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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",
"from networkx.drawing.nx_agraph import to_agraph \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 IPython.display import Image, display_png\n",
"from pprint import pprint"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def plot_digraph(digraph, pos, title, node_size=1400, figsize=None, ax=None):\n",
" fig, ax = plt.subplots()\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()\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": 4,
"metadata": {},
"outputs": [],
"source": [
"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",
"MultiGraph = nx.MultiDiGraph()\n",
"MultiGraph.add_edge('C', 'D', weight=3, key=1)\n",
"MultiGraph.add_edge('C', 'D', weight=-1, key=2)\n",
"MultiGraph.add_edge('C', 'E', weight=2, key=1)\n",
"MultiGraph.add_edge('D', 'E', weight=2, key=1)\n",
"MultiGraph.add_edge('D', 'F', weight=4, key=1)\n",
"MultiGraph.add_edge('E', 'F', weight=2, key=1)\n",
"MultiGraph.add_edge('E', 'G', weight=3, key=1)\n",
"MultiGraph.add_edge('F', 'H', weight=2, key=1)\n",
"MultiGraph.add_edge('F', 'G', weight=3, key=1)\n",
"MultiGraph.add_edge('G', 'H', weight=2, key=1)\n",
"MultiGraph.add_edge('G', 'H', weight=10, key=2)\n",
"source = 'C'\n",
"target = 'H'\n",
"K = 100"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# STEP0 (shrink source - target path)\n",
"reachable_nodes_from_source = set()\n",
"for edge in nx.bfs_edges(MultiGraph, source=source):\n",
" tail, head = edge\n",
" reachable_nodes_from_source |= {tail, head}\n",
"if target not in reachable_nodes_from_source:\n",
" print('There does not exist source {source} - target {target} path')\n",
"reachable_nodes_to_target = set()\n",
"for edge in nx.bfs_edges(MultiGraph.reverse(), source=target):\n",
" tail, head = edge\n",
" reachable_nodes_to_target |= {tail, head}\n",
"MultiGraph = MultiGraph.subgraph(reachable_nodes_from_source & reachable_nodes_to_target)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for tail, head, data in MultiGraph.edges(data=True):\n",
" data['label'] = data['weight']\n",
"A = to_agraph(MultiGraph)\n",
"A.layout('dot')\n",
"A.draw('Original_Graph.png')\n",
"display_png(Image('Original_Graph.png'))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"pred, distance = nx.dijkstra_predecessor_and_distance(MultiGraph.reverse(), source=target)\n",
"\n",
"# shortest path tree\n",
"T = nx.MultiDiGraph()\n",
"for tail, heads in pred.items():\n",
" if heads:\n",
" head = heads[0]\n",
" min_key = min(MultiGraph[tail][head], key=lambda key: MultiGraph[tail][head][key]['weight'])\n",
" weight = MultiGraph[tail][head][min_key]['weight']\n",
" T.add_edge(tail, head, weight=weight, key=min_key)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for tail, head, data in T.edges(data=True):\n",
" data['label'] = data['weight']\n",
"A = to_agraph(T)\n",
"A.layout('dot')\n",
"A.draw('shortest_path_tree.png')\n",
"display_png(Image('Shortest_Path_Tree.png'))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"for tail in MultiGraph:\n",
" for head, edges in MultiGraph[tail].items():\n",
" for key in edges:\n",
" edges[key]['delta'] = edges[key]['weight'] + distance[head] - distance[tail]"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for tail, head, data in MultiGraph.edges(data=True):\n",
" data['label'] = data['delta']\n",
"A = to_agraph(MultiGraph)\n",
"A.layout('dot')\n",
"A.draw('Potential_Graph.png')\n",
"display_png(Image('Potential_Graph.png'))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"def out(v, MultiGraph, T):\n",
" out_edges = []\n",
" for head, edges in MultiGraph[v].items():\n",
" for key in edges:\n",
" if head not in T[v] or key not in T[v][head]:\n",
" out_edges.append((v, head, key))\n",
" return out_edges"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"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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AcIIgA4ATBBkAnCDIAOAEQQYAJwgyADhBkAHACYIMAE4QZABwgiADgBMEGQCcIMgA4ARBBgAnCDIAOEGQAcAJggwAThBkAHCCIAOAEwQZAJwgyADgBEEGACcIMgA4YSGEzAebfSLpYPZOBwA+l6aGECYMNGhQQQYAZA9TFgDgBEEGACcIMgA4QZABwAmCDABOEGQAcIIgA4ATBBkAnCDIAODE/wOS7qMUy2HqiAAAAABJRU5ErkJggg==\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 MultiGraph:\n",
" out_edges = sorted(out(v, MultiGraph, 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, MultiGraph.edges[edge]['delta'])\n",
" h_out_tree.insert(max_root, MultiGraph.edges[max_root]['delta'])\n",
" MultiGraph.node[v]['H_out'] = h_out_tree\n",
"for v in MultiGraph:\n",
" MultiGraph.node[v]['H_out'].draw_tree(title=f\"H_out({v})\")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"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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H4MGDfV2SVJH+uxSpJZxOJ9OmTaN79+5ER0eTmZmpMK5h1CGL1AKpqanYbDZCQkJYtWoVXbt29XVJUg3qkEVqsIKCAiZMmMDw4cMZO3YsSUlJCuMaTIEsUkN98cUXREVFcezYMbKysrjvvvswDMPXZclF0JSFSA2zZ88exo0bR05ODv/+978ZNGiQr0sSN1GHLFJDOBwO/u///o8ePXoQGxtLRkaGwriWUYcsUgOkpKRgs9lo1KgRycnJdO7c2dcliQeoQxbxY/n5+YwfP54bb7yR8ePH88033yiMazEFsogfMk2TuXPnEhUVRWFhIdnZ2dx77726aFfLacpCxM/s2rWLRx99lJ9++ok5c+YwYMAAX5ckXqIOWcRPOBwO/vGPf3DllVfSq1cv0tLSFMZ1jDpkET+wfv16bDYbzZo1Y+3atVx++eW+Lkl8QB2yiA8dP36cRx55hN///vdMmjSJr7/+WmFchymQRXzANE3+97//ERUVRWlpKdnZ2dx99926aFfHacpCxMt27tzJ2LFj2blzJx9//DH9+vXzdUniJ9Qhi3hJWVkZf/vb34iLi6Nfv35s2rRJYSxnUIcs4gVr167FZrPRqlUr1q1bR6dOnXxdkvghBbKIB/388888/fTTzJ8/nylTpnDHHXdonljOSlMWIh5gmiaffPIJkZGRuFwusrOzufPOOxXGck7qkEXcbPv27YwZM4Z9+/bx2Wef0bdvX1+XJDWEOmQRNykrK+O1116jV69eDBo0iNTUVIWxXBB1yCJukJycjM1mo23btmzYsIEOHTr4uiSpgRTIIhfh2LFj/OlPf2LhwoW88cYb3HbbbZonlmrTlIVINZimyX//+18iIyOxWq3k5ORw++23K4zloqhDFrlAW7duZcyYMRw4cID58+fTu3dvX5cktYQ6ZJEqKi0t5ZVXXqFPnz4MHTqUlJQUhbG4lTpkkSpYtWoVNpuNjh07snHjRtq1a+frkqQWUiCLnMPRo0d58sknWbJkCVOnTuXmm2/WPLF4jKYsRCphmib/+c9/iIyMJCQkhJycHG655RaFsXiUOmSR39iyZQtjxozhyJEjfPnll/Tq1cvXJUkdoQ5Z5CS73c5LL71E3759GTFiBBs2bFAYi1epQxYBvvvuO2w2G507dyY1NZVLL73U1yVJHaRAljrt8OHDPPHEEyxfvpw333yT+Ph4X5ckdZimLKROMk2Tf//730RHR9OoUSNycnIUxuJz6pClzvnxxx9JSEggPz+fRYsWceWVV/q6JBFAHbLUISUlJbzwwgtcc801xMfHs27dOoWx+BV1yFInrFixgoSEBKKjo0lLSyMiIsLXJYlUoECWWu3QoUNMmjSJpKQk3nzzTUaOHOnrkkTOSlMWUiuZpsn7779PdHQ0zZo1Izs7W2Esfk8dstQ6P/zwAwkJCRQXF7NkyRJ69Ojh65JEqkQdstQaxcXFPPfcc/Tv359bb72VtWvXKoylRlGHLLXC8uXLSUxMJDY2lvT0dNq0aePrkkQumAJZarSDBw8yceJEVq9ezYwZMxgxYoSvSxKpNk1ZSI3kcrl49913iY6OpnXr1mRnZyuMpcZThyw1TnZ2NjabDYfDwbJly+jevbuvSxJxC3XIUmMUFxfz9NNPM3DgQO6++26Sk5MVxlKrqEOWGmHp0qWMGTOGuLg4MjIyaNWqla9LEnE7BbL4tby8PCZMmMC6deuYMWMGw4cP93VJIh6jKQvxSy6Xi1mzZtGtWzfatWtHVlaWwlhqPXXI4ncyMzOx2WwAfPPNN8TExPi4IhHvUIcsfqOoqIg//elPXHfddfzxj39k9erVCmOpUxTI4hcWL15MdHQ0u3fvLu+QLRb985S6RVMW4lO5ubk89thjpKSkMGvWLIYOHerrkkR8Ri2I+ITT6WTmzJl069aNyy67jKysLIWx1HnqkMXr0tPTsdlsWK1WkpKSiIqK8nVJIn5BHbJ4zYkTJ3jiiSf43e9+x0MPPcTKlSsVxiKnUSCLVyxcuJCoqCjy8vLIysrioYce0kU7kd/QlIV41L59+xg/fjzp6em8++67DBkyxNclifgttSjiEU6nkzfffJPY2FgiIyPJzMxUGIuchzpkcbtNmzYxevRogoODWblyJV27dvV1SSI1gjpkcZvCwkImTpzIsGHDSExMJCkpSWEscgEUyOIWX375JZGRkRw5coSsrCweeOABXbQTuUCaspCLsmfPHsaNG0dOTg6zZ8/muuuu83VJIjWWWhipFqfTydSpU+nRowfdu3cnPT1dYSxykdQhywXbuHEjo0ePJiwsjOTkZDp37uzrkkRqBXXIUmUFBQU89thjjBgxgvHjx7NixQqFsYgbKZDlvEzTZN68eURGRpKfn09WVhb33nsvhmH4ujSRWkVTFnJOu3fv5tFHH+XHH3/kww8/ZODAgb4uSaTWUocslXI4HEyZMoWePXsSFxdHenq6wljEw9QhSwUbNmxg9OjRNG3alDVr1nDFFVf4uiSROkEdspTLz8/n0Ucf5aabbuLxxx9n+fLlCmMRL1IgC6Zp8tlnnxEZGUlJSQk5OTn84Q9/0EU7ES/TlEUdt3PnTh555BG2b9/ORx99RP/+/X1dkkidpQ65jiorK+P1118nLi6Ovn37kpaWpjAW8TF1yHXQ999/j81mo2XLlnz//fdcdtllvi5JRFAg1yk///wzTz/9NPPmzWPKlCnceeedmicW8SOasqgDTNPk008/JSoqCqfTSU5ODnfddZfCWMTPqEOu5Xbs2MHYsWPZvXs3n376Kddcc42vSxKRs1CHXEuVlZXx17/+lauuuooBAwaQmpqqMBbxc+qQa6G1a9cyevRo2rRpw/r16+nYsaOvSxKRKlAg1yLHjh1j8uTJLFiwgClTpnD77bdrnlikBtGURS1gmiYfffQRUVFRWCwWsrOzueOOOxTGIjWMOuQabtu2bYwZM4bc3Fw+//xzrr76al+XJCLVpA65hiotLeXVV1+ld+/eDBkyhI0bNyqMRWo4dcg10OrVq7HZbLRv356UlBTat2/v65JExA0UyDXI0aNHeeqpp/jqq6+YOnUqt9xyi+aJRWoRTVnUAKZpMmfOHKKioggKCiInJ4dbb71VYSxSy6hD9nM//fQTY8aM4dChQ3zxxRf06tXL1yWJiIeoQ/ZTdrudl19+mauvvprhw4eTkpKiMBap5dQh+6GVK1dis9m4/PLL2bhxI+3atfN1SSLiBQpkP3LkyBGefPJJvv76a6ZNm0Z8fLzmiUXqEE1Z+AHTNPnggw+IioqiYcOGZGdnM2rUKIWxSB2jDtnHtmzZQkJCAsePH2fhwoXExcX5uiQR8RF1yD5it9t58cUX6du3LyNHjmTdunUKY5E6Th2yDyQlJWGz2YiMjGTTpk20bdvW1yWJiB9QIHvR4cOHmTRpEitWrCi/aCcicoqmLLzANE3+9a9/ERUVRdOmTcnOzlYYi0gF6pA9bPPmzSQkJFBYWMjixYvp2bOnr0sSET+lDtlDSkpKeP755+nXrx+33HIL69atUxiLyDmpQ/aAb775hsTERGJiYkhLSyMiIsLXJYlIDaBAdqODBw/y+OOPs3LlSqZPn85NN93k65JEpAbRlIUbuFwu3nvvPaKjo2nZsiXZ2dkKYxG5YOqQL1JOTg42m43S0lK+/vprYmNjfV2SiNRQ6pCrqbi4mGeffZZrr72WO++8kzVr1iiMReSiqEOuhmXLlpGYmEjPnj1JT0+ndevWvi5JRGoBBfIFOHDgABMnTmTNmjXMmDGDG264wdcliUgtoimLKnC5XLz99tvExMQQERFBVlaWwlhE3E4d8nlkZWVhs9lwOp0sX76cbt26+bokEaml1CGfRVFREZMnT2bQoEHcc889rFmzRmEsIh6lQK7EkiVLiI6OZseOHWRkZJCQkIDFol+ViHiWpixOk5uby4QJE1i/fj0zZ85k2LBhvi5JROqQWtv2nThxgiNHjlRprMvl4p///CfdunWjY8eOZGVlKYxFxOtqbYc8atQo9uzZQ1ZWFgEBAWcdl5GRgc1mw2Kx8O233xIdHe3FKkVEfuVXgVzkKGFbfi47C/LI/nk3R+z5OFwOrBYrlwSFEdX4UtqHhtMprBUh1vpnPc6CBQtITk4GYNq0aUyYMKHCmBMnTvCXv/yFf/3rX7zyyis8+OCDmicWEZ8yTNOs8uC4uDgzJSXF7UXsKMhj6d4UVuZlYmBQ5nIQYFiwWn7tbB0uJ07TRaDFionJgPAYro+Io0No+BnHKioqokOHDhw8eBCAkJAQfvzxxzMegfnVV18xduxY+vbty5QpU2jZsqXbv5OIyCmGYWw0TfO8bzH2aYd8zF7ArB8WkX50GyYmIdb6BBgWgqlXYWxQQGD5352mi29z00jKTad7004kdB1Bk6BQAJ5//nkKCgrKx5aWlvLQQw+xZMkS9u/fz2OPPUZqaipvvfUWQ4cO9fyXFBGpIp90yKZpsvpAFu9sXozdVUZDa30Mw6jWcQodJQRZAnm4y3AuORpAXFwcxcXFZ4wLCQnhD3/4A3PnzsVms/HMM88QHBx80d9DRKQq/LZDNk2Tj7cnMX/XGoIsVkIDqx+MhmEQGhhMqbOM6dlfsmv+BkpKSiqMKyoq4v3332ft2rXExZ33dyIi4hNevYp1ehiHWIOod9o0xMWoFxBIScEJXN2b0Sq+R6VjrFYrH3zwgVvOJyLiCV4N5NUHssrDOMBw36mdDid7d++l9EQJrYZ3p2mvjhXGlJSU8O6775KWlua284qIuJPXAvmYvYB3Ni8myGJ1axgD7Nm7B9N0gcvEaXfQ7p5rCGxUcSqkuLiYu+++G6fT6dbzi4i4g9cCedYPi7C7ytw2TXHKiRNFHD16FJfrl4uTZpkTSz0r7f/Yr9Lxu3btYubMmW6tQUTEHbwSyDsK8kg/uo2G57iZozpME7Zv31Yexqc4TtgJi2pDyKWXEBISQlhYGGFhYYSEhFBcXMzHH3/s1jpERNzBK6ssluzdgIlZraVt55Kbux+7vZRfDmtgtQZgtVoJDAwkoEEQo557mGvNjoSHh5f/adGiBUFBQW6tQ0TEHTweyEWOElblZZ3zVufqatkynMaNGxMUFFTheRVOl4tSVxl397/HI+cWEXG3C56ySEpKolGjRsTGxhIbG8uQIUMAeOGFF5g9e3aF8dvyczEwCDAsbFm8ntT3l5bv2/r1Rube93c+v/dvzLv/76z66yfYC365qWPRuJkU5B49Zy27V2ayOGE6s697ikOb95RvP7otl+TXPgEMtuXnVvjcpk2bePDBBwH44osv6NatG7GxscTFxbF69WoADh06pCe+iYhXVatD7t+/PwsXLqzS2J0FeZS5HBVuh967bjNZn67k+tcfpkHzRricLrYu2UDxsQKCQqt2s0iTDuEMfvk+kv/+2Rnbm3ZqxYlDxzmee5idnQ4Q07TDGftfffVVnn32WQAGDx7MyJEjMQyDjIwMbr/9djZv3kzz5s1p1aoVycnJXHPNNVWqR0TkYrjtol7Dhg0rvR05++fd5cvcrPUCCQz+JZjTPlxOrzE30aB5o18KCbBwxYjeNL60BQBBoSEYlnPPOTdu37J8/G+17RvJ3qQsco7tOmN7QUEBGRkZdO/evbzuU3PbJ06cOGOeOz4+njlz5pz3u4uIuEO1OuRVq1YRGxsLwG233cYzzzzDpEmTKh17xJ5f/tS2joN/vYvu2I48ml3R5qznGPLKfdUprVzzLm3Z9J/lHLHnn7E9JSWlwjOP582bx+TJkzl48CCLFi0q3x4XF1feSYuIeJrHpywcLsd5xxzdlst3r/yXsiI7cQ8PPyO4q6t+44YUHy6g7Dfnz83NpXnz5mdsGzVqFKNGjWLlypU899xzLF++HIAWLVqwf//+i65FRKQqPL4O2WqpPPObdAjn8JZ9wC9zvqPef5yI3l1wlJa55bzOUgcBQVYCf3P+4ODgSh9ABDBgwAC2b9/O4cOHgV9ut9ZT4UTEWzwSyNOnT2f69OkAXBIUhsNV8Vbl7ncPZv3MBZw4+HP5Nqe98jD+7pX/cihn9wXVcHzPIcLat+CSoLAztnft2pWtW7eW/7x161ZOPYI0NTUVu93OJZdcAsBzFoHAAAADhklEQVSWLVv0SicR8RqPrEPevHlz+cqEqMaXknr4pwpj2l7dlZKfC1n6xDuYLpN6DevTpGMrIq7qUmHs0W25hDQLq7B958pM1k6dR8nPhXz91Ltccllrhv3DBkDupq2E976CyCbtzvhMly5dOH78OAUFBYSGhvL555/zwQcfEBgYSHBwMJ988kn5hb1vv/2WESNGXPTvQ0SkKjzygPobb7yRuXPnUq9ePTKP7uC19E8ItlZ8C0hVlJ4oYdVfP2HwX/5Y5c84Sx0sGjeDwVNH83TP/1dh2dsbb7xBaGgoDz300DmPM2DAAL744guaNGlSrdpFRKDqD6j3yJTFwoULqVfvlwDuFNYKExOn6arWseo1qH9BYQxQeOAYPR++AUuAhU5hrSrsT0xMPO/t04cOHWLixIkKYxHxGo9f1Aux1qd/eDRFjsovpHlCo7bNaRTThv7hMZXeNl2/fn3uueeecx6jefPmxMfHe6pEEZEKvPK0t2ERV2FgcCHTIxfDNH95kNGwiKu8cj4REXfwSiB3CA2ne9NOFHqpSy50lNC9aSfah7b0yvlERNzBaw+oT+g6giBLIKVO96wzPptSZxlBAYEkdNXqCBGpWbwWyE2CQnm4y3DsLke1L/Cdj9N0YXc5eLjzcJoEhXrkHCIinuLVl5z2axlNfLu+FDnsbg9lp+miyGEnvl1f+ofHuPXYIiLe4JU3hpxiGAZ3dhwIwPxdawiyWN3yjr1SZxl2l4P4dn3Ljy8iUtN4tUOGX0P5kciRYBgUlBVXe/WFaZoUlBWDYfBI5Eju6jTI7a+JEhHxFq92yKcYhkH/8Biim7Rn1g+LSD+6DdM0CQmsX/7s5HNxmi6KykowDIPYpp1I6DpCc8YiUuP5JJBPaRIUyuTYO9lRkMfSvSmsyssEDMpcDgIMCwEWyy/rlzFxulw4TdfJp7eZDGody/URcXQIDfflVxARcRuPPMuiuoocJWzLz2Vn4QFyju3iiD2fMpeDQIuVS4LCiGzSjvYNW9IprJVeXCoiNUZVn2Xh0w75t0Ks9Ylp2oGYph246dI+vi5HRMSrvH5RT0REKqdAFhHxEwpkERE/oUAWEfETF7TKwjCMQ8Auz5UjIlIrtTNNs/n5Bl1QIIuIiOdoykJExE8okEVE/IQCWUTETyiQRUT8hAJZRMRPKJBFRPyEAllExE8okEVE/IQCWUTET/x/Aae9ZG2T6pYAAAAASUVORK5CYII=\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": "iVBORw0KGgoAAAANSUhEUgAAAWQAAAD6CAYAAACWAD2nAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAADhBJREFUeJzt3X9s1HWex/HXZ3502sIALVSLi1LsRsEDqabeqvwQFoMQWAQTzZpL9ryou7oxt7fq5c6oOXNZTdbzQjbLqRtPYuTwZHOAuBCXjRtYWmXXLSjgYpdt+eFyttraAlNKp52Zz/0BzLb010x/vu09HwkJ853P9/v9DKHPfPud73fGee8FABh9gdGeAADgPIIMAEYQZAAwgiADgBEEGQCMIMgAYARBxpjlnJvonHusnzG3OOeWj9ScgL4QZIw659xx51z5JcsWOec+7mX8ROdcZac/3jn3206Pb7gw9FVJuy+s85pz7tgl670o6QNJ/+ycu2IYXyKQkdBoTwDIlvf+tKT5Fx8757ykld77xk7LbpY0znu/r9Oq/+G9f+HS7TnnfibpKUnfH75ZA/3jCBlj1b2StmY49m1Jdznn+HnAqOIIGVb8zDkX6/R40iC3d5Ok/7pk2cPOuZWdHj/mvd/nvW9xzjVLKpX0p0HuFxgwggwrvue9r7r4wDm3SNK6QWxviqTmS5a91NMpiwuaLqxDkDFq+BUNY1VM0rgsxo+XdGaY5gJkhCBjrKqWdE0mA51zQUlXSDo2rDMC+kGQMVZtk7Q0w7G3SvrAe986jPMB+uX4PGSMRReOen8raZn3/st+xv5c0lrv/d4RmRzQC97Ug2nOucqelnvv5/e0vNPzSefcdyU9Lekf+tj+fEl/JMawgCNkjGnOuaD3PtnH806SPD8IMIAgA4ARvKkHAEYQZAAwIqs39aZMmeJLSkqGaSoAMDbt27ev0Xtf1N+4rIJcUlKiqqqq/gcCANKccycyGccpCwAwgiADgBEEGQCMIMgAYARBBgAjCDIAGEGQAcAIggwARhBkADCCIAOAEQQZAIwgyABgBEEGACMIMgAYQZABwAiCDABGEGQAMIIgA4ARBBkAjCDIAGAEQQYAIwgyABhBkAHACIIMAEYQZAAwgiADgBEEGQCMIMgAYARBBgAjCDIAGEGQAcAIggwARhBkADCCIAOAEQQZAIwgyABgBEEGACMIMgAYQZABwAiCDABGEGQAMIIgA4ARBBkAjCDIAGAEQQYAIwgyABhBkAHACIIMAEYQZAAwgiADgBEEGQCMIMgAYARBBgAjCDIAGEGQAcAIggwARhBkADCCIAOAEQQZAIwgyABgBEEGACMIMgAYQZABwAiCDABGEGQAMIIgA4ARBBkAjCDIAGAEQQYAIwgyABhBkAHACIIMAEYQZAAwgiADgBEEGQCMIMgAYARBBgAjCDIAGEGQAcAIggwARhBkADCCIAOAEQQZAIwgyABgBEEGACMIMgAYQZABwAiCDABGEGQAMIIgA4ARBBkAjAiN9gSAbLUm2lR7pk7HY/X6w6lP9WX8jBKphEKBkCZHJuivJl2lkmixSidMVX4od7SnC2SMIOMr41isXjtPVmlP/SE5OXWkEgq6gEKBYHrMyZYG7W/8k8KBkLy8FhbP0R3TyjUjWjyKMwcyQ5BhXnM8ppc/2aEDTbXy8soP5SroAspTTrexkWA4/fekT2lX3UfaXXdAcwtL9dCsFSqIREdy6kBWOIcMs7z3qqg/pB/sfUkfNdVqXChX0XC+gi6z/7ZBF1A0nK9xoVx91FSrH+x9SRX1h+S9H+aZAwNDkGGS915vHt2tdYffluQVDefJOTegbTnnFA3nSfJad/htvXl0N1GGSZyygDkXY/zWifeVH4pkfETcn5xgWMFAUG+deF+SdG/p4iHZLjBUOEKGOZWffzzkMb4o6ALKD0X01on3VVF/aEi3DQwWQYYpzfGYXql+R5FAaMhjfFHQBRQJhPTKH99Rczw2LPsABoIgw5SXP9mheKpDOZ2ulhgOOcGw4skOvfzJjmHdD5ANggwzjsXqdaCpVuNH6GaO8aFcHWiq1bFY/YjsD+gPQYYZvzz5e3n5AV9NkS3nnLz32nmyakT2B/SHIGPQzp07p9tuu03JZFLHjx/XokWLJEm7d+/WxIkTVVZWprKyMt1+++2SpGeeeUavvfZal220JtpUUf9x+lbnI+98oP3rd6afr/nVPm257wVt/s7z2vp3L6jix5sUj52TJO34+xcVq2vqc47Hdh3Q5u88r1dve1wN1X9OL49/2qznf/gvak209bjehx9+qPvvv1+StG3bNl1//fUqKytTeXm5KisrJUkNDQ1atmxZhv9aQO+47A2Dtn79et11110KBoPdnluwYIG2b9/e7zZqz9TJyfX4Rt7J31Xr45/v0R3/9qDGFU1UKplSzS9/r3PNMUWieRnNsWBGsZb86D6998L/dFk+5etfU2vDaVUertLS6+d3W++5557TU089JUlasmSJVq1aJeecDh48qHvuuUfV1dUqKirS1KlT9d5772nevHkZzQfoCUfIGLSNGzfqzjvvlCQFg0EVFhb2OX78+PHKy+sa0uOxenWkEunHoZywwnnnb43+aMO7+uvvf0vjiiZKkgLBgK5Z8Q1NuuoySVIkmi8X6Ps0x6SSy9PjLzX15mv1xptvdlsei8V08OBBzZ07Nz3vi6dTzp492+XUyurVq7Vx48Y+5wD0hyNkDEp7e7uOHj2qkpISSdKVV16pLVu2pJ+vqKhQWVmZJOnuu+/Wk08+qccff7zbdv5w6tMuR8dXL7kh/ffmY/Wacs3Xep3D7c/eN6jXMPnaafrd5r3dlldVVWn27Nldlm3dulVPPPGEvvjiC+3Y8ZcrNMrLy9NH0sBAEWQMSmNjoyZNmtTr85mesvgyfqbLp7b1pqm2Tr959g11tMZV/uDyLuEeqPzCqJo/b+y2vK6uTkVFRV2WrVmzRmvWrNGePXv09NNP691335UkXXbZZfrss88GPRf8/8YpCwxKXl6e2tp6fkMsG4lOpysuVTCjWI1H/leSVFg6VWvWP6Zp35ipRHvHoPcrSan2pIKR7tc99/XaFi5cqKNHj6qx8XzI29raup2GAbJFkDEoBQUFSiaTA47yunXrtG7dOoUCvf+yNvdvluiDF3+hs1+cSi9LxnuO8W+efUMNhz/Nag5n/tygotLup0RmzZqlmpqa9OOampr0hxLt379f8XhckydPliQdOXKk2+kNIFucssCgLV26VJWVlenL2rJRXV2tefPmqSUS0MmWhi6fZ3zRlbfMUtupFu38x1fkU14543NVcPVUTbtpZrexTbV1yp8yodvy43sOae9PtqrtVIt+9U//qclfv0LL/v17kqT6D2t0yzcXdltn5syZOn36tGKxmKLRqDZv3qzXX39d4XBYeXl52rRpU/qNvV27dmnFihVZv36gM5fNxxCWl5f7qiouokdX+/fv19q1a7Vhw4as1125cqW2bNminXX7tKHm15qQkz/gebSfbVPFjzdpyb/+bcbrJNsTevuRn+rVHf+t1Vd3v+xt7dq1ikajeuCBB/rczsKFC7Vt2zYVFBRkPW+Mfc65fd778v7GccoCg3bjjTdq8eLFSiaTWa+7fft25eTkqCRarHAfpy0ykTMuN6sYS1LL58264bvLVTqp56s4Hn74YUUikT630dDQoEcffZQYY9A4QoYJrYk2PVCxVpFgeNg+5a0nyVRK7akOvbLgh3whKoYNR8j4SskP5WpB8exeb2EeLq2JNi0onkOMYQJBhhnLpt0kJzdiX6/k/fkPMlo27aYR2R/QH4IMM2ZEizW3sFQtI3SU3JJo09zCUpVELx+R/QH9Icgw5aFZKxQJhNWeHJqbPnrTnuxQJBjWQ7O4VA12EGSYUhCJ6sGZyxVPJZT0qWHZR9KnFE8l9OC1y1UQiQ7LPoCBIMgwZ/7ls7V6+q1qTcSHPMpJn1JrIq7V02/VguI5Q7ptYLC4Uw/mOOf07asXSZLeOvG+IoHQkHzHXnuyQ/FUQqun35rePmAJR8gw6WKUH7luleScYh3nBnz1hfdesY5zknN65LpVurd08Yh9TRSQDY6QYZZzTguK52h2QYle/mSHDjTVynuv/HBuRjePJH1KrR1tcs6prLBUD81awTljmEaQYV5BJKonyr6tY7F67TxZpYr6Q5KcOlIJBV1AwUDg/PXL8kqmUkr61IXbsL0WX1GmO6aVa0a0eLRfBtAvbp3GV05rok21Z+p0vOVzHW4+oS/jZ9SRSigcCGlyZIKuK5iukvGXq3TCVO7AgwmZ3jrNETK+cvJDuZpTOENzCmfoW1fdPNrTAYYMb+oBgBEEGQCMIMgAYARBBgAjCDIAGEGQAcAIggwARhBkADCCIAOAEQQZAIwgyABgBEEGACMIMgAYQZABwAiCDABGEGQAMIIgA4ARBBkAjCDIAGAEQQYAIwgyABhBkAHACIIMAEYQZAAwgiADgBEEGQCMIMgAYARBBgAjCDIAGEGQAcAIggwARhBkADCCIAOAEQQZAIwgyABgBEEGACMIMgAYQZABwAiCDABGEGQAMIIgA4ARBBkAjCDIAGAEQQYAIwgyABhBkAHACIIMAEYQZAAwgiADgBEEGQCMIMgAYARBBgAjCDIAGEGQAcAIggwARhBkADCCIAOAEQQZAIwgyABgBEEGACMIMgAYQZABwAiCDABGEGQAMIIgA4ARBBkAjCDIAGAEQQYAIwgyABhBkAHACIIMAEYQZAAwgiADgBEEGQCMIMgAYARBBgAjCDIAGEGQAcAIggwARhBkADCCIAOAEQQZAIwgyABgBEEGACMIMgAYQZABwAiCDABGEGQAMIIgA4ARBBkAjHDe+8wHO9cg6cTwTQcAxqTp3vui/gZlFWQAwPDhlAUAGEGQAcAIggwARhBkADCCIAOAEQQZAIwgyABgBEEGACMIMgAY8X+H524PB8cyJAAAAABJRU5ErkJggg==\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 = MultiGraph.node[target]['H_out'].root\n",
"if out_root is not None:\n",
" h_t_tree.insert(out_root.name, out_root.value)\n",
"MultiGraph.node[target]['H_T'] = h_t_tree\n",
"for edge in nx.bfs_edges(T.reverse(), source=target):\n",
" tail, head = edge\n",
" h_t_tree = deepcopy(MultiGraph.node[tail]['H_T'])\n",
" out_root = MultiGraph.node[head]['H_out'].root\n",
" if out_root is not None:\n",
" h_t_tree.insert(out_root.name, out_root.value)\n",
" MultiGraph.node[head]['H_T'] = h_t_tree\n",
"for v in MultiGraph:\n",
" MultiGraph.node[v]['H_T'].draw_tree(title=f\"H_T({v})\")"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"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"
},
{
"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(MultiGraph.node[target]['H_T'])\n",
"h_g_tree.h_out_insert(MultiGraph.node[target]['H_out'])\n",
"MultiGraph.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 = MultiGraph.node[child]['H_T']\n",
" for v in nx.shortest_path(T, source=child, target=target):\n",
" h_g_tree.h_out_insert(MultiGraph.node[v]['H_out'])\n",
" MultiGraph.node[child]['H_G'] = h_g_tree\n",
"for v in MultiGraph:\n",
" MultiGraph.node[v]['H_G'].draw_tree2(title=f\"H_G({v})\")"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"# generate path-graph P\n",
"def edge2delta(MultiGraph, edge):\n",
" tail, head, key = edge\n",
" return MultiGraph[tail][head][key]['delta']\n",
"def add_H_G_to_P(P, node):\n",
" for v in MultiGraph.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(MultiGraph, v.left.name) - edge2delta(MultiGraph, 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(MultiGraph, v.right.name) - edge2delta(MultiGraph, 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(MultiGraph, v.h_out.name) - edge2delta(MultiGraph, 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",
" tail, head, key = edge\n",
" if head not in T[tail] or key not in T[tail][head]:\n",
" _, w, key = edge\n",
" if MultiGraph.node[w]['H_G'].root is not None:\n",
" u_name = (w, MultiGraph.node[w]['H_G'].root.name)\n",
" weight = edge2delta(MultiGraph, MultiGraph.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, MultiGraph.node[source]['H_G'].root.name)\n",
"weight = edge2delta(MultiGraph, MultiGraph.node[source]['H_G'].root.name)\n",
"P.add_edge('RootNode', u, weight=weight, edge_type='root_edge')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 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=(10, 10), labels=None)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 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=(10, 10), labels=None)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"# find K - shortest path\n",
"def sidetracks2path(sidetracks, P, T, source, target, minus_weight):\n",
" tmp_T = T.copy()\n",
" for v, u in sidetracks[1:]:\n",
" if P[v][u]['edge_type'] == 'cross_edge':\n",
" tail, head, key = v[1]\n",
" tmp_T.add_edge(tail, head, key=key, weight=minus_weight)\n",
" if len(sidetracks) > 1:\n",
" _, last_sidetracks = sidetracks[-1]\n",
" tail, head, key = last_sidetracks[1]\n",
" tmp_T.add_edge(tail, head, key=key, weight=minus_weight)\n",
" plot_digraph(tmp_T, pos, title='Shortest Path Tree')\n",
" shortest_path_node = nx.shortest_path(tmp_T, source=source, target=target, weight='weight')\n",
" shortest_path_edge = []\n",
" for tail, head in zip(shortest_path_node, shortest_path_node[1:]):\n",
" min_key = min(tmp_T[tail][head], key=lambda key: tmp_T[tail][head][key]['weight'])\n",
" shortest_path_edge.append((tail, head, min_key))\n",
" return shortest_path_edge"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[('C', 'D', 2), ('D', 'F', 1), ('F', 'H', 1)] 5\n",
"[('C', 'D', 2), ('D', 'E', 1), ('E', 'F', 1), ('F', 'H', 1)] 5\n",
"[('C', 'E', 1), ('E', 'F', 1), ('F', 'H', 1)] 6\n",
"[('C', 'D', 2), ('D', 'E', 1), ('E', 'G', 1), ('G', 'H', 1)] 6\n",
"[('C', 'E', 1), ('E', 'G', 1), ('G', 'H', 1)] 7\n",
"[('C', 'D', 2), ('D', 'F', 1), ('F', 'G', 1), ('G', 'H', 1)] 8\n",
"[('C', 'D', 2), ('D', 'E', 1), ('E', 'F', 1), ('F', 'G', 1), ('G', 'H', 1)] 8\n",
"[('C', 'D', 1), ('D', 'F', 1), ('F', 'H', 1)] 9\n",
"[('C', 'D', 1), ('D', 'E', 1), ('E', 'F', 1), ('F', 'H', 1)] 9\n",
"[('C', 'E', 1), ('E', 'F', 1), ('F', 'G', 1), ('G', 'H', 1)] 9\n",
"[('C', 'D', 1), ('D', 'E', 1), ('E', 'G', 1), ('G', 'H', 1)] 10\n",
"[('C', 'D', 1), ('D', 'F', 1), ('F', 'G', 1), ('G', 'H', 1)] 12\n",
"[('C', 'D', 1), ('D', 'E', 1), ('E', 'F', 1), ('F', 'G', 1), ('G', 'H', 1)] 12\n",
"[('C', 'D', 2), ('D', 'E', 1), ('E', 'G', 1), ('G', 'H', 2)] 14\n",
"[('C', 'E', 1), ('E', 'G', 1), ('G', 'H', 2)] 15\n",
"[('C', 'D', 2), ('D', 'F', 1), ('F', 'G', 1), ('G', 'H', 2)] 16\n",
"[('C', 'D', 2), ('D', 'E', 1), ('E', 'F', 1), ('F', 'G', 1), ('G', 'H', 2)] 16\n",
"[('C', 'E', 1), ('E', 'F', 1), ('F', 'G', 1), ('G', 'H', 2)] 17\n",
"[('C', 'D', 1), ('D', 'E', 1), ('E', 'G', 1), ('G', 'H', 2)] 18\n",
"[('C', 'D', 1), ('D', 'F', 1), ('F', 'G', 1), ('G', 'H', 2)] 20\n",
"[('C', 'D', 1), ('D', 'E', 1), ('E', 'F', 1), ('F', 'G', 1), ('G', 'H', 2)] 20\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.7/site-packages/matplotlib/pyplot.py:514: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n",
" max_open_warning, RuntimeWarning)\n"
]
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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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dBpedm3uOCPgpdgJN5h1Ynsz78OHDbNm8uc2dnJRSpKens3fv3nb9PwyneYcLv57CaWzGJaTaEg3btlnraCDVlsjYjEsMuf9Ak3kHVlvzdjgcbNu2jT17ynDpOu05mkBcXBxms5kjR460ed1wm3c48GshWzQzj144Hh0CfooZh8uJDjx24QQsWnjswSTzDqxzzbuy8jibvt3EiRNVuNzHvVDt/Choeno6+/fvb7ndmYTjvMOBXwsZoHdsdyb2/hm1jgav997zlEvXqXU0MLH3z+gVG16fzZR5B9ap83Y5XZSWlrJz5w4cTudJmx40rX3Hd4mOjiYmJoaDB898OM1wnneo83shA0zoNZLRPYZQba/ze0m4dJ1qex1Xpw5hQq+Rfr2vYCXzDqzmeR+uPsa3mzdx7NgxXK7T5+7JCRvS0tI4ePAgDvvJbxrKvENbQApZUxoPnD+upST89XLa4XK2PFnvHzgOrYN7C3ZWMu/Actgd7PyvtXz35sfoVu2sh9Xy5IhuERERJCYmsr/8x6PtybxDX8A2PpmUxoPnj6NbVDxvlH6IctqxmSN8cgp13f0STgcm9RnFhF4jw/7JKvMOjC1btnDLLbdQVlZGbV0tPQ4cI/WmoejoOGvtJ123vduQm/Xo0YNNmzaTnNwNl/uIn+E+71CnPPmI1PDhw/Uvvviiw3daWnWARZvfYn/tESI0S4dOpd7odNDgspNqS+SxCyfINrUzaO+823MsC5n3yTIzM9m7d+9Jb8BFZSTQ5/6riOweh7PBgW5veoVis9m44ILzPVr+voPl1DU2MLTPBTLvTkwp9aWu68Pbup4hf2Z7x3an+NL7mNz3aiwmMzWOemrs9e3+/Kyu69TY66lx1GMxmZnc92qKL71PnqxnIfP2n3Xr1jF58mSioqJaNknUlR1ly9y32Pu/69EdTkw2Kyabtd2bLFrPu3tyCgf/+g2/0AfLvMOAIWvIrTlcTr45uoO/7V7H1uNlmJWGU3eh03RaGoVCR2/6HCdNL8UduouBcRn8PHMEQxL6yIfiPXCueR890nTUuITEBJm3h7Zs2cIjjzzCunXrqK1tdTwKTRE3KJ3u1w+m25DeZKSmefz8/vOS/+all15i7dq1PtnkJAKvvWvIhhdyaw3ORspqDrO7+iA/VO6lyl6HXXdgUWZiLVEMiE8nMyaFjOgkIkxWv+UIF6fO+/1P16LMJoZf/BOZt5f++c9/MnbsWEwm02mn2rr5FxN48uVnPX5+O51Ohg4dyrx587j55psD/ZCED7S3kIPqE+URJiv9uqTSr0sq16QONTpOyDt13vv+8hmRkZFk/7Lzn3bJKFu2bOGaa67h7rvv5rHHHqOqqooa94l6u9hivHp+m0wmioqK+O1vf8u4ceM6dGYREdzkrVohfOT48ePk5+dTXFzMbbfdxu7du8nPzyc2NhaTyURMTIzXy77hhhtIS0vjpZde8mFiEWykkIXwkeLiYsaNG8fgwYOBppOYPv7445SVlfHEE08wZswYr5etlKK4uJg5c+ZQXV3tq8giyMhrHyF8YO/evbzwwgts2LDhtN/FxcVRVFTU4fsYNmwYo0eP5qmnnmL27NkdXp4IPrKGLIQPzJ49mwcffJD0dP+eaDQ/P59FixZx4MABv96PMIYUshAd9O233/L2228zdepUv99X7969ueuuu5gzZ47f70sEnhSyEB2Uk5NDbm4ucXFxAbm/3Nxcli9f3uYZSETnI4UsRAe8//77bN26lYceeihg95mQkEB2djbTpk0L2H2KwJBCFsJLLpeL7OxsFixYgNUa2B1nHnnkEb766is++uijgN6v8C8pZCG8tGzZMjRNY+LEiQG/78jISPLz88nKyjLsHIrC96SQhfBCQ0MD06dPp6SkxLDjS0yePJm6ujrefPNNQ+5f+J4UshBeeP755xk8eDCjRo0yLIOmaZSUlJCTk4Pdbm/7BiLoSSEL4aFjx46xYMECCgsLjY7CmDFj6NOnD4sXLzY6ivABKWQhPFRYWMj48eO54IILjI4CQFFREfPmzePEiRNGRxEdJIUshAf27NnDiy++SF5entFRWlx88cVcf/31lJSUGB1FdJAUshAemDlzJg8//DCpqalGRznJvHnzeP7559m/f3/bVxZBSwpZiHb65ptvWLVqFVlZWUZHOU3Pnj2577775KBDnZwUshDtNHXqVGbOnElsbKzRUc5o2rRprFy5ks2bNxsdRXhJClmIdli1ahWlpaXcf//9Rkc5q/j4eKZNm0ZOTo7RUYSXpJCFaEPzLtKFhYVYLBaj45zTr3/9azZt2sQHH3xgdBThBSlkIdqwdOlSbDYbEyZMMDpKmyIiIigoKCArKwuXy2V0HOEhKWQhzqG+vp4ZM2YYuou0pyZNmoSu67zxxhtGRxEekkIW4hyeeeYZhg0bxsiRI42O0m7Nu1RPnz6dhoYGo+MID0ghC3EWR44cobi4mAULFhgdxWOjR49m4MCBvPDCC0ZHER6QQhbiLAoKCpg4cSLnnXee0VG8UlRUREFBAZWVlUZHEe0khSzEGZSWlvLqq6926h0tBg0axI033uiTM16LwJBCFuIMZsyYwaOPPkpKSorRUTpkzpw5LF68mLKyMqOjiHaQQhbiFF9++SVr1qxhypQpRkfpsPT0dB566CFmzZpldBTRDlLIQrSi6zpZWVnk5eURExNjdByfyM7O5p133mHjxo1GRxFtkEIWopX33nuP8vJy7rnnHqOj+ExcXBwzZsxg6tSpRkcRbZBCFsLN6XSSnZ1NUVERZrPZ6Dg+9eCDD7Jt2zZWr15tdBRxDlLIQrgtWbKErl27ctNNNxkdxeesVisLFiwgOztbdqkOYlLIQgC1tbXMmjWrU+0i7albb70Vi8XCa6+9ZnQUcRZSyEIACxcuZMSIEVx22WVGR/EbpRQlJSXk5uZSX19vdBxxBlLIIuwdOnSIp556ioKCAqOj+N2VV17JkCFDeO6554yOIs5AClmEvfz8fO644w769etndJSAKCwspLCwkKNHjxodRZxCClmEte3bt7N06VJmzpxpdJSAOf/887nllls65UGTQp0Usghrubm5TJkyheTkZKOjBFReXh4vv/wyu3btMjqKaEUKWYStzz77jI8//pjHH3/c6CgB16NHD37zm9+E1SuDzkAKWYQlXdfJzs5m7ty52Gw2o+MY4ne/+x2rV6/m66+/NjqKcJNCFmHp7bff5siRI/zyl780OophYmNjmTVrFllZWei6bnQcgRSyCEMOh4OpU6dSXFyMyWQyOo6h7rvvPsrKyli1apXRUQRSyCIMvfLKK3Tv3p2xY8caHcVwFouFwsJCsrOzcTqdRscJe1LIIqzU1NSQl5dHcXFxyO4i7anx48cTExPDn//8Z6OjhD0pZBFWfv/73zNq1CiGDx9udJSg0bxL9cyZM6mrqzM6TliTQhZh4+DBgyxcuJD58+cbHSXoXH755VxyySUsWrTI6ChhTQpZhI25c+dy55130rt3b6OjBKUFCxZQUlLC4cOHjY4StqSQRVj4/vvvef3118nNzTU6StAaMGAAkyZNklcQBpJCFmFh+vTpZGVlkZiYaHSUoDZr1iyWLFnCzp07jY4SlqSQRcj75JNPWL9+PY888ojRUYJeSkoKjz/+uLySMIgUsghpzWeRzs/PJyoqyug4ncKUKVNYu3Yt69evNzpK2JFCFiHtrbfeoqamhsmTJxsdpdOIjo4mLy9Pdqk2gBSyCFl2u52cnBzZRdoLd999NxUVFbzzzjtGRwkrUsgiZL344otkZmZy3XXXGR2l0zGbzRQVFZGdnY3D4TA6TtiQQhYhqaqqirlz51JUVGR0lE7rxhtvJCkpiVdffdXoKGFDClmEpCeffJIxY8YwdOhQo6N0Ws27VM+ePZuamhqj44QFKWQRcsrLy3n22WeZN2+e0VE6vUsvvZSRI0fyhz/8wegoYUEKWYScvLw87r33XjIzM42OEhIKCgp4+umnqaioMDpKyJNCFiHlu+++Y8WKFUybNs3oKCGjb9++TJ48WV5xBIAUsggpOTk55OTk0LVrV6OjhJQZM2bw2muvsW3bNqOjhDQpZBEy1q5dy8aNG3n44YeNjhJykpOTeeKJJ+SVh59JIYuQ0LyL9Pz584mIiDA6Tkh67LHH+Oyzz1i3bp3RUUKWFLIICcuXL8fhcHD77bcbHSVk2Ww25s6dK7tU+5EUsuj0GhsbmTZtGiUlJWiaPKX96c4776SyspK//vWvRkcJSfLsFZ3eH//4RwYMGMDVV19tdJSQZzKZKC4uZurUqbJLtR9IIYtO7fjx4+Tn58su0gF0ww03kJaWxksvvWR0lJAjhSw6teLiYsaNG8fgwYONjhI2lFIUFxczZ84cqqurjY4TUqSQRae1d+9eXnjhBebOnWt0lLAzbNgwRo8ezVNPPWV0lJAihSw6rdmzZ/PAAw+Qnp5udJSwlJ+fz6JFizhw4IDRUUKGFLLolL799lvefvttcnJyjI4Stnr37s1dd93FnDlzjI4SMqSQRaeUk5NDbm4ucXFxRkcJa7m5uSxfvpytW7caHSUkSCGLTuf9999n69atPPTQQ0ZHCXsJCQlkZ2fLLtU+IoUsOhWXy0V2djYLFizAarUaHUcAjzzyCF999RUfffSR0VE6PSlk0aksW7YMTdOYOHGi0VGEW2RkJPn5+bJLtQ9IIYtOo6GhgenTp1NSUoJSyug4opXJkydTV1fHm2++aXSUTk0KWXQazz//PIMHD2bUqFFGRxGn0DSNkpIScnJysNvtRsfptKSQRadw7NgxFixYQGFhodFRxFmMGTOGPn36sHjxYqOjdFpSyKJTKCwsZPz48VxwwQVGRxHnUFRUxLx58zhx4oTRUTolKWQR9Pbs2cOLL75IXl6e0VFEGy6++GKuv/56SkpKjI7SKUkhi6A3c+ZMHn74YVJTU42OItph3rx5PP/88+zfv9/oKJ2OFLIIat988w2rVq0iKyvL6CiinXr27Ml9993H7NmzjY7S6Ughi6A2depUZs6cSWxsrNFRhAemTZvGypUr2bx5s9FROhUpZBG0Vq1aRWlpKffff7/RUYSH4uPjmTZtmhz8yUNSyCIoNe8iXVhYiMViMTqO8MKvf/1rNm3axAcffGB0lE5DClkEpaVLl2Kz2ZgwYYLRUYSXIiIiKCgoICsrC5fLZXScTkEKWQSd+vp6ZsyYIbtIh4BJkyah6zpvvPGG0VE6BSlkEXSeeeYZhg0bxsiRI42OIjqoeZfq6dOn09DQYHScoCeFLILKkSNHKC4uZsGCBUZHET4yevRoBg4cyAsvvGB0lKAnhSyCSkFBARMnTuS8884zOorwoaKiIgoKCqisrDQ6SlCTQhZBo7S0lFdffVV2KAhBgwYN4sYbb6SoqMjoKEFNClkEjRkzZvDoo4+SkpJidBThB3PmzGHx4sWUlZUZHSVoSSGLoPDll1+yZs0apkyZYnQU4Sfp6ek89NBDzJo1y+goQUsKWRhO13WysrLIy8sjJibG6DjCj7Kzs3nnnXfYuHGj0VGCkhSyMNx7771HeXk599xzj9FRhJ/FxcUxY8YMpk6danSUoCSFLAzldDrJzs6mqKgIs9lsdBwRAA8++CDbtm1j9erVRkcJOlLIwlBLliyha9eu3HTTTUZHEQFitVpZsGAB2dnZskv1KaSQhWFqa2uZNWuW7CIdhm699VYsFguvvfaa0VGCihSyMMzChQsZMWIEl112mdFRRIAppSgpKSE3N5f6+nqj4wQNKWRhiEOHDvHUU09RUFBgdBRhkCuvvJIhQ4bw3HPPGR0laEghC0Pk5+dzxx130K9fP6OjCAMVFhZSWFjI0aNHjY4SFKSQRcBt376dpUuXMnPmTKOjCIOdf/753HLLLXIwKTcpZBFwubm5TJkyheTkZKOjiCCQl5fHyy+/zK5du4yOYjgpZBFQn332GR9//DGPP/640VFEkOjRowe/+c1v5BUTUsgigHRdJzs7m7lz52Kz2YyOI4LI7373O1avXs3XX39tdBRDSSGLgHn77bc5cuQIv/zlL42OIoJMbGwss2bNIisrC13XjY5jGClkERAOh4OpU6dSXFyMyWQyOo4IQvfddx+HyFHlAAARTUlEQVRlZWWsWrXK6CiGkUIWAfHKK6/QvXt3xo4da3QUEaQsFguFhYVkZ2fjdDqNjmMIKWThdzU1NeTl5VFcXCy7SItzGj9+PDExMfz5z382OoohpJCF3/3+979n1KhRDB8+3OgoIsg171I9c+ZM6urqjI4TcFLIwq8OHjzIwoULmT9/vtFRRCdx+eWXc8kll7Bo0SKjowScFLLwq7lz53LnnXfSu3dvo6OITmTBggWUlJRw+PBho6MElBSy8Jvvv/+e119/ndzcXKOjiE5mwIABTJo0KexeWUkhC7+ZPn06WVlZJCYmGh1FdEKzZs1iyZIl7Ny50+goASOFLPzik08+Yf369TzyyCNGRxGdVEpKCo8//nhYvcKSQhY+13wW6fz8fKKiooyOIzqxKVOmsHbtWtavX290lICQQhY+99Zbb1FTU8PkyZONjiI6uejoaPLy8sJml2opZOFTdrudnJwc2UVa+Mzdd99NRUUF77zzjtFR/E4KWfjUiy++SGZmJtddd53RUUSIMJvNFBUVkZ2djcPhMDqOX0khC5+pqqpi7ty5FBUVGR1FhJgbb7yRpKQkXn31VaOj+JUUsvCZJ598kjFjxjB06FCjo4gQ07xL9ezZs6mpqTE6jt9IIQufKC8v59lnn2XevHlGRxEh6tJLL2XkyJH84Q9/MDqK30ghC5/Iy8vj3nvvJTMz0+goIoQVFBTw9NNPU1FRYXQUv5BCFh323XffsWLFCqZNm2Z0FBHi+vbty+TJk0P2lZgUsuiwnJwccnJy6Nq1q9FRRBiYMWMGr732Gtu2bTM6is9JIYsOWbt2LRs3buThhx82OooIE8nJyTzxxBNMnz7d6Cg+J4UsvNa8i/T8+fOJiIgwOo4II4899hjr1q1j3bp1RkfxKbPRAUTg7dmzhzVr1px2+caNG7FYLGf8rOe1115LWlraSZctX74ch8PB7bff7resQpyJzWZj7ty5ZGVlsXbt2tNODbZ27Vr27t3LHXfcYVBCL+m63u6vYcOG6aLzW7Jkia5pmh4dHX3Sl8Vi0S0Wy2mXa5qmL1++/KRlNDQ06H379tX/+c9/GvQoRLhzOBz6oEGD9Lfeeqvlsi1btujXXHONbjab9fPOO8/AdCcDvtDb0bGyySIMTZo0icTERGpqak76stvt2O320y7v0aMH48ePP2kZf/zjHxkwYABXX321QY9ChDuTyURxcTFTp06lrKyMO++8k5/85CesWbMGh8PRKc/JJ5sswpDVaiU/P58pU6a0uddTTEwMhYWFJx0o6Pjx4+Tn57N69Wp/RxXinEaOHEl9fT19+/YFmg5u1ayhocGoWF5TugeHtBs+fLj+xRdf+DGOCJTGxkYyemdSY3UQlZFATJ9umGMjUGYzusOBo6qB6p0VxDaY2fThl9iskS23zc3Npby8nJdfftnAR9D5NDgbKas5xK6qCrYd38sJey12lxOLZqKLxUb/uHR6xXYjIzqZCJPV6LhBzW63s3jxYnJzc6mvrz9j+XZNTuTz7RuCYt5KqS91XW/ztOtSyGHG4XLyzZEd/G3POj4v28zhgxXo7jdEdJcLdECB0jQ0TdEtuRvRsTEMjMvgpsyfklwXyU8uHsqGDRtIT0839sF0Aq3nvfV4GWal4dBdAGhKoVDo6Ljc/w6bf98874sT+mLW5DCmzXRdZ8WKFTz66KNUVlae/gpPU8QNzqD7dYPocl53+vfpFxTzlkIWJ7G7HLxbtp6Vuz+h1tG0NhFlsvLtt99it5/5kIZWq4XBgy8C9JbbHNp3gIwjkSx+tACLJlu8zuZM87aZI077NMCZ6PqP87ZZIrm55wjGZlwi8wZ+9atf8ac//Qmn03nS5cqs0e2aC+hxw0WYoqzogKuukWHDhrW5zEDMWwpZtCitOsCizW+xv/YIEZoFq+nHJ9qhQ4fZW1aG0+U66TYmk0bPnpkkJia0XFZXV8e2ndvJ7NuH9NhkHrtwAr1iUwL2ODqLc83bU41OBw0uO6m2RJk3sHXrViZMmMCePXuora0FICojgT73X0Vk9zicDQ50+49lPXzYMGj7b2ALf81bClng0l2s2PUxb5R+iOLMa2i6rrNx48bT1pKb145bX33btm3ExcWRnJzcskZxa++fMaHXSDQlH9hpz7y90XoNTubdtP145syZLHpmEfGjB5D686Houo6z1n7S9ZSCoUOHommezcof825vIctroBDl1F0s/u7vrCnfgM0ccdbtYkopUlPTTlpLNpk00tLSTyrjEyeqqK9voF+/ZJRSRFsicbicLNv5LyrqKnng/HGYwrgk2jtvb8i8T2axWJi/oADztb1ZXfYljdV1uByu066nlMLlcnlcyEbOOzz/j4Y4V6tyiLFEtVkOSUmJaKYfnwomk4mEhB83VaDD3r17SU9LO2mNz6yZiLFEsaZ8A3/a+ndc+un/KMKBp/P2lsy7SfO8f1CHGNirP13jup6ldJsK2VtGzFsKOQSt2PVxSzlo7XjJ3LyWrJRCU+q0teOjx46iFHRNOP1obppSxFiieH//Blbs+tiXD6PT8HTeHSHzPnneZrOJ3r170bdvH8wm00krDEqBy9WxM1UHet5SyCGmtOoAb5R+iM0c4VE5JCUlopRCaeqktWPdpbNv375zfsRNUwqbOYI3Sj9kV9XBDuXvbLydd0fIvE+fd1xcHIMGD6JLl9iWtWVd1zu0htwskPOWQg4hdpeDhZtXoMDjl81KKdLSUkk/Ze244lAFUVFRxMbGnvP2Zs2EAhZuXoHdFdpnBm7WkXl3lMz79HmbzWb69+9PZs+eaJrC5dJxuZynL8gLgZq3FHIIebdsPeW1R7GZvTsUZkpKCsndklt+djqcHDhwgLS09u0AYjNHsL/2CO+Wrffq/jubjs67o2TeZ5aYlMigQYOIiLDiwYfI2hSIeUshhwiHy8nKPZ8SoVl88lErgPID5cTHxxMVFdn2lWlay47QLKzc8ykOH62ZBCt/zNtTMu+zs1qtDB48mNjYGJ9lCMS8pZBDxDdHd1Brr+/QTgitNTY2cvjwYVJTUz26ndVkptZRz4ajO32SIxg4nU7mzZvH9u3bWy7z9by9FYrzBli8eDFr165t+Tlc5i2FHCL+uvtTny5v3759dOvWDYvF4vmNdd/nMVJVVRWzZ89m8ODBTJo0ie3btwfX4wuxeQPMmzePMWPGcNlll7F27drgenx+nLfsGBICGpyNfH98LzHm9m1aONWy2/KpO1qFav4ssg5dL+nNuLn3ebU8mzmCrcfLaHA2hsxRyywWC/X19bz55pv87b2/c+kL95Ce1B28+HsFsOOfX7P59bUcKz2AOdJKbI8E+t0wnPPHX+7xJpBQnDc0vUr7/PPPGXfzTQxZeAepid3B4vlzfNlt+VyRfRtpwwe0XPbDu5/zw9ufceNzj3i8PH/OWwo5BJTVHMKstA5tyxxTeG/LE/aHH7bRNT4ek8m7F1BKKcxKo6zmMP26eLbJI9g5HA4iEuKpPn6CLRVHiY+PJy0tzaNzCn77Px+w8bU1XP7bW0i79DwsUREc2baPTf/zAeeNuwyT1bN/lqE8bwA93kpdTR07jm0nMiqK9PR0n24b9pQ/5y2bLELArqqKlkMMdtSJEydobGwgKTmpQ8tx6i52V4fmZ2SjMhJA03C5dI4dO8bmzZvZuXNnuw6I3lhdx1cv/x+X//YX9L5qCFZbJEopkgakc9Ws/+dxGTcL9Xkrk4bT5aKmpobt27bx3XdbqaqqNiyTv+YthRwCth3f65Pl6O5dpJv21OvYJwd04IdK3+QKNjF9urV8r+t4VMwVm3fjtDvIvOJCn2YKl3kDQVHM/pq3bLIIASfstR3eS2x17iugFLruQilF/9uvIG30IK+X5zTDu9+tYsOiv3coVzBoaGjA4fhxZwBzbETTwfxb0fWmPcOOHT3GsWPHsNmiOf/8gactq/54DZFx0WhmE3a7g/Ly/Xyet4ya/Udx2Z0MzR5P14Fpp92uLaE0b4Bjx461fH+mecOPxfzDD99jNpu58MILMZvPXGmrc1856XgtTruTpAGez7mZphRVdt+fs08KOQTYXU6UJwd9PYNr599Nl/NSqa6uOuuT2qNMykV8UhQXX9y9w8syWm1tLZqmteyGq8zmplWkM1BKgYLoaNsZfx/RxUb98RpcDieapmGLsjGq6C4AVt3/HBFWKzbbmW97LqE0b4Bly5a1fH/ueQMooqKi0M6xt+S18+8+45t63lIo7Lrv99iTQg4BFs2EfrZnrAdiY2N89mZJjaOeQQn9eGjIbT5ZnpEqKyuZNm1ay8+6w3HaQc9NWtObqj1Se5CcnHzWQz52u7AXJouZ3R9tpvdVF520rV4zacTHx5OcnHzG255LKM0bYP78+VRWVgJnnrfm/sOXlJREjx6pWCyBrTIdHYvy/X1KIYeALhZbyznCgoVL14m1RBkdwy8cVQ0od+G2t4ibRcRGMfSuMXzy9P8CetOnLCKtHN1RjqOu0etM4TJvo4u4mb/mLYUcAvrHpfPBgY0dWsY/cl768XPIQNrwAVw7/26vl6eAAfGheRLU6p0VJF8xALPJ1O4ibu2iO67GlhTHxr+s4V/zX8MSaSU2NZFLHhpHt0G9vMoU6vNOGtkfTVOGF3Ezf81bCjkE9IrthrkDZzOY9PoMH6ZpYlIamTGhd/636OhozMftJCYk0qN/N4/PRtGs33XD6Hdd2yfgbK9QnbfVasV1qJa42C6k9fWuiM/0/B4w9lIGjL3U61z+mrd87C0EZEQn49BdeHJ+RH/SdR2H7iIj2vNtocGqsbGR+Ph45s2bx3cff0OX+DjDDip0qlCct6ZpWK1WHnjgAb5+/1MSuyVjNgf2EKdn4895yxpyCIgwWRkYl8EPx/cS7cWupb5W62hgYFwGESYv9ysOMnFxcfz9739n9OjRREU1bTeUefvX0qVL6d+/PykpTWuhA/eHx7xlDTlE3JT5U6Mj/EjBzzNHGJ3CZ5RS/Nu//VtLGYPM29+uuOKKljKG8Jm3FHKIuDihLzZLJI1OY88e0eh0YDNHMiShj6E5/E3mHVjhMm8p5BBh1kzc3HMEDS67YduSdV2nwWXn5p4jAn5Ko0CTeQdWuMxbCjmEjM24hFRbIrWOtg9y4w+1jgZSbYmMzbjEkPsPNJl3YIXDvKWQQ4hFM/PohePRIeCn9HG4nOjAYxdOwKKFx3vFMu/ACod5SyGHmN6x3ZnY+2fUOhoCtveeS9epdTQwsffP6BUbep+FPReZd2CF+rylkEPQhF4jGd1jCNX2Or8/aV26TrW9jqtThzCh10i/3lewknkHVijPOzxe64QZTWk8cP44ANaUb8BmjvDLmxAOl5NaRwNXpw7h/oHj0Dqwt2BnJvMOrFCetxRyiDIpjQfPH0e3qHjeKP0Q5bRjM0f4ZO8y3f0STgcm9RnFhF4jw7Ycmsm8AytU5608+QjJ8OHD9S+++MKPcYQ/lFYdYNHmt9hfe4QIzdKhU6k3Oh00uOyk2hJ57MIJYbcNsz1k3oHVGeatlPpS1/XhbV5PCjk82F0O3i1bz8o9n1LrqAeddq9RNK8xoMBmjuTmniMYm3FJ2Ly77w2Zd2AF+7ylkMUZOVxOvjm6g7/tXsfW42WYlYZTd6HTdKxZhUJHx6XrKJpeGjp0FwPjMvh55giGJPQJ+Z0QfEnmHVjBOm8pZNGmBmcjZTWH2V19kB8q91Jlr8OuO7AoM7GWKAbEp5MZk0JGdBIRJqvRcTs9mXdgBdO8pZCFECJItLeQw/utWiGECCJSyEIIESSkkIUQIkh4tA1ZKXUI2O2/OEIIEZIydV1v85xPHhWyEEII/5FNFkIIESSkkIUQIkhIIQshRJCQQhZCiCAhhSyEEEFCClkIIYKEFLIQQgQJKWQhhAgSUshCCBEk/j9ZDcg5DaDp1AAAAABJRU5ErkJggg==\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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Mah/0D7L9HBiehObtWrbOu6bGiOPHj7d4n+DgYMiybNO+994yb2/htEJWSyo81GUYjBaTsG3JnHMYLSY81GWYyy+x42o0b9eyZd6XL1/GsdxcVFRUtng/xhiioqJQWFjYpv+H3jRvb+HUSziNiR6CCEOwsG2bVbIREYZgjIkeIuT5XY3m7VqtzVuWZZw4cQL5+QWwcI62nE0gICAAarUaV65cafW+3jZvb+DUQtZIaszoOwEccPklZmSLGRzAzL4ToZG84wgmmrdrtTTv0tIyHD1yFNeulcNiPe8Fa+OuoFFRUTh//nzD45rjjfP2Bk4tZACI8++EyXF3oUo22n30nq0snKNKNmJy3F2I9feufTNp3q5147wtZgvy8vJw+vQpyGZzk00PktS287v4+vrCz88PFy82fzpNb5630jm9kAFgYuxwjOzcHxWmaqeXhIVzVJiqMSqiPybGDnfqc7krmrdr1c/7csVVHMk9iqtXr8JiuXnutlywITIyEhcvXoRsavpLQ5q3srmkkCUm4dneYxtKwlkfp2WLueHN+kyvsZDaebSgp6J5u5ZsknH6f3fh5427wbXSLU+rZcsZ3XQ6HYKDg3G+6PrZ9mjeyueyjU8qJuG53mMRpg/E+rxvwcwmGNQ6h1xCnVs/wnEAU7qOwMTY4V7/ZqV5u8axY8cwadIkFBQUoKq6Cp0vXEXE+IHg4DBXmZrct63bkOt17twZR4/mIjQ0DBbrGT+9fd5Kx2zZRWrw4MF8//797X7SvPILWJG7GeerrkAnadp1KfVaswyjxYQIQzBm9p1I29Sa0dZ5t+VcFjTvpmJiYlBYWNjkF3D66CB0feYe+HQKgNkog5vqPqEYDAb06dPbpuWfu1iE6lojBnbtQ/P2YIyxA5zzwa3dT8iP2Tj/TsgeOg1Tu42CRqVGpVyDSlNNm/ef5Zyj0lSDSrkGGpUaU7uNQvbQafRmvQWat/Ps2bMHU6dOhV6vb9gkUV1QgmNLNqPwH/vAZTNUBi1UBm2bN1k0nnen0HBc/PQgfs/70by9gJA15MZkixkHS07hn2f34HhZAdRMgplbwFF3WRoGBg5etx8n6j6Ky9yCXgHR+F3MMPQP6ko7xdugpXmXXCmBxBiCgoNo3jY6duwYpk+fjj179qCqqtH5KCSGgIQodHqgH8L6xyE6ItLm9/fHq/8P77//Pnbt2uWQTU7E9dq6hiy8kBszmmtRUHkZZysu4tfSQpSbqmHiMjRMDX+NHj0CoxDjF45o3xDoVFqn5fAWN857xw+7wNQqDB7wG5q3nb766iuMGTMGKpWqyWW2AOCh30/Eax+8ZfP722w2Y+DAgVi6dCkeeughV78k4gBtLWS32qNcp9IivkME4jtE4N6IgaLjKN6N8z73t73w8fFB0h89/7JLohw7dgz33nsvnnzyScycORPl5eWorKw7ZLqDwc+u97dKpUJWVhZefvlljB07tl1XFiHujX5VS4iDlJWVIS0tDdnZ2XjkkUdw9uxZpKWlwd/fHyqVqtWrfrfkwQcfRGRkJN5//30HJibuhgqZEAfJzs7G2LFjG06LqtVqMWvWLBQUFOCVV17B6NGj7V42YwzZ2dlYvHgxKioqHBWZuBn67EOIAxQWFuLdd9/FoUOHbvpeQEAAsrKy2v0cgwYNwsiRI/H6669j0aJF7V4ecT+0hkyIAyxatAjPPfccoqKce6HRtLQ0rFixAhcuXHDq8xAxqJAJaacjR47gs88+w5w5c5z+XHFxcXjiiSewePFipz8XcT0qZELaKTk5GSkpKQgICHDJ86WkpGDDhg2tXoGEeB4qZELaYceOHTh+/Dief/55lz1nUFAQkpKSMHfuXJc9J3ENKmRC7GSxWJCUlISMjAxota49cGb69On48ccf8d1337n0eYlzUSETYqd169ZBkiRMnjzZ5c/t4+ODtLQ0JCYmCruGInE8KmRC7GA0GjFv3jzk5OQIO7/E1KlTUV1djY0bNwp5fuJ4VMiE2OGdd95Bv379MGLECGEZJElCTk4OkpOTYTKZWn8AcXtUyITY6OrVq8jIyEBmZqboKBg9ejS6du2KVatWiY5CHIAKmRAbZWZmYsKECejTp4/oKACArKwsLF26FNeuXRMdhbQTFTIhNsjPz8d7772H1NRU0VEaDBgwAA888ABycnJERyHtRIVMiA0WLFiAl156CREREaKjNLF06VK88847OH/+fOt3Jm6LCpmQNjp48CC2bduGxMRE0VFu0qVLF0ybNo1OOuThqJAJaaM5c+ZgwYIF8Pf3Fx2lWXPnzsWWLVuQm5srOgqxExUyIW2wbds25OXl4ZlnnhEd5ZYCAwMxd+5cJCcni45C7ESFTEgr6g+RzszMhEajER2nRS+++CKOHj2Kr7/+WnQUYgcqZEJasWbNGhgMBkycOFF0lFbpdDqkp6cjMTERFotFdBxiIypkQlpQU1OD+fPnCz1E2lZTpkwB5xzr168XHYXYiAqZkBasXLkSgwYNwvDhw0VHabP6Q6rnzZsHo9EoOg6xARUyIbdw5coVZGdnIyMjQ3QUm40cORK9evXCu+++KzoKsQEVMiG3kJ6ejsmTJ6Nnz56io9glKysL6enpKC0tFR2FtBEVMiHNyMvLw0cffeTRB1okJCRg3LhxDrniNXENKmRCmjF//nzMmDED4eHhoqO0y+LFi7Fq1SoUFBSIjkLagAqZkBscOHAAO3fuxOzZs0VHabeoqCg8//zzWLhwoegopA2okAlphHOOxMREpKamws/PT3Qch0hKSsLWrVtx+PBh0VFIK6iQCWnkyy+/RFFREZ566inRURwmICAA8+fPx5w5c0RHIa2gQibEymw2IykpCVlZWVCr1aLjONRzzz2HEydOYPv27aKjkBZQIRNitXr1anTs2BHjx48XHcXhtFotMjIykJSURIdUuzEqZEIAVFVVYeHChR51iLStHn74YWg0Gqxdu1Z0FHILVMiEAFi+fDmGDRuG22+/XXQUp2GMIScnBykpKaipqREdhzSDCpl4vUuXLuH1119Henq66ChOd/fdd6N///54++23RUchzaBCJl4vLS0Njz32GOLj40VHcYnMzExkZmaipKREdBRyAypk4tVOnjyJNWvWYMGCBaKjuEzv3r0xadIkjzxpktJRIROvlpKSgtmzZyM0NFR0FJdKTU3FBx98gDNnzoiOQhqhQiZea+/evdi9ezdmzZolOorLde7cGX/605+86pOBJ6BCJl6Jc46kpCQsWbIEBoNBdBwhXn31VWzfvh0//fST6CjEigqZeKXPPvsMV65cwR//+EfRUYTx9/fHwoULkZiYCM656DgEVMjEC8myjDlz5iA7OxsqlUp0HKGmTZuGgoICbNu2TXQUAipk4oU+/PBDdOrUCWPGjBEdRTiNRoPMzEwkJSXBbDaLjuP1qJCJV6msrERqaiqys7MVe4i0rSZMmAA/Pz98/PHHoqN4PSpk4lXeeOMNjBgxAoMHDxYdxW3UH1K9YMECVFdXi47j1aiQide4ePEili9fjmXLlomO4nbuuOMODBkyBCtWrBAdxatRIROvsWTJEjz++OOIi4sTHcUtZWRkICcnB5cvXxYdxWtRIROv8Msvv+CTTz5BSkqK6Chuq0ePHpgyZQp9ghCICpl4hXnz5iExMRHBwcGio7i1hQsXYvXq1Th9+rToKF6JCpko3vfff499+/Zh+vTpoqO4vfDwcMyaNYs+SQhChUwUrf4q0mlpadDr9aLjeITZs2dj165d2Ldvn+goXocKmSja5s2bUVlZialTp4qO4jF8fX2RmppKh1QLQIVMFMtkMiE5OZkOkbbDk08+ieLiYmzdulV0FK9ChUwU67333kNMTAzuv/9+0VE8jlqtRlZWFpKSkiDLsug4XoMKmShSeXk5lixZgqysLNFRPNa4ceMQEhKCjz76SHQUr0GFTBTptddew+jRozFw4EDRUTxW/SHVixYtQmVlpeg4XoEKmShOUVER3nrrLSxdulR0FI83dOhQDB8+HH/+859FR/EKVMhEcVJTU/H0008jJiZGdBRFSE9Px5tvvoni4mLRURSPCpkoys8//4xNmzZh7ty5oqMoRrdu3TB16lT6xOECVMhEUZKTk5GcnIyOHTuKjqIo8+fPx9q1a3HixAnRURSNCpkoxq5du3D48GG89NJLoqMoTmhoKF555RX65OFkVMhEEeoPkV62bBl0Op3oOIo0c+ZM7N27F3v27BEdRbGokIkibNiwAbIs49FHHxUdRbEMBgOWLFlCh1Q7ERUy8Xi1tbWYO3cucnJyIEn0lnamxx9/HKWlpfj0009FR1EkevcSj/eXv/wFPXr0wKhRo0RHUTyVSoXs7GzMmTOHDql2Aipk4tHKysqQlpZGh0i70IMPPojIyEi8//77oqMoDhUy8WjZ2dkYO3Ys+vXrJzqK12CMITs7G4sXL0ZFRYXoOIpChUw8VmFhId59910sWbJEdBSvM2jQIIwcORKvv/666CiKQoVMPNaiRYvw7LPPIioqSnQUr5SWloYVK1bgwoULoqMoBhUy8UhHjhzBZ599huTkZNFRvFZcXByeeOIJLF68WHQUxaBCJh4pOTkZKSkpCAgIEB3Fq6WkpGDDhg04fvy46CiKQIVMPM6OHTtw/PhxPP/886KjeL2goCAkJSXRIdUOQoVMPIrFYkFSUhIyMjKg1WpFxyEApk+fjh9//BHfffed6CgejwqZeJR169ZBkiRMnjxZdBRi5ePjg7S0NDqk2gGokInHMBqNmDdvHnJycsAYEx2HNDJ16lRUV1dj48aNoqN4NCpk4jHeeecd9OvXDyNGjBAdhdxAkiTk5OQgOTkZJpNJdByPRYVMPMLVq1eRkZGBzMxM0VHILYwePRpdu3bFqlWrREfxWFTIxCNkZmZiwoQJ6NOnj+gopAVZWVlYunQprl27JjqKR6JCJm4vPz8f7733HlJTU0VHIa0YMGAAHnjgAeTk5IiO4pGokInbW7BgAV566SVERESIjkLaYOnSpXjnnXdw/vx50VE8DhUycWsHDx7Etm3bkJiYKDoKaaMuXbpg2rRpWLRokegoHocKmbi1OXPmYMGCBfD39xcdhdhg7ty52LJlC3Jzc0VH8ShUyMRtbdu2DXl5eXjmmWdERyE2CgwMxNy5c+nkTzaiQiZuqf4Q6czMTGg0GtFxiB1efPFFHD16FF9//bXoKB6DCpm4pTVr1sBgMGDixImioxA76XQ6pKenIzExERaLRXQcj0CFTNxOTU0N5s+fT4dIK8CUKVPAOcf69etFR/EIVMjE7axcuRKDBg3C8OHDRUch7VR/SPW8efNgNBpFx3F7VMjErVy5cgXZ2dnIyMgQHYU4yMiRI9GrVy+8++67oqO4PSpk4lbS09MxefJk9OzZU3QU4kBZWVlIT09HaWmp6ChujQqZuI28vDx89NFHdECBAiUkJGDcuHHIysoSHcWtUSETtzF//nzMmDED4eHhoqMQJ1i8eDFWrVqFgoIC0VHcFhUycQsHDhzAzp07MXv2bNFRiJNERUXh+eefx8KFC0VHcVtUyEQ4zjkSExORmpoKPz8/0XGIEyUlJWHr1q04fPiw6ChuiQqZCPfll1+iqKgITz31lOgoxMkCAgIwf/58zJkzR3QUt0SFTIQym81ISkpCVlYW1Gq16DjEBZ577jmcOHEC27dvFx3F7VAhE6FWr16Njh07Yvz48aKjEBfRarXIyMhAUlISHVJ9AypkIkxVVRUWLlxIh0h7oYcffhgajQZr164VHcWtUCETYZYvX45hw4bh9ttvFx2FuBhjDDk5OUhJSUFNTY3oOG6DCpkIcenSJbz++utIT08XHYUIcvfdd6N///54++23RUdxG1TIRIi0tDQ89thjiI+PFx2FCJSZmYnMzEyUlJSIjuIWqJCJy508eRJr1qzBggULREchgvXu3RuTJk2ik0lZUSETl0tJScHs2bMRGhoqOgpxA6mpqfjggw9w5swZ0VGEo0ImLrV3717s3r0bs2bNEh2FuInOnTvjT3/6E31iAhUycSHOOZKSkrBkyRIYDAbRcYgbefXVV7F9+3b89NNPoqMIRYVMXOazzz7DlStX8Mc//lF0FOJm/P39sXB/ThLkAAARfElEQVThQiQmJoJzLjqOMFTIxCVkWcacOXOQnZ0NlUolOg5xQ9OmTUNBQQG2bdsmOoowVMjEJT788EN06tQJY8aMER2FuCmNRoPMzEwkJSXBbDaLjiMEFTJxusrKSqSmpiI7O5sOkSYtmjBhAvz8/PDxxx+LjiIEFTJxujfeeAMjRozA4MGDRUchbq7+kOoFCxagurpadByXo0ImTnXx4kUsX74cy5YtEx2FeIg77rgDQ4YMwYoVK0RHcTkqZOJUS5YsweOPP464uDjRUYgHycjIQE5ODi5fviw6iktRIROn+eWXX/DJJ58gJSVFdBTiYXr06IEpU6Z43ScrKmTiNPPmzUNiYiKCg4NFRyEeaOHChVi9ejVOnz4tOorLUCETp/j++++xb98+TJ8+XXQU4qHCw8Mxa9Ysr/qERYVMHK7+KtJpaWnQ6/Wi4xAPNnv2bOzatQv79u0THcUlqJCJw23evBmVlZWYOnWq6CjEw/n6+iI1NdVrDqmmQiYOZTKZkJycTIdIE4d58sknUVxcjK1bt4qO4nRUyMSh3nvvPcTExOD+++8XHYUohFqtRlZWFpKSkiDLsug4TkWFTBymvLwcS5YsQVZWlugoRGHGjRuHkJAQfPTRR6KjOBUVMnGY1157DaNHj8bAgQNFRyEKU39I9aJFi1BZWSk6jtNQIROHKCoqwltvvYWlS5eKjkIUaujQoRg+fDj+/Oc/i47iNFTIxCFSU1Px9NNPIyYmRnQUomDp6el48803UVxcLDqKU1Ahk3b7+eefsWnTJsydO1d0FKJw3bp1w9SpUxX7SYwKmbRbcnIykpOT0bFjR9FRiBeYP38+1q5dixMnToiO4nBUyKRddu3ahcOHD+Oll14SHYV4idDQULzyyiuYN2+e6CgOR4VM7FZ/iPSyZcug0+lExyFeZObMmdizZw/27NkjOopDqUUHIK6Xn5+PnTt33nT74cOHodFomt3X87777kNkZGST2zZs2ABZlvHoo486LSshzTEYDFiyZAkSExOxa9eumy4NtmvXLhQWFuKxxx4TlNBOnPM2fw0aNIgTz7d69WouSRL39fVt8qXRaLhGo7npdkmS+IYNG5osw2g08m7duvGvvvpK0Ksg3k6WZZ6QkMA3b97ccNuxY8f4vffey9VqNe/Zs6fAdE0B2M/b0LG0ycILTZkyBcHBwaisrGzyZTKZYDKZbrq9c+fOmDBhQpNl/OUvf0GPHj0watQoQa+CeDuVSoXs7GzMmTMHBQUFePzxx/Gb3/wGO3fuhCzLHnlNPtpk4YW0Wi3S0tIwe/bsVo968vPzQ2ZmZpMTBZWVlSEtLQ3bt293dlRCWjR8+HDU1NSgW7duAOpOblXPaDSKimU3xm04pd3gwYP5/v37nRiHuEptbS2i42JQqZWhjw6CX9cwqP11YGo1uCxDLjei4nQx/I1qHP32AAxan4bHpqSkoKioCB988IHAV+B5jOZaFFRewpnyYpwoK8Q1UxVMFjM0kgodNAZ0D4hCrH8Yon1DoVNpRcd1ayaTCatWrUJKSgpqamqaLd+OocH4z8lDbjFvxtgBznmrl12nQvYyssWMg1dO4Z/5e/CfglxcvlgMbv2FCLdYAA6AAUySIEkMYaFh8PX3Q6+AaIyP+S1Cq33wmwEDcejQIURFRYl9MR6g8byPlxVAzSTI3AIAkBgDAwMHh8X677D++/XzHhDUDWqJTmNaj3OOTZs2YcaMGSgtLb35E57EENAvGp3uT0CHnp3QvWu8W8ybCpk0YbLI+KJgH7ac/R5Vct3ahF6lxZEjR2AyNX9KQ61Wg379bgPAGx5z6dwFRF/xwaoZ6dBItMXrVpqbt0Gtu2lvgOZwfn3eBo0PHuoyDGOih9C8Abzwwgv461//CrPZ3OR2ppYQdm8fdH7wNqj0WnAAlupaDBo0qNVlumLeVMikQV75BazI3YzzVVegkzTQqq6/0S5duozCggKYLZYmj1GpJHTpEoPg4KCG26qrq3Hi9EnEdOuKKP9QzOw7EbH+4S57HZ6ipXnbqtYsw2gxIcIQTPMGcPz4cUycOBH5+fmoqqoCAOijg9D1mXvg0ykAZqMMbrpe1oMHDQJa/xnYwFnzpkImsHALNp3ZjfV534Kh+TU0zjkOHz5801py/dpx47ufOHECAQEBCA0NbVijeDjuLkyMHQ6J0Q47bZm3PRqvwdG867YfL1iwACtWrkDgyB6I+N1AcM5hrjI1uR9jwMCBAyFJts3KGfNuayHTZyCFMnMLVv38OXYWHYJBrbvldjHGGCIiIpusJatUEiIjo5qU8bVr5aipMSI+PhSMMfhqfCBbzFh3+hsUV5fi2d5jofLikmjrvO1B825Ko9FgWUY61PfFYXvBAdRWVMMiW266H2MMFovF5kIWOW/v/D+qcJZG5eCn0bdaDiEhwZBU198KKpUKQUHXN1WAA4WFhYiKjGyyxqeWVPDT6LGz6BD+evxzWPjN/yi8ga3zthfNu079vH9ll9Artjs6BnS8RenWFbK9RMybClmBNp3Z3VAOUhs+MtevJTPGIDF209pxydUSMAZ0DLr5bG4SY/DT6LHj/CFsOrPbkS/DY9g67/ageTedt1qtQlxcLLp16wq1StVkhYExwGJp35WqXT1vKmSFySu/gPV538Kg1tlUDiEhwWCMgUmsydoxt3CcO3euxV3cJMZgUOuwPu9bnCm/2K78nsbeebcHzfvmeQcEBCChXwI6dPBvWFvmnLdrDbmeK+dNhawgJouM5bmbwACbPzYzxhAZGYGoG9aOiy8VQ6/Xw9/fv8XHqyUVGIDluZtgsij7ysD12jPv9qJ53zxvtVqN7t27I6ZLF0gSg8XCYbGYb16QHVw1bypkBfmiYB+KqkpgUNt3Kszw8HCEhoU2/N0sm3HhwgVERrbtABCDWofzVVfwRcE+u57f07R33u1F825ecEgwEhISoNNpYcNOZK1yxbypkBVCtpixJf8H6CSNQ3a1AoCiC0UIDAyEXu/T+p1Rt5atkzTYkv8DZAetmbgrZ8zbVjTvW9NqtejXrx/8/f0clsEV86ZCVoiDJadQZapp10EIjdXW1uLy5cuIiIiw6XFalRpVcg0OlZx2SA53YDabsXTpUpw8ebLhNkfP215KnDcA/OEPf8DKlSsb/u4t86ZCVohPz/7g0OWdO3cOYWFh0Gg0tj+YOz6PSOXl5Vi0aBH69euHKVOm4OTJk+71+hQ2bwD4+9//jhkzZsDPzw8rV650r9fnxHnTgSEKYDTX4peyQvip27Zp4UbrHklDdUk5WP2+yBzoOCQOY5dMs2t5BrUOx8sKYDTXKuasZRqNBjU1Ndi4cSP++eXnGPruU4gK6QTY8fMKAE599RNyP9mFq3kXoPbRwr9zEOIfHIzeE+6weROIEuddr7KyErNefRmD3nkC4YHB8A2z/T2+7pE03Jn0CCIH92i47dcv/oNfP9uLcW9Pt3l5zpw3FbICFFRegppJ7dqWOTrz6YY37K+/nkDHwECoVPZ9gGKMQc0kFFReRnwH2zZ5uDtZlqELCkRF2TUcKy5BYGAgIiMjbbqm4JG/f43Da3fijpcnIXJoT2j0Olw5cQ5H//41eo69HSqtbf8slTxvANBHdIS5VkZBfiHOF55HZFQkwsLChOVx5rxpk4UCnCkvbjjFYHtdu3YNtbVGhISGtGs5Zm7B2Qpl7iOrjw4CJAkWC8fVq1eRm5uL06dPt+mE6LUV1fjxg3/hjpd/j7h7+kNr8AFjDCE9onDPwj/YXMb1lD7v+k9vZosF+fkF+OnHn1BcXCwsk7PmTYWsACfKCh2yHG49RLruSL327TnAAfxa6phc7sav6/W1M85hUzEX556F2SQj5s6+Ds3kLfOuJ7qYnTVv2mShANdMVe0+Smx7yocAY+DcAsYYuj96JyJHJti9PLMa+OLnbTi04vN25XIHRqMRsnz9YAC1v67uZP6NcF53ZNjVkqu4evUqDAZf9O7d66Zl1ZRVwifAF5Jaherqapw+nYejOf9EdVEpLLIZvac/gA7dO9mckelU+GDHQazcOMf2F+iGGp/vuLl5N9zPWswFBQXo27cvfHya38a8PeXDJudrMZvMCOkR2ex920JiDOUmx1+zjwpZAUwWM5gtJ31txn3LnkSHnhGoqCiHWt3+t4WJWRAYoseAAbaXi7upqqqCJEkNh+EytbpuFakZjDGAAb6+hma/r+tgQE1ZJSyyGWq1GgaDHkMWPgIA+P7lD6HVaKHXN//YlljUDP5hweg+YIDNj3VHx48fR/2pgVuadz2VStXiHkH3LXuy2V/q2YuBwcQdf8QeFbICaCQVeGvv2Dbw9/dz2I70lXINEoLi8Xz/RxyyPJFKS0sxd+7chr9zWb7ppOcqqe6Xqp0jOiM0NPSWp3wM6xsLlUaNs9/lIu6e2xAXF9fwvb1qNSIiOqNz17hmH9uSSrkGAxPikTTD8+cNAJ988knDWnJz866n1+vRtWsc9Hq9C9MBHBwa5vj6pEJWgA4aQ8M1wtyFhXP4a1z7j8RV5HIjmLVw21rE9XT+egx8YjS+f/MfAHjdXhY+WpScKoJcXWt3Jm+Zdz1RRVzPWfOmQlaA7gFR+PrC4XYt49/J71/fDxlA5OAeuG/Zk3YvjwHoEajMi6BWnC5G6J09oFap2lzEjd322CgYQgJw+G878c2ytdD4aOEfEYwhz49FWEKsXZmUPu/gO7oDEF/E9Zw1bypkBYj1D4O6HVczmPLJfAemqaNiEmL8lHf9N19fX6jLTAgOCkbn7mE2X42iXvz9gxB/f+sX4Gwrpc4bAKoLSqDVaNCzbze7iri593ePMUPRY8xQuzM5a96025sCRPuGQuYW2HJ9RGfinEPmFkT7hrZ+Zw9RW1uLwMBALF26FD/vPogOgQHCTip0IyXOu16/fv2wa8u/ER3T5ZZ7ULiaM+dNa8gKoFNp0SsgGr+WFcJXI/5NWyUb0SsgGjqVnccVu5mAgAB8/vnnGDlyZMMaGs3buVasWIG7774bCQl1u172OnDYK+ZNa8gKMT7mt6IjXMeA38UME53CYRhj+K//+q8mH5dp3s714osvNpQx4D3zpkJWiAFB3WDQ+KDWLPbqEbVmGQa1D/oHdRWaw9lo3q7lLfOmQlYItaTCQ12GwWgxCduWzDmH0WLCQ12GufySRq5G83Ytb5k3FbKCjIkegghDMKrk1k9y4wxVshERhmCMiR4i5PldjebtWt4wbypkBdFIaszoOwEccPklfWSLGRzAzL4ToZG843fFNG/X8oZ5UyErTJx/J0yOuwtVstFlR+9ZOEeVbMTkuLsQ66/MfWFvhebtWkqfNxWyAk2MHY6RnfujwlTt9DethXNUmKoxKqI/JsYOd+pzuSuat2sped7e8VnHy0hMwrO9xwIAdhYdgkGtc8ovIWSLGVWyEaMi+uOZXmMhteNoQU9G83YtJc+bClmhVEzCc73HIkwfiPV534KZTTCodQ45uoxbP8JxAFO6jsDE2OFeWw71aN6updR5M1t2IRk8eDDfv3+/E+MQZ8grv4AVuZtxvuoKdJKmXZdSrzXLMFpMiDAEY2bfiV63DbMtaN6u5QnzZowd4JwPbvV+VMjewWSR8UXBPmzJ/wFVcg3A0eY1ivo1BjDAoPbBQ12GYUz0EK/57b49aN6u5e7zpkImzZItZhwsOYV/nt2D42UFUDMJZm4BR91laRgYODgsnIOh7qOhzC3oFRCN38UMQ/+groo/CMGRaN6u5a7zpkImrTKaa1FQeRlnKy7i19JClJuqYeIyNEwNf40ePQKjEOMXjmjfEOhUWtFxPR7N27Xcad5UyIQQ4ibaWsje/ataQghxI1TIhBDiJqiQCSHETdi0DZkxdgnAWefFIYQQRYrhnLd6zSebCpkQQojz0CYLQghxE1TIhBDiJqiQCSHETVAhE0KIm6BCJoQQN0GFTAghboIKmRBC3AQVMiGEuAkqZEIIcRP/H3DE5CeOoiv3AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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IV8W0wWQModrqmmMjhRAkJydx8OBBHNkTUm21YDKE0D3G8XNg+BJX19tZqt6XVllZRUFBwRUfExsbi8ViqTucsTECpd6Bwm0N2aDTM6xVX6psZpftS46Ojsag13P61KlGPV7TNKpsZoa16uvxS+x4mjvq7ShV70s7efIk2/LzKS0tu+LjagYdyfZBR8P/hoFU70Dh1ks4DUnpTaIp1qX72pJTkjl0+BA2W8MnLyq3VJFoimVISm+Xrd+buaPejlD1Pp/FYmHXrl0cOFCETdNozNkEoqKiMBgMnGrEoCPQ6h0I3NqQjToD4zLuRAOXXWImLCyMsLBwjh8/fsXHWWxWNGB8xnCMusCYweSOejeWqvf59T57tpi8rXmcO1dSN3gQjTwUNDk5mcOHD19x0BGI9Q4Ebm3IAOkRCYxMv55yS5XTs/culJSUxNGjR887v0B9Nk2j3FLFyPTrSYsIrGMz3VHvhqh6/1Jvm9VGYWEhe/fuwWK1nrfrQadr3PldwsLCCA8P59ixS59OM5Dr7e/c3pABhqf146aW3Sk1V7ikSdTMborhyJGLz9dr0zRKzRXcnNid4Wn9mrwuX+Tqel+Jqvcv9T5Zeoat+XmcOXMGm+3iujtywYakpCSOHTuGxXz+oEPV2795pCHrhI5HOg2taxKu+Did2DKRU6dOUVX1y/47i81at7H+seNQdE2cLeir3FHvS1H1rmExW9j795Vs/2g1WpDusqfVcuSMbsHBwcTGxnL4yC9n21P19n8e2/mkFzrGdBpKXGg07xd+j7CaMRmCnb7MU/3ZTenp6ZRbqtCAUa0HMDytX8BvrK6ud32a/SOzqjds27aNu+66i6KiIsoryml59AyJt/dAQ8Nabj7vsY3dh1yrZcuW5OXl06JFHDb7GT8Dvd7+TjhyiFSvXr20n3/+uckrLSw5yov5n3C4/BTBOqPTl1K32WzkFWwjMSWJ9JgkxmcMV/vULsFV9Yaa416rbGYSTbGq3kBqaioHDx487wu40JQYWv/xRkISorBWWdDMNZ9QTCYTnTt3cmj5h44doaK6ih6tO6t6+zAhxHpN03o19Dgpb7PpEQnk9nmY0W1uxqg3UGappMxc2ejjZzVNo8xcSYWtmsS4BE5/vo2FvR9SG+tluKreZZZKjHoDo9vcTG6fh1W9gTVr1jB69GhCQ0PrdklUFJ1m25xPOPjhOjSLFb0pCL0pqNG7LOrXO6FFPMf+u4m7ta6q3gFAygi5PovNyqbTe/h0/xoKioswCB1WzYZGzWVpBAINreY4Tmo+ils0Gx2jUrgjtS9dIlvR8+qe5OTkcNttt7k0mz9qar27x7RWkxAuYdu2bTz55JOsWbPm/JNg6QRRXZJJ+FVX4rqnk5KY5HC9//XWP3n99ddZuXKlS3Y5KZ7X2BGy9IZcX5W1mqKyk+wvPcbOswcpMVdg1iwYhYEIYyjto5NJDY8nJaw5wfpfLuv02WefkZmZyebNm5t0ku9A42y9lcv75ptvGDJkCHq9/rzLbAEMu3s4z73xksP1tlqt9OjRg7lz5zJs2DBPvyTFBRrbkNE0rdE/PXv21LyRzWbTbrzxRu21116THUUJcC+++KJ26623au+++66WkJCghYWFadgvb/j73//e6eUuXbpU69Chg2Y2m12YVvEU4GetET3WL76qFUKQm5vLzJkzKSu78vkCFMVdiouLmTdvHrm5udxzzz3s37+fefPmERERgV6vb/Cq31dy6623kpSUxOuvv+7CxIq38YuGDNC7d29uuOEGnn/+edlRlACVm5vL0KFD606LGhQUxFNPPUVRURETJ05k0KAmXILMPuiYPXs2paWlroqseBmv2ofcVHv37qVPnz5s27aNuLg42XGUAHLw4EG6d+/O5s2bSU5237XtRo8eTfv27Zk5c6bb1qG4nk9+qecKEyZMwGw289JLL8mOogSQhx56iPj4eObPn+/W9RQWFtKrVy/y8/NJSEhw67oU1wnYhnzq1Ck6duzI6tWrad++vew4SgDYunUrAwcOZOfOnURFRbl9fRMnTqS8vJxXXnnF7etSXMOrJ4a4U2xsLM888wxTpkyRHUUJENnZ2UydOtUjzRhg6tSpfPDBBw1egUTxPX7XkAHGjRvHTz/9xI8//ig7iuLnli9fTkFBAY8++qjH1hkTE0NmZiaTJ0/22DoVz/DLhhwaGsrcuXOZNGmStMsZKf7PZrORmZnJggULCAry7MSZJ598kg0bNrBq1SqPrldxL79syAD33nsvJSUlLFmyRHYUxU+9++676HQ6Ro4c6fF1h4SEMG/ePDXo8DN+25D1ej25ublkZWVhNpsbfoKiOKCqqoopU6awaNEiaeeXGD16NBUVFXz00UdS1q+4nt82ZIDBgwfTqlUrNbtJcbmXX36Zrl27MmDAAGkZdDodixYtIjs7Ww06/IRfN+T6s5tKSkpkx1H8xJkzZ1iwYAE5OTmyozBo0CBat27Nq6++KjuK4gJ+3ZABevTowcCBA/nTn/4kO4riJ3Jycrjzzjvp3Lmz7CgALFy4kLlz53Lu3DnZUZQm8ruJIZeyf/9+rr76avLy8mjZsqXsOIoPO3DgAD169GDr1q0kJibKjlPn/vvvp1WrVsydO1d2FOUSAnZiyKWkpqby4IMPMnv2bNlRFB83ffp0xo4d61XNGGDu3Lm8/PLLHD58uOEHK14rIEbIULPfr0OHDnz33Xd06uTYdc0UBWDTpk0MGTKEnTt3EhERITvORbKysjh9+jSvvfaa7CjKBdQI+QLNmjUjKytLzW5SnJaVlcX06dO9shkDTJ48mSVLlpCfny87iuKkgGnIAGPHjmXTpk18//33sqMoPuarr76isLCQP/7xj7KjXFZ0dDSTJ08mOztbdhTFSQHVkENCQnj22WfV7CbFIbVTpHNycjAajbLjXNHjjz9OXl4e3377rewoihMCqiED/Pa3v6W6upoPP/xQdhTFR7z99tuYTCaGDx8uO0qDgoODmT9/PpMmTcJms8mOozgo4Bpy7eymyZMnU11dLTuO4uUqKyuZNm2a1CnSjho1ahSapvH+++/LjqI4KOAaMsAtt9xC27Zt1ewmpUGLFy+mZ8+e9OvXT3aURqsddEyZMoWqqirZcRQHBMxhbxfasmULgwcPZufOnURGRsqOo3ih2qvPrFq1ig4dOsiO47ChQ4cyePBgxo8fLztKwFOHvTWgW7duDBkyhNzcXNlRFC81f/58Ro4c6ZPNGGqmVM+fP5+zZ8/KjqI0UsCOkAGKioq46qqr2LJlC0lJSbLjKF6ksLCQ3r17k5+fT3x8vOw4TnvooYeIi4tjwYIFsqMENDVCboSUlBQeeeQRdUl15SLTpk1j3LhxPt2MAWbPns2rr75KUVGR7ChKIwR0Q4aaC1R++umn5OXlyY6ieIn169ezYsUKnn76adlRmiw5OZlHH32UGTNmyI6iNELAN+SoqCimTJmiZjcpAGiaxqRJk5g1axbh4eGy47hEZmYmS5cuZcuWLbKjKA0I+IYM8Nhjj7F9+3ZWrFghO4oi2RdffMGRI0d48MEHZUdxmaioKKZNm0ZWVpbsKEoDVEMGgoKCmD9/PpmZmWp2UwCzWq1kZmaycOFCDAaD7DguNWbMGHbt2sWyZctkR1GuQDVku5EjRyKE4L333pMdRZHkrbfeolmzZtx+++2yo7hcUFAQCxYsUIMOL6casp1OpyM3N1fNbgpQ5eXlzJgxw6emSDtqxIgRGI1G3nnnHdlRlMtQDbmeG2+8kYyMDF555RXZURQPe+GFF+jbty/XXHON7ChuI4Rg0aJFTJ06lcrKStlxlEsI6Ikhl5Kfn89NN93Ezp07iY6Olh1H8YATJ07QqVMn1qxZQ9u2bWXHcbthw4Zxww03MHHiRNlRAoaaGOKkjIwMhg0b5hWXeFc8Y968efzud78LiGYMNVfNzsnJ4fTp07KjKBdQI+RLOHz4MF27dmXjxo20atVKdhzFjXbv3s21117L9u3badGihew4HjNmzBgiIyNZtGiR7CgBQY2QmyAxMZHHH39czW4KAFOnTuXpp58OqGYMMGvWLN544w327dsnO4pSj2rIlzFp0iS++OILNm/eLDuK4iZr165l9erVPPXUU7KjeFzLli154oknmD59uuwoSj2qIV9GZGQk06dPV7Ob/JSmaWRmZjJnzhxMJpPsOFI888wzLFu2jI0bN8qOotiphnwFjzzyCHv37uXrr7+WHUVxsf/973+cOnWK+++/X3YUaSIiIpgxY4a66K8XUQ35CoxGo5rd5IcsFgtZWVnk5uai1+tlx5Hq4YcfpqioiK+++kp2FAXVkBt01113ERISwr///W/ZURQXefPNN0lISGDIkCGyo0hnNBrJyckhMzMTq9UqO07AUw25AWp2k38pKytj1qxZ5Obm+u0UaUfdeeedhIeH869//Ut2lICnGnIj9O/fn6uvvpqXXnpJdhSlif785z8zYMAAevVq8JDQgFE76Jg+fToVFRWy4wQ0NTGkkQoKCrj++uvZsWMHMTExsuMoTjh27BgZGRmsW7eO9PR02XG8zt13302fPn3UkUVuoCaGuFjHjh0ZMWIE8+fPlx1FcdKcOXO47777VDO+jAULFrBo0SJOnjwpO0rAUiNkBxw9epSMjAzWr19PWlqa7DiKA3bs2EH//v0pKCggNjZWdhyvNXbsWIKCgnj++edlR/EraoTsBgkJCYwbN45p06bJjqI4aMqUKUyaNEk14wbMmDGDt956i71798qOEpBUQ3bQxIkTWb58ORs2bJAdRWmkH374gXXr1vHkk0/KjuL14uPjeeqpp5g6darsKAFJNWQHhYeHM3PmTDW7yUfUXkV63rx5hIaGyo7jE55++mlWrlzJunXrZEcJOKohO+Ghhx7i0KFDfPnll7KjKA345JNPKCsrY/To0bKj+IywsDBmzZqlBh0SqIbsBIPBwMKFC9XsJi9nNpvJzs5WU6Sd8Ic//IHjx4+zdOlS2VECimrITrrjjjuIiorin//8p+woymX87W9/IzU1lcGDB8uO4nPqDzosFovsOAFDNWQnqdlN3q2kpIQ5c+awcOFC2VF81m233Ubz5s35xz/+ITtKwFANuQmuvfZarr32Wl544QXZUZQLPPfccwwaNIgePXrIjuKzagcdM2fOpKysTHacgKAmhjTRrl276Nu3LwUFBTRv3lx2HAU4cuQIXbp0YcOGDaSmpsqO4/NGjRpFt27d1KFwTdDYiSGqIbvAk08+iV6v5y9/+YvsKAo1F/CMiooiNzdXdhS/sGfPHq655hq2bdtGXFyc7Dg+STVkDzp+/DidO3dm7dq1tGnTRnacgLZ9+3YGDBjAjh07aNasmew4fmP8+PHYbDYWL14sO4pPUlOnPSguLo4JEyaoj3ReIDs7m+zsbNWMXWzatGm888477Nq1S3YUv6YasotMmDCBVatW8dNPP8mOErBWrlzJli1bGDt2rOwofqdFixZMnDiRyZMny47i11RDdhGTycTs2bPJzMxUs5skqJ0i/eyzzxIcHCw7jl8aP348a9euZc2aNbKj+C3VkF3o/vvv5+TJk3z22WeyowScDz74AIvFwm9+8xvZUfyWyWRizpw5akq1G6mG7EK1s5uysrLU7CYPqq6uZvLkySxatAidTm3S7nTfffdx9uxZ/vvf/8qO4pfU1utiv/71r4mLi+Pvf/+77CgB469//Svt27fn5ptvlh3F7+n1enJzc9Wgw01UQ3YxIQS5ublqdpOHFBcXM2/ePDVF2oNuvfVWkpKSeP3112VH8TuqIbtB7969ueGGG9RlcDwgNzeXoUOH0rVrV9lRAkbtoGP27NmUlpbKjuNX1MQQN9m7dy99+vRRs5vc6ODBg3Tv3p3NmzeTnJwsO07AGT16NO3bt2fmzJmyo3g9NVPPC0yYMAGz2cxLL70kO4pfeuihh4iLi2PBggWyowSkwsJCevXqRX5+PgkJCbLjeDXVkL3AqVOn6NixI6tXr6Z9+/ay4/iVrVu3MnDgQHbu3ElUVJTsOAFr4sSJlJeX88orr8iO4tXU1GkvEBsbyzPPPMOUKVNkR/E72dnZTJ06VTVjyaZOncoHH3xAQUGB7Ch+QTVkNxtsLDMgAAAYnklEQVQ3bhw//fQTP/74o+wofmP58uUUFBTw6KOPyo4S8GJiYsjMzFRTql1ENWQ3Cw0NZe7cuWp2k4vYbDYyMzNZsGABQUFBsuMo1Jx+dsOGDaxatUp2FJ+nGrIH3HvvvZSUlLBkyRLZUXzeu+++i06nY+TIkbKjKHYhISHMmzdPDTpcQDVkD6g/u8lsNsuO47OqqqqYMmUKixYtQgghO45Sz+jRo6moqOCjjz6SHcWnqYbsIYMHD6ZVq1ZqdlMTvPzyy3Tt2pUBAwbIjqJcQKfTsWjRIrKzs9WgowlUQ/aQ+rObSkpKZMfxOWfOnGHBggXk5OTIjqJcxqBBg2jdujWvvvqq7Cg+SzVkD+rRowcDBw7kT3/6k+woPicnJ4c777yTzp07y46iXMHChQuZO3cu586dkx3FJ6mJIR62f/9+rr76avLy8mjZsqXsOD7hwIED9OjRg61bt5KYmCg7jtKA+++/n1atWjF37lzZUbyGmhjipVJTU3nwwQeZPXu27Cg+Y/r06YwdO1Y1Yx8xd+5cXn75ZQ4fPiw7is9RI2QJzpw5Q4cOHfjuu+/o1KmT7DhebdOmTQwZMoSdO3cSEREhO47SSFlZWZw+fZrXXntNdhSvoEbIXqxZs2ZkZWWp2U2NkJWVxfTp01Uz9jGTJ09myZIl5Ofny47iU1RDlmTs2LFs2rSJ77//XnYUr/XVV19RWFjIH//4R9lRFAdFR0czefJksrOzZUfxKaohSxISEsKzzz6rZjddRu0U6ZycHIxGo+w4ihMef/xx8vLy+Pbbb2VH8RmqIUv029/+lurqaj788EPZUbzO22+/jclkYvjw4bKjKE4KDg5m/vz5TJo0CZvNJjuOT1ANWaLa2U2TJ0+murpadhyvUVlZybRp09QUaT8watQoNE3j/ffflx3FJ6iGLNktt9xC27Zt1eymehYvXkzPnj3p16+f7ChKE9UOOqZMmUJVVZXsOF5PHfbmBbZs2cLgwYPZuXMnkZGRsuNIVXuVlVWrVtGhQwfZcRQXGTp0KIMHD2b8+PGyo0ihDnvzId26dWPIkCHk5ubKjiLd/PnzGTlypGrGfmbhwoXMnz+fs2fPyo7i1dQI2UsUFRVx1VVXsWXLFpKSkmTHkaKwsJDevXuTn59PfHy87DiKiwXyRWnVCNnHpKSk8MgjjwT0JdWnTZvGuHHjVDP2U7Nnz+bVV1+lqKhIdhSvpRqyF8nOzubTTz8lLy9PdhSPW79+PStWrODpp5+WHUVxk+TkZB599FFmzJghO4rXUg3Zi0RFRTFlypSAm92kaRqTJk1i1qxZhIeHy46juFFmZiZLly5ly5YtsqN4JdWQvcxjjz3G9u3bWbFihewoHvPFF19w5MgRHnzwQdlRFDeLiopi2rRpZGVlyY7ilVRD9jJBQUHMnz+fzMzMgJjdZLVayczMZOHChRgMBtlxFA8YM2YMu3btYtmyZbKjeB3VkL3QyJEjEULw3nvvyY7idm+99RbNmjXj9ttvlx1F8ZCgoCAWLFgQMIMOR6iG7IV0Oh25ubl+P7upvLycGTNmqCnSAWjEiBEYjUbeeecd2VG8imrIXurGG28kIyODV155RXYUt3nhhRfo27cv11xzjewoiocJIVi0aBFTp06lsrJSdhyvoSaGeLH8/Hxuuukmdu7cSXR0tOw4LnXixAk6derEmjVraNu2rew4iiTDhg3jhhtuYOLEibKjuJWaGOIHMjIyGDZsGDk5ObKjuNy8efP43e9+p5pxgMvJySEnJ4fTp0/LjuIV1AjZyx0+fJiuXbuyceNGWrVqJTuOS+zevZtrr72W7du306JFC9lxFMnGjBlDZGQkixYtkh3FbdQI2U8kJiby+OOP+9XspqlTp/L000+rZqwAMGvWLN544w327dsnO4p0qiH7gEmTJvHFF1+wefNm2VGabO3ataxevZqnnnpKdhTFS7Rs2ZInnniC6dOny44inWrIPiAyMpLp06f7/OwmTdPIzMxkzpw5mEwm2XEUL/LMM8+wbNkyNm7cKDuKVKoh+4hHHnmEvXv38vXXX8uO4rT//e9/nDp1ivvvv192FMXLREREMGPGjIC/6K9qyD7CaDT69Owmi8VCVlYWubm56PV62XEUL/Twww9TVFTEV199JTuKNKoh+5C77rqLkJAQ/v3vf8uO4rA333yThIQEhgwZIjuK4qWMRiM5OTlkZmZitVplx5FCNWQf4quzm8rKypg1axa5ublqirRyRXfeeSfh4eH861//kh1FCtWQfUz//v25+uqreemll2RHabQ///nPDBgwgF69GjwMUwlwtYOO6dOnU1FRITuOx6mJIT6ooKCA66+/nh07dhATEyM7zhUdO3aMjIwM1q1bR3p6uuw4io+4++676dOnj88fWVRLTQzxYx07dmTEiBHMnz9fdpQGzZkzh/vuu081Y8UhCxYsYNGiRZw8eVJ2FI9SI2QfdfToUTIyMli/fj1paWmy41zSjh076N+/PwUFBcTGxsqOo/iYsWPHEhQUxPPPPy87SpOpEbKfS0hIYNy4cUybNk12lMuaMmUKkyZNUs1YccqMGTN466232Lt3r+woHqMasg+bOHEiy5cvZ8OGDbKjXOSHH35g3bp1PPnkk7KjKD4qPj6ep556iqlTp8qO4jGqIfuw8PBwZs6c6XWzm2qvIj1v3jxCQ0Nlx1F82NNPP83KlStZt26d7CgeoRqyj3vooYc4dOgQX375pewodT755BPKysoYPXq07CiKjwsLC2PWrFleN+hwF9WQfZzBYGDhwoVeM7vJbDaTnZ2tpkgrLvOHP/yB48ePs3TpUtlR3E41ZD9wxx13EBkZyT//+U/ZUfjb3/5GamoqgwcPlh1F8RP1Bx0Wi0V2HLdSDdkPeMvsppKSEubMmcPChQulZVD802233Ubz5s35xz/+ITuKW6mG7Cdqr978wgsvSMvw3HPPMWjQIHr06CEtg+KfagcdM2fOpKysTHYct1ETQ/zIzp07ue666ygoKKB58+YeXfeRI0fo0qULGzZsIDU11aPrVgLHqFGj6Natm88dCtfYiSGqIfuZJ554AoPBwF/+8hePrnfMmDFERUWRm5vr0fUqgWXPnj1cc801bNu2jbi4ONlxGk015AB1/PhxOnfuzNq1a2nTpo1H1rl9+3YGDBjAjh07aNasmUfWqQSu8ePHY7PZWLx4sewojaamTgeouLg4j89uys7OJjs7WzVjxSOmTZvGO++8w65du2RHcTnVkP3QhAkT+P777/npp5/cvq6VK1eyZcsWxo4d6/Z1KQpAixYtmDhxIlOmTJEdxeVUQ/ZDYWFhzJ49m8zMTLfObqqdIv3ss88SHBzstvUoyoXGjx/PmjVrWLNmjewoLqUasp964IEHOHHiBJ999tlF95WWlvL8889z+PDhJq3jgw8+wGKx8Jvf/KZJy1EUR5lMJubMmXPZKdUrV670yWtPomlao3969uypKb7j008/1Tp37qyZzWZN0zTNbDZrr7zyihYdHa0ZDAbto48+cnrZVVVVWps2bbRvvvnGVXEVxSEWi0Xr0qWL9sknn9Tdtm3bNu2WW27RDAaD1qFDB4npzgf8rDWix6oRsh8bOnQoLVq04M0332TJkiW0bt2aZ555hrNnzxISEkJ5ebnTy/7rX/9K+/btufnmm12YWFEaT6/Xk5ubS1ZWFkVFRdx3331cffXVrFixAovF4pPX5DPIDqC4jxCC++67jzFjxhAUFHReA7bZbE5vsMXFxcybN49ly5a5KqqiOKVfv35UVlbWHeJpNpvr7quqqpIVy2mqIfup3bt3M378+LrRwoUnZbFarZRUlLL73CH2lRxnV/FBzpnLMdusGHV6Io0m2kUlkxYRR0pYC4L1QXXPzc3NZejQoXTt2tXTL8unVVmrKSo74XC9lYuZzWZeffVVpk6dSmVl5XmNuFa1zeLU9i2TmhjiZ06cOMG0adN46623MJvNF5+SUyeI6ppCy1u70qpPR5o3i8Wi2ex3CQQCDQ2bfbswCB0WzUbHqBRuT72WFhUhXH1VDzZv3kxycrKnX57PsdisbDq1h08PrKGguKiuntC4el8V0waDTp3GtJamaXz88ceMGzeOs2fPXnxeC/v2nTC4C5EdEmjXuq1X1FvN1AtAR48epU2bNpjN5otGDMKgI+6WzrS8tRv60CA0IC46hqTEpAaXq2ka5Zaaj38nDh0l5VQIr46bj1GnPmBdjtlm4fOidSzZ/0Nd7UyGYIQQDT63fr1NxhCGterLkJTeqt7AY489xmuvvXbRQONS27etopqePXs2uExP1FvN1AtA8fHxzJo1C4Ph/A0pNCWGzjPuJPnu3mDQYymvxlpejc1qa9RyhRCEGUPQWTTOlZVQmhFB5k9/Y1/JMXe8DJ9XWHKUzJ/+xtt7lmO2WQkzhhBmDGlUM4Zf6h1mDMFstfD2nuWq3nbjx4+nXbt2mEymutsut31rGtCI8aY31VuNkP1QXl4ew4cP59DhQ0Tf1J7EO3qgaRrW8vNHzc2bx5KWltbo5e7atYuoqChatGhRN6IYkX49w9P6oRPqvd2m2fh432reL/weQeNHxA2pP4JT9a7Zfzx9+nReXPziFbdvIaBHjx7odI7Vyh31buwIWX0G8kNdunRhS95W7n99CvuCizGXVqHZLn7jtdkaN0IGOHeuhMrKKtq2bVE3orDYrLy79zuOV5zlkU5D0Qdwk7BqNl7d/hkrjmzGZAh26X5IVe/zGY1Gnl0wH8PAdJYVrae6tAKb5eJtWQiBzWZzuCHLrHdg/ov6OZtm4+97voYOMaS3bIVBr0enu3ikZm3kLgs0OHjwIMlJSeeN+Aw6PeHGUFYc2cxrBZ9h0xrf4P2JrV4zDjeGuu1LOFXvGrX13ilO0DGtHc2iml2m6QqHBh0XklFv1ZD90Mf7Vtc1h4iICLp06UqzZhdvtI3dWE+fOY0Q0Czm4rO56YQg3BjK8sOb+Xjfapfk9zX1661zwS6KK1H1Pr/eBoOe9PQ02rRpjUGvP2/AIATYLvHJ0BGerrdqyH6msOQo7xd+j8kQXNcc9Hod6enptG6djl6vp3abtdkavkq1ZtM4dOjQFQ9x0wmByRDM+4XfB9wXT5eqt7upel9c76ioKLp07UJkZETdwEPTtCaNkGt5st6qIfsRs83CC/kfI+CSH5ujo6Pp2qULERERCLjkwfQXOn7iOKGhNSPtKzHo9AjghfyPMdv8+8rAtRqqtzupel9cb4PBQLt27Uht1QqdTmCzaY0adDSGp+qtGrIf+bxoHUfKT2MyXP5UmAajgfbt29MysSVGo/GKy7NarBw9epSkpMZNADEZgjlcforPi9Y5lNtXNabe7qTqfWmxzWPp0qULwcFBuPLss56ot2rIfsJis7LkwI8E64yNOtQqMTGRTp06XfExR44eITo6mtDQkEZlEEIQrDOy5MCPWFw0MvFWjtbbHVS9Ly8oKIiuXbsSERHusgyeqLdqyH5i0+k9lJsrCdK75kjG6upqTp48SWJiokPPC9IbKLdUsvn0Xpfk8AZWq5W5c+eye/fuuttcXW9n+WO9Ae69997zrpkXKPVWDdlP/Hf/jy5d3qFDh4iLi2twt8Ylaa7PI1NJSQkzZ86ka9eujBo1it27d3vX6/OzegP85z//Ydy4cYSHh7N48WLven1urLeaGOIHqqzV7Cg+SLihcbsWLvTuPfOoOF2C0NvfnzVo1judoXMedmp5JkMwBcVFVFmrveYsWk1lNBqprKzko48+4tMvPqPP/3uQ5OYJ4MT7FcCebzaS/95KzhQexRASRETLGNre2otOd17n8C4Qf6x3rbKyMp56ZgI9X36A+OhYwuIc38bfvWce/TPvIalX+7rbdn7+Ezv/t5bb/u9Jh5fnznqrhuwHispOYBC6Ju3LHJTzUN0Gu3PnLppFR6PXO/cBSgiBQegoKjtJ20jHdnl4O4vFQnBMNKXF59h2/DTR0dEkJSU5dE3Brf/5li3vrOC6CXeR1KcDxtBgTu06RN5/vqXD0GvQBzn2v6U/1xsgNLEZ1moLRQcOcvjgYZKSk4iLi5OWx531Vrss/MC+kuN1pxhsqnPnzlFdXUXzFs2btByrZmN/qX8eIxuaEgM6HTabxpkzZ8jPz2fv3r2NOiF6dWkFG974kusm3E36jd0JMtWcdKh5+2RunHGvw824lr/Xu/bTm9Vm48CBIjZu2Mjx48elZXJXvVVD9gO7ig+6ZDmafYp0UlJyk48c0ICdZ12Ty9uEt/5ldKZpONSYj+fvx2q2kNo/w6WZAqXetWQ3ZnfVW+2y8APnzOVNniW2bOqbIASaZkMIQbvf9Cfppi5OL89qgM+3f8XmFy++6rWvqaqqOu+KK4aIYLQLZoBpWs3MsDOnz3DmzBlMpjA6dep40bIqi8sIiQpDZ9BTUVHB3r2F5C36lIojZ7FZrHR68ldEtktwOKMI1vPG8k0s/ijL8Rfoheqf7/hS9a57nL0xFxUVkZGRQUjIpfcxL5v6Jrp6u+CsZivN2zd8LvDL0QlBidn11+xTDdkPmG1WBE1ryAOf/QORHRIpLS256HzKTmUSNqKbh3LVVY43F29TXl6OTqerm4YrDIbLnmdXCAECwsJMl7w/ONJEZXEZNosVg8GAyRRK7xn3APDDhDcJMgYRGnrp516JzSCIiIul3VVXOfxcb1RQUEDtqYGvVO9aer3+ikcEDXz2D5f8Us9ZAoFZc/2MPdWQ/YBRp0drzJm4GxAREe6yA+nLLJV0iWnLo93vccnyZDp79iyTJ0+u+1uzWLjw/U+vq/lStWViS1q0aHHZUz7GZaShNxrYvyqf9Bu7kZ6eXnffWoOBxMSWtGydfsnnXkmZpZIeXdqSOc736w3w3nvv1Y2SL1XvWqGhobRunU5oaKgH04GGhlG4vn2qhuwHIo2mumuEeQubphFh9Oz/JJ5iKalC2BtuYxtxreCIUHo8MIgfnv8Q0GqOsggJ4vSeI1gqqp3OFCj1riWrEddyV71VQ/YD7aKS+fboliYt4+vs1385DhlI6tWegc/+wenlCaB9tH9eBLV073Fa9G+PQa9vdCOur9vvbsbUPIot/17Bd8++gzEkiIjEWHo/OpS4LmlOZfL3esde1w6Q34hruaveqiH7gbSIOAxNuJrBqPemuTBNDb3QkRoe7/LlyhYWFoah2ExsTCwt28U5fDWKWm0H96Tt4IYvwNlY/lpvgIqi0wQZjXTIaONUI77U9t1+SB/aD+njdCZ31Vsd9uYHUsJaYNFsOHJ9RHfSNA2LZiMlrIXsKC5TXV1NdHQ0c+fOZfvqTURGR0k7qdCF/LHetbp27crKJV+TktrqskdQeJo7661GyH4gWB9Ex6gUdhYfJMwof6Mtt1TRMSqFYL2T84q9TFRUFJ999hk33XRT3QhN1du9XnzxRW644Qa6dKk59LLj+i0BUW81QvYTt6deKzvCLwTckdpXdgqXEULw61//+ryPy6re7vX444/XNWMInHqrhuwnroppg8kYQrVV7tUjqq0WTIYQuse0lprD3VS9PStQ6q0asp8w6PQMa9WXKptZ2r5kTdOospkZ1qqvxy9p5Gmq3p4VKPVWDdmPDEnpTaIplnJLwye5cYdySxWJpliGpPSWsn5PU/X2rECot2rIfsSoMzAu40408PglfSw2KxowPmM4Rl1gfFes6u1ZgVBv1ZD9THpEAiPTr6fcUuWx2Xs2TaPcUsXI9OtJi/DPY2EvR9Xbs/y93qoh+6Hhaf24qWV3Ss0Vbt9obZpGqbmCmxO7Mzytn1vX5a1UvT3Ln+sdGJ91AoxO6Hik01AAVhzZjMkQ7JYvISw2K+WWKm5O7M4fOw5F14TZgr5M1duz/LneqiH7Kb3QMabTUOJCo3m/8HuE1YzJEOyS2WWa/SOcBoxqPYDhaf0CtjnUUvX2LH+tt3DkEJJevXppP//8sxvjKO5QWHKUF/M/4XD5KYJ1xiZdSr3aaqHKZibRFMv4jOEBtw+zMVS9PcsX6i2EWK9pWq8GH6cacmAw2yx8XrSOJQd+pNxSCRqNHlHUjhgQYDKEMKxVX4ak9A6Yb/edoertWd5eb9WQlUuy2KxsOr2HT/evoaC4CIPQYdVsaNRclkYg0NCwaRqCmo+GFs1Gx6gU7kjtS/eY1n4/CcGVVL09y1vrrRqy0qAqazVFZSfZX3qMnWcPUmKuwKxZMAoDEcZQ2kcnkxoeT0pYc4L1QbLj+jxVb8/ypnqrhqwoiuIlGtuQA/urWkVRFC+iGrKiKIqXUA1ZURTFSzi0D1kIcQLY7744iqIofilV07QGr/nkUENWFEVR3EftslAURfESqiEriqJ4CdWQFUVRvIRqyIqiKF5CNWRFURQvoRqyoiiKl1ANWVEUxUuohqwoiuIlVENWFEXxEv8fDWUeN8tZ23EAAAAASUVORK5CYII=\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"
},
{
"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": [
"minus_weight = -sum(abs(edge_data['weight']) for tail, head in T.edges() for edge_data in T[tail][head].values())\n",
"A = [] # パス格納\n",
"B = [(0, [(None, '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 + [(last_sidetracks, v)]\n",
" new_potentials = potentials + P.edges[last_sidetracks, v]['weight']\n",
" heappush(B, (new_potentials, new_sidetracks))\n",
" k = k + 1\n",
" if k == 1:\n",
" shortest_path_length = sum(MultiGraph[v][u][k]['weight'] for v, u, k in A[-1])\n",
" length = shortest_path_length + potentials\n",
" print(A[-1], length)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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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