRrc7J3v2+JZozGN06Jh6cltpVtMKgrEx8PFi3DhgqnrkxCiwnjvvfdwd3fn2WefVTuKEMIGaTQa5s+fT3h4eN7GH6JI3nnnHQYMGECzXEc8CFEgFxeoW9d86e/vT+tWrfj6668tY9LSzLOW4sFZZSEZm57E8lM7cNDa4aAr3rluDjp7HLR2LD+1g7iMEhZ8qammM2d++AF++w1OnYLTp+GXX0x/lq5PQli96OhoIiIiWLNmjZw5JoRQTc+ePWnQoAHr1q1TO0qFEh8fz7vvvktoaKjaUURF0qQJ5Dria/To0ezYsYPU1FTLmLNnIfc5k6LYrK6QXLt2LU+N/yd6o6HYRWQOB509eqOBNX99VfxP1uvh779h/3746Sc4dw4yMvIMGbZgAbs++8y0vhqIiYmhefPmZGZmPlBeIUTZUBSFqVOn8uKLL9L0rrbgQghR3iIiIoiIiJDXC8WwZMkShg0bRsOGDdWOIioSJyfw9zdf+vn50blzZ3bu3GkZk5EBly+Xf7ZKpNiF5N69e+nVq5f5WlEUVqxYQatWrXB1dcXPz48RI0Zw8uRJAJ577rkiv/uWlZXF3Ih5+D7dFlc7J25fT2DLyPnmj28ZOZ91fWbxSd/Z5ttvb/8XgLO7/uCXNzeZx+bsmbySGnvP1wkPD8+zzj45OZl/Dh6Mp7Mzjk5O1O3YkeEzZ3Iw0rI8VvPUU+Y/zxo2jOD16+HSJQCqV6/OY489xvvvv1+k71MIUT4+//xzzp49y6xZs9SOIoQQdO3alTZt2vDBBx+oHaVCiImJYe3atQQHB6sdRVREjRpBruZW//znP/n6669JTk62jDl/XmYlS6DEM5JBQUEsX76cFStWkJCQwNmzZxk8eHDedchFtHPnTrzr1cDZ1+PeJWgKYFT4R/A/eXbra+Zbt+f7QFo66PNumNVoNCjAnmvHC/x60WfPsmzyZPy9vdnz5Ze0y8ggols3/lq1in8++ii7jhzJ+wnx8QB0adKE5LQ0Dh+3PHZAQABr164t9vcshCgbycnJvPjii6xdu9bS8lsIIVQ2b9483nzzTdLS0tSOYvUWLVrEmDFjqCPdNcWDcHSE+vXNlzVq1KBbt27s2LHDMiYz0zwxJIqvRMd/nDt3jvfee48DBw7QpUsX8/0BAQEP9Hi7du2iSus62GvzaY2dmYGpmryLokBWFmRlQla2qah0sAedHfZaHScT8/7jSE9P568DB7jxxx9kvvEGxwwGMhWFoXcevUGVKrjq9Qzv3Jnh3bqZDi6NvTOreeUK+PgA0Kt1a74+dIhOdx73oYce4uLFi1y+fJl69eo90PcvhCg9c+bM4YknnqBHjx5qRxFCCLMOHTrQrVs3Vq1axSuvvKJ2HKt19epV1q1bx6lTp9SOIiqyhg0hKsq0dQ0YOXIkQUFBPPX001TxunNc4PnzUK8e2D/YljpbVuxCslevXuzduxeAH3/8ET8/vzxF5N2Ks6n85MmTOA5ojIPWFMu9pjejtt5ZzpCVZR6nKApoQINl1rJJ73Y06d3uTlGZBRoNDnZ2XNHHoBiNHPzjD1atWsX1LVvooyhk3umadhVoAtQF7O3sqK/Xw/HjpgIyOdnUGlinQ3n+eYiLg6tXwcGB5j4+7LtwwfS1HByws7OjUaNGHD9+XApJIVT2xx9/sG3bNnkBIoSwSnPnzuXxxx9n4sSJuLu7qx3HKr3xxhu88MIL1KxZU+0ooiJzcIAGDUyNdQBfX1969erF9m3beOGFF0xjsrNNs5JNmqgYtGIq0YxkfHx8qf6AJyUlUd3JLk+BCJimCu90SP3hzS2g0aAoChqNhvZje9F64EP5fI6CPi2VpKw0xlavzvmUFJIzMhgJ5N7ingbUwrTG10OjISYuDq9lyzAqCjWdnYns39/0LkZmpulMmqtXAXC/dYukmzfhu+9MXaEcHXFXFJKOHTP9g3VyuvdmV6K/biFEEWRnZzNhwgSWLFmCt7e32nGEEOIeLVu2pE+fPqxYsYI5c+aoHcfqXLp0iS1bthAZKeeCi1LQoIGpULwziTRixAimTJnC4MGDqVq1qmnMhQumZbAyK1ksJapsfHx8uH79emlloUqVKpChR0HJWxhqAI1pO2ef10dRu119EhISSUxMRKfTEXUpCjc3V9zc3HFydjJ/7pVr1zDYadDFxeEL9AQaA7fv3NIBN0AP1AccFYWunp4kDRnCDzExvHDoUN6AuQrB21lZeLm4mC6MRkhP5/bt23jlvKuRH50u/wIz5+boaPqvLp+lvUKIInnnnXeoVq0ao0ePVjuKEEIUKCwsjEceeYTAwEDT6x9hFhERQWBgoOVFvhAlYW9vWuJ65gxgqjf69u3L1q1bCQwMNI3R603FpJxVWiwlKiR79+7NlClTOHz4MJ06dbr/J9xHmzZtiLwZR5ZRj5POIe8HnXI3y9Dg7e2Nm7sbMTExaDQatFodcXFx6PV63NzccHNzo0ad2hivxJFtb09WdjZOgA7wunPTAt2BjUA2oNPr+ePQIVxdXIg0GsnOzubCpUu4ODvj5OSEo6srzndmQv+Ki6NtrsNO9QYD569fp22uTb33MBhMZ1PmPsMmP/b29y82HR3znI8jhICoqCgWLVrEwYMH5cxIIYRVa9KkCU899RTLli0jIiJC7ThW4+zZs3z55ZecO3dO7SiiMqlfHy5eNG+VGzp0KJMmTWLosGHUqF7dNObiRdM4adBXZCUqJBs3bkxgYCDPPPMMH3zwAd26dcNoNPL5558TFRXFa6+9lmd8VFQU9evX59KlS/jnOtslx4ABAzi47A1qjeiM092Tcg4OpqWluV4bOtg74OfnR2JCIrdu3cLXtyqOjo6kpKTw38mrqfd0e/rUqstTEyeyY8cOEmNj8+y1NAIPAd8B7wHjgcdatiQ5O5ud0dEowM3YWDLT00lLS+NyZiaJej3u7u58mZrKuIwMPvjgA7y9vbmWkUFNT090WVmkpafj4uz84H+x2dmm2+3bhY/LKSpzF5h333L+3oSo5BRFITAwkBkzZsh5Y0KICiEkJISOHTsSFBQks293zJ07l+nTp+OV0whFiNJgZweNG8Od3gkeHh48+eSTbNm8maCgINMYg8HUeKdlSxWDViwl3rS3YsUKVqxYwZQpU7h06RJVqlShe/fuhIaG3jM2OjqaevXqUbt27Xwfa9CgQUwLepGMuGTcajjdO6Og0bA7YjMarZacDq612zWgz+ujcHF1ISYmBkdHR7y9vNGnZ1G3QxPanMrm6+++JjU1lRr165N47hw+RiM5h4U4AK8D24FwYMaBA1S1t6eTpyefP/wwXapXtxRifn5k29vz8/nzVN2zhyGPP05MRgYJCQlsOniQBjodERERxMfHo9Vq8fb2xtvbGx8fH/OfvX188Mn5s7c3Dg53zbwWR2am6XbrVsFjNJqCi8zcN1kTLiq4zz77jL///psZM2aoHUUIIYrE39+fUaNGsXjxYhYvXqx2HNX9+eef/PDDD6xZs0btKKIyqlfPtHw1IwOAp59+mokTJ3L16lVLbRIVZVoG6+SkXs4KRKMo+RypUYBOnTophw8ffuAvNn/+fHx9fZk4cWKBY95//30+3vtf6r3wKG7295nVMxjvzN5lgcGIohiJi4/n6vGL3DgcxaRZ/0cwLQBTG+n9+/fzy08/0fDGDWoajfc8nLurK0/26mXq1prz96LVmv4xOTubujk5OjJs2zbGt2vHgMGDwcWFm0lJ9Hz9dY698w5ODg4oikJaWhoJCQnmW3x8fJ7/JiQkkJiYiJOT071F5l3FppeXF3Zl3agn5/u83x5OaRgkrFBSUhItW7bks88+o1u3bmrHEcWg0WiOKIpS8r0RNqykz81CXVevXqV169acOnVK1Q6l7du356OPPqJ9+/aqZRg2bBgPP/ywHItSTAaDAQcHBwwGg9pRrF9UFJw8ab7cunUrf//9d95/c/7+0Lp1uUezJkV9bi7XQrKoYtOTeOngGrRocNAVcaYsV1F5K/U28YkJDNwdx5RR4+45jPzKlSvs/PBDbh85ggNgj2nvZJ0aNRjUr59pli8uDtLT836NOnXA3d10c3KCjh1LVFgZjUZu375daLGZkJDArVu38PDwuGdGM89Mp7c3Hh4eaMt636Sd3f33bzo5yf5NUa4mTZqERqNh9erVakcRxSSFZMlJIVnxvfzyy+j1elasWKFaBrULyaNHjzJw4EDOnz+PS04zQ1EkUkgWg9EIP/1kfo2fnp7OhAkTmD9/vuX4Pq0WHnsMbPjfYYUuJAEOxUay9OQ2HLR2RS8mgSxDNln6bCY7tWH/3Hf5+/RpXn75ZZrkczbM7aQkNixYQHxkJAajEXs7Ozp26ECLFi2oVasW2tu3ISbGVFgqCvj5mdZP6/WmJaNdu4Krq+kfWhnuQzQYDCQlJRGfkEDCXUVm7qIzPT0dLy+vewrMu4tOV1fXsm9E4uBQcJGZ+z7ZvylK6LfffmPEiBGcOnVK9tRUQFJIlpwUkhXfzZs3ad68OceOHaNurkZ+5UntQnLgwIH069ePqVOnqvL1KzIpJIvp779NZ8bfsWPHDs6cOcPs2bMtY+rWhbZtVQhnHYr63Gy16xQ7+zZlRuvhLD+1g5TsdFzt8tkzmYuiKKTqM7DT6pjRdgSdfZvSc/dTfP7pp/zfSy/xwoABjB0yJM8SUXcvLyYtWsTp33/ny3ffpWPLltg7OPDlV1+RmZlJi+bNadGsGbU9PdGkp0PuM+kcHaFaNdOf7ezAxwe8vEwFUs7exYyMvLdiFO256XQ6fHx88PHxMW0ULkBWVhaJiYn3zGhGR0ebi874hASMBkO+M5q57/Px8blnJrdYsrJMt+Tkgsfk7N90dDQtHS6sYZAQ+cjKymLChAm8/fbbUkQKISqsatWqMWHCBN544w3Wrl2rdpxyd+DAAU6ePMn27dvVjiJsgZ+fqanOnVMUBgwYwM6dOzl//jyNGjUyjYmOhkaNTBNGokBWOyOZIzY9ibVnvubPxCgUwF6rw0FrhwYNCgpZRj3ZRgMaoFUVfyY1H0hVJ888j3H9+nXGjx9P2o0bfPTGGzRwcoKUlDxjjHo9XLuGNiYGFIWbsbH8dfo0p0+fJisri1bNmtG0VStq16plKmjd3KBFi3sDOzlBrVqmm5eXZcZNUUyFVWamaTo9v0IzI8N0fxlLS08nMZ8ZzbtnPO3t7fOd0cz95ypVqmBf1o16tNqiNQyS/Zs2580332T//v189dVXctxHBSUzkiUnM5KVQ0JCAk2aNOHgwYOqdJ5Wc0ayT58+jBo1in/961/l/rUrA5mRfABXr8LRo+bLr7/+msOHDxMWFmYZU7s2dOigQjj1VfilrXe7khrLnmvHOZl4iSupcWQb9dhr7fBzrUrrKvV5rFZb/Fx9C/x8RVF4//33CQ4OJiQkhKnjxqG9cQOuXct7rmNaGly6lOe+m7GxnD51itOnT6PX62nevDmNevbE/5FHCn/x6uwMNWuaisqiHjZsNJoKzvyKzNy37OyiPd4DUhSFlJSUe4rMu4vNpKQkXF1d853RzD3T6enpiU5395kupUynu3+zICcn0zhR4Z0/f56uXbty+PDhfI8TEhWDFJIlJ4Vk5TF37lwuXrzIJ598Uu5fW61Ccu/evYwfP54zZ86U/RvTlZQUkg9AUeDnn81H7WVnZzNx4kRmzpxJs2bNLON69TL1RrExla6QLC3nz59n3LhxuLi48PHHH1OnTh3T8str1yxFpaLAzZtw5YppT+QdiqJw8+ZNTkdG8vm5c6To9XTv3p1HunencaNG9y8qa9UyFZZFLSoLYzAUPKuZ+1bGv1QMBgPJycn3zGjevbw2JSUFT0/PezrS3l1wuru7l/3Mkr39/YtNR0dpGGTFFEWhb9++PPHEE9Ldr4KTQrLkKsNzszC5desWjRs35ueff6Z58+bl+rXVKCQVRaFHjx5MmDCBsWPHltvXrWykkHxA169Drt+d33//Pb/88gvz58+3jKlZEzrZ3lNUhd8jWVYaNWrEL7/8wuLFi+nYsSNvv/02o0ePRtOsGTRrZikq3dxMS1P//hsSEwHQaDRUr1OH6j170svdnaioKPbv38/SJUswGAymovKRR2iUX1GZnm46u+bCBUtRmbP89UHodKYmP/frKKXX57989u7ltfkch1K0GDqqVKlClSpVCl2Kk52dbWoYdFeB+eeff+a5LzMz8777N719fHBxvs/RMIXJzjbd7rwLVaDcy2nzW1rr5iazmyrZsGEDsbGxTJ8+Xe0oQghRajw9PZkxYwbh4eFs2bJF7Thl7vvvvycuLo7Ro0erHUXYoho1wMPD3M/j8ccfZ9u2bZw4cYI2bdqYxly/bjqv3dOzkAeyXTY3I5nbsWPHGDNmDC1btmT16tWmZja53bplKiqjoiA21lQ0uLndM1OlKApRUVHs27ePffv2YTAaebR7d7p3706DBg0Kn2FKlGJpAAAgAElEQVRzcbEsf1WzWcjdy2nzm+3M6V5bhjIzM/PtSHv38SharTb/Wc1cZ3F6V6mCQ1k26unWzdRk6Q6j0ciYMWM4ceIEgwYNYsGCBWX3tW1YfHw8LVu25IsvvqBLly5qxxElJDOSJVfZnpttXWpqKo0aNeK7776zvJgtB+U9I6koCl26dGHmzJmMGDGiXL5mZSUzkiUQEwN//GG+3LNnD99++y0LFy60vH6vXh1s7PWGzEgWQfv27Tly5Ahz5syhbdu2fPDBB/Tv398ywNPTdGve3FJUXrtm2keZi0ajoX79+tSvX58xY8Zw6dIl9u3bx6JFi1AUhe6FFZVpaZaZShcXy0xleb/z4eBgunl4FDxGUSwdaQtrGJSV9cAxHB0dqVmzZqGHMiuKQlpa2j1FZkxMDKdPnzbfl5iYiJOTU75FZu7ltVWqVHmw/ZtOTvfkGjduHAcPHmTPnj2A6Zd7nseOjze9MVHQ0lqZ4byvmTNnMnLkSCkihRCVkqurK7NmzSI0NJTPP/9c7Thl5osvviArK4thw4apHUXYsurVTVvO7qw+7NGjB5999hlHjx6lY8eOpjExMaaPl8bWtErGpgtJACcnJ5YuXcqgQYN47rnn6N+/P2+99RZubm55B+YuKpOSTFPdBRSVDRo0oEGDBowdO5aLFy+yb98+Fi5ciFar5ZFHHqF79+7Ur18//6Ly/HnTTc2isiAajaXgKSyT0Xj//ZuZmQ/cMEij0eDq6oqrq6tpj2uBMYzcvn37nhnNqEuXOHrkiPn+W7du4eHhkbfYzGd5rYeHB9rcs9F3zXbqdDr69evH9evXqV27dv6hkpJM/24KYmd3//2bTk42u3/z559/5vvvv+fUqVNqRxFCiDIzadIklixZwqFDh+jcubPacUqd0WgkNDSUiIiIvM+rQqihaVP4/XfA9Fpu9OjRbNiwgQ4dOlheq0dGms6PF3nYfCGZo1evXhw/fpygoCDat2/Pf/7zHx5++OH8B3t5mW45RWXOTGV6ep5hGo2Ghg0b0rBhQ8aNG8eFCxfYv38/by5YgE6rNc9U+vv7F15UurpaGvVYS1FZGK3WtA/0fvsY9frCC86cmc8H3L+p1Wrx9PTE09OT+vXrFzjOYDCY9m/e1ZH2r7/+yjPrmZ6ejpeXFz4+PlT19WXmk0+S36LlS5cuUaNGjfy+0D3/Ru6h15uOprnreJp7ODgUXGTmvq8SHYmRmZnJxIkTWbFiBR6FzZwLIUQF5+TkZO4y/+2336odp9Rt27YNR0dHBg0apHYUIcDX17RVKT4egG7durF161YOHjxI15ziMTbW9PG7t8HZOCkkc/H09GTdunXs2LGDIUOG8MILLxAaGlr4PrucorJFi/sWlY0aNaJRo0aMGzeO8+fPs3//ft544w3s7OzMjXryLSpTU+HcOdMtp6isVavwZagVgZ2d6Xa/w16zs/MvMu++7wH3b+p0Onx8fEx7ZBs3LnBcVlYWiYmJxMfHk2IwYMjOxs7R8Z5xMTExNG3a9J779dnZXDt3DrubN/Hx8cExn88tsqws0+3OBvF8aTT3bxjk5HTPzKq1WrhwIc2aNWPIkCFqRxFCiDL3/PPPs2jRIvbt20f37t3VjlNq9Ho9oaGhrFixQs7/FdajaVP47TfANBExZswYPv30U7p06WKZNT9zBh55RMWQ1kcKyXwMGTKEhx9+mH/961907dqVTz/9lJYtW97/E3MXlYmJpoLy+vV8i8rGjRvTuHFjnn32Wc6dP8++ffuYP38+Dg4O5qKyXr16tlNUFsbe3nQr7BwfRTEVVvfbv5mZ+cAxHBwcqF69OtWrVzf9fy5gOc7Nmzfp2bMnQJ7/f3q9nq+3b+fIDz+QEB+Pg4NDvg2Dcp/F6eXl9eDnaimK5fsujFZbcJGZ+2an3q+LyMhI3n33XY4dO6ZaBiGEKE8ODg6EhoYSHBzMnj17Kk3RtXHjRnx9ffnHP/6hdhQhLHx8TDOTsbEAdO7cmS1btrB//34effRR05iEBNPHfQs+t97W2HTX1vtRFIUPP/yQ2bNnM3v2bKZPn178tfyKknemspAX9YqicO7cOXP3V0dHR9Py10cfpV7duoV/HVspKkvKaLy3Q21+t/vt36xRA9q1MxW4dxkwYAArV66kQYMGeT+g15sOv01LQ1EUUlJSLPs37yyrvXt5bVJSEq6urvkWmbn3b3p6ej5Yw6Di0OkKLzRzitFSzqEoCo8//jiDBw8mKCioVB9bqE+6tpacrT032xK9Xk+LFi1YvXo1vXv3LtOvVR5dW7Ozs2nWrBkfffSR+Q1XUXLStbWUJCXBr7+aL48dO8b777/PypUrLa+xvLwgp7CsxIr63CyFZBFcvHiRcePGYW9vz7p166hXr96DPZCimGYqcxr13KeoPHv2LPv27WP//v04OzubG/XUvV9R6eZmKSoLm8UTBTMYCt+/6eMDjRrlKZoWLlzIxx9/zLlz5+jatSuzZ8+mX79+lhlFoxF27SrWnk+DwUBycnKeYjO/o1FSUlLw9PS8pyPt3QWnu7t72b+rbW9//2LT0bHIDYM+/vhj3nvvPQ4ePFj2xbIod1JIlpytPjfbik2bNrFixQp+++23Mv39XR6F5AcffMDWrVvZvXt3mX0NWySFZCn64w9Tl1ZMr8Vnz55N3759efzxxy1jOnc2TShUYlJIljKDwcCSJUtYunQpb731FuPGjSvZL/ScojJn+WshRaXRaMxTVLq4utL9TlFZWNdSQIrKcqTX67l27Ro3btzg/Pnz1K9fn65du1r+nej1pkKyDGRnZ5saBhVw9mbOLTMz855iM7+zOF3u1yipNOS3f9PZOc/9sbdu0ap1a3bt2kWHDh3KPpMod1JIlpwtPzfbAqPRSJs2bVi0aBFPPvlkmX2dsi4kMzIyaNKkCVu3brU0MBGlQgrJUpScbFo9dseff/7JO8uXs2b1auxytvh4eECPHpWqoeHdpJAsI8ePH2fs2LE0atSItWvX4lsa66SLWVRGRkayf/9+9u3bh5ubm7n7q5+fX+Ffx93d0v1VisryZzRCXFzBzYIyMx+4YVBRZWZm5ltg5r4vPj4erVZ7z2zm3WdxelepUngjqlKw7O23cfX2ZuL06YXv43zQfaRCdVJIlpw8N1d+//3vf5k/fz5Hjhwps1nJsi4k/7+9+w6PqkofOP6909IbSYCEQEKvAUIIUoJEBKQsKuCKylJsgGUF1rKiiIhgryAuoii68lOwsAoCLoKwhiYiBAi9ExLSSEL6tPv7Y8ik907ez/PMY2bmzr1nOIn3vvec875Lly7l559/ZsOGDbWy/6ZMAskatn9/oVJt8+fPZ+DAgYwcOTJ/m9BQ2zX1DUoCyVqUm5vLCy+8wJdffsmKFSv4y1/+UnM7LxhUxsaWmRzGarVy/PhxIiMj2bVrF25ubvZEPRUOKv39baOWov6pqq2/y0sYZDTWcjNUsrKySgw4CwabKSkpODk5lTiiWbAWp6enZ5WmpB48eJAlS5awbNkynMobIdVoyk8WVAvrN0X1SSBZfXJuvvGpqkpoaCjz5s1j/PjxtXKM2gwks7Ky6NChAxs2bJDZJbVAAskalpEB27fbb+6fOHGC119/neXLl+ffQHd1hYiIG3ZUUgLJOvDbb78xdepUbr31Vt555x3canqUT1VtGaLyRiorGFTu3LkTDw8Pe1DZqlWrso/j7m4bpZSgsnGwWstev5k3ullewqBqN8NKenp6iUFmweAzLS0Nd3f3QkFmSaOd7u7u9mRWubm5PPHEEzz40EP0q8li3Dpd+es3HR0rvH5TVJ8EktUn5+amYePGjTzzzDNERUXVynrx2gwk33rrLfbs2cO3335b4/sWEkjWigMHICbG/nThyy8T0rt34dqnISFQ3sBNIyWBZB1JT09nzpw5/Prrr3z++ee1V+upkkHlsWPH7EGlp6enffqrf3nD8O7u+SOV5dV3FA2b2Vx2wJk38lmJ5D9VYbFYbOs3y0gWdPXqVbKzs/H09MTb25uMjAwsFgsjRowoFnC6uLjUfsIgg6H8YNPBoVHciYzJTOTX2CgOp5wjJjMJo9WMQaMjwMWHYK+23OLfiwCX+ktlLoFk9cm5uWlQVZVBgwbx+OOPc99999X4/msrkExPT6dDhw5s27atYqXURKVJIFkLMjPh11/to5Jnzpxh4cKFrFixIr8OuLMz3HLLDXnzWQLJOvbjjz+ybds2Xn/99RILzVssFjZs2EBsbCyPPPJI9Q6mqpCcnB9UljHV0WKx5AeVu3bh3awZgwYNYtCgQRJUChuTqfQgs2AgWsvrN41GI1dTUjh29Cj/Wr6c8ePGkZOTUyjoTL56FavFUuKIZtFanCX9HdYoRSk5YVDRRy2vIy1NYnYqy4//RHTKeVRAr9Fi0OhQUFBRMVrNmKwWFKCHVxAzuozB18mzztspgWT1ybm56di6dSuPPPIIR48ezU/8UUNqK5BctGgRx48f58svv6zR/Yp8EkjWkqgouHjR/vS1116jU6dOhaeX9+oF5VVTaIQkkKwHVqu11DqT6enp/Pbbb7z77rsArF69mubNm1f/oJUMKo8ePUrkzp3suh5U5k1/9fPzK/s4ElQ2bapauP5maSOdZYyUV4TVamXu3LncPGQIY0aPLnGbrOzsQrU2S6vFaTAYygw489Zv6ms7UY9GYwsyi2SkLfaowYvCfYkneD96HWarBRedY5kjuKqqkmnOQafRMqv7OMJ8O9dYOypCAsnqk3Nz05FXV3fKlCncf//9Nbrv2ggkU1JS6NSpE7t27aJjx441tl9RmASStSQ7G7Zts8/cunjxIs8//zwfrViRn93eyQmGDr3hRiUlkGzAnnvuOXx9fZkzZ07N7riSQWV0dDSRkZHs3r0bHx8fW1AZHk7LFi3KPo6HR372VwkqRUFWa+GAs7RHKes3N2/ezNatW3n99ddLvSlTEaqqkpGRUWwabdHptampqbi6upY4olnwZ3d399qvYanVlp8syMGh3IRB+xJP8PbhbzFodBi0FQ+SjRYTRquZJ4PvqtNgUgLJ6pNzc9MSGRnJ3/72N06ePFmjmbNrI5B84YUXiI2NZeXKlTW2T1GcBJK16MgROHfO/vSdd96hVatWTJw4MX+bHj2gbdt6aFztqei5uWbnRYgSmc1mdDodFosFrVZLfHw8lQngK0xRwMfH9ggOtpWaiI2FK1eKBZVarZaePXvSs2dPZsyYwZEjR4iMjOSpJ5+kefPm9pHKFiUFlWlptsexY/lBpb+/ba64aNoKZk8ti8VSbFQz8dIl3vy//2PFkiVo3Nxsr1fxpKgoCm5ubri5uREYGFhGMyxcu3at8IhmcjKnTp0qNNqZkZGBh4dHofInJdXidHV1rfr6TYvFtiYjM7Ps7fT6UgPNRHJ5/+j3GJTKBZGAffv3o9fxXv9H8HH0KPcziqJw6tQpOnToUKljCSGqLjw8nK5du7Jy5crqL5WpRYmJiXz44Yfs37+/vpsiRNV16AAXLthHJe+55x6efvppxowZg2tegspTp2zTW5tgZngZkaxDp0+f5scff2THjh288MIL9O1bRzfhrdbCI5VlZPO0WCz2oHLXrl20aNnSlqhn0KDyp+J6euZnf5WgUlTSvffeS2BgIK+99lr+i2Zz2cmC8n6u5YRBJpPJljCo4OhmCdNrc3NziwWZxabXenvnT4kBgh56iPjUVLQaDa6Ojozs04cPZszAtbySJyV4maNEk4Yan8nah5dw/4/z0eh1oGg4+csBfnvrO8IeHkXPv91qTxT01YSFRMy7D78QWzCYYcqmh1cQ80ImlXu8mggkZUSy+uTc3PTs27ePcePGcerUqfLLI1VQTY9IPv3002RlZbFs2bIa2Z8onYxI1rKjR+HMGfvTpUuX4unpyeTJk/O36dYN2revh8bVDhmRbAAyMjL44YcfOHHiBAcPHiQ2NpaQkBDmz59PaGho3TVEowFfX9sjOLjMoFKr1dKrVy969erFzJkzOXz4MJGRkcyZM4eWeUFleDi+viVkeUxNtT2OHYPhw8sflRLius2bN/P7778Xn/6k09lK0pRXlqbodNqSkgXl5lY5YZBer8fX17fk3/sCcnJyiq/dTE7mzJkzhZ5rtFp7sHktLY3HwsK4uWtXVIOBZ77/nuc//5w3H3igUtPWLpFFNGm4oCMj70WLFTDbfjaZcHBz4tDX2+kyrCcGT3dwKv436qJz5EjKeWIyE+s1m6sQonRhYWH07duXjz76iNmzZ9d3c4qJi4tj5cqVHD58uL6bIkT1degA58/bZ0lNnDiR2bNnc/vtt+PhcX32zunTEBhYo/kOGoOm9W3rkNVq5Y033mDRokU8++yzLF++3H4xWq+KBpUFp7+WEFT27t2b3r17FwoqZ8+ejb+/vz37a7Hv5Opa4h9Senp69ab+iRtSZmYmjzzyCMuXL8e5qiPZBoPt4e5e+jaqWjywLGmks4y1xeVxdHTE39+/zIzIqqqSlZVlH9Fc+eabODs5ceXKFZKTk/HIzeX7LVu4+PPPaB0dOQJcys3FQadjaPv2TA0Px9fbG08vL77YtYvVkZFkG4106tMJ3+nhuLq48dPcVQD8+97XARi58G8AeAb4YHB15Mh/9tDn3iHF2mYxmtm3fANnfj3Iz9p3mHrv5EKZqN98803eeecdFEVh0aJFhT6bm5vL888/z9q1a8nNzWXcuHG8++67NTZaIoQobOHChYwYMYKHHnoof4pdA/Hqq68ybdq08utYC9EYGAzQrp1tCivQvHlzbr75Zr77/nseyEt6ZTTa1lI2saRSEkjWEo1Gw8KFC3Fzc+OHH35g0KBBjBkzxv5+Tk4OJpMJNze3+mwkNG9ue1itZQaVOp2OkJAQQkJCeOSRRzh06BCRkZF88803+Pv7Ex4ezsCBA21Bpb9/sfp6VquVb7/9lnfeeYcuXbrw2GOPERERUYdfVjRUCxcuZMCAAdx22221eyBFqdj6Tau17PqbeQ+zuYrNUHBxccHFxYU2bdrg6OTEzTffzLDevYlJSuL/XnqJ8eHhvPvgg9z35pu0TkvjozFjuBAXxz/XrcMhMpIuzs7879w59l69yk2qio+7O78mxHF2yXr6PjSMQf+8k/8+/QXjVz6OwcGATqsj7XIyAKGTbmHj81/Q/S/9cChyT+fgv38h4egFxnz8BC2dm/H7S9+yaNEiXn75ZTZv3sxbb73F1q1badu2LQ8//HChzz777LOcOXOGgwcPotfrue+++1i4cCGvvvpqlf6dhBBl69mzJxEREXzwwQc8++yz9d0cu4sXL7J69WqOHTtW300Roua0b28blbx+ffzXv/6Vxx9/nDvvuINmzZrZtjlzBoKCbLkMmggJJGvZ008/zcCBA5k/fz7Ozs7ccsstqKrK//3f//Hyyy+zatUqhgwpPjJQ5yoZVPbp04c+ffpgNpuJiooiMjKSNWvWEBAQwILISJyLLDg2m82MGDGCW265hZ07d/LOO+/Qpk0b2rVrV5ffUjQwUVFRfPbZZw1r+pNGY0vnXd5ImtlcsYCzAus373zlFRRFISM7m6E9e/LSvfeiqirf793Lwffeo9v1GlXZrq589b//sfqFF7h13jxeu+suZtx2G6mpqdyXHsmWOZ+hn6EnB9sU3rTUNKxYMZvNJCQkkJObAx46WvVuR9R3O+k3bRgUmO17ZsufDJg1DndvT65acnnxxReZMWMGL7/8MmvXruX++++nR48eACxYsICvvvoKsI2yrlixgkOHDtlPqM899xz33XefBJJC1KIFCxYwePBgHnnkkfwpdvVs0aJFzJgxo2ZKnAnRUOj1tlHJEycA8Pb2ZtiwYXzzzTfMmDHDto3JZAsmu3Spx4bWLQkk68CgQYPYunUrWVlZgG1E4oEHHqBFixbcd9993HvvvSxatAjHhrKmsGhQmZiYH1QWGYXR6XSEhoYSGhqKyWTiZFwc+hJKghgMBvsUl6CgIN566y0uX76cH0haLLasWP7+srayibBYLMyYMYPFixeXnB24odPpbI/ySuCYTGUnDFIU/vP88wzr1YsdR45w31tvkXTtGrkmEyazmcACF2OBvr5cTraNLMZevUqgry9arRZvb2+c3bxQLVYMqhYvTy8A/P390WhtZVTMZ9K4aojBw9OTPpMi+PHJTwi+o3+hpmYlpeHa0gsFBZPVTGBgILGxsbbjxcYWWttdMBtuYmIiWVlZhd5XVVUSPwhRy7p06cLo0aN57733ePHFF+u7OZw5c4bvv/+ekydP1ndThKh57drZpq9eXwIzYcIEHn30UcaPH5+/zOvcOdt2NViapyG7sapnNnBF13+NGTOGqKgozp8/T1hYGAcPHqynlpVBo4EWLSAkBG67Dfr1g4CAEtdA6vV6ug8fXmKBd3OBAPS3336jdevW+XcrVdWW+Cc6GrZsgZ07bX+IOTm19rVE/ctbN/zggw/Wd1Nql14Pbm62dcmtW9vWTwQHQ1gYhIfbbpzcdBOMGMGQRx9l2uTJPPX99/iEhaHX6bhgsdjK7Dg4cDExkVbe3gD4N2vGhcRE+2FMiekoWg1Onq5Q0jJkRUGjKOi0OjwDfAga0JWD3+0stK2zjwcZV1JQUdFrdFy8eNG+3tPPz49Lly7Zt7148aL9Zx8fH5ycnIiOjiY1NZXU1FTS0tLIyMhACFG75s+fz9KlS0m+fpOpPi1cuJC///3v+VP9hLiR6HS2xDvXeXp6MmrUKNasWZO/jdlsS7xTkNVa5WR/DZ0EkvXMx8eHb775hmeeeYYRI0bw6quvNty7+EWDyrAwaNWqcFAZEFCsjo7FYkF3fZvXXnuNV199lYiICDp3vl703GyGmJj8D1y9aisAK0HlDevy5cssWLCAjz76CI1G/jeEooCDA3h4MPv559kSGckRo5G7J07k+TVrSA8J4ULnzryzdSt/e+QRCA/n3ilTeHfzZs45OZHh7c2p1bsIHNwNjU6Lk4cLikYh/UpKqYcMuW8Ip7YcxJiRbX+t3a0hHPxiC9euptLM5MDChQv5299siXruvvtuVq1axdGjR8nKyuKll16yf06j0fDwww8zZ84cEhISAFsf//zzz7X0DyaEyNO+fXsmTJjAW2+9Va/tOHbsGJs2bWqQWWSFqDFBQbbz9XXjxo1j9+7d9tk7gG0tZU6OrUrC77/D5s2wcSPs2mWrw34DkSu4BkBRFCZPnswff/zBli1buPnmmzlToF5Ng6TRQMuW0KdPflDZvn2JQ/larZa9e/cyfPhwjhw5wuLFi5kzZ479fbPFQsr1TFjFSFB5Q5o1axYzZ86kW7du9d2UBsfX15cpU6awcOFCli5diouLC+3atSM8PJz77ruPB2bOBC8vHpgzh8n338/N999P2zvuwKdZc3rPvgM83NE196HX325lw7Or+Pe9b5BwLgF0elvAajCAkyNuHdvQ/rZQzNn5WWp7TxmGT5fW/PTg+3z5t8X06dOHefPmATBq1Chmz57N0KFD6dChA0OHDi3U7tdff50OHTrQv39/3N3dGTZsGCeuryURQtSuefPmsWLFCuLj4+utDQsWLODJJ59sMGs1hagVWm2hzKyurq6MHTuWr7/+On+btDT49ltb4Bgfb1u+lVfTPTISrl2rh4bXDkWtxFCrFD2ufVarlSVLlrB48WIWL17Mww8/3LjKZahqoYytZrOZOXPm8MMPP/Dqq68yaVLhIueq1cqxX37h5fHjadu2LeHh4QwYOBAvT8+yj+PtbVtP6edX6M6QaPjWr1/Pk08+yaFDhxrOuuAbwKWMRJ7+fQUuOsdq/T9DVVUyzTm8ddP0OqkjWdGix6J0cm4WAE888QRarZZ33323Sp8PCQnh008/JSQkpNKfjYqKYuTIkZw+fRqX8taNixpnsVgwGAwNd0bbjcZqha1b7QMbWVlZTJ8+nVdfeIHWYAskFQV69iz5GtXbGwYOrNMmV1ZFz80yItnAaDQaZs+ezY4dO/joo48YO3YsV65cqe9mVVyRC1hFUQgODqZjx47861//YsaMGYUydCoWC93c3Pj888+5/fbbOXr0KI/MnMnzzz/Ppk2bSE1NLfk4yclw+DD897+2Oz7nz9sSl4gGLSMjg8cff5zly5dLEFnDWrv60t0riExz9UbsM8059PAKqpMgUghRc+bOncvnn3/O5cuX6/zYL774Iv/85z8liBRNg0YDnTrZnzoD9w8ezN5PP82fuqqqtkSVJUlJqVBG98ZAAskGqlu3buzevZuQkBB69+7Nd999V99NqhKtVsv06dPZunUra9eupUuXLpw5cwb7SLiiQHIyBoOB/v3789RTT/H5558zduxYoqOjmTlzJvPmzWPz5s2klTavPC+o3LIFdu+2ZX+VoLJBmj9/PhEREcWmRYqaMbPLGHQaLUaLqfyNS2C0mNBptMzs+pcabpkQorb5+fnx0EMPsXjx4jo97r59+/jjjz+YOXNmnR5XiHrVurXtGvbMGThyhMHdu3Pp4kWuFJxenpRkm9p69GjhUnpWa5VrUTc0MrW1EdizZw9Tpkyhf//+LF26tNz1BytXrqRPnz5Vmp5Sp1QVLl+GAwdK3SQ3N5f9+/ezc+dO9u/fT4cOHWzTXwcMKPvfQVEKT39tImmYG7L9+/czevRooqOj8fHxqe/m3LD2JZ7g7cPfYtDoMGgrXhTZaDFhtJp5Mvguwnw712ILC5OprdUn52aRJykpic6dO/PHH3/Qtm3bSn22qlNbR44cyZ133imBZD2Sqa11LDvbVk/ywAE4e9b+8t69ezl//jwTJ060bZOUZEtI6ednS1RZsKrBiBENemmWTG29gfTv358DBw7g5uZGz5492bZtW6nb7t27l5kzZzJp0iSsDX3YXFFsf1yhobb/Fsn2CuDg4MDAgQN5+umn+fzzzxk9ejSHDh1i+vTpvPDCC/z883i73ZgAACAASURBVM9cK2nRsqra/oAPHbJNf80bqTQai28rap3ZbGb69Om88cYbEkTWsjDfzjwZfBdWVDJM2ZR3s1BVbdtZUes8iBRC1CwfHx8effRRXn755To5XmRkJCdOnOCBBx6ok+MJUe8SEmDHDrh0yTZgUWCZTp/QUK7GxpJ48KDt/exsyMiwXXsWPRffIOVAihcDFA2Si4sLy5YtY+zYsUyZMoW//vWvvPLKKzg5Odm3yczMZPz48ZjNZi5evMjatWu555576rHVFaDV2kYN/f1tw/wJCbY55fHxxeaP5wWVAwcOJDc3lz/++IPIyEg+/fRTOnfuTHh4uD1jZCF5QWVSkm0KrI+P7XgtW8pIZR354IMP8PDwYMqUKfXdlCYhzLcz7940k4+O/8SRlPOogF6jxaDRoaCgomK0mjFZLShAD68gZnb9Cz6Okm1RiMbuySefpGPHjpw8eZJOBdZx1TRVVZk3bx7z58/HIOdS0RQYjbB/f/60VEWxlcE7cwZyc9EnJzO8Sxei9+0jYsgQ2zaqaluCJYGkaAhGjhxJVFQUjz76KKGhoXz55Zf06dMHsGVsu3r1KmALKmfNmsW4ceNwaMBD54XodJUKKgcNGsSgQYPIycmxB5UrV66kS5cu9qDSzc2t8DFUFRITbY9DhySorAMXL15k0aJF7Nq1q3FlIG7kfJ08mRcyiZjMRH6NjeJwyjliMpMwWc3oNToCXHwI9mrLLf69JLGOEDcQT09PZs+ezUsvvcTq1atr7Tjbtm0jNjaWyZMn19oxhGhQYmKKr210draVqktKAqBtUBDHjh8nITGR5r7Xz63p6ZCVVXgqqwSSor54e3uzZs0avvrqK0aOHMkTTzxBSEgIX331FTkFaixmZGSwdOlSnnrqqXpsbRUVDSrj421BZUJCsaDS0dGR8PBwwsPDyc7O5o/9+4n87Tc++eQTunbtag8qXV1dCx+jtKDSz6/wPHZRZaqq8vjjjzNr1qxavTMuShfg4svkjsPquxlCiDr0xBNP0KFDB44cOUKPHj1qfP95o5EvvfQSOp1cSoomomgix/R0OH680ECEVqulR7du/HH0KKNuvjn/Bvrly+Dllf9ZCSRFfbv33nsZPHgwkydPZsGCBcUWWWdlZfHSSy/x4IMP4lXwl7ex0elsUwdatSo3qHRycmJweDiD84LK6yOVH3/8sS2oHDyY/jfdVH5Q6eubP1IpQWWVrVu3jlOnTvHNN9/Ud1OEEKLJcHNz4+mnn+bFF18slvX98OHDrFy5khYtWhRKrHPt2jV27txJfMGsk4DBYGDIkCFoC+Qx2LhxIxkZGbakIqJO7d27l5SUlEKvWSwWVFVl8+bNxbb39vYmLCysrpp3Yyt67ejmBp0726a2JifbA802QUEcOH6c+Ph4WrZsads2NRUyMkjMzua///0v4/r3x/kGKJcjWVtvAGPHjmXTpk0lZutydHRk+vTpvP/++/XQslpWTlBZUFZ2Nvt+/52dO3cSFRVFt27dCA8P56aSgsqCFEWCyipKS0uje/fufPXVVwwePLi+myMaKMnaWn1ybhYlycrKokOHDmzYsIE+ffpgsVhYvXo1Dz/8MEajEYPBUCjPQnp6Os7OzoUCRovFQnZ2NleuXLEnSlNVldDQUObNm8f48ePr/Hs1dS1btuTatWvF1qWmpaUVy2ZvNBrx9vbm0qVLddnEG5fJBNu3Q05O8dcPH7aV+bjuwsWLnDx5kmG33oqiKKT7+LB5/36+/vNPLBYLr+3dS5e+DffUV9Fzs4xINnKrV69m27ZtpaZ8zsnJ4eOPP+Yf//gHgYGBddy6WlZwpNJkyg8qExOLBZXOTk4MGTKEIUOG2IPKyMhIVqxYQfcePQgfNIibbrqpeDFlVbUFqQkJtgK0BddUSlBZpnnz5jFq1CgJIoUQoh44Ozvz3HPP8cILLzB16lSeeuopUlJSMF7PXm40Gu0/58nIyCj0XKfTMXHixELZttetWwfAuHHjavkbiJL885//ZN68eSXW1i76mouLC3Pnzq2rpt349Hro399WCaDgNFe9Hvr0sa2DvHABVJXWrVtzNDqaixcvknT1KtvPniVXVTFYrVicnLDeIKVaZESyEYuJiaFr167F/sdflFar5Y477ig2vQUolojDaDVjaOyJOMoJKgvKysri9+tB5eHDh+nRo4d9pNLZ2bn0Y2g0+SOVLVpIUFnE3r17ufPOO4mOjqZZs2b13RzRgMmIZPXJuVmURFVV1q1bx8SJE9Hr9WRnZ1d6H46OjkRHR9OuXTvANkLZq1cv3njjDUaPHl3TTRYVkJ2djb+/P6mpqeVu6+3tzeXLlxtP0sXGIjcXDh60DTIUdO0aREVBXBy5GRn8vm8fly9fRqMonFNVcoF04KKTE/O2bCF40KD6aH2FyIjkDc5qtTJx4sRCyXVKY7FY2LRpE3/++ac9w2tidirLj/9EdIHSAI5aPU5aAyoqsVnJXMhI4KdLe+nhFcSMLmPwdfKs5W9VQ/R6CAiwPUwmuHIF4uJKHql0diYiIoKIiAgyMzPtQeW/li+nZ3Aw4eHh9OvXr3hQabXagtX4+MJBZcuWtpHSJsxkMjF9+nTefvttCSKFEKKOqarKli1bmDNnDhcuXMBsNmMummkS0DsZMLRwx6l1M1zbNUfn5oCi06GazZjTc8m+kMzgbmG0Cgywf2bNmjW4u7szatSouvxKogAnJyeef3Eer614D8XHucS+yzibAEnZvPD3ZySIrA0ODtCvH5w9C8eO5SfOcXcnx82Nvbt3c2b3btyuv24tMGjnBrjoNVzITSb+8gFOpcVwzZSFyWpBr9Hirnemo0cAQW7Nae3ii4O2YVcUkBHJRur7779nwoQJODg4kFs0i1Qp+vXrx549e/gj6STvR6/DbLXgonMssySDqqpkmnPQabTM6j6ucRcrzwsq80Yqy/jdzwsqf4uM5MiRI/Tq2ZPw8HDC+vXDucCakmI0GmjePH+ksgkGlW+++Sa//PILmzdvlnIfolwyIll9cm4Wef73v/8xe/ZsTp48SWZmZvENNAoewa1pOaIHHl38MeeaULQaAFSrFVRAAUWjQVEUggID0ei0dPFozeiAMCYPuZPlH/6LoUOH1u0XE5itFg4mn2H9xT0cTbnAhbPnyLs1XrTvADSKQlC7ILp6BjI2sD+9m7VHp9GWun9RRampsH8/uSkprF+/no1r19LRbMZkNuMGtAA0wHmNQlxway6P6EFap5a4+/mjc3IEbH2VV+M5L+jUKRrMqpUuHq3rpf8qem6WQLKRysrKYseOHZw6dYojR45w5MgRzp49S1JSEo6Ojuh0OnJzcwuNWGq1Wt78dgV73eMwaHQYtBWfjmm0mDBazTwZfFfjDibzVCKozMjIsI9URkdH01OCylKdO3eOsLAw9u7dS/v27eu7OaIRkECy+uTcLMC25tHX15f09HSKXtspOg3Nb+2G38ieaJ0MqICz1kBmZhbWEpZ/KAo082pG23ZtUVWVLHMuadeukZ6UytPDpzKqdRh6zY1/TmsITFYzmy7t44cLu8gy2wYOnHUOJCQkcPlybIn9p9VoCAgIwMfXJ/8zekfuaDNA+q42mM389OqrLJ8/H4BOQF7aI61OQ/qt3Tg8sicmJ9vooj7bhHuH9rgUSY5UVN7fHtR9/0kg2UjMnTuXFi1aMHv27BrZn8lk4sKFC5w+fdoeZEZHR3Pq1CmSM1Lx6d+BES9MqVQQmcdoMWFF5b3+j+DjWPYvf1UsXbqUmJgYXn/9dftr/fr147PPPqN79+41fjw7k8k29TU21lZQtpygcs/evUT+9hvHjh2jV69etqAyLKxQ9rtiajKozMqCtDRwcgJ3d9u+GwBVVRk9ejRDhgzh2Wefre/miEZCAsnqk3OzyHPmzBluv/12zp07Z18T6dS6Ge0ejsCxpQeWXDOqyZbkw9PTA7PZTEZG8ZFLjUahe/fu9mmRqqpy5MgRWge1QetowN/Zm1ndxxHk1qLuvlwTdC79Ckui/0NsVjIOGj0Gbf61g9Vq5VDUIcwlJG3R6bT06tkLRZM/K8hoMZNrNUnf1RJVVVn79tusmTcPQ24u3YCM1s048XAE2S090OaaUa7/7WkUBbf27XDxrPiSsbruPwkkG4HExER69+7N6dOncXJyYvv27SxYsIDt27cDtl/KpUuXsmLFCs6dO4eXlxcDBgxg/vz5BAcHM23aNCIiIpg2bVq5xzIajfi28WPwew/QspUf6XFX2TjrQyaunQfAmrsXkX013T7FBeCu1c9iNVkKbZdhyqaHVxDzQiYVO0ZJ7V+2bBkrVqzg9OnTuLu706VLF2bOnMk999wDQEREBAsWLCAiIoKcnBw6dOjAn3/+SfPmzQFYu3Yta9asKTFRUK0wGvNHKssJKtPT09m7dy+RkZEcO3aM3r17Ex4eTt++fWsnqDSbbYu4Y2PzX3Nzg5AQKOeuVl1Ys2YNixYt4s8//0QvyYdEBUkgWX1ybhYFGY1Gnn76aT7+5GM8b+mE/+0hqKqKJctUaDsPDw/8/Fpy8uSpQqNaBUcj8yQmJpKamkrHjh0LjZLc1XYw44IGoVEaxg3NG4VVtbLu/E6+OfcbCrYRyJKWisTHxxcblcwbjfRtXjxRovRd7Tuxfz8v3XkH2j7NiR/TC1QVbZaJgr2naBRcO3bEzc2tUvuuy/6TZDuNwKpVqxg9enSpQcesWbP46aef+Pjjjxk0aBAWi4V169bx008/ERwcXKljrVzzb5xaedHCv2Wp2wx/7UFa9e1U6LX0uKuFnrvoHDmScp6YzMRys7k+8cQTbNq0iX/961+Eh4djMBjYvXs3n3zyiT2QLMjR0ZFRo0bxxRdf8NRTTwFw++23M3PmTK5cuZJf1LU2GQzQpo3tUU5Q6ebmxrBhwxg2bBjp6ens2bOHX375hQ8++ICQkBB7UOno6Fj4GFarbb9XrtiCyhYtbEFl8+ZlB5WHDhUOIgHS02HnTls66npMbJOSksKcOXP47rvvJIgUQoh6ZDAYeOe9dzEMb8eOhCOYMrJRLSXdFFVxdXXF2dmp0Kikoij4t/K3P7darcTFxdG+fQf7+y56R8xWC2vO7iAhO5XpXceglYCkRlhUKyuO/cSvcVE46xzKXBfn6+tLXGwcBSe3KhqlULmWgqTval+HPiEM+GkJ64/8ijYpBaWEv71MFMqoYF6qhth/EkjWo02bNvHAAw+U+N6pU6dYtmwZu3fvpl+/fvbXJ00qPhJYEV/98A2+vYKqnfxEURRU4NfYKCZ3HFbqdidPnuTDDz9k79699C1QcDU8PJzw8PBSPxcREcEnn3xiDyQdHR0JDQ3l559/ZurUqdVqe6UVDSrj4myPUoLK4cOHM3z4cK5du8aePXv473//y9KlS+nTp489qCyWPc1qzd+vVlt4pLJAUWiuXYPLl0tup8UCe/bUazD57LPPcueddzJgwIB6Ob4QQggb6/VA5IJTOp0D23Pu7FmysrKLraXLm5EWEBBgH5VUFPDy9Cp0rkpMTMLZ2QUXl8LZy3UaLa56J36Ni0JRYHqXMTK6VU3WAkGkq94JTTnXbBqNBj9/P/uopFajoZV/q0JTWksifVc78vrvt8SjBAQEkeHgQvqlGDSqSt5VYxaQrkDzSswILaoh9Z8EkvXo8OHDdO6cn7gmIiLCPi1069atBAQEFAoii1q1alWFj3Xq6HE63J1fr8bNr5l9umpZStpOr9FyOOVcsW0Ltn/btm20bt26UBBZkrzt83Tt2pWoqKhyX6tzBgMEBtoeubn5I5XJycWCSnd3d0aMGMGIESPsQeXPP//M0qVLCenTh8Hh4YSGhhYPKi2WwkFlwZHKoiORRqOtTQU/W0/B5M6dO9mwYQPR0dF1elwhhBDFrTu/s1Ag0qVzF2Lj4rhyJQ6rNf98lXfqKjgqWWw00mLlypU4OnXqVPQwgG2tl6veiW2xUfg6ejKh7eBa/W43uqJ9VxEFRyXLGo0sSvqu5hXtP/fmzXH09OTiqVPk5uZitKpYgJrIvdpQ+k8CyXqUmppa6vzo5ORk/Pz8auxYGdcycHIpY90e8Mvzn6G5vkayZe/2DH+l5NFSg0ZHTGZSmftKSkoqNhU1ICCAjIwMcnJyOHHiBIGBgcU+5+bmRlpaWrHX4uLiyjxenXJwqFJQmZaWxu7du9m0aRNLliwhNDSUQYMGlR5UxsbaHlotXLxoS67j4WF7fumSLZBs3brwZ/buhZtuqrNg0mg0Mn36dN577z08K7FoXAghRM07l36Fb879hrPOIT8QUcDf3w93d3fOnDmN2WxBVdVCmV0DAgI4fvwEbm5uhc5HCYkJuLm5lbnuX6MoOOsc+Obcb4T6dJIkLlVUYt9VQN6o5KVLMRUajSz0Wem7GlNa/xkMBtp360ZsbCzx8fFgVYv9/VVVQ+g/CSTrkZeXF+np6SW+5+3tXaPBk97VEXOWscxthi2+v9gayZIoKJisxYsbF1RS+2NiYjCbzej1+lL/gNLT0/EokjgmPT294QYpRYPKvOyvycnFNvXw8GDkyJGMHDmS1NRU9uzZw8aNG1myZAl9+/Zl0KBB9OnTp3hQWXBaq0ZjCyYvXwZHR1tWhID8YtGYzVzdtImEtm3pMnBgLX5xmzfffJO2bdty11131fqxhBBClM5kNfN+9DoUKHFdnaurCz169ODs2bOkpV3DbDYVeM8VNzc3WrXKP59YLBbi4+MLzZwqjU6jRbGYeD96HW/0e0jKS1RSeX1XHl9fX5KTkys8GlmQ9F31ldd/iqLQqlUr3N3dOX36DBaLBauleNmWqqjv/pMJ0fWoZ8+enDx5ssT3br31VmJiYqipTHxe7f1Ii0mskX2pqOX+og4dOrRK7c8rqVHeaw2SgwMEBcHAgTBiBAQHg7d3iZt6enoycuRIFi1axPLly+nevTsbNmxg6tSpvPXWW+zZswej8Xrgf7VAwiOr1TYaGRMDZ8/C/v0QHW0bjbzu3599xjNDhvD75s21+GXh9OnTvPvuu3zwwQfVXnsrhBCiejZd2kdc1lWcdQ6lbqPVaunYsSMtW7bEUHB5BNC5cyecnfNHHuPjE3B39yieMK4UzjoHYrOS2XRpX9W+QBNWkb4ri0ajoVu3bpUajSxI+q56Ktp/bm5uBAf3wMnJEaUGS7fVZ/9JIFmPRo8ezY4dO0p8r2PHjjz66KPce++9bN++HaPRSE5ODl9//TWvvfZase3Pnz+PoiicP3++xP0F39yX2IOnq93m/73yFTte+YoAl7LvenXu3JkZM2Zwzz33sGXLFrKzs7FYLOzatavMz+3YsYNRo0bZn+fk5LB//36GDx9e7bbXqYJB5fDh0KNHmUHlqFGjWLx4Mf9avpxu3brx448/MnXqVN5++22O7dyJyVxgBDhvFNtqtf184ABs2QJnzmBJTmbXzp2oZjOv3nlnrQWTqqoyc+ZM5s6dS1BQUK0cQwghRMWYrRZ+uLgbB42+Qjf2AgJalbruEcBsNpOQEI+/f8WX2CiKgoNGzw8Xd2O2Fq9tKEpW2b6rDdJ3VVfZ/tPpdHTv3h1Pz5or21af/Sfj1/VoypQp9O7dm+zs7BLXHyxZsoQlS5bw2GOP2etIhoeHM3/+/GLbXrp0icDAQFq1alXise4Yewdb3vmKzKQ0XHyq/subkZCKf0R3gr3alrvtsmXLWLp0Kf/4xz84ffo0np6edOrUiTVr1tCmTZti2+fk5LBx40b2799vf239+vVERETg7+9fbPtGw9ER2ra1PXJy8qe/Xr1abFMvT09Gjx7N6NGjSUlJ4fft2/l961Y2xMfTsWNHunXtSntAW/R/VklJYLVyMSOD3lYr8UBybi6v3Xknz/7wA/1uu61Gv9KXX35JcnIys2bNqtH9CiGEqLyDV8+QZcrBRV+x0cPyxMfH4+XlVXypRTkMWh2Z5hyirp4l1KdjjbTlRrN+/XoCAwPp2bMnUPN9V1XSdxWzatUqRowYYb8uber9p1RmsacUPa55zz33HM2bN2f27NnV2s+iRYvw9fVlxowZJb5/KSOR8fMfJuvSVQY8cWeVjmExmVl3/9uM+Pgx3hn0SLl1JCtr6dKlXLp0iTfeeMP+2k033cTKlSvp0aNHjR6rQSgnqARs01jj4khPT+fY8eOcP3wYXUIC/v7+tG7ThpYtWqAtUCZka1QUu06csKeZtgKpBgOTvv+esDFjKtSsmMxEfo2N4nDKOWIykzBazRg0OgJcfAj2akuIUyDD+g5m/fr1hIWFVe/fQDR5FS16LEon52Yxf//nnEq7XCMXsyaTmejoI3Tr1q3Y9NeKyDTl0MkjgJdCp1S7LTeizp07c/bsWYYNG8brr7/Ot6YDNdZ31SV9Vz5FUXB0dGTKlCm8+OKLLI/bckP2X0XPzRJINiEvH1hNdMp5XPVlZ28tS4Ypmx5eQcwLqVo9S1GKnBxbQBkXVziojIqyJfHJExdHVkICMZcucSEmhti0NDq3akXrgABatGjBf374gQSzmaI5dVWdjjHr19N35MhSm5CYncry4z8RnXIeFVuZF4NGh4KCiorRasZktZCYkIDbNYVPJi/A16mBJkESjYYEktUn5+amLddiZMqON3HVOVZpauSauxeRfTUd5XrWdtWq4n9zN0a8ULWLUVVVyTDn8MWQp3HQVj4QvdF16tSJU6dOodFocHR1JvTDqQT4tMTZ2bn8D5fgzNYDRK/9HynnrqBzNODm14wOI/vS9c6Blf59kL4rX96/qcFgQOuop/+KhwjwKb7muCLW3L2I8GfuLpTo8uSm3zm5YS9/Wfb3Su+vJvuvoudmmdrahMzsMoY5e5djtJgwaPWV/rzRYkKn0TKz619qoXVNnKMjtGtne2Rn2wLKEycKB5FWK2Rk4OzkRKdOnejUqRNZ2dnEXLrEsWPH2L17N1arlWaAChTMG6uYzay84w7MO3bQv3//Yoffl3iC96PXYbZacCnhYkRBwVFrwJSVTkZyGj6d2zNn73JmdR9HmG/5Gf2EEELUjkuZiegUTbXW1w1/7UFa9e2EyWgi+mg03bt3r/K+FEVBp2i4lJlEB/f6X5aSk5PDzTffTG5uLmazmbvuuouXXnqpvpuF1WpFaeZIZnoGx5OO4+bmRkBAQJmlVoo6/PV2Dn31KwPnjKdVv87onRxIPnWZI19vp/OYm9AaKneZ39D6DmxLt6ZMmUJ8fDyKojB9+vQGsazGaDTi4u/OtZQ0jlxJwtvbG39/f/T6yl9f15T66D9JttOE+Dp5Mqv7OIxWM0aLqfwPFGC0mDBazczqPg4fx5pbICxK4ORkCygDA6FXL2jTBlxdITOzWJ3KvKBy2K234teyJdbr73tffxTUwmhk2NCh7N27t9Dr+xJP8Pbhb9FgK25b2sWIalW5cOEibdq0wd3BBQ0Kbx/+ln2JJ2rqmwshhKik8+kJmNWaKSUQdyUOHx+fal8MW1QrFzLia6RN1eXg4MC2bduIiori4MGDbN68mT179tR3swBwat0MRaPBalW5du0ax44d49SpU2RnZ5f7WWNGNn9++jMD50ygbUQvDM62m8A+nQKImP+3SgeReRpS34EtOc3bb7/N0aNH2bNnD8uWLePo0aP13SzA1n9oFKxWleSkZA4fPsyFCxcwmSp3jV2T6rr/JJBsYsJ8O/Nk8F1YUckwZZdbEFVVbdtZUXky+C4ZfapFc+fO5b333st/IS7Olv21ZUvo1g38/MDHxzZ6WYRFUTgXH881bCORcUBmkW00gCU7m1tvvZVnn32W2bNnk5idyvvR6zBodOWOUsddicPJ0dFe09Og1WPQ6Hg/eh1JOWnV+eql6tevH9HR0fbnhw4dYmAd1McUQojG4lRaTI3sJzfXyNWrV2nZsmW196UCJ1Nrpl3VpSgKrq6uAJhMJkwmU4MpWeXarrn9Z1WlUgFlQvQFLCYzgeFVHz0uSUPqOwA/Pz/69OkD2MpndO3alct5tbXrWcH+s6pqgwgo67r/ZGprExTm25l3b5rJR8d/4kg56+EUoIdXEDO7/kVGImtRYmIiX3zxBadP20q0bN+6lQWzZ7P9lVcAUM1mlv7vf6zYv59zKSl4OTkxoE0b5g8cSHCzZkxcswZFVQku4xhXgByAzExef/11/vOf/7D8+E+kxSax/clPmbh2nn3bM1v+5MjaHaReTEDv5IBnu5a4D2pHv7ER/PnpzwD0eeA2DFo9GaZslh/bUOK62WnTphEREcG0adNYtWoVDz74oH3ajq+vLxEREcydO9eehv78+fNERETYy9g89dRTzJ8/n++++w6w1V719PRk/fr1jB07tur/4EIIcYO4ZspCU83A6JfnP7MnaYtS1tJl0s20vrVnlfdn1qj8ej6SK2vqdu2uTqfjueeeK5SEDsBisRAaGsrp06d57LHHuOmmm+zv5eTk8MUXX9RZcJKcnL/wROfmgGotPJqsqrab+NfSrnH02lEcHBzo0qULOl3hS/actEwcPVzQ6GzfNSEhgd/mfkHG5atYTRbCnptAs64BlW5fffUd2NaPTpgwodTapefPn+fAgQOF+s9kMvH2229XaBS3ppXUf1ZVBRWSkpJISkrC1dWNzp1LL7Xzy/OfodHmj+tZTBZ8OpVcgaEiNIpCuqnu/i0kkGyifJ08mRcyqViGTpPVjL5Ahs5b/HvVeHZWUdyqVasYPXp0/tqIIv9jmvXpp/z05598/PjjDOrWDYvVyrrdu/kpKYngPn2I+/hjPC2l1w6yAtuu/6zVarFYLNz32AOM/eIfOGkLp3c/vGYHh1ZvY9CTE2jVrzNavY4932/FeC6lxMXkLjpHjqScJyYzsdzflQEDBhAZGYnFYuH8+fO8/fbbhIaGsnv37hIz895+++3MnDmTK1eu2O+ST5o0iY8++kgCSSGEgOs3fasXSA5bfD/4uQIqilJDk9U0oKnBousVTF6sOgAAC75JREFUOmQpx9NqtRw8eJDU1FTGjRvHkSNHCp1zNBpNnbcVQNHpoNyclyX3rYO7MzlpmVjNluvBpMKAl203dLc9uhzVqpb62XLVQ99B2cfMyMhgwoQJvPfee7i7u9tfVxSlQfdfefd4hi2+v8RkO1VuEwom1Vz+hjVEAskmLsDFl8kdh9V3M5q8TZs28cADD+S/oNfD9buPp2JjWbZxI7vfeIN+BQpIT4qIAGx3Wi9fvUomcAhoBrTU6XDRaLBarcRarUQ3b45/166M7NmTffv20blzZ3rPHMXOjJOFpvjY1lxs5uZn7yFoiO1udFJSEl7Breny1xEltl1RFFTg19ioCv8uabVa2rdvz4cffsjFixdZsGAB3377bbHtHB0dCQ0N5eeff2bq1KkARERE8NBDD5Gbm1vpGmdCCHGj0Wu0qOVHI+Vq1armknNkmnMI6dSBZ6bdXWP7rAmenp7ccsstbN682R5IOjo68tBDD9VZG1avXs3V69nZVbO5WKynKLbzqru7O61aBeDkVPLoXPPuQWj1Oi5ERtM2oifNm+ffyNVqtfj4eOPn71fp9jXEvjOZTEyYMIFJkyYxfvz4Qu/pdDqeeeaZOmvLggUL7D+X1H8aRQEFfHx88PPzq/PkOyoqeqXuwjsJJIVoAA4fPkznzvnrTyMiItj+66+wcydbo6II8PYuFEQWlJiYSKjBgN7TE+82bQjs1o3WXbrQunNn2nbtil/HjoXu1IWFhTFq1Cj2kYpeo8XRr5l9WmtC9AUsRjOBg20nWLPJzOXLl+nYsaP9rlqfB24r1ga9RsvhlHPFXl+1alW53338+PHMnTsXgKCgIPu01jxdu3YlKirK/rxVq1bo9XpOnDhhL+gshBBNlbve2Z5oraGwqipu1Sg1VpMSExPR6/V4enqSnZ3Nli1b+Oc//1nfzQLAnJ6Lcv38XNEAMo+DmxMh04az693vANWWtdXRwNUzcZizjVVuU0PqO7BN833wwQfp2rUr//jHP+q7OYUU7L/6DiDz1HX/SSApRAOQmpqKm5tb4Rc9PSE8nOQNG/Dz9raNUjo7g4tLoUdLZ2e+e/jhSh8rJvM0jkUS7BRdc3El/gre3t7l1rcyaHTEZBatXlkx/v7+9ruzJXFzcyMuLq7Ya6mpqVU6nhBC3Eg6egSw/cqhau1jy7Mr7XUkAVr17WSb7lpFCtDJs/Lr82pDXFwcU6dOxWKxYLVaufvuu/nLXxpGGbOMswl4D+qIRlPxALKgnvcNxdnHg0P/9ys7Fn+F3tGAm783YTPH0LxHUJXa1JD6DmDnzp38+9//Jjg4mN69ewPwyiuvMHr06Hpuma3/fK73X30HkHnquv8kkBSiAfDy8iI9Pb34Gx4eePfqRdzGjTByZI0ey6g341SkYK2jh0uhNRctW/oVS1pQEgUFk7Vqc/IvX75Ms2bNSn0/PT3dnim2rNeEEKIpCnJrjq4a6xoLJlqrKVpFQ6Brixrfb1X07NmTAwcO1HczitFoNFgTs3BxdCYgsEOlAsiCOowIpcOI0BprV0PqO4Dw8PByKwzUB4PBgCUhE3c3dwLaVy2ALOlvr9OofnQa1a/K7arr/pPyH0I0AD179uTkyZMlvnfrrbcSExPDH3/UTAa1vGMZNLpi62qadw+8vubiCAA6nbbcheJwfU6+pmr3pdatW8fgwYNLff/YsWP06tXL/vzy5csYjcZCU4GFEKKpau3ii1m1NpiLbVVVMatWWkuivhIpioJOp2P06NH8snYDLVv54ejYMNb7S99VTN662gPbduPT3LdYRt36Uh/9J4GkEA3A6NGj2bFjR4nvdezYkUcffZR7772X7du3YzQaycnJ4euvv+a1114rtv358+dRFKXYWsOixwpw8cFYZBTR4OpEnwduY9e733P+t8OYc4xYzRYu7TnG7/9aX+L+Vt78JJf+PEmAi0+Fv6/FYuHcuXP8/e9/Z/v27bz44oslbpeTk8P+/fsZPny4/bUdO3YwdOhQSbQjhBCAg9ZAF4/WZJlz67spAGSZc+ni0RqHcmoTN1XvvPMOBw8eZP369YQE95K+a2S++OILzp07x7Jlywj0b93k+08CSSEagClTprBx48ZS6yAtWbKExx9/nMceewxPT0/at2/PunXrSiyBcenSJQIDA2nVquQ6RGPHjuX48eMEGN0wWYuXDAm+J4KbHrudqC9+YfXtL/L1XS9z9PudBIYXL8+REZ+C3tkBl0Bfgr3alvs9d+/ejaurK+7u7kRERHDt2jX27dtHcHDJFTDXr19PREQE/v752QRXr17NzJkzyz2WEEI0FWMD+9d3E/IpcHvggPpuRYM1ZswYunfvbn8ufde4TJ482V6ODKT/GsZYrBBNnI+PD1OmTOGjjz5i9uzZxd5XFIVZs2Yxa9ascve1Y8cO5s6dW+p8fb1ez7x589j71a8oE9qgqmqhEiBQ8TUXV6LO0nXcIBw9nLnFv1eZ206bNo1p06aVu8+C3nrrLVauXGl/fujQIa5evcrtt99eqf0IIcSNrHez9jjrHTFazBi09XdpZ7SYcdY50qtZu3prQ2Mjfde4NfX+Uyozp75v375qTa3TEkLUv5cPrCY65Tyu1UgVnWHKpodXEPNCJtVgy0RToSjKflVV+9Z3OxozOTcLgB8v7Gb1mW246hyL3RysC6qqkmHOYVL7oTKqVUnSd43bjdh/FT03y9RWIZqwmV3GoNNoMVpMVfq80WJCp9Eys2vDSKUuhBBN1ajWYfg7e9fbeq0scy7+zt6Mah1WL8dvzKTvGrem3H8SSArRhPk6eTKr+ziMVnOlg0mjxYTRamZW93H4OHrUUguFEEJUhF6j44nud6IC5hLWv9cms9WCCszqPq7KGbybMum7xq0p958EkkI0cWG+nXky+C6sqGSYsstNIa+qtu2sqDwZfBdhvlKGQwghGoK2bi35a9vBZJlzsdZRORCrqpJlzuWvbQcT5NZw6g82NtJ3jVtT7T8JJIUQhPl25t2bZtLDK4hMcw7ppmxyLEas12uTWVUrORYj6aZsMs059PAK4r3+j0gQKYQQDcy4oEHc4tfLdsOvli9orddvLA7178W4oEG1eqymQPqucWuK/Sdj2EIIwDbNdV7IJGIyE/k1NorDKeeIyUzCZDWj1+gIcPEh2Kstt/j3IkCKFQshRIOkUTRM7zoGgF/jonDWOaDTaGv8OGarhSxzLkP9e/FwlzFoFBmbqC7pu8atKfafBJJCiEICXHyZ3HFYfTdDCCFEFWkVDTO6jqG5kyffnPsNxWLCWedQIxkl1evT6VRgYrshjAsaJIFIDZK+a9yaWv9JICmEEEIIcYPRKBomtB1MH5+OLIn+D7FZyTho9NWqdWe0mMm1mvB39mZW93Gyrq6WSN81bk2p/6SOpBBCiHojdSSrT87Nojwmq5lNl/bxw8XdZJlzQKXCoyR5oyAo4Kxz5I42AxjVOkwyfNYR6bvGrbH2X0XPzRJICiGEqDcSSFafnJtFRZmtFg5ePcP6C3s4nnYJnaLBolpRAY2ioKCgomJVVRRs0/TMqpUuHq25PXAAvZq1q5U1X6J80neNW2Prv4qem+WWhBBCCCFEE6DTaOnr04m+Pp3ItRi5lJnEhYx4TqbGkG7KxqSa0Ss63PROdPIMINC1Ba1dfHDQGuq76U2e9F3jdqP2n4xICiGEqDcyIll9cm4WQghRkyp6bpZUTUIIIYQQQgghKkUCSSGEEEIIIYQQlSKBpBBCCCGEEEKISpFAUgghhBBCCCFEpUggKYQQQgghhBCiUiSQFEIIIYQQQghRKZUq/6EoSiJwofaaI4QQookJVFXVt74b0ZjJuVkIIUQNq9C5uVKBpBBCCCGEEEIIIVNbhRBCCCGEEEJUigSSQgghhBBCCCEqRQJJIYQQQgghhBCVIoGkEEIIIYQQQohKkUBSCCGEEEIIIUSlSCAphBBCCCGEEKJSJJAUQgghhBBCCFEpEkgKIYQQQgghhKgUCSSFEEIIIYQQQlTK/wM+4VQ6qQyt3AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1152x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"minus_weight = -sum(abs(T.edges[edge]['weight']) for edge in T.edges())\n",
"A = [] # パス格納\n",
"B = [(0, ['RootNode'])] # 幅優先用キュー\n",
"k = 0\n",
"while B and k < K:\n",
" potentials, sidetracks = heappop(B)\n",
" A.append(sidetracks2path(sidetracks, P, T, source, target, minus_weight))\n",
" last_sidetracks = sidetracks[-1]\n",
" for v in P[last_sidetracks]:\n",
" new_sidetracks = sidetracks + [v]\n",
" new_potentials = potentials + P.edges[last_sidetracks, v]['weight']\n",
" heappush(B, (new_potentials, new_sidetracks))\n",
" from pprint import pprint\n",
" k = k + 1\n",
" if k == 1:\n",
" shortest_path_length = sum(G[v][u]['weight'] for v, u in zip(A[-1], A[-1][1:]))\n",
" length = shortest_path_length + potentials\n",
" fig, axs = plt.subplots(1, 2, figsize=(16, 5))\n",
" plot_digraph4(G, A[-1], pos, f\"{k} - Shortest Path: Length {length}\", ax=axs[1])\n",
" plot_digraph4(P.edge_subgraph(remain_edges), sidetracks, pos=path_graph_pos, node_size=400, title=\"Path Graph\", figsize=(6, 6), ax=axs[0])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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