mirror of
https://github.com/TheAlgorithms/Python.git
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947 lines
388 KiB
Plaintext
947 lines
388 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "c9531bac",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<style>.container{width:100%}</style>\n"
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],
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"text/plain": [
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"<IPython.core.display.HTML object>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"%%HTML\n",
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"<style>.container{width:100%}</style>"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "25138dfd",
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"metadata": {},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import networkx as nx"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "1a17a18b",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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cr0aG1E6BZHIMA0REVi4pKQlbPpmFfrrT6NbMBwCqfLxx6fauwd44OLsHRwSsHFcTEBFZMVEU8eqrr8LLywufz58DV1dXJGTkY/0pBeKuZ0KhLCz3UCMB9xsKRTb3xdgugVw1YCMYBoiIrNgPP/yAPXv2YMeOHXB1vX9hD/VzxYeDw/AhwqBSa5CkVKFYo4O9TIIgb2d2FsT9EJWeno6bN2+ioKAAxcXFOHfuHNq0aQN7e3s4OzsjKCgI/v7+kEgsf5BdEA14NFVeXh7c3d2Rm5sLNze3uqiLiIhqKDc3Fy1btkRERAS2b99u6nLMVnFxMU6cOIGff/4ZV65cwV9//YWbN2+iqKioyvfa29ujadOmaNasGVq0aIE+ffrg6aefRr16lXdwrEuGXr8ZBoiIrNSMGTMQExODy5cvo3HjxqYux6yoVCps2bIFP/30Ew4cOID8/Hw0aNAA7du3R3BwMIKDg9GsWTM0bdoU7u7usLOzgyDcn0dRUlKCvLw8JCUl4caNG/jrr79w48YNnD9/HgqFAvXq1UOvXr0wYMAAjBo1Ch4eHib7nDYZBjjcRUR03++//44uXbrgiy++wKxZs0xdjtnIz8/HsmXL8Pnnn0OpVKJLly4YMGAAnn32WbRt27bsgv8oRFHElStXsHv3buzZswfHjx+Hk5MTXnvtNcyaNQve3t5G/CSGsZkwUDYR5lomFDkVTITxckJkC1+MiQhEqB8nwhCR9dNoNOjUqRMkEglOnToFmYy/FGm1WnzxxRf473//C5VKhYkTJ+Ltt99GUFBQrZ0zPT0dixYtwvLlyyEIAmbNmoW5c+fC3t6+1s75T1YfBlJyCjFn+wUcS8yGVCJU+mQuAGXbu4f4YOGQcHbPIiKr9sUXX+Ctt97CqVOn0LFjR1OXY3Lp6ekYM2YM4uLi8Oqrr+Ltt99Go0aN6uz8WVlZ+OKLL/D555+jbdu22Lx5M5o2bVon57bqMLDptALzdl6CRifqDQH/JJUIkEkEzB8chpFcM0tEVig5ORmtWrXC5MmTsXjxYlOXY3JHjx7F8OHDAQAbNmxAz549TVbLmTNnMHz4cOTk5CA2NhaDBg2q9XMaev22uPUQS+MS8M62C1BrdNUKAsD9x26qNTq8s+0ClsYl1FKFRESmIYoiZsyYAU9PT3z00UemLsfkzp49iwEDBuCxxx7DuXPnTBoEAKBjx444e/Ysnn76aQwdOhSHDh0yaT0PsqgbSZtOK/B/P51H3qltUKdeQ3HadejuFcB7wCy4PN77of1LslOQ88sqqG9dhiCVoV6zTvDsNRlSJ3cs2n8d9V0c2FWLiKzGjh07sGvXLvzwww9mMYprSgqFAs8++yxatWqF3bt3w9nZ2dQlAQA8PDywdetWDBw4EEOHDsWJEycQFmbch0k9CosZGUjJKcS8nZegK8xD7omNKFGmwM638nsumrxspK9/G5o7afDoMR5unYei6K/TyNj0PkRtCQBg7s5LSMkprKuPQERUa/Ly8jBjxgwMGjQIQ4YMMXU5JqXVajFkyBDUq1cPu3btMpsgUMrOzg5bt25FkyZNMHDgQIP6GdQ2iwkDc7ZfgEYnQurihUbTY9HoX3J4Rk6sdP/cX7dALFHDb9R/4NZxMNy7DofP8++gJPMmCi78AgDQ6ETM2X6hrj4CEVGt+eCDD3D37l0sXbq0RsvjrMHGjRtx9uxZrF+/Hn5+fqYup0Jubm74/vvvcevWLSxbtszU5VhGGEjIyMexxGxodSIEmR2kLp5Vvqfw2knUC+kEmbtv2Wv1gtpC5hWAwivHANyfQ3AsMRuJmfm1VjsRUW07c+YMvvrqK8yfPx+BgbZ967O4uBgffPABnn/+eTzxxBOmLkev0NBQTJ48GQsXLsTdu3dNWotFhIH1pxRVPmHrQZr8bOgK78K+wcOP23Ro2BzFGTfK/iyVCFj3m8IodRIR1TWNRoOpU6fi8ccfx8yZM01djsnt2rULSUlJ+Pjjj01dikHmzp2LgoICrF+/3qR1WEQYiLuWWa2VA9qCOwAAqYvXQ9ukLp7Q3cuHqLk/b0CrExF3PdM4hRIR1bGlS5fizz//xMqVK9lcCMChQ4cQEhJiFpPyDNGwYUNEREQgLi7OpHWYfRgoUGugqOYkP1GjBgAIUruHtglS+3L7AIBCWQiVWlODKomI6l5KSgref/99/Otf/0Lnzp1NXY5ZiIuLQ2RkpKnLqJbIyEgcPnwYOp3OZDWYfRhIVqpQvW4CgCBzAICyVQMPErXF5fYBABFAklL1qCUSEZnEa6+9Bjc3N/znP/8xdSlm4+rVq2jXrp2py6iWdu3aQalUIisry2Q1mP2YUrGm+kmpdIKhtiDnoW3agjuQOLpCkJUfNXiU8xARmcqOHTuwY8cObN26Fe7u7qYux6xY2u0Sc6jX7EcG7GXVL1Hm6gOJkzuK0xMf2qZOuw57v4f7EzzKeYiITCE/Px8zZszAgAEDMGzYMFOXQzVkwFMBap3ZXwGDvJ3xKCtmnVp0RVHiaWjy/jfsUpR0Dpqc23B67Mly+wp/n4eIyBLMnTsXSqUSy5Yts/meAv/k6+uLmzdvmrqMarl58ybs7e1NOsJj+rGJKjg7yBDo5YTkByYR5v2xC7p7qrLbAEWJv0OTnw0AcOswCBJHZ7g/MRyFV08gY8McuHYcDLGkCHmntsGufhBcwvuUO0dDVxmcHcz+r4KICGfPnsWSJUvwySef1Orjdy1Vjx49amVmvkqtQZJShWKNDvYyCYK8nY123Th8+DCeeOIJODo6GuV4j8Iinlr44c5LiD2VXLa88NbXE6HNq3g5YMC0byHzuN9xqjgrGXcOrb7/bAKJDPVCOsGz5yRInf/XtEjUaZF/djdaFV3ClClT8OKLL8LJiY84JiLzo9VqERERgeLiYvzxxx+ws3t4xZStW7FiBaZPn46srCx4elbdoE6fhIx8rD+lQNy1TChyCstNZhcABHo5IbKFL8ZEBCLUz/WRzqFWq9GwYUPMnDkT8+bNq1G9FbGqRxgnZOSjz5dHa+34b7QsxM7YlTh48CDc3NwwZswYTJkyxeJmpBKRdVuyZAlmzZqFEydOmH13PVNJT09HcHAwZs+e/cirLFJyCjFn+wUcS8yGVCLo7XNTur17iA8WDglHY6/q/TK5ZMkSzJ49GxcvXkTLli0fqV59rOoRxqF+ruge4lOtLoSGkEoEdA/xwYzxL+LAgQO4ceMGZsyYgR9//BHt27dHhw4dsGLFCuTm5hr1vERE1XXr1i28//77mDZtGoOAHg0aNMCsWbPw5ZdfIi0trdrv33Ragd7RR3DyhhIAqmx4V7r95A0lekcfwabThne0zc/Px8cff4wJEybUShCoDosYGQDuJ7Xe0UegNuISQAeZBAdn93goyWk0GuzduxerVq3C7t274ejoiOHDh2PKlCl44oknOGGHiOrcsGHDcPLkSVy5cgUeHh6mLses3b17F82aNUP37t3xww8/QCqVGvS+pXEJWLT/eo3P/2bf5pgeGap3H1EU8fLLLyM2NhYJCQlo3Lhxjc9bEasaGQCAxl5OmD/YuO0lFwwOq3BIRyaTYdCgQdi5cycUCgXmzJmDI0eOoFu3bmjdujWio6ORnZ1t1FqIiCqza9cubNu2DV9++SWDgAE8PDzw3XffYdeuXXjjjTcMes+m0wqjBAEAWLT/OjZXMULwySefYPXq1VixYkWtBYHqsJiRgVLGSm5v9W2BVyMffpBRZXQ6HQ4dOoRVq1Zh+/btEAQBQ4YMweTJk9GzZ09IJBaTq4jIghQUFCAsLAytWrXCnj17ODJZDStWrMArr7yCBQsW4P3336/0707fyLM6PRF3j3wH9e0rAAAH/8fgGRkFe79gveeubOQZAL755htMmzYN8+bNw4cfflj9D1YNVjcyUGp6ZCg+GRoOB5mk2nMIpBIBDjIJPh0aXq0gAAASiQS9e/fG5s2bkZqaiv/+97+Ij49Hnz59EBoaioULFyI1NbVaxyQi26ZSa3ApNRd/Ku7gUmpuhc9I+fDDD5GZmcmeAo9g2rRpmD9/PubOnYvnn38ed+7cqXC/OdsvQFPB3AB1eiIy1v0bmrvp8Og2Cu7dRqLkTirSN7yDEuUtvefW6ETM2X6h3GsqlQoTJkzAtGnT8K9//atWVg88KosbGShVl7M9KyOKIk6ePInVq1dj8+bNKC4uxrPPPovJkyejf//+ZtFikojMS3WWqxWkJqJTp074+OOP8c4775iqZIu3c+dOTJgwAW5ubli5ciX69OlTFqz0rVbL3Poh1Levwn/qSkjr3b/2aQpykLpyKuoFtUP9oXOqPPfB2U8hxNcVv/76KyZPnoykpCQsX74c48ePN94H1MOqlhbqU/aNdT0TCmUF31jeTohs7ouxXQIR4vto60ANkZubiw0bNmD16tU4e/Ys/P39MXHiREycOBFNmz7c/piIbMuj/AJjp/wL9ue+x7kTv7CnQA0lJydj7NixOH78OLp06YIPPvgA/fv3x/xdl8v1sXmQ4osXUS+4A+o/Xz6IZW6dj6KkP9F45kZI7OtVek6pREDPRjLc/OH/8Msvv6BNmzbYsGEDWrVqZfTPVxmbCQMPqs0OUdVx9uxZrF69GuvXr0d+fj569+6NyZMn47nnnoODg0PVByAiq7LptALzdl6CRidWuVTtQaJWA3s7GT56PhwjOwXWYoW2QRRF7Nu3Dx999BFOnjyJtm3bQtv/A+SJFf9cTv7seTi3fAo+A18v93rWjk9QePU4GoxbBIeAx/SesyQnFfVPLcP777+PoUOH1vn8MqudM6CPs4MMYf7uaBfoiTB/d5O1GG7fvj2+/vprpKamYs2aNSgsLMSIESPQqFEjvPnmm7h69apJ6iKiurc0LgHvbLsAtUZXrSAAAIJUhhId8M62C1gal1BLFdoOQRDQr18/HD9+HL/88gsaB4ciV2df6f52Xo2gTr0GUacte03UlkCdeg0AoMlXVnlOO6+GOP7babzwwgtmPdHcfCuzAs7OzpgwYQKOHz+OS5cuYfz48YiJiUHLli3RvXt3rF27FoWFhVUfiIgsUl0vVyPDCIKAnj174r9frdI7KdO1/QBocm5DuWcJirMVKM5KQvZPX0BbcH8ioqgpNuRs5Z6tY66s6jaBJVCr1fjxxx+xatUqHDx4EO7u7hgzZgwmT57M9sdEVqSqRmmipgR3j62D6lIcdPcKYFc/CB5PjUO9ppX/HNC3XM2WiaKIvLw85OTk4M6dOxX+t6LX8u294f7ix3qPfefId8g7tQ3Q3V/pYd8gFI7B7ZF3cjPqD30PTs2r7ga5/ZWuaBdYs+ckPCqbnDNgaW7cuIE1a9ZALpcjNTUVHTp0wOTJkzF69Gj+PRNZuHHfnsLJG8pKbw1k/fh/KLx2Am4dn4PMyx+qCwehTkuA36iFcGxccYM1qURA12BvxE6KqM3STebevXt6L+iVXeDv3LkDne7h0CWRSODh4QEvLy94enrCy8ur3P/XuDbAxjtBVdalvVeAkqxkSBycYe8bhDtH1iLv161oOPlr2PtUPZdj94wnEeZvmscTMwxYELY/JrIuVT1cTZ16DenfvQGPyIlwjxgK4P6Qc+rqVyF1dkeDcYv0Hr90uZo50mq1yM3NrfS3cX0X9nv37lV4TGdn53IX8X/+t7Jtbm5ueu/Tq9QatP5wH6o3kwNIWzsb2oI7CPjXGgiC/rvtAoCLHz5jsjlshl6/uRDeDJS2Px40aBBu376NmJgYfPvtt4iJiUGrVq0wefJkjBs3Dj4+PqYulYgMsP6UQu/ywcJrJwBBAte2/cpeE2T2cGnTB3ePfAdNXhZkbvUrfK9UImDdbwp8aOT27A8SRRGFhYUGD7c/+N+7d+9WeEyZTPbQxbpJkyZo27at3gu8p6cn7O0rn+RXE84OMgR6OVXrnr7qylEUpyXAM3JilUEAuL+83VRBoDrMv0IbExAQgPfeew/vvvtuWfvjt99+G++88w6GDBmCKVOmIDIysk5mpZrLUk0iSxN3LVPvyoHijBuw8wqAxKH8vX/7hs3LtlcWBrQ6EXHXM/Ehqg4DJSUlZcPo1b2fXlJSUuEx3dzcHvptPDg4uMrf3J2dnc1ylDOyhW+lfQbuKS4i98RGODZtB0k9NxSnXkVB/EE4BneAa6fnqjy2VCIgsrlvbZRtdPzJbqZK2x/37t0b2dnZ+O6777Bq1Sr07t0bwcHBmDRpEqKiotCwYUOjnrc63dFC/cxzmJLIlArUGiiq+E1TW5ADqcvDE8qkLl5l2/VJVqqwdMUqFNxV6r2wFxQUVPh+BweHhy7aoaGhei/onp6e8PDwsLrOqmMiAhHza1KF26Su3oBEgrxT26ArLoLMww8eT42DW+fnIUiqfhKiVidibBfL6A/BOQMWpLT98apVq7Bly5ay9sdTpkxBv379avRNag7tnYmswaXUXDz71XG9+9xeMRkyrwD4DZ9f7vWSu+lIXTEZnr2mwK2K3zzT5K/BpeSu3ot3ZffT69WrvGueLapqsuejMJfJnpwzYIUEQUC3bt3QrVs3LF68GBs2bMCqVaswaNAgBAQEICoqCpMmTUJQUFC1jvtgdzQAVX5DlG4/eUOJ3tFHMH9wGLujEf2tuJKlhA8SZPaA9uFh+NJ164Ks6nvkv546jfZNvKpfID1k4ZBw9I4+YtQwIJMIWDgk3GjHq21sOmSh3N3d8corr+Ds2bP4448/MGjQICxZsgTBwcHo27cvtm7diuLiqhti1KQ7mlYnQq3RsTsa0QPsZVX/WJW6eJU1rnlQ6e2B0tsF+jjYVT1MTYZp7OWE+UaekLlgcJhFjZoyDFiB9u3bY/ny5eXaHw8fPhwBAQF62x9X1h1NnXYdOfuXI3X1v6D4fBhufR2FrB2foCTndqU1sDsa0X1B3s6oapqcvW8wSnJuQ6cuP7egOPX+96O9X7De9wt/n4eMZ2SnQLzZt7lRjvVW3xYYYWGjpQwDVqSq9sffffddWfvjlJxCzNt5qcLj5P32PQqvnYRjkzbw7P0yXNo8g3spF5Emn4nirKRKzz935yWkWEDbTaLaVLpcTR+nx7oBog75534ue03UlKDgwgHY+7eodCVBKUtZrmZppkeG4pOh4XCQSSCVVG/lg1QiwEEmwadDw/FqZEgtVVh7OIHQyqnVauzYsQOrV68u1/74dugQXMgqrng5za0rcGgYAkH6v0emluTcRuq30+H8WDf4DHqzwnOZy4QZIlPSarV4aclPOJ4hAfSsQ8/a8QkKr/8Kt07PQebpD9WFX6BOuw6/kf+BY2DrSt8nlQgYF9GkVvsM2DprmlDNDoT0kNL2x2t+2Av75xdU+/1p8pkAgIZRi/XuZ87d0YhqS15eHr799lssWbIEt/O18J+yXO/+oqYYd4/efzaB9l4B7H2D4NF9LOoFd6jyXPweqxtlS62vZ0KhrGCptbcTIpv7YmyXQLP992AYoErN/fEC1v2WDF2Vdzb/RxRF3P56Aux8AuE34qNK9+NvLWRrbt68iSVLluDbb79FUVERRo4ciVmzZuHLcxqrXa5miyy1CZuh12/OGbBBR65nVysIAIDq0mFo85Vwfqy73v1Ku6MRWTNRFHHixAm88MILCAkJwXfffYcZM2YgOTkZsbGx6NChAxYOCYesmvedq2Jpy9WsibODDGH+7mgX6Ikwf3eLCALVwTBgYwzpjvZPJcoU5BxYDoeAx+Ac3qvK/RXKQqjUmkctkchslZSUYOPGjYiIiMCTTz6JixcvYtmyZUhJScF//vMf+Pv7l+3L5WpkSRgGbEyyUlWtJ3RpC+4gc+t8SByc4fP8uwa14BQBJClVj1wjkbm5c+cOPv30UwQHB2P06NFwd3fH7t27cfnyZUybNg1OThVfoG19uRpZDusa56AqGdIdrZTungoZW+ZBd08Fv7GfQubqXSvnITJX169fx+LFixETEwONRoOxY8di1qxZCA83fKh+emQofFwcyrp8VmcOgVQiQCYRsGBwGIMA1SqGARtjSHc04P5M58zvF0Bz5zb8Rn4Me5/q/SAy9DxE5kYURRw+fBjR0dH46aef4OPjg7feeguvvPIK/Pz8HumYIzsFolszn2ovV+sa7G2Wy9XI+jAM2JjS7mj6fjcRdVpk7fgU6tSr8B32PhwCWlbrHOyORpZIrVZj06ZNiI6Oxvnz59G6dWusXr0ao0ePhqOjY42P39jLCbGTIqxiuRpZH4YBG1PaHS1ZzyTCO4e+RVHiKdQL6QxtUQEKLsaV2+7SOlLvObwdRNgJvE1AliErKwsrVqzA119/jfT0dAwYMACLFi1Cr169IAjGXQ0AAKF+rvhwcBg+RJjFLlcj68OvOhsU2cIXsaeSKx2mLM64AQAoSvwdRYm/P7RdbxjQaXHjxG4EBERh7NixmDhxYrXurxLVlUuXLuHLL7/EunXrIAgCxo8fj1mzZuGxxx6rsxpKl6sRmRqbDtmghIx89PnyaK0df/lAfxzctg6xsbHIyspChw4dEBUVhVGjRsHLi49cJdMRRRH79+9HdHQ09u3bh4YNG2L69OmYOnUqvL0NnyBLZCnYdIgqFerniu4hPtV+EEdVpBIB3UN80L9bO3z++ee4ffs2duzYgYCAAMycORMNGzbEyJEjsW/fPmi1WqOem0ifoqIirFq1Cq1bt0a/fv2QlZWF2NhYJCUlYc6cOQwCZPMYBmxUXXRHs7Ozw3PPPYcff/wRt2/fxsKFC3HhwgX069cPQUFBeO+995CYmGjUGogelJ6ejg8++ACBgYGYOnUqmjdvjiNHjuDMmTMYO3Ys7O3tTV0ikVlgGLBRdd0dzc/PD2+88QYuXryIU6dOYeDAgVi2bBlCQ0Px1FNPQS6Xo6CgwKj1kO06d+4cXnrpJQQGBiI6OhqjRo3C9evXsX37djz11FO1MjGQyJIxDNgwU3RHEwQBnTt3xvLly5GWlob169fDwcEBkyZNQoMGDTBx4kQcO3YMBkxlISpHp9Nh165d6NmzJ9q1a4fDhw9j4cKFuHXrFpYsWYKQEMt7xjxRXeEEQsKm0wqTd0dTKBRYu3Yt5HI5bt68iZCQEERFRWH8+PFo1KhRjY5N1k2lUiEmJgaLFy9GQkICunTpgtmzZ2Po0KGQybhgimwbH2FM1ZKSU1jt7mjdQ3yM3h1Np9Ph6NGjkMvl2Lp1K9RqNfr06YOoqCg899xzRmn+Qtbh1q1b+Oqrr7By5Urk5+dj2LBhmD17Nrp06WLq0ojMBsMAPRJz6o6Wl5eHLVu2QC6X4+TJk/D09MTo0aMRFRWF9u3b876vjTp9+jSio6OxdetWODk5YcqUKZgxYwaaNGli6tKIzA7DANWYOXVHu3btGuRyOb777jukpaXh8ccfR1RUFMaMGYP69eubpCaqO1qtFjt27EB0dDROnDiB4OBgzJw5E1FRUXB1ZcteosowDJBV0mg02L9/P9asWYOdO3cCAAYOHIiJEyeiX79+vEdsZfLy8vDtt99iyZIlSEpKwlNPPYXZs2dj0KBBkEqrfpw2ka1jGCCrl52djQ0bNkAul+PcuXNo0KABxo0bh6ioKLRsWb2HK5F5SUpKwpIlS7B69WoUFRVh5MiRmDVrFjp06GDq0ogsCsMA2ZQ///wTcrkc69evR05ODrp06YKoqCiMGDEC7u7s/W4JRFHEyZMnER0dje3bt8PDwwNTp07Fq6++ioCAAFOXR2SR2I6YbEq7du2wZMkSpKamYuvWrfD09MQrr7yChg0bYty4cTh06BB0Oj5J0RyVlJRg48aNiIiIwJNPPomLFy9i2bJlSElJwcKFCxkEiOoARwbIat2+fRuxsbFYs2YNEhISEBQUhJdeegkTJkxAUFCQqcuzeXfu3MHKlSuxdOlS3Lp1C71798bs2bPRr18/SCT8PYXIGHibgOhvpcPPcrkcmzdvRkFBAXr27ImoqCgMHToUTk7G65NAVUtISMDixYshl8uh0WgwZswYzJo1C48//ripSyOyOrxNQPQ3QRDQrVs3rF69Gunp6YiJiYFWq8W4cePQsGFDTJ06Fb/99htbINciURQRFxeHwYMHo0WLFtiyZQveeustKBQKrFmzhkGAyMQ4MkA266+//kJMTAzWrl2LlJQUtGzZElFRURg3bhwaNGhg6vKsglqtxqZNm/Dll1/i3LlzaN26NWbPno3Ro0ezmyRRHeBtAiIDabVaHDp0CHK5HNu2bYNGo0H//v0RFRWFgQMH8jG3jyArKwsrVqzA119/jfT0dPTv3x+vv/46evXqxc6RRHWIYYDoEdy5cwebNm2CXC7H6dOn4ePjg7FjxyIqKopD2Qa4fPkyvvzyS8TGxkIQBIwfPx4zZ85k3wciE2EYIKqhixcvQi6XIzY2FllZWWjfvj2ioqIwevRoeHl5mbo8syGKIvbv34/o6Gjs27cPDRs2xPTp0zF16lR4e3ubujwim8YJhEQ11Lp1a3z++ee4ffs2duzYgUaNGmHWrFlo2LAhRowYgZ9//hlardbUZZpMUVERVq1ahdatW6Nfv37IzMxEbGwskpKSMGfOHAYBIgvCkQGiasjIyMC6desgl8tx6dIlNGrUCOPHj8eECRMQGhpq6vLqRHp6Or7++mssX74cSqUSgwcPxuzZs/HUU09xPgCRmeFtAqJaJIoizpw5gzVr1mDjxo3Izc3Fk08+iYkTJ+LFF1+Ei4tLndRRl0+WPH/+PKKjo7Fx40bY2dlh4sSJeO211xASElIr5yOimmMYIKojRUVF2L59O+RyOX755Rc4OTnhxRdfRFRUFLp3727035YTMvKx/pQCcdcyocgpxIPfwAKAQC8nRLbwxZiIQIT61ezxvjqdDrt370Z0dDTi4uLQuHFjvPbaa5g8eTI8PDxqdGwiqn0MA0QmoFAosHbtWsTExODGjRsICQnBhAkT8NJLL6FRo0Y1OnZKTiHmbL+AY4nZkEoEaHWVf+uWbu8e4oOFQ8LR2Kt6XRZVKhViYmKwePFiJCQkICIiArNnz8awYcP4mGgiC8IwQGRCOp0OR48ehVwux/fff4+ioiL07dsXUVFReO6556rdcGfTaQXm7bwEjU7UGwL+SSoRIJMImD84DCM7BVa5/61bt7B06VKsXLkSubm5GDZsGGbPno0nnniiWvUSkXlgGCAyE3l5ediyZQvkcjlOnjwJT09PjBo1ChMnTkT79u2rvI2wNC4Bi/Zfr3Edb/ZtjumRFU9yPH36NKKjo7F161Y4OTlhypQpmDFjBpo0aVLj8xKR6TAMEJmha9eulbVATktLQ3h4OKKiojB27FjUr1//of03nVbgnW0XHnr9XnI8MjbOqfAcDcYtgkPAYxVu+3RoOEb8PUKg1WqxY8cOREdH48SJEwgODsbMmTMRFRUFV9eazTUgIvPAMEBkxjQaDfbv3w+5XI4ff/wRoihi0KBBiIqKQv/+/SGTyZCSU4je0Ueg1ugeen9pGHDtMAj2DZuX21YvuD2kTu4VntdBJsH2KR2wf9sGLF68GElJSejevTtef/11DBo0CFKptFY+LxGZhqHXb84EIjIBmUyGAQMGYMCAAcjOzsaGDRsgl8sxePBg+Pn5Yfz48Uho1A+aKuYHODQOg/NjTxp83uISDXq/+y2ytszFiBEj8P3336NDhw41/ThEZOHYgZDIxHx8fPDaa6/hzz//xNmzZzF8+HDIf9iLP9OKDJosqFMXQtQZ1glRFCSwD3wch89exbp16xgEiAgARwaIzEq7du3Qrl07uEfGY/3vCuigf3Khcs9iiMVFgCCBQ+MweEZOhEND/Z0QpRIBB27eQ7dwY1ZORJaMIwNEZuhoolJ/EJDawalFV3j1moL6wz6Ax1PjUJKVjIz1b6M4/S+9x9bqRMRdzzRyxURkyTgyQGRmCtQaKHIK9e7j2KglHBs98Fjg0Ag4PdYNad/OwJ0ja+E3YoHe9yuUhVCpNbXWupiILAtHBojMTLJSBcPbCv2Pnac/6oVG4J4ivso5BCKAJKXqkeojIuvDMEBkZoorWEpoKJmbD6DVQCxR1+p5iMi6MAwQmRl72aN/W2rupkOQ2UOwr7rdcU3OQ0TWhT8NiMxMkLdzFWsIAG1h7kOvFWfcQGHC73AMagdB0P+tLfx9HiIigBMIicyOs4MMgV5OSNYziTBrx6eQ2NnDIaAlJE7uKMlOQcH5nyHYOcDz6QlVniPQ24mTB4moDH8aEJmhyBa+iD2VXGnTIafmXaC6dBh5v++ArrgQUid3ODXvCvcnR8HO01/vsaUSAZHNfWujbCKyUAwDRGZoTEQgYn5NqnS7W8fBcOs4+JGOrdWJGNul6scZE5Ht4JwBIjMU6ueK7iE+kEqqmj1QPVKJgO4hPgjx5VMJieh/GAaIzNTCIeGQGTkMyCQCFg5hH2IiKo9hgMhMNfZywvzBYUY95oLBYWjs5WTUYxKR5WMYIDJjIzsF4s2+zY1yrLf6tsCITpwrQEQP4wRCIjM3PTIUPi4OmLfzEjQ60aDHGpeSSgTIJAIWDA5jECCiSnFkgMgCjOwUiIOze6BrsDcAVDmxsHR712BvHJzdg0GAiPTiyACRhWjs5YTYSRFIyMjH+lMKbDxyHmo7N0D4XzAQcL+hUGRzX4ztEshVA0RkEEEUxSrHHPPy8uDu7o7c3Fy4ubnVRV1EVIWQkBA8+9xQvPzGeyjW6GAvkyDI25mdBYmojKHXb/7UILJABQUF+Ouvv9D+8TCE+bubuhwisnCcM0BkgS5evAgAePzxx01cCRFZA4YBIgsUHx8PqVSKli1bmroUIrICDANEFig+Ph4tWrSAo6OjqUshIivAMEBkgeLj43mLgIiMhmGAyMKIosgwQERGxTBAZGEUCgVyc3MZBojIaBgGiCxMfHw8AK4kICLjYRggsjDx8fHw8PBAo0aNTF0KEVkJhgEiC1M6X0AQ9D+fgIjIUAwDRBaGkweJyNgYBogsSFFREa5fv84wQERGxTBAZEEuX74MnU6HNm3amLoUIrIiDANEFiQ+Ph6CICAsLMzUpRCRFWEYILIg8fHxCAkJgbOzs6lLISIrwjBAZEE4eZCIagPDAJGFEEUR58+fZxggIqNjGCCyEOnp6VAqlQwDRGR0DANEFoJtiImotjAMEFmI8+fPw8XFBUFBQaYuhYisDMMAkYWIj49HeHg4JBJ+2xKRcfGnCpGF4EoCIqotDANEFqC4uBhXrlxhGCCiWsEwQGQBrl69Co1GwzBARLWCYYDIApSuJAgPDzdxJURkjRgGiCxAfHw8goKC4O7ubupSiMgKMQwQWQBOHiSi2sQwQGQBGAaIqDYxDBCZuaysLKSlpTEMEFGtYRggMnMXLlwAwDbERFR7GAaIzFx8fDwcHR0REhJi6lKIyEoxDBCZufj4eLRu3RpSqdTUpRCRlWIYIDJznDxIRLWNYYDIjGk0Gly8eJFhgIhqFcMAkRlLSEiAWq1mGCCiWsUwQGTG2IaYiOoCwwCRGYuPj4e/vz98fHxMXQoRWTGGASIzxsmDRFQXGAaIzFh8fDzatGlj6jKIyMoxDBCZqbt370KhUHBkgIhqHcMAkZliG2IiqisMA0RmKj4+HnZ2dmjRooWpSyEiK8cwQGSm4uPj0apVK9jZ2Zm6FCKycgwDRGaKKwmIqK4wDBCZIZ1OhwsXLjAMEFGdYBggMkM3b96ESqViGCCiOsEwQGSGzp8/D4ArCYiobjAMEJmh+Ph41K9fH35+fqYuhYhsAMMAkRkqnTwoCIKpSyEiG8AwQGSGuJKAiOoSwwCRmSkoKMBff/3FMEBEdYZhgMjMXLx4EQD4gCIiqjMMA0RmJj4+HlKpFC1btjR1KURkI2SmLoCIAJVagySlCsUaHY5dvInmrcLh6Oho6rKIyEYIoiiKVe2Ul5cHd3d35Obmws3NrS7qIrJ6CRn5WH9KgbhrmVDkFKLcN6Iooom3MyJb+GJMRCBC/VxNVSYRWTBDr98MA0R1LCWnEHO2X8CxxGxIJQK0usq/BUu3dw/xwcIh4Wjs5VSHlRKRpTP0+s05A0R1aNNpBXpHH8HJG0oA0BsEHtx+8oYSvaOPYNNpRa3XSES2h3MGiOrI0rgELNp//ZHeq9WJ0OpEvLPtArIL1JgeGWrk6ojIlnFkgKgObDqteOQg8E+L9l/HZo4QEJERMQwQ1bKUnELM23nJoH1zT25G8icDkbr6X3r3m7vzElJyCo1RHhERwwBRbZuz/QI0VcwNAABNXjZyf90Cwa7qJYUanYg52y8YozwiIoYBotqUkJGPY4nZVU4UBIA7cd/Cwb8F7BuEVLmvVifiWGI2EjPzjVEmEdk4hgGiWrT+lAJSSdVPHrynuIjCqyfg2etlg48tlQhY9xvnDhBRzTEMENWiuGuZVY4KiDotcg6sgEubvrD3DTL42FqdiLjrmTWskIiIYYCo1hSoNVAYMMmv4M+90ORlweOpcdU+h0JZCJVa8yjlERGVYRggqiXJShWqmimgLcrD3WPr4dF1BKRO7tU+hwggSal6pPqIiEoxDBDVkmKNrsp97h6NhaSeC1w7DqrV8xAR6cMOhES1xF6mP2uX5NxGwbl98Ow1Bdr8nLLXRW0JRJ0WmrsZEBycIK2n/yFFVZ2HiKgqDANEtSTI2xkCUOmtAm2+EhB1uHPwG9w5+M1D22+vmATXjoPh1bvyFQbC3+chIqoJhgGiWuLsIEOglxOSK5lEaFe/CeoPfe+h1+8ejYWuuAhevV+GzKOh3nPYF+di07q16N+/P/z9/Y1SNxHZHoYBoloU2cIXsaeSK1xeKHVyh1PzJx56Pe/0jwBQ4bYHCRBhl5WAl19eAJ1Oh7Zt22LAgAF49tlnERERAalUapwPQURWjzcbiWrRmIhAg7oPPgoRAnYseh2ZmZnYsGEDWrdujZUrV6Jbt27w9fXF6NGjsW7dOmRlZdXK+YnIegiiKFb5kyovLw/u7u7Izc2Fm5tbXdRFZDXGfXsKJ28ojRoKpBIBXYO9ETspotzrWq0WZ86cwZ49e7Bnzx6cOXMGgiCgc+fOGDBgAAYMGID27dtDIuHvAUS2wNDrN8MAUS1LySlE7+gjUBtxCaCDTIKDs3ugsZeT3v3S09Px888/Y8+ePdi3bx/y8vLg5+eH/v37Y8CAAejTpw88PDyMVhcRmReGASIzsum0Au9sM95TBj8dGo4RnQKr9Z6SkhL8+uuv2L17N/bs2YOLFy9CKpWiW7duZaMGrVu3hiBU/SwFIrIMDANEZubNNQfwfUIxIIpADS64b/VtgVcjq36yYVUUCgX27t2LPXv24ODBgygsLETjxo3LgkHPnj3h4uJS4/MQkekwDBCZkdTUVLRv3x6NnhqO/Bb9odGJ1ZpDIJUIkEkELBgcVu0RAUPcu3cPx44dw549e7B7924kJCTA3t4ePXr0KAsHzZs3N/p5iah2MQwQmYni4mJERkYiOTkZZ8+ehVrmgjnbL+BYYjakEkFvKCjd3j3EBwuHhFc5R8BYEhISykYNDh8+DLVajZCQkLJg0KNHDzg6OtZJLUT06BgGiMzEjBkz8M033+Do0aPo0qVL2esJGflYf0qBuOuZUCgLy3UqFAAEejshsrkvxnYJRIiv/pbEtUmlUiEuLq5s1EChUKBevXro1atXWTho0qSJyeqriEqtQZJShWKNDvYyCYK8neHswLYqZHsYBojMwLp16zBu3Dh8/fXXeOWVVyrdz1IuXqIo4vLly2VLF48fPw6NRoNWrVrh2WefxYABA9CtWzfY2dnVeW1l4epaJhQ5FYQrLydEtvDFmIhAhPqZLlwR1SWGASITO3/+PJ544gkMHz4ccrncKmfp5+bm4uDBg2XhID09HW5ubujTpw8GDBiA/v37o2FD/S2Vayolp9Dsb7sQmQrDAJEJ3blzBx07doSbmxtOnjyJevXqmbqkWqfT6XDu3LmyYPDbb79BFEW0b9++7HZC586djdomedNpBebtvPTIEzLnDw7DyFqYkElkLhgGiExEp9Nh8ODBOHnyJM6cOYPg4GBTl2QS2dnZ2L9/P/bs2YOff/4ZSqUSXl5e6NevHwYMGIB+/frB29v7kY+/NC4Bi/Zfr3Gdb/ZtjumRoTU+DpE5YhggMpEFCxbgww8/xO7du9G/f39Tl2MWtFotfv/997JRg7Nnz0IQBHTp0qVs1KBt27YGt0k2hyZORJaAYYDIBPbu3Ytnn30WH374IebOnWvqcsxWWlpaWZvk/fv3Iy8vDw0aNCjXJtnd3b3C91bV3rkk5zbuHlsH9a3L0BUVQOpWH86tesAtYggkdhUvhzS0vTORpWEYIKpjN27cQMeOHdG1a1fs3LmTDwMyUElJCU6cOFE2anDp0iXIZDI8+eSTZaMGrVq1KpuAqe/BT5q8LKR9Ox2CgzNc2/WHpJ4r1LevQnXhIOqFRMD3hQ8qrKGyBz8RWTqGAaI6VFRUhK5duyIvLw9nzpyBp6enqUuyWMnJyWUNj3755RcUFhYiMDAQAwYMQLunB2DhucpDVu7JLbh79Ds0nLQM9vX/1/sg+6cvoLp4CI1mbYLUsfIWywdnP2XSng5Exmbo9Zu/uhDVkCiKeOWVV3Dt2jVs27aNQaCGmjRpgmnTpmHnzp1QKpX4+eef8fzzz+PAgQN4Z/VPEHXaSt+rKy4EAEidPcq9LnXxAgQJBEnlvRukEgHrflMY5TMQWRqGAaIaWrFiBdauXYuVK1eiTZs2pi7Hqjg6OuKZZ57B4sWLkZiYiBaRwyBIKl+a6BgYDgBQ7lmC4owb0ORlQXXlKPL/3APXDoMgsa+8hbJWJyLueqbRPwORJTC/FmdEFuS3337DzJkzMX36dIwdO9bU5Vi1ArUG6fklevepF9wB7t3HIu/XrUhLPFX2ulvXEfB8alyV51AoC6FSa8yy+yNRbeJXPNEjysjIwAsvvIBOnTrh888/N3U5Vi9ZqYIhbYVk7n5waBwGpxZdIa3nhsK/TiPv5BZInT3g1mGQ3veKAJKUKoT5V7ySgchaMQwQPQKNRoORI0dCo9Fg69atsLe3N3VJVq+4kqWED1JdPoKcn5fC/+VvIHPzAQA4tegKiCLuHo6Bc6sekNbTPwnakPMQWRvOGSB6BO+++y6OHTuGzZs3w9/f39Tl2AR7WdU/rvLP7oG9X3BZECjlFNIZYokaxRk3jHIeImvDr3qiavr++++xaNEifPbZZ+jRo4epy7EZQd7OqOpRT9rCuxDFh3+zL1uBoGclAnD/6YZB3s6PViCRBWMYIKqGK1euICoqCiNGjMCsWbNMXY5NcXaQIbCKDoF2nv4ozvgLJTm3y72uunwEECSwqx+k9/2B3k6cPEg2iV/1RAbKy8vDkCFD0KRJE6xevdoqH0ls7iJb+CL2VHKlTyh0ixiGoht/IH3d23Dt8Oz9CYSJv+PejT/g0qYvZK6VPxhJKhEQ2dy3tkonMmsMA0QGEEURUVFRSE1NxZkzZ+DiUnkXO6o9YyICEfNrUqXbHQNbo8G4z3D3+AYUnN0DbVE+ZB5+8HhqPNy6DNN7bK1OxNgufFgR2SaGASIDfPbZZ9i2bRu2b9+O5s2bm7ocmxXq54ruIT6VPpsAABz8W8Bv+PxqHbf02QRsRUy2inMGiKpw6NAhvPvuu3j33Xfx/PPPm7ocm7dwSDhkEuPeopFJBCwcEm7UYxJZEoYBIj1SUlIwYsQI9OzZEx999JGpyyEAjb2cMH9wmFGPuWBwGB9fTDaNYYCoEmq1Gi+88AKcnJywceNGSKWV98SnujWyUyDe7Guc2zVv9W2BEZ04V4BsG+cMEFVi5syZOHfuHI4fPw4fH5+q30B1anpkKHxcHDBv5yVodGKlcwgqIpUIkEkELBgcxiBABI4MEFVILpfjm2++wbJly9CpUydTl0OVGNkpEAdn90DX4PtLBqVVzCUo3d412BsHZ/dgECD6myCKYpVxOi8vD+7u7sjNzYWbm/6+3kSW7uzZs+jatSvGjRuHVatWmbocMlBCRj7Wn1Ig7nomFMrCcg81EnC/oVBkc1+M7RLIVQNkMwy9fjMMED1AqVSiQ4cOqF+/Po4dOwZHR0dTl0SPQKXWIEmpQrFGB3uZBEHezuwsSDbJ0Os3vzuI/qbVajFmzBgUFBTgyJEjDAIWzNlBxscQE1UDwwDR3z788EMcOHAAP//8M5o0aWLqcoiI6gzDABGAXbt24eOPP8bChQvRp08fU5dDRFSnuJqAbF5iYiLGjRuH5557Dm+//bapyyEiqnMMA2TTVCoVhgwZAj8/P6xduxYSCb8liMj28DYB2SxRFPHyyy/jxo0b+P333+HuzglnRGSbGAbIZn311VfYsGEDNm3ahLAw4/a6JyKyJBwTJZt0/PhxvPHGG5g9ezZGjBhh6nKIiEyKYYBsTlpaGl588UV07doVn376qanLISIyOYYBsiklJSUYPnw4BEHA5s2bYWdnZ+qSiIhMjnMGyKa89dZb+O2333DkyBE0aNDA1OUQEZkFhgGyGRs3bsTixYvx1VdfoWvXrqYuh4jIbPA2AdmECxcuYPLkyRgzZgxeffVVU5dDRGRWGAbI6t29exdDhw5FSEgIVq5cCUHQ/8x7IiJbw9sEZNV0Oh3Gjx+PrKws/PHHH3BycjJ1SUREZodhgKzaf//7X+zatQu7du1Cs2bNTF0OEZFZ4m0Cslr79+/HBx98gLlz52LgwIGmLoeIyGwxDJBVSkpKwqhRo/DMM89g7ty5pi6HiMisMQyQ1SkqKsKwYcPg5uaG9evXQyqVmrokIiKzxjkDZDFUag2SlCoUa3Swl0kQ5O0MZ4fyX8KiKOLVV1/F5cuXcfLkSXh5eZmoWiIiy8EwQGYtISMf608pEHctE4qcQogPbBMABHo5IbKFL8ZEBCLUzxWrVq2CXC5HTEwM2rVrZ6qyiYgsiiCKoljVTnl5eXB3d0dubi7c3Nzqoi6ycSk5hZiz/QKOJWZDKhGg1VX+ZVq6/fH6djj430l46YWBWL58eR1WS0Rkngy9fnNkgMzOptMKzNt5CZq/A4C+IPDg9vMZ9+Ab9RW6Pf94rddIRGRNGAbIrCyNS8Ci/dcf6b2CRApAivd3XcFdtRbTI0ONWxwRkZXiagIyG5tOKx45CPzTov3Xsfm0wijHIiKydhwZILOQklOIeTsvVbhNV1yEvFPboE69huK069DdK4D3gFlweby33mPO3XkJXZv5oLEXWxATEenDkQEyC3O2XyibI/BPusI85J7YiBJlCux8mxp8TI1OxJztF4xVIhGR1eLIAJlcQkY+jiVmV7pd6uKFRtNjIXXxhDotAelrZxt0XK1OxLHEbCRm5iPE19VY5RIRWR2ODJDJrT+lgFRS+WOFBZkdpC6ej3RsqUTAut84d4CISB+GATK5uGuZVS4ffFRanYi465m1cmwiImvBMEAmVaDWQJFTWKvnUCgLoVJravUcRESWjGGATCpZqULtjAn8jwggSamq5bMQEVkuhgEyqWKNzqrOQ0RkiRgGyKTsZXXzJVhX5yEiskT8CUkmFeTtjMrXERiH8Pd5iIioYgwDZDJqtRp7dm6HTH23Vs8T6O0EZwe21CAiqgx/QlKdEkURZ8+ehVwux4YNG3Dnzh20HDsXmkadIOoZI8j7Yxd091TQFuQAAIoSf4cm/36jIrcOgyBxrPg3f6lEQGRzX+N/ECIiK8IwQHUiMzMT69atQ0xMDC5cuICGDRvi5ZdfxoQJEyD1DECfL4/qfX/eqe3Q5v2vX0Dh9ZPA9ZMAAJewyErDgFYnYmyXQON9ECIiK8QwQLWmpKQEu3fvRkxMDHbv3g2JRILnnnsOn376Kfr06QOZ7H9fft1DfHDyhrLS5kON/rWm2ueXSgR0DfZmK2IioipwzgAZXXx8PF5//XUEBARgyJAhuHXrFr788kukpqZiy5Yt6N+/f7kgAAALh4RDpqcl8aOQSQQsHBJu1GMSEVkjjgyQUSiVSmzcuBFyuRxnz55F/fr1MW7cOEyYMAHh4VVfkBt7OWH+4DC8s814TxlcMDiMjy8mIjIAwwA9Mo1Gg/3790Mul2Pnzp3Q6XQYOHAg5s6diwEDBsDOzq5axxvZKRDZBWos2n+9xrW91bcFRnTiXAEiIkMwDFC1XblyBTExMYiNjUVaWhrCw8PxySefYMyYMfD1rdnM/emRofBxccC8nZeg0YnVeoCRVCJAJhGwYHAYgwARUTUwDJBB7t69i82bN0Mul+PUqVPw8vLC6NGjERUVhXbt2kEQjHe/f2SnQHRr5oM52y/gWGI2pBJBbygQdVoIEim6Bntj4ZBw3hogIqomhgGqlFarxaFDhyCXy7F9+3YUFxejX79+2Lp1KwYNGgQHB4daO3djLyfETopAQkY+1p9SIO56JhTKwnIPNRIABHg44FrcNkzt2QofT3q21uohIrJmgiiKVY7D5uXlwd3dHbm5uXBzc6uLusiEEhMTERMTg++++w4pKSl47LHHEBUVhXHjxqFhw4Ymq0ul1iBJqUKxRgd7mQRB3s5wdpBh1KhR+PPPP3HlyhWjjlAQEVk6Q6/fHBkgAEB+fj62bt0KuVyO48ePw83NDaNGjUJUVBQ6d+5sFhdZZwcZwvzdH3p96tSpiIyMxJEjR/D000/XfWFERBaOYcCG6XQ6HD16FHK5HN9//z2KiorQu3dvrF+/HkOGDEG9evVMXaJBevTogRYtWuCbb75hGCAiegQMAzYoKSkJa9euxdq1a3Hz5k00a9YM7777LsaPH4/AQMubhS8IAl5++WW88847yMrKQv369U1dEhGRRWEHQhtRWFiI2NhY9OrVC02bNsVnn32Gp59+GkePHkVCQgLef/99iwwCpV566SVIJBLExMSYuhQiIovDMGDFRFHEiRMnMGXKFDRo0ADjx4+HVqtFTEwM0tPTsWbNGnTv3t0s5gPUlLe3N1544QWsXLkSOp3O1OUQEVkU3iaoBZXNeq8rt27dQmxsLGJiYnD9+nU0adIEs2fPxksvvYTg4OA6q6OuTZ06FevXr0dcXBx69epl6nKIiCwGw4CRlK2Hv5YJRc7D6+EDvZwQ2cIXYyICEepn/Kfo3bt3Dz/++CPkcjkOHDgABwcHDBs2DMuXL8fTTz8NicT6B4GefPJJtGzZEitWrGAYICKqBvYZqKGUnEKDO+WVbu8e4mOUTnmiKOLMmTOQy+XYuHEj7t69i65duyIqKgovvvgi3N0fXoZn7RYvXow333wTKSkpaNCgganLISIyKUOv39b/62It2nRagd7RR3DyhhIAquyjX7r95A0lekcfwabTikc6b3p6OhYtWoTw8HB07twZO3fuxCuvvIKrV6/ixIkTmDx5sk0GAQAYP348ZDIZ5HK5qUshIrIYHBl4REvjEozydL03+zbH9MjQKvcrLi7GTz/9BLlcjr1790Imk+H555/HhAkT0KdPH0il0hrXYi1eeuklHDt2DImJiTZxe4SIqDIcGahFm04rjBIEAGDR/uvYrGeE4Ny5c5g5cyb8/f0xbNgwZGRkYMmSJUhLS8OmTZvQr18/BoF/mDZtGm7evIkDBw6YuhQiIovAkYFqSskpRO/oI1BrKl++pk5PRO7xDVDfugxRUwKZhx9c2vaDW8fBFe7vIJPg4OweZXMIsrOzsX79esTExODcuXPw9fXFuHHjMGHCBLRu3bpWPpc1EUURbdq0QUhICLZt22bqcoiITIbPJqglc7ZfgEbP3ICim2eR+f0C2Ps1g3vXkRDsHaG5mw5tfnal79HoRLyzLR4j/bIQExODXbt2QRRFDBo0CAsWLEC/fv1gZ2dXGx/HKgmCgKlTp2LmzJlITU2Fv7+/qUsiIjJrHBmohoSMfPT58mil23XqQtxe+TIcAlqi/pB3IQjVuwtze9U0hDXyRlRUFEaPHs22ujWQm5sLf39/vPvuu3j//fdNXQ4RkUlwzkAtWH9KAamk8m59qsuHoVPdhedT4yEIEuiK70EUDeuGJ4g6vPxpbNkcAQaBmnF3d8fIkSOxatUqaLVaU5dDRGTWGAaqIe5apt7lg/eSzkFwcIKmQInbK6ci5YsXkPLFcCj3LYOoKdZ7bFGQ4OKdKgdpqBqmTp0KhUKBffv2mboUIiKzxjBgoAK1BoqcQr37lOSkAjotsn74CPWatkf9IXPg8ngfFPy5F9m7v6zyHAplIVRqjZEqpk6dOqFt27b45ptvTF0KEZFZYxgwULJShap+bxdL7kEsUcO5dU949ZkKpxZd4dVnKlza9kPhlaMoybmt//0AkpQqo9Vs60onEv7000+4deuWqcshIjJbDAMGKtazlLCUILMHADi37FHudedWTwMA1LevGuU8ZLjRo0ejXr16+Pbbb01dChGR2WIYMJC9rOq/KqmL9/3/OnuUf935fmtg3b0Co5yHDOfm5obRo0dj9erV0Gh4C4aIqCK88hgoyNsZla8juM++QTMAgCZfWe51TX4OAEDqpP95AcLf5yHjmjp1Km7duoW9e/eauhQiIrPEMGAgZwcZAqt4yqDzY90BAAXx+8u9XhC/H5BI4RAYrvf9gd5OcHZgHyhj69ChAzp06IAVK1aYuhQiIrPEK081RLbwReyp5EqXF9o3aAbnx/tAFX8AWTodHANb457iAgqvHofbEy9C5upd6bGlEgGRzX1rq3SbN3XqVEydOhXJyclo0qSJqcshIjIrHBmohjERgVU+ptj7mVfh/uRoqFOvIefgKhRn/AXPXlPg2eMlve/T6kSM7RJozHLpAaNGjYKLiwtWr15t6lKIiMwO2xFX07hvT+HkDWWVoaA6pBIBXYO9ETspwmjHpIe98sor+PHHH5GcnMxnPRCRTWA74lqycEg4ZHpaEj8KmUTAwiH65xNQzU2dOhVpaWn46aefTF0KEZFZYRiopsZeTpg/OMyox1wwOKzs8cVUe9q2bYvOnTuX60ioUmtwKTUXfyru4FJqLjtAEpFN4gTCRzCyUyCyC9RYtP96jY/1Vt8WGNGJcwXqyrRp0zD13x9i9rpfcTbtHhQ5heU6SwoAAr2cENnCF2MiAhHq52qqUomI6gznDNTAptMKzNt5CRqdWK05BFKJAJlEwILBYQwCdSglpxBv/3AOJ2/cgQARop7OEVKJAK1ORPcQHywcEs6RGyKySIZevxkGaiglpxBztl/AscTssgtIZXiBMZ2aBrf5g8MwksGNiCwMw0AdS8jIx/pTCsRdz4RCWcHQs7cTIpv7YmyXQIT4cui5Li2NSzDKLZ03+zbH9MhQI1RERFQ3GAZMSKXWIEmpQrFGB3uZBEHezuwsaCKbTivwzrYLRjvep0PDeWuHiCyGoddvXqFqgbODDGH++p9DQLUvJacQ83ZeqnBb9k/RUF38pdL3BrwaA5mrz0Ovz915CV2b+fAWDxFZFYYBslpztl+AppL5Aa7t+sExqO0/XhWRs28ZZO5+FQYBANDoRMzZfoENoojIqjAMkFVKyMjHscTsSrc7BLSEQ0DLcq/dS7kEsUQN51ZPV/o+rU7EscRsJGbmc+4HEVkNNh0iq7T+lALSanaKVF0+AkCAc6seeveTSgSs+01Rg+qIiMwLwwBZpbhrmdVaQihqNSi8ehwOjVpC5uGnd1+tTkTc9cyalkhEZDYYBsjqFKg1UOQUVus9RTfPQleUp/cWwYMUykK2LiYiq8EwQFYnWalCdZ8pqbp8BJDI4NTySYP2FwEkKVXVro2IyBwxDJDVKdboqrW/rrgIRQm/oV7TdpDWM7yPRnXPQ0RkrhgGyOrYy6r3ZV14/bf7qwjCnq7V8xARmSv+NCOrE+TtrOcRRA9TXT4Mwb4e6oUa3jtA+Ps8RETWgGGArI6zgwyBBnYI1Bbm4l7SOTiFdoHEztHgcwR6O7HFNBFZDYYBskqRLXwN6jOgunIU0GmrdYtAKhEQ2dy3BtUREZkXhgGySmMiAg3qM6C6dBgSJ48KWhNXTqsTMbYLH1ZERNaD45xklUL9XNE9xAcnbyj1hoKG4z+v1nGlEgFdg73ZipiIrApHBshqLRwSDlk1WxJXRSYRsHBIuFGPSURkagwDZLUaezlh/uAwox5zweAwPr6YiKwOwwBZtZGdAvFm3+ZGOdZbfVtgRCfOFSAi68M5A2T1pkeGwsfFAfN2XoJGJ1brAUZSiQCZRMCCwWEMAkRktTgyQDZhZKdAHJzdA12DvQGgymWHpdu7Bnvj4OweDAJEZNU4MkA2o7GXE2InRSAhIx/rTykQdz0TCmVhuYcaCbjfUCiyuS/GdgnkqgEisgmCKIpVjpnm5eXB3d0dubm5cHMz/EEuROZOpdYgSalCsUYHe5kEQd7O7CxIRFbD0Os3f+qRTXN2kCHM393UZRARmRTnDBAREdk4hgEiIiIbxzBARERk4xgGiIiIbBzDABERkY1jGCAiIrJxDANEREQ2jmGAiIjIxjEMEBER2TiGASIiIhvHMEBERGTjGAaIiIhsHMMAERGRjWMYICIisnEMA0RERDaOYYCIiMjGyQzZSRRFAEBeXl6tFkNERETGU3rdLr2OV8agMJCfnw8AaNy4cQ3LIiIiorqWn58Pd3f3SrcLYlVxAYBOp0NqaipcXV0hCIJRCyQiIqLaIYoi8vPz4e/vD4mk8pkBBoUBIiIisl6cQEhERGTjGAaIiIhsHMMAERGRjWMYICIisnEMA0RERDaOYYCIiMjGMQwQERHZuP8HYtTeNj+NMtIAAAAASUVORK5CYII=",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"class Graph:\n",
|
|
" def __init__(self, adj_list: dict = {}, name=\"Graph\", directed=False):\n",
|
|
" self.plt = plt\n",
|
|
"\n",
|
|
" self.nx = nx\n",
|
|
" # validation\n",
|
|
"\n",
|
|
" tmp = []\n",
|
|
" for i in adj_list:\n",
|
|
" tmp.extend(adj_list[i])\n",
|
|
"\n",
|
|
" if not directed and set(tmp) == set(adj_list.keys()):\n",
|
|
" self.adj_list = adj_list\n",
|
|
" self.directed = directed\n",
|
|
" self.name = name\n",
|
|
" else:\n",
|
|
" print(\"Error : It is not a valid graph\")\n",
|
|
"\n",
|
|
" def __str__(self):\n",
|
|
" string = \" \" + self.name + \"\\n\"\n",
|
|
" for i in self.adj_list.keys():\n",
|
|
" string += (\n",
|
|
" str(i) + \" : [\" + \",\".join([str(j) for j in self.adj_list[i]]) + \"]\\n\"\n",
|
|
" )\n",
|
|
" return string\n",
|
|
"\n",
|
|
" def add_node(self, node):\n",
|
|
" if node not in self.adj_list.keys():\n",
|
|
" self.adj_list[node] = []\n",
|
|
" else:\n",
|
|
" print(f\"Warning : the node'{node}' already exists\")\n",
|
|
"\n",
|
|
" def add_edge(self, node1, node2):\n",
|
|
" graph = self.adj_list\n",
|
|
" if node1 in graph and node2 in graph:\n",
|
|
" graph[node1].append(node2)\n",
|
|
" if not self.directed:\n",
|
|
" graph[node2].append(node1)\n",
|
|
<<<<<<< HEAD
|
|
" def get_node_set(self):\n",
|
|
" return list(self.adj_list.keys())\n",
|
|
" def get_edg_set(self):\n",
|
|
=======
|
|
"\n",
|
|
" def get_nodeSet(self):\n",
|
|
" return list(self.adj_list.keys())\n",
|
|
"\n",
|
|
" def get_edgSet(self):\n",
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
" edgSet = []\n",
|
|
" for i in self.adj_list.keys():\n",
|
|
" for j in self.adj_list[i]:\n",
|
|
" edgSet.append(tuple([i, j]))\n",
|
|
" return edgSet\n",
|
|
"\n",
|
|
" def dfs(self, node):\n",
|
|
" if node in self.adj_list.keys():\n",
|
|
" traverse = []\n",
|
|
" visited = set()\n",
|
|
" stack = [node]\n",
|
|
" while stack:\n",
|
|
" current = stack.pop()\n",
|
|
" if current not in visited:\n",
|
|
" visited.add(current)\n",
|
|
" traverse.append(current)\n",
|
|
" stack.extend(self.adj_list[current])\n",
|
|
"\n",
|
|
" return traverse\n",
|
|
" else:\n",
|
|
" print(f\"Error : node'{node}' does not exist in graph\")\n",
|
|
"\n",
|
|
" def bfs(self, node):\n",
|
|
" if node in self.adj_list.keys():\n",
|
|
" traverse = []\n",
|
|
" visited = set()\n",
|
|
" queue = [node]\n",
|
|
" while queue:\n",
|
|
" current = queue.pop(0)\n",
|
|
" if current not in visited:\n",
|
|
" visited.add(current)\n",
|
|
" traverse.append(current)\n",
|
|
" queue.extend(self.adj_list[current])\n",
|
|
" return traverse\n",
|
|
"\n",
|
|
" else:\n",
|
|
" print(f\"Error : node'{node}' does not exist in graph\")\n",
|
|
"\n",
|
|
<<<<<<< HEAD
|
|
" def get_path(self, n1,n2, path=[]):\n",
|
|
" g= self.adj_list\n",
|
|
" path +=[n1]\n",
|
|
" if n2 not in g[n1]:\n",
|
|
" for i in g[n1]:\n",
|
|
" if(i not in path):\n",
|
|
" path1 = self.get_path(i, n2, path.copy())\n",
|
|
" if(path1):\n",
|
|
" return path1 \n",
|
|
=======
|
|
" def getPath(self, n1, n2, path=[]):\n",
|
|
" g = self.adj_list\n",
|
|
" path += [n1]\n",
|
|
" if n2 not in g[n1]:\n",
|
|
" for i in g[n1]:\n",
|
|
" if i not in path:\n",
|
|
" path1 = self.getPath(i, n2, path.copy())\n",
|
|
" if path1:\n",
|
|
" return path1\n",
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
" else:\n",
|
|
" return path + [n2]\n",
|
|
"\n",
|
|
" def opt_path(self, path):\n",
|
|
" g = self.adj_list\n",
|
|
" l = len(path)\n",
|
|
" path1 = path.copy()\n",
|
|
" t = 2\n",
|
|
" for i in range(l):\n",
|
|
" for j in range(i + 2, l):\n",
|
|
" if abs(j - i) > t:\n",
|
|
" n1 = path[i]\n",
|
|
" n2 = path[j]\n",
|
|
<<<<<<< HEAD
|
|
" if(n2 in g[n1]):\n",
|
|
" path1 = path[:i+1]+path[j:]\n",
|
|
" t = abs(j-i)\n",
|
|
" return path1 \n",
|
|
" def sortest_path(self,n1,n2):\n",
|
|
" path = self.get_path(n1,n2)\n",
|
|
" spath =self.opt_path(path)\n",
|
|
=======
|
|
" if n2 in g[n1]:\n",
|
|
" path1 = path[: i + 1] + path[j:]\n",
|
|
" t = abs(j - i)\n",
|
|
" return path1\n",
|
|
"\n",
|
|
" def sortestPath(self, n1, n2):\n",
|
|
" path = self.getPath(n1, n2)\n",
|
|
" spath = self.opt_path(path)\n",
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
" return spath\n",
|
|
"\n",
|
|
" def display(self):\n",
|
|
" G = self.nx.Graph()\n",
|
|
" G.add_nodes_from(self.get_node_set())\n",
|
|
" G.add_edges_from(self.get_edg_set())\n",
|
|
" self.nx.draw_networkx(G)\n",
|
|
" self.plt.title(self.name)\n",
|
|
" self.plt.show()\n",
|
|
<<<<<<< HEAD
|
|
" def make_tree(self, Root=None):\n",
|
|
=======
|
|
"\n",
|
|
" def makeTree(self, Root=None):\n",
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
" temp_ls = dict()\n",
|
|
" if (Root == None) or (Root not in self.adj_list.keys()):\n",
|
|
" root = list(self.adj_list.keys())[0]\n",
|
|
" else:\n",
|
|
" root = Root\n",
|
|
" temp_ls[root] = [root]\n",
|
|
" stack = [root]\n",
|
|
"\n",
|
|
" def visite(root):\n",
|
|
" for i in self.adj_list[root]:\n",
|
|
" if root not in temp_ls:\n",
|
|
" temp_ls[root] = list()\n",
|
|
" if i not in stack:\n",
|
|
" stack.append(i)\n",
|
|
" temp_ls[root].append(i)\n",
|
|
" visite(i)\n",
|
|
"\n",
|
|
" visite(root)\n",
|
|
"\n",
|
|
" return temp_ls\n",
|
|
"\n",
|
|
"\n",
|
|
"adj_list = {\n",
|
|
" 0: [3, 5, 9, 10, 1],\n",
|
|
" 1: [6, 7, 4, 0, 10],\n",
|
|
" 2: [10, 5],\n",
|
|
" 3: [0],\n",
|
|
" 4: [1, 5, 8],\n",
|
|
" 5: [2, 0, 4],\n",
|
|
" 6: [1],\n",
|
|
" 7: [1],\n",
|
|
" 8: [4],\n",
|
|
" 9: [0],\n",
|
|
" 10: [2, 0],\n",
|
|
"}\n",
|
|
"g = Graph(adj_list, name=\"Demo\")\n",
|
|
"g.display()\n",
|
|
"for i in adj_list:\n",
|
|
<<<<<<< HEAD
|
|
" \n",
|
|
" g1 = Graph(g.make_tree(Root=i),name=\"Demo tree_\"+str(i))\n",
|
|
" g1.display()\n"
|
|
=======
|
|
" g1 = Graph(g.makeTree(Root=i), name=\"Demo tree_\" + str(i))\n",
|
|
" g1.display()"
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "29d9be84",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "03f1967f",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "8db9672a",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"id": "457ca038",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" Demo\n",
|
|
"0 : [3,5,9,10,1]\n",
|
|
"1 : [6,7,4,0,10]\n",
|
|
"2 : [10,5]\n",
|
|
"3 : [0]\n",
|
|
"4 : [1,5,8]\n",
|
|
"5 : [2,0,4]\n",
|
|
"6 : [1]\n",
|
|
"7 : [1]\n",
|
|
"8 : [4]\n",
|
|
"9 : [0]\n",
|
|
"10 : [2,0]\n",
|
|
"\n",
|
|
" Demo\n",
|
|
"0 : [3,5,9,10,1]\n",
|
|
"1 : [6,7,4,0,10]\n",
|
|
"2 : [10,5]\n",
|
|
"3 : [0]\n",
|
|
"4 : [1,5,8]\n",
|
|
"5 : [2,0,4]\n",
|
|
"6 : [1]\n",
|
|
"7 : [1]\n",
|
|
"8 : [4,10]\n",
|
|
"9 : [0]\n",
|
|
"10 : [2,0,8]\n",
|
|
"\n",
|
|
"[8, 10]\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"print(g)\n",
|
|
"g.add_edge(8, 10)\n",
|
|
"print(g)\n",
|
|
<<<<<<< HEAD
|
|
"print(g.sortest_path(8,10))\n",
|
|
=======
|
|
"print(g.sortestPath(8, 10))\n",
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
"g.display()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "affba892",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "9862c226",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[1, 2, 2, 3, 4, 5, 1, 7, 9, 90, 23, 41]"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"class Tree:\n",
|
|
" def __init__(self, data, parent=None):\n",
|
|
" self.data = data\n",
|
|
" self.childs = []\n",
|
|
"\n",
|
|
" def addChild(self, *nodes):\n",
|
|
" childs = [Tree(i, parent=self) for i in nodes]\n",
|
|
" self.childs.extend(childs)\n",
|
|
" if len(childs) == 1:\n",
|
|
" return childs[0]\n",
|
|
" return childs\n",
|
|
<<<<<<< HEAD
|
|
" \n",
|
|
" def get_childs(self):\n",
|
|
" return [i.data for i in self.childs]\n",
|
|
=======
|
|
"\n",
|
|
" def getChilds(self):\n",
|
|
" return [i.data for i in self.childs]\n",
|
|
"\n",
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
" def getElements(self):\n",
|
|
" elements = [self.data]\n",
|
|
" for i in self.childs:\n",
|
|
" elements.extend(i.getElements())\n",
|
|
" return elements\n",
|
|
"\n",
|
|
" def traverse(self, order=\"pre\"):\n",
|
|
" ls = []\n",
|
|
" if order == \"pre\":\n",
|
|
" ls.append(self.data)\n",
|
|
" for i in self.childs:\n",
|
|
" ls.extend(i.traverse(order=order))\n",
|
|
" return ls\n",
|
|
" elif order == \"post\":\n",
|
|
" for i in self.childs:\n",
|
|
" ls.extend(i.traverse(order=order))\n",
|
|
" ls.append(self.data)\n",
|
|
" return ls\n",
|
|
"\n",
|
|
"\n",
|
|
"tree = Tree(1)\n",
|
|
"t2 = tree.addChild(2)\n",
|
|
"t2t3 = t2.addChild(2, 3, 4, 5, 1, 7, 9)\n",
|
|
"tree.addChild(90, 23, 41)\n",
|
|
"tree.getElements()\n",
|
|
"# tree.traverse()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "102b3cb1",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[2, 3, 4, 5, 1, 7, 9, 2, 90, 23, 41, 1]"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"tree.traverse(\"post\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "69202f88",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "99b975a8",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"class BTree:\n",
|
|
" def __init__(self, data, parent=None):\n",
|
|
" self.data = data\n",
|
|
" self.left = None\n",
|
|
" self.right = None\n",
|
|
" self.parent = parent\n",
|
|
"\n",
|
|
" def getElement(self, idx):\n",
|
|
" path = []\n",
|
|
" while idx > 0:\n",
|
|
" if idx % 2 == 1:\n",
|
|
" path.append((idx % 2))\n",
|
|
" idx //= 2\n",
|
|
" else:\n",
|
|
" path.append((idx % 2) + 2)\n",
|
|
" idx = idx // 2 - 1\n",
|
|
" temp = self\n",
|
|
" while path and temp:\n",
|
|
" dr = path.pop()\n",
|
|
" if dr == 1:\n",
|
|
" temp = temp.left\n",
|
|
" else:\n",
|
|
" temp = temp.right\n",
|
|
" if temp:\n",
|
|
" return temp\n",
|
|
" else:\n",
|
|
" print(\"id does not exists\")\n",
|
|
<<<<<<< HEAD
|
|
" \n",
|
|
" def get_depth(self):\n",
|
|
" ld = self.left.get_depth() if self.left else -1\n",
|
|
" rd = self.right.get_depth() if self.right else -1\n",
|
|
" return max(ld,rd)+1\n",
|
|
" def is_balanced(self):\n",
|
|
" ld = self.left.get_depth() if self.left else -1\n",
|
|
" rd= self.right.get_depth() if self.right else -1\n",
|
|
" if(abs(ld-rd) in [0,1]):\n",
|
|
" lb = self.left.is_balanced() if self.left else True\n",
|
|
" rb = self.right.is_balanced() if self.right else True\n",
|
|
" return bool(lb*rb)\n",
|
|
" \n",
|
|
" def get_parent(self):\n",
|
|
" return self.parent\n",
|
|
" \n",
|
|
" def get_childs(self):\n",
|
|
" return [self.left, self.right]\n",
|
|
" \n",
|
|
" def get_id(self):\n",
|
|
" if(self.parent != None):\n",
|
|
" if(self == self.parent.left):\n",
|
|
" return self.parent.get_id()*2 + 1\n",
|
|
" else:\n",
|
|
" return self.parent.get_id()*2 + 2\n",
|
|
=======
|
|
"\n",
|
|
" def getDepth(self):\n",
|
|
" ld = self.left.getDepth() if self.left else -1\n",
|
|
" rd = self.right.getDepth() if self.right else -1\n",
|
|
" return max(ld, rd) + 1\n",
|
|
"\n",
|
|
" def isBalanced(self):\n",
|
|
" ld = self.left.getDepth() if self.left else -1\n",
|
|
" rd = self.right.getDepth() if self.right else -1\n",
|
|
" if abs(ld - rd) in [0, 1]:\n",
|
|
" lb = self.left.isBalanced() if self.left else True\n",
|
|
" rb = self.right.isBalanced() if self.right else True\n",
|
|
" return bool(lb * rb)\n",
|
|
"\n",
|
|
" def getParent(self):\n",
|
|
" return self.parent\n",
|
|
"\n",
|
|
" def getChilds(self):\n",
|
|
" return [self.left, self.right]\n",
|
|
"\n",
|
|
" def getId(self):\n",
|
|
" if self.parent != None:\n",
|
|
" if self == self.parent.left:\n",
|
|
" return self.parent.getId() * 2 + 1\n",
|
|
" else:\n",
|
|
" return self.parent.getId() * 2 + 2\n",
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
" else:\n",
|
|
" return 0\n",
|
|
"\n",
|
|
" def __setattr__(self, key, value):\n",
|
|
" self.__dict__[key] = value\n",
|
|
" if value:\n",
|
|
" if key in [\"left\", \"right\"]:\n",
|
|
" value.parent = self\n",
|
|
<<<<<<< HEAD
|
|
" \n",
|
|
" \n",
|
|
" def get_size(self):\n",
|
|
" lsize = self.left.get_size() if self.left else 0\n",
|
|
" rsize = self.right.get_size() if self.right else 0\n",
|
|
" return lsize+1+rsize\n",
|
|
" \n",
|
|
" def add_data(self, data, idx=-1):\n",
|
|
" if(idx==-1):\n",
|
|
" q = [] \n",
|
|
" q.append(self) \n",
|
|
" while (len(q)): \n",
|
|
" temp = q[0] \n",
|
|
" q.pop(0) \n",
|
|
" if (not temp.left):\n",
|
|
" temp.left = BTree(data, parent=temp) \n",
|
|
=======
|
|
"\n",
|
|
" def getSize(self):\n",
|
|
" lsize = self.left.getSize() if self.left else 0\n",
|
|
" rsize = self.right.getSize() if self.right else 0\n",
|
|
" return lsize + 1 + rsize\n",
|
|
"\n",
|
|
" def addData(self, data, idx=-1):\n",
|
|
" if idx == -1:\n",
|
|
" q = []\n",
|
|
" q.append(self)\n",
|
|
" while len(q):\n",
|
|
" temp = q[0]\n",
|
|
" q.pop(0)\n",
|
|
" if not temp.left:\n",
|
|
" temp.left = BTree(data, parent=temp)\n",
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
" break\n",
|
|
" else:\n",
|
|
" q.append(temp.left)\n",
|
|
" if not temp.right:\n",
|
|
" temp.right = BTree(data, parent=temp)\n",
|
|
" break\n",
|
|
" else:\n",
|
|
" q.append(temp.right)\n",
|
|
" else:\n",
|
|
" dr = idx % 2\n",
|
|
" if dr == 1:\n",
|
|
" ele = self.getElement(idx // 2)\n",
|
|
" ele.left = BTree(data, parent=ele)\n",
|
|
" else:\n",
|
|
" ele = self.getElement(idx // 2 - 1)\n",
|
|
" ele.right = BTree(data, parent=ele)\n",
|
|
<<<<<<< HEAD
|
|
" def add_node(self, node, idx=-1):\n",
|
|
" if(idx==-1):\n",
|
|
" q = [] \n",
|
|
" q.append(self) \n",
|
|
" while (len(q)): \n",
|
|
" temp = q[0] \n",
|
|
" q.pop(0) \n",
|
|
" if (not temp.left):\n",
|
|
" temp.left = node \n",
|
|
=======
|
|
"\n",
|
|
" def addNode(self, node, idx=-1):\n",
|
|
" if idx == -1:\n",
|
|
" q = []\n",
|
|
" q.append(self)\n",
|
|
" while len(q):\n",
|
|
" temp = q[0]\n",
|
|
" q.pop(0)\n",
|
|
" if not temp.left:\n",
|
|
" temp.left = node\n",
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
" break\n",
|
|
" else:\n",
|
|
" q.append(temp.left)\n",
|
|
" if not temp.right:\n",
|
|
" temp.right = node\n",
|
|
" break\n",
|
|
" else:\n",
|
|
" q.append(temp.right)\n",
|
|
"\n",
|
|
" def traverse(self, order=\"pre\"):\n",
|
|
" ls = []\n",
|
|
" if order == \"pre\":\n",
|
|
" ls.append(self.data)\n",
|
|
" if self.left:\n",
|
|
" ls.extend(self.left.traverse(order))\n",
|
|
" if self.right:\n",
|
|
" ls.extend(self.right.traverse(order))\n",
|
|
" return ls\n",
|
|
" elif order == \"post\":\n",
|
|
" if self.left:\n",
|
|
" ls.extend(self.left.traverse(order))\n",
|
|
" if self.right:\n",
|
|
" ls.extend(self.right.traverse(order))\n",
|
|
" ls.append(self.data)\n",
|
|
" return ls\n",
|
|
" elif order == \"in\":\n",
|
|
" if self.left:\n",
|
|
" ls.extend(self.left.traverse(order))\n",
|
|
" ls.append(self.data)\n",
|
|
" if self.right:\n",
|
|
" ls.extend(self.right.traverse(order))\n",
|
|
" return ls"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"id": "9a28bb90",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[3, 4, 1, 5, 2, 0]"
|
|
]
|
|
},
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"bt = BTree(0)\n",
|
|
"bt.left = BTree(1)\n",
|
|
"bt.right = BTree(2)\n",
|
|
"bt.left.left = BTree(3)\n",
|
|
"bt.left.right = BTree(4)\n",
|
|
"bt.right.left = BTree(5)\n",
|
|
"\n",
|
|
"\n",
|
|
"# bt.getElement(5)\n",
|
|
"bt.traverse(\"post\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"id": "af6dc0c6",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[9, 8, 17, 5, 11, 3, 4, 6, 14]"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr = BTree(3)\n",
|
|
"ls = [5, 6, 8, 11, 4, 14, 9, 17]\n",
|
|
"for i in ls:\n",
|
|
" btr.add_data(i)\n",
|
|
"btr.traverse(order=\"in\")\n",
|
|
"# btr.getElement(5).get_id()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"id": "d77046ab",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[3, 50, 6, 4, 14]"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr.add_data(50, idx=1)\n",
|
|
"btr.traverse()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "aa1c5c64",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"3"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr.data"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"id": "26662a5c",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(6, 5)"
|
|
]
|
|
},
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr.getElement(1).get_id()\n",
|
|
"\n",
|
|
"\n",
|
|
<<<<<<< HEAD
|
|
"bt.get_size(),btr.get_size()"
|
|
=======
|
|
"bt.getSize(), btr.getSize()"
|
|
>>>>>>> ffbe3bbd8623bff453d16b942b7cf035c20d808c
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"id": "83acc37e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[3, 50, 6, 4, 14]"
|
|
]
|
|
},
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr.traverse()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "563a1e0c",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "3d20a2c3-fbfb-454e-83fc-95f70d674426",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"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": "3.12.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|