2024-06-21 06:30:38 +00:00
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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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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": 30,
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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": 52,
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"id": "1a17a18b",
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2024-11-20 17:22:43 +00:00
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"metadata": {},
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2024-06-21 06:30:38 +00:00
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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": [
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"<Figure size 640x480 with 1 Axes>"
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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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"data": {
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"image/png": "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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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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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"data": {
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"text/plain": [
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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"image/png": "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
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"output_type": "display_data"
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"data": {
|
|
|
|
|
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAGZCAYAAAAUzjLvAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABbRklEQVR4nO3deVxU9foH8M8sLLIqIK4MiAsq4pKKSplRbrmj4m7acs2riWnWLeuXZuZS3mu5lNUtLZdQTEzcpXA3RQVFTAGVzQVkUJYZtpk5vz8MrigM2wyzfd6vl38w55zv95kC5uF8n+9zRIIgCCAiIiKLJTZ0AERERGRYTAaIiIgsHJMBIiIiC8dkgIiIyMIxGSAiIrJwTAaIiIgsHJMBIiIiC8dkgIiIyMIxGSAiIrJwTAaItNi0aRNEIlHZP1tbWzRt2hSBgYFYvnw5MjMzDR1irW3btg1ffvmlocOoUnx8PGbNmoU+ffrA3t4eIpEIR48erfT80NBQdO3aFba2tmjevDnefvtt5Ofn11/ARCaIyQBRNWzcuBFnzpzBkSNHsH79enTt2hUrV65Ehw4dEBkZaejwasVUkoHz589j9+7dcHFxwUsvvaT13K1bt2LixIno2bMnDhw4gEWLFmHTpk0YPXp0PUVLZJpEfDYBUeU2bdqEV199FdHR0ejRo0e5Y6mpqXjuuefw8OFDJCYmokmTJgaKsnaGDRuGK1euIDk5ucpz1Wo1VCoVbGxs9B/YEzQaDcTiR3+37Ny5E8HBwYiKisILL7zwVIweHh7w8/PDoUOHyl7ftm0bJk+ejP379+Pll1+uz9CJTAbvDBDVkkwmw7///W/k5eXh22+/LXfs/PnzGDFiBFxcXGBra4tu3bphx44d5c4pXYL4448/8I9//AOurq5wcnLCK6+8AoVCgXv37mHcuHFo2LAhmjVrhgULFqCkpKTcGNnZ2Zg1axZatGgBa2treHt748MPP0RRUZHW2F944QXs27cPKSkp5ZZBACA5ORkikQiff/45li5dilatWsHGxgZRUVHVfm8AcO/ePbz55pto2bIlrK2t0apVK3zyySdQqVQ1+u9cmghU5c8//8Tdu3fx6quvlns9ODgYDg4OCA8Pr9G8RJZEaugAiEzZkCFDIJFIcPz48bLXoqKiMHjwYPTq1QsbNmyAs7MzQkNDMX78eCiVSkyfPr3cGG+88QZGjx6N0NBQxMTEYOHChVCpVLh+/TpGjx6NGTNmIDIyEitXrkTz5s0xf/58AEBhYSECAwNx48YNfPLJJ+jcuTNOnDiB5cuXIzY2Fvv27as07q+//hozZszAjRs3Kv2QXLNmDdq1a4dVq1bByckJbdu2rfZ7u3fvHvz9/SEWi/Hxxx+jdevWOHPmDJYuXYrk5GRs3Lixbv/hK3DlyhUAQOfOncu9bmVlhfbt25cdJ6IKCERUqY0bNwoAhOjo6ErPadKkidChQ4eyr9u3by9069ZNKCkpKXfesGHDhGbNmglqtbrc2HPmzCl33qhRowQAwn/+859yr3ft2lV45plnyr7esGGDAEDYsWNHufNWrlwpABAOHz6s9b0NHTpU8PT0fOr1W7duCQCE1q1bC8XFxeWOVfe9vfnmm4KDg4OQkpJS7rxVq1YJAIT4+HitsVUmLCxMACBERUU9deyzzz4TAAh379596tjAgQOFdu3a1WpOIkvAZQKiOhIeK7tJSkrCtWvXMHnyZACASqUq+zdkyBDcvXsX169fL3f9sGHDyn3doUMHAMDQoUOfej0lJaXs6z/++AP29vYYO3ZsufNK/zr//fff6/S+RowYASsrq1q9t7179yIwMBDNmzcvd17pmv2xY8fqFJs2pcsd1X2diLhMQFQnCoUCcrkcfn5+AICMjAwAwIIFC7BgwYIKr8nKyir3tYuLS7mvra2tK329sLCw7Gu5XI6mTZs+9SHn7u4OqVQKuVxei3f0P82aNSv3dU3eW0ZGBiIiIsolExWdp0uurq4AHv13ebKYMzs7+6n/nkT0P0wGiOpg3759UKvVZZXtbm5uAIAPPvig0u1sPj4+Opnb1dUVZ8+ehSAI5RKCzMxMqFSqslhq68kkoybvzc3NDZ07d8Znn31W4XnNmzevU2wVKU3I4uLi0LFjx7LXVSoVrl27hokTJ+p8TiJzwWSAqJZSU1OxYMECODs748033wTw6MOwbdu2uHTpEpYtW6bX+V966SXs2LEDu3fvRlBQUNnrP//8c9lxbWxsbFBQUFDt+Wry3oYNG4b9+/ejdevWaNSoUbXnqItevXqhWbNm2LRpE8aPH1/2+s6dO5Gfn89eA0RaMBkgqoYrV66UrXtnZmbixIkT2LhxIyQSCcLDw9G4ceOyc7/99lu8/PLLGDRoEKZPn44WLVogOzsbf/31Fy5evIiwsDCdxPTKK69g/fr1mDZtGpKTk+Hn54eTJ09i2bJlGDJkCPr376/1ej8/P+zatQvffPMNunfvDrFY/FQvhSdV970tWbIER44cQUBAAEJCQuDj44PCwkIkJydj//792LBhA1q2bFmt96lUKrF//34Aj7YPAo9qDrKysmBvb19WhyCRSPD5559j6tSpePPNNzFx4kQkJibivffew4ABAzB48OBqzUdkkQxdwUhkzEor/kv/WVtbC+7u7kK/fv2EZcuWCZmZmRVed+nSJWHcuHGCu7u7YGVlJTRt2lR48cUXhQ0bNjw19pM7FRYtWiQAEO7fv1/u9WnTpgn29vblXpPL5cLMmTOFZs2aCVKpVPD09BQ++OADobCwsMr3lp2dLYwdO1Zo2LChIBKJhNJfB6W7Cb744otavzdBEIT79+8LISEhQqtWrQQrKyvBxcVF6N69u/Dhhx8K+fn5VcZXqjSeiv5VtBti27ZtQufOnQVra2uhadOmQkhIiJCXl1ft+YgsETsQEhERWThuLSQiIrJwrBkgIoNQq9XQdmNSJBJBIpHUY0RElot3BojIIF566SVYWVlV+q9169aGDpHIYrBmgIgM4vr168jLy6v0uI2NTVnvACLSLyYDREREFq5aNQMajQZ37tyBo6Mj+3sTERGZCEEQkJeXh+bNm2t9HHi1koE7d+7Aw8NDZ8ERERFR/UlLS9Pa6KtayYCjo2PZYE5OTrqJjIiIiPQqNzcXHh4eZZ/jlalWMlC6NODk5MRkgIiIyMRUtcTPrYVEREQWjskAERGRhWMyQEREZOGYDBAREVk4JgNEREQWjskAERGRhWMyQEREZOGYDBAREVk4JgNEREQWjskAERGRhWMyQEREZOGYDBAREVk4JgNEREQWjskAERGRhWMyQEREZOGYDBAREVk4qaEDIKoNRZEKyXIFilUaWEvF8HK1h70Nv52JiGqDvz3JZCRm5GHr2VREXc9EarYSwmPHRABkLnYI9HHH5F4ytG3iaKgwiYhMjkgQBKGqk3Jzc+Hs7IycnBw4OTnVR1xEZdKylVgYHocTSVmQiEVQayr/li093reNG5YF+cHDxa4eIyUiMi7V/fxmzQAZtdDoVPRffQynb8oBQGsi8Pjx0zfl6L/6GEKjU/UeIxGRqeMyARmtdVGJWHU4oVbXqjUC1BoB7++KQ1Z+Ed4KbKvj6IiIzAfvDJBRCo1OrXUi8KRVhxOwnXcIiIgqxWSAjE5athKL9sTrdMyP98QjLVup0zGJiMwFlwnI6CwMj4OqitqAwrR45JzZgeLb1yCoSyBxdIV9pxfR8NmJFZ6v0ghYGB6Hza/30kfIREQmjckAGZXEjDycSMrSeo4i/iiy9v4Hdu2fg+uw+RBbN0DJw7tQ52VXeo1aI+BEUhaSMvPQxp3bDomIHsdkgIzK1rOpWrcPqvKyID+4Dg5dB8N10Kyy1209O1c5tkQswpY/U7F4hK/O4iUiMgesGSCjEnU9U+v2wfxLhyGUFMK599gaj63WCIhKyKxLeEREZol3Bsho5BepkFpFkV9R2hWIbR1RIk9D5q+fouR+CsQNHGHXrg8aBb4GsY32JkOpciUURSq2LiYiegzvDJDRSJErUFU7TFVeNgRVEe7vXgH7Dn3RZMJSOPUaDcWVKGSGLUZVDTU
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"output_type": "display_data"
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"source": [
|
|
|
|
|
"class Graph:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" def __init__(self, adj_list: dict = {}, name=\"Graph\", directed=False):\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" self.plt = plt\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" self.nx = nx\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" # validation\n",
|
|
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" tmp = []\n",
|
|
|
|
|
" for i in adj_list:\n",
|
|
|
|
|
" tmp.extend(adj_list[i])\n",
|
|
|
|
|
"\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if not directed and set(tmp) == set(adj_list.keys()):\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" 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",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def __str__(self):\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" string = \" \" + self.name + \"\\n\"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" for i in self.adj_list.keys():\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" string += (\n",
|
|
|
|
|
" str(i) + \" : [\" + \",\".join([str(j) for j in self.adj_list[i]]) + \"]\\n\"\n",
|
|
|
|
|
" )\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" return string\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
|
|
|
|
" def add_node(self, node):\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" if node not in self.adj_list.keys():\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" self.adj_list[node] = []\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" else:\n",
|
|
|
|
|
" print(f\"Warning : the node'{node}' already exists\")\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
|
|
|
|
" def add_edge(self, node1, node2):\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" graph = self.adj_list\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if node1 in graph and node2 in graph:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" graph[node1].append(node2)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if not self.directed:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" graph[node2].append(node1)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def get_nodeSet(self):\n",
|
|
|
|
|
" return list(self.adj_list.keys())\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def get_edgSet(self):\n",
|
|
|
|
|
" edgSet = []\n",
|
|
|
|
|
" for i in self.adj_list.keys():\n",
|
|
|
|
|
" for j in self.adj_list[i]:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" edgSet.append(tuple([i, j]))\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" return edgSet\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
|
|
|
|
" def dfs(self, node):\n",
|
|
|
|
|
" if node in self.adj_list.keys():\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" traverse = []\n",
|
|
|
|
|
" visited = set()\n",
|
|
|
|
|
" stack = [node]\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" while stack:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" current = stack.pop()\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if current not in visited:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" 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",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
|
|
|
|
" def bfs(self, node):\n",
|
|
|
|
|
" if node in self.adj_list.keys():\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" traverse = []\n",
|
|
|
|
|
" visited = set()\n",
|
|
|
|
|
" queue = [node]\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" while queue:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" current = queue.pop(0)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if current not in visited:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" visited.add(current)\n",
|
|
|
|
|
" traverse.append(current)\n",
|
|
|
|
|
" queue.extend(self.adj_list[current])\n",
|
|
|
|
|
" return traverse\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" else:\n",
|
|
|
|
|
" print(f\"Error : node'{node}' does not exist in graph\")\n",
|
|
|
|
|
"\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" def getPath(self, n1, n2, path=[]):\n",
|
|
|
|
|
" g = self.adj_list\n",
|
|
|
|
|
" path += [n1]\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" if n2 not in g[n1]:\n",
|
|
|
|
|
" for i in g[n1]:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if i not in path:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" path1 = self.getPath(i, n2, path.copy())\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if path1:\n",
|
|
|
|
|
" return path1\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" else:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" return path + [n2]\n",
|
|
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def opt_path(self, path):\n",
|
|
|
|
|
" g = self.adj_list\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" l = len(path)\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" path1 = path.copy()\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" t = 2\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" for i in range(l):\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" for j in range(i + 2, l):\n",
|
|
|
|
|
" if abs(j - i) > t:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" n1 = path[i]\n",
|
|
|
|
|
" n2 = path[j]\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" 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",
|
2024-06-21 06:30:38 +00:00
|
|
|
" return spath\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def display(self):\n",
|
|
|
|
|
" G = self.nx.Graph()\n",
|
|
|
|
|
" G.add_nodes_from(self.get_nodeSet())\n",
|
|
|
|
|
" G.add_edges_from(self.get_edgSet())\n",
|
|
|
|
|
" self.nx.draw_networkx(G)\n",
|
|
|
|
|
" self.plt.title(self.name)\n",
|
|
|
|
|
" self.plt.show()\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def makeTree(self, Root=None):\n",
|
|
|
|
|
" temp_ls = dict()\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if (Root == None) or (Root not in self.adj_list.keys()):\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" root = list(self.adj_list.keys())[0]\n",
|
|
|
|
|
" else:\n",
|
|
|
|
|
" root = Root\n",
|
|
|
|
|
" temp_ls[root] = [root]\n",
|
|
|
|
|
" stack = [root]\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" 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",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" visite(root)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" return temp_ls\n",
|
|
|
|
|
"\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
"adj_list = {\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" 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",
|
2024-06-21 06:30:38 +00:00
|
|
|
"}\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"g = Graph(adj_list, name=\"Demo\")\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
"g.display()\n",
|
|
|
|
|
"for i in adj_list:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" g1 = Graph(g.makeTree(Root=i), name=\"Demo tree_\" + str(i))\n",
|
|
|
|
|
" g1.display()"
|
2024-06-21 06:30:38 +00:00
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"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": null,
|
|
|
|
|
"id": "457ca038",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [],
|
|
|
|
|
"source": [
|
|
|
|
|
"print(g)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"g.add_edge(8, 10)\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
"print(g)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"print(g.sortestPath(8, 10))\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
"g.display()"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": null,
|
|
|
|
|
"id": "affba892",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [],
|
|
|
|
|
"source": []
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": 7,
|
|
|
|
|
"id": "9862c226",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [
|
|
|
|
|
{
|
|
|
|
|
"data": {
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"[1, 2, 2, 3, 4, 5, 1, 7, 9, 90, 23, 41]"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"execution_count": 7,
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"output_type": "execute_result"
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"source": [
|
|
|
|
|
"class Tree:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" def __init__(self, data, parent=None):\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" self.data = data\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" self.childs = []\n",
|
|
|
|
|
"\n",
|
|
|
|
|
" def addChild(self, *nodes):\n",
|
|
|
|
|
" childs = [Tree(i, parent=self) for i in nodes]\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" self.childs.extend(childs)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if len(childs) == 1:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" return childs[0]\n",
|
|
|
|
|
" return childs\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def getChilds(self):\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" return [i.data for i in self.childs]\n",
|
|
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def getElements(self):\n",
|
|
|
|
|
" elements = [self.data]\n",
|
|
|
|
|
" for i in self.childs:\n",
|
|
|
|
|
" elements.extend(i.getElements())\n",
|
|
|
|
|
" return elements\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def traverse(self, order=\"pre\"):\n",
|
|
|
|
|
" ls = []\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if order == \"pre\":\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ls.append(self.data)\n",
|
|
|
|
|
" for i in self.childs:\n",
|
|
|
|
|
" ls.extend(i.traverse(order=order))\n",
|
|
|
|
|
" return ls\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" elif order == \"post\":\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" for i in self.childs:\n",
|
|
|
|
|
" ls.extend(i.traverse(order=order))\n",
|
|
|
|
|
" ls.append(self.data)\n",
|
|
|
|
|
" return ls\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
|
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
"tree = Tree(1)\n",
|
|
|
|
|
"t2 = tree.addChild(2)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"t2t3 = t2.addChild(2, 3, 4, 5, 1, 7, 9)\n",
|
|
|
|
|
"tree.addChild(90, 23, 41)\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
"tree.getElements()\n",
|
|
|
|
|
"# tree.traverse()"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": 8,
|
|
|
|
|
"id": "102b3cb1",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [
|
|
|
|
|
{
|
|
|
|
|
"data": {
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"[2, 3, 4, 5, 1, 7, 9, 2, 90, 23, 41, 1]"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"execution_count": 8,
|
|
|
|
|
"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": 9,
|
|
|
|
|
"id": "99b975a8",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [],
|
|
|
|
|
"source": [
|
|
|
|
|
"class BTree:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" def __init__(self, data, parent=None):\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" self.data = data\n",
|
|
|
|
|
" self.left = None\n",
|
|
|
|
|
" self.right = None\n",
|
|
|
|
|
" self.parent = parent\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
|
|
|
|
" def getElement(self, idx):\n",
|
|
|
|
|
" path = []\n",
|
|
|
|
|
" while idx > 0:\n",
|
|
|
|
|
" if idx % 2 == 1:\n",
|
|
|
|
|
" path.append((idx % 2))\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" idx //= 2\n",
|
|
|
|
|
" else:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" path.append((idx % 2) + 2)\n",
|
|
|
|
|
" idx = idx // 2 - 1\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" temp = self\n",
|
|
|
|
|
" while path and temp:\n",
|
|
|
|
|
" dr = path.pop()\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if dr == 1:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" temp = temp.left\n",
|
|
|
|
|
" else:\n",
|
|
|
|
|
" temp = temp.right\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if temp:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" return temp\n",
|
|
|
|
|
" else:\n",
|
|
|
|
|
" print(\"id does not exists\")\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def getDepth(self):\n",
|
|
|
|
|
" ld = self.left.getDepth() if self.left else -1\n",
|
|
|
|
|
" rd = self.right.getDepth() if self.right else -1\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" return max(ld, rd) + 1\n",
|
|
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def isBalanced(self):\n",
|
|
|
|
|
" ld = self.left.getDepth() if self.left else -1\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" rd = self.right.getDepth() if self.right else -1\n",
|
|
|
|
|
" if abs(ld - rd) in [0, 1]:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" lb = self.left.isBalanced() if self.left else True\n",
|
|
|
|
|
" rb = self.right.isBalanced() if self.right else True\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" return bool(lb * rb)\n",
|
|
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def getParent(self):\n",
|
|
|
|
|
" return self.parent\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def getChilds(self):\n",
|
|
|
|
|
" return [self.left, self.right]\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def getId(self):\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if self.parent != None:\n",
|
|
|
|
|
" if self == self.parent.left:\n",
|
|
|
|
|
" return self.parent.getId() * 2 + 1\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" else:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" return self.parent.getId() * 2 + 2\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" else:\n",
|
|
|
|
|
" return 0\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
|
|
|
|
" def __setattr__(self, key, value):\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" self.__dict__[key] = value\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if value:\n",
|
|
|
|
|
" if key in [\"left\", \"right\"]:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" value.parent = self\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def getSize(self):\n",
|
|
|
|
|
" lsize = self.left.getSize() if self.left else 0\n",
|
|
|
|
|
" rsize = self.right.getSize() if self.right else 0\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" return lsize + 1 + rsize\n",
|
|
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def addData(self, data, idx=-1):\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" 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",
|
2024-06-21 06:30:38 +00:00
|
|
|
" break\n",
|
|
|
|
|
" else:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" q.append(temp.left)\n",
|
|
|
|
|
" if not temp.right:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" temp.right = BTree(data, parent=temp)\n",
|
|
|
|
|
" break\n",
|
|
|
|
|
" else:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" q.append(temp.right)\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" else:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" dr = idx % 2\n",
|
|
|
|
|
" if dr == 1:\n",
|
|
|
|
|
" ele = self.getElement(idx // 2)\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ele.left = BTree(data, parent=ele)\n",
|
|
|
|
|
" else:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" ele = self.getElement(idx // 2 - 1)\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ele.right = BTree(data, parent=ele)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def addNode(self, node, idx=-1):\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" 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",
|
2024-06-21 06:30:38 +00:00
|
|
|
" break\n",
|
|
|
|
|
" else:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" q.append(temp.left)\n",
|
|
|
|
|
" if not temp.right:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" temp.right = node\n",
|
|
|
|
|
" break\n",
|
|
|
|
|
" else:\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" q.append(temp.right)\n",
|
|
|
|
|
"\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" def traverse(self, order=\"pre\"):\n",
|
|
|
|
|
" ls = []\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if order == \"pre\":\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ls.append(self.data)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if self.left:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ls.extend(self.left.traverse(order))\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if self.right:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ls.extend(self.right.traverse(order))\n",
|
|
|
|
|
" return ls\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" elif order == \"post\":\n",
|
|
|
|
|
" if self.left:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ls.extend(self.left.traverse(order))\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if self.right:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ls.extend(self.right.traverse(order))\n",
|
|
|
|
|
" ls.append(self.data)\n",
|
|
|
|
|
" return ls\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" elif order == \"in\":\n",
|
|
|
|
|
" if self.left:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ls.extend(self.left.traverse(order))\n",
|
|
|
|
|
" ls.append(self.data)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
" if self.right:\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
" ls.extend(self.right.traverse(order))\n",
|
|
|
|
|
" return ls"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": 10,
|
|
|
|
|
"id": "9a28bb90",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [
|
|
|
|
|
{
|
|
|
|
|
"data": {
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"[3, 4, 1, 5, 2, 0]"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"execution_count": 10,
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"output_type": "execute_result"
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"source": [
|
|
|
|
|
"bt = BTree(0)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"bt.left = BTree(1)\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
"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": 11,
|
|
|
|
|
"id": "af6dc0c6",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [
|
|
|
|
|
{
|
|
|
|
|
"data": {
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"[9, 8, 17, 5, 11, 3, 4, 6, 14]"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"execution_count": 11,
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"output_type": "execute_result"
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"source": [
|
|
|
|
|
"btr = BTree(3)\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"ls = [5, 6, 8, 11, 4, 14, 9, 17]\n",
|
2024-06-21 06:30:38 +00:00
|
|
|
"for i in ls:\n",
|
|
|
|
|
" btr.addData(i)\n",
|
|
|
|
|
"btr.traverse(order=\"in\")\n",
|
|
|
|
|
"# btr.getElement(5).getId()"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": 12,
|
|
|
|
|
"id": "d77046ab",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [
|
|
|
|
|
{
|
|
|
|
|
"data": {
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"[3, 50, 6, 4, 14]"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"execution_count": 12,
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"output_type": "execute_result"
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"source": [
|
|
|
|
|
"btr.addData(50, idx=1)\n",
|
|
|
|
|
"btr.traverse()"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": 13,
|
|
|
|
|
"id": "aa1c5c64",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [
|
|
|
|
|
{
|
|
|
|
|
"data": {
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"3"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"execution_count": 13,
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"output_type": "execute_result"
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"source": [
|
|
|
|
|
"btr.data"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": 14,
|
|
|
|
|
"id": "26662a5c",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [
|
|
|
|
|
{
|
|
|
|
|
"data": {
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"(6, 5)"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"execution_count": 14,
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"output_type": "execute_result"
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"source": [
|
|
|
|
|
"btr.getElement(1).getId()\n",
|
|
|
|
|
"\n",
|
|
|
|
|
"\n",
|
2024-11-20 17:47:23 +00:00
|
|
|
"bt.getSize(), btr.getSize()"
|
2024-06-21 06:30:38 +00:00
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": 15,
|
|
|
|
|
"id": "83acc37e",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [
|
|
|
|
|
{
|
|
|
|
|
"data": {
|
|
|
|
|
"text/plain": [
|
|
|
|
|
"[3, 50, 6, 4, 14]"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
"execution_count": 15,
|
|
|
|
|
"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": "57ddb47c",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [],
|
|
|
|
|
"source": []
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": null,
|
|
|
|
|
"id": "9bcd3416",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [],
|
|
|
|
|
"source": []
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": null,
|
|
|
|
|
"id": "7f5772c1",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [],
|
|
|
|
|
"source": []
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": null,
|
|
|
|
|
"id": "d664751a",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [],
|
|
|
|
|
"source": []
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": null,
|
|
|
|
|
"id": "1b77949f",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [],
|
|
|
|
|
"source": []
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"metadata": {
|
|
|
|
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"kernelspec": {
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"display_name": "Python 3 (ipykernel)",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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2024-11-20 17:22:43 +00:00
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"version": "3.12.3"
|
2024-06-21 06:30:38 +00:00
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}
|
