feat: ✨ Backup notebook
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84D3DF1528A84511
464
graphs.ipynb
464
graphs.ipynb
@ -6,12 +6,14 @@
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"metadata": {
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"end_time": "2024-12-14T12:23:31.698030Z",
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}
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},
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"source": [
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"import queue\n",
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"from readline import get_current_history_length\n",
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"from urllib.response import addinfourl\n",
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"\n",
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"# -*- coding: utf-8 -*-\n",
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"\"\"\"Graph module.\n",
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@ -227,13 +229,13 @@
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" fout.close()\n"
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],
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"outputs": [],
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"execution_count": 1
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"execution_count": 2
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},
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{
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@ -245,8 +247,8 @@
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@ -299,7 +301,7 @@
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],
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"id": "663b49e4f6763d11",
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"outputs": [],
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"execution_count": 3
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},
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{
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"metadata": {},
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@ -310,8 +312,8 @@
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{
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"end_time": "2024-12-15T13:34:20.816394Z",
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"cell_type": "code",
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@ -331,13 +333,13 @@
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],
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"id": "ca54f5a3f1a225b",
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"outputs": [],
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"execution_count": 3
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"execution_count": 4
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},
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{
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"metadata": {
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}
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},
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"cell_type": "code",
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@ -358,7 +360,7 @@
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]
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}
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],
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"execution_count": 4
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"execution_count": 5
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},
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{
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"metadata": {},
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@ -369,8 +371,8 @@
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2024-12-14T12:23:31.886996Z",
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"end_time": "2024-12-15T13:34:21.765995Z",
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"cell_type": "code",
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@ -388,7 +390,7 @@
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],
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"id": "6920c423c0bdfc24",
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"outputs": [],
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"execution_count": 5
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"execution_count": 6
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},
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{
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"metadata": {},
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@ -399,8 +401,8 @@
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{
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"metadata": {
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"end_time": "2024-12-15T13:34:22.368505Z",
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}
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},
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"cell_type": "code",
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@ -421,12 +423,12 @@
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"[4, 1, 5, 1, 3, 3, 4, 4, 3, 1]"
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]
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},
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"execution_count": 6,
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"execution_count": 7,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"execution_count": 6
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"execution_count": 7
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},
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{
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"metadata": {
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@ -1046,6 +1048,426 @@
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}
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],
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"execution_count": 24
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},
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{
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"metadata": {},
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"cell_type": "markdown",
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"source": "# 2024 - Exercise 3",
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"id": "fc95daf0e8cb39e6"
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2024-12-15T13:34:27.890752Z",
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"start_time": "2024-12-15T13:34:27.886850Z"
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}
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},
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"cell_type": "code",
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"source": [
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"# Reconstitution du graph du partiel\n",
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"# Initialisation d'un graphe non orienté avec 10 sommets\n",
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"G = Graph(order=12, directed=True)\n",
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"\n",
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"# Ajout des arêtes selon l'image fournie\n",
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"G.addedge(0, 1)\n",
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"G.addedge(0, 2)\n",
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"G.addedge(0, 3)\n",
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"G.addedge(0, 6)\n",
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"G.addedge(1, 4)\n",
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"G.addedge(2,4)\n",
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"G.addedge(2, 5)\n",
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"G.addedge(11, 5)\n",
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"G.addedge(3, 6)\n",
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"G.addedge(4, 7)\n",
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"G.addedge(5, 8)\n",
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"G.addedge(6, 9)\n",
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"G.addedge(7, 10)\n",
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"G.addedge(8, 7)\n",
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"G.addedge(8,10)\n",
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"G.addedge(9, 8)\n",
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"G.addedge(9, 10)\n",
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"\n",
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"# Tri des listes d'adjacence pour une sortie cohérente\n",
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"sortgraph(G)\n",
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"\n",
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"# Affichage du graphe au format DOT (si tu as graphviz configuré)\n",
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"print(dot(G))\n",
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"\n",
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"# Affichage visuel dans Jupyter Notebook (optionnel)\n",
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"# display(G, eng=\"neato\") # Utilise l'option \"neato\" pour une disposition automatique"
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],
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"id": "9fa8bd36f36fbdde",
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"digraph {\n",
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" 0\n",
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"0 -> 1\n",
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"0 -> 2\n",
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"0 -> 3\n",
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"0 -> 6\n",
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" 1\n",
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"1 -> 4\n",
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" 2\n",
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"2 -> 4\n",
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"2 -> 5\n",
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" 3\n",
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"3 -> 6\n",
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" 4\n",
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"4 -> 7\n",
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" 5\n",
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"5 -> 8\n",
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" 6\n",
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"6 -> 9\n",
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" 7\n",
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"7 -> 10\n",
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" 8\n",
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"8 -> 7\n",
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"8 -> 10\n",
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" 9\n",
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"9 -> 8\n",
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"9 -> 10\n",
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" 10\n",
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" 11\n",
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"11 -> 5\n",
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"}\n"
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]
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}
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],
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"execution_count": 8
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2024-12-15T13:49:16.391524Z",
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"start_time": "2024-12-15T13:49:16.385573Z"
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}
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},
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"cell_type": "code",
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"source": [
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"def __dist_range(G, M, src):\n",
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" cur = Queue()\n",
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" cur.enqueue(src)\n",
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" d = 0\n",
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" while not cur.isempty():\n",
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" x = cur.dequeue()\n",
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" if M[x] > d:\n",
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" d += 1\n",
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" for adj in G.adjlists[x]:\n",
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" if M[adj] == None:\n",
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" M[adj] = M[x] + 1\n",
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" cur.enqueue(adj)\n",
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"def dist_ragen(G, src, dmin, dmax):\n",
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" M = [None] * G.order\n",
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" result = []\n",
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" M[src] = 0\n",
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" __dist_range(G, M, src)\n",
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" for i in range(len(M)):\n",
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" if (M[i] != None) and dmin <= M[i] <= dmax:\n",
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" result.append(i)\n",
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" return result\n",
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"\n",
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"dist_ragen(G, 0, 2, 3)"
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],
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"id": "40afbf22ad096b78",
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"outputs": [
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{
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"data": {
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"text/plain": [
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"[4, 5, 7, 8, 9, 10]"
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]
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},
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"execution_count": 28,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"execution_count": 28
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2024-12-15T13:47:27.002306Z",
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"start_time": "2024-12-15T13:47:26.997672Z"
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}
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},
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"cell_type": "code",
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"source": [
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"def amaurypasbo(G, src, dmin, dmax):\n",
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" q = Queue()\n",
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" q.enqueue(src)\n",
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" L = []\n",
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" dist = [None] * G.order\n",
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" dist[src] = 0\n",
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" while not q.isempty():\n",
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" x = q.dequeue()\n",
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" if dist[x] >= dmin:\n",
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" L.append(x)\n",
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" if dist[x] < dmax:\n",
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" for y in G.adjlists[x]:\n",
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" if dist[y] is None:\n",
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" dist[y] = dist[x] + 1\n",
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" q.enqueue(y)\n",
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" return L\n",
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"amaurypasbo(G, 0, 2, 3)"
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],
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"id": "6d6b88841d1c89e",
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"outputs": [
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{
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"data": {
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"text/plain": [
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"[4, 5, 9, 7, 8, 10]"
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]
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},
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"execution_count": 27,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"execution_count": 27
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2024-12-15T13:50:09.757608Z",
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"start_time": "2024-12-15T13:50:09.754120Z"
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}
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},
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"cell_type": "code",
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"source": [
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"import time\n",
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"start = time.time()\n",
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"dist_ragen(G, 0, 2, 3)\n",
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"end = time.time()\n",
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"print(f\"Elapsed time for Louis: {end-start}ms\")\n",
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"\n",
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"start = time.time()\n",
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"amaurypasbo(G, 0, 2, 3)\n",
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"end = time.time()\n",
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"print(f\"Elapsed time for Amaury pas bô: {end-start}ms\")"
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],
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"id": "29ee33a593dd1896",
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Elapsed time for Louis: 5.5789947509765625e-05ms\n",
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"Elapsed time for Amaury pas bô: 4.100799560546875e-05ms\n"
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]
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}
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],
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"execution_count": 29
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},
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{
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"metadata": {},
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"cell_type": "markdown",
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"source": "# 2024 - Exercise 4",
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"id": "5c9033d8eb1154a5"
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},
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{
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"metadata": {
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"ExecuteTime": {
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||||
"end_time": "2024-12-15T14:03:30.413537Z",
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"start_time": "2024-12-15T14:03:30.410183Z"
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}
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},
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"cell_type": "code",
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"source": [
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"# Reconstitution du graph du partiel\n",
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"# Initialisation d'un graphe non orienté avec 10 sommets\n",
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"G = Graph(order=10, directed=False)\n",
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"\n",
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"# Ajout des arêtes selon l'image fournie\n",
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"G.addedge(0, 1)\n",
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"G.addedge(0, 8)\n",
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"G.addedge(1,3)\n",
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"G.addedge(1,2)\n",
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"G.addedge(2,3)\n",
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"G.addedge(2,8)\n",
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"G.addedge(8,6)\n",
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"G.addedge(8,9)\n",
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"G.addedge(3,4)\n",
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"G.addedge(3,5)\n",
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"G.addedge(3,6)\n",
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"G.addedge(6,9)\n",
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"G.addedge(9,7)\n",
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"G.addedge(4,5)\n",
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"G.addedge(5,7)\n",
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"\n",
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"# Tri des listes d'adjacence pour une sortie cohérente\n",
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"sortgraph(G)\n",
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"\n",
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"# Affichage du graphe au format DOT (si tu as graphviz configuré)\n",
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"print(dot(G))\n",
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"\n",
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"# Affichage visuel dans Jupyter Notebook (optionnel)\n",
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"# display(G, eng=\"neato\") # Utilise l'option \"neato\" pour une disposition automatique"
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],
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"id": "5cb5a950e355b0e2",
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"graph {\n",
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" 0\n",
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"0 -- 1\n",
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"0 -- 8\n",
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" 1\n",
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"1 -- 2\n",
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"1 -- 3\n",
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" 2\n",
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"2 -- 3\n",
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"2 -- 8\n",
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" 3\n",
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"3 -- 4\n",
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"3 -- 5\n",
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"3 -- 6\n",
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" 4\n",
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"4 -- 5\n",
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" 5\n",
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"5 -- 7\n",
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" 6\n",
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"6 -- 8\n",
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"6 -- 9\n",
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" 7\n",
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"7 -- 9\n",
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" 8\n",
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"8 -- 9\n",
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" 9\n",
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"}\n"
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]
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}
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],
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"execution_count": 30
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2024-12-15T14:36:40.935741Z",
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"start_time": "2024-12-15T14:36:40.929196Z"
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}
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},
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"cell_type": "code",
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"source": [
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"def __get_cycle(G, x, parent):\n",
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" for y in G.adjlists [x]:\n",
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" if parent[y] == None:\n",
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" parent [y] = x\n",
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" get = __get_cycle(G, y, parent)\n",
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" if get != None:\n",
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" return get\n",
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" else:\n",
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" if y != parent [x]:\n",
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" return (x, y)\n",
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" return None\n",
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"\n",
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"def get_cycle(G):\n",
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" parent = [None] * G. order\n",
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" s = 0\n",
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" get = None\n",
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" while s < G.order and get == None:\n",
|
||||
" if parent[s] == None:\n",
|
||||
" parent[s] = -1\n",
|
||||
" get = __get_cycle(G, s, parent)\n",
|
||||
" s += 1\n",
|
||||
" L = []\n",
|
||||
" if get != None:\n",
|
||||
" (x, y) = get\n",
|
||||
" L = [x]\n",
|
||||
" while x != y:\n",
|
||||
" x = parent[x]\n",
|
||||
" L.append(x)\n",
|
||||
" L.append(L[0])\n",
|
||||
" return L\n",
|
||||
"\n",
|
||||
"get_cycle(G)"
|
||||
],
|
||||
"id": "d1736b826cb4a92",
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"[3, 2, 1, 3]"
|
||||
]
|
||||
},
|
||||
"execution_count": 53,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"execution_count": 53
|
||||
},
|
||||
{
|
||||
"metadata": {
|
||||
"ExecuteTime": {
|
||||
"end_time": "2024-12-15T14:14:21.270509Z",
|
||||
"start_time": "2024-12-15T14:14:21.263983Z"
|
||||
}
|
||||
},
|
||||
"cell_type": "code",
|
||||
"source": [
|
||||
"def __amaurycycle(G, src, M, L, P):\n",
|
||||
" for y in G.adjlists[src]:\n",
|
||||
" if M[y] == True and P[y] != src:\n",
|
||||
" L.append(y)\n",
|
||||
" return True\n",
|
||||
" else:\n",
|
||||
" L.append(y)\n",
|
||||
" M[y] = True\n",
|
||||
" P[y] = src\n",
|
||||
" if __amaurycycle(G, y, M, L, P):\n",
|
||||
" return True\n",
|
||||
" return False\n",
|
||||
"\n",
|
||||
"def amaurycycle(G):\n",
|
||||
" M = [False] * G.order\n",
|
||||
" P = [None] * G.order\n",
|
||||
" L = []\n",
|
||||
" for x in range(G.order):\n",
|
||||
" print(x)\n",
|
||||
" if not M[x]:\n",
|
||||
" M[x] = True\n",
|
||||
"\n",
|
||||
" if __amaurycycle(G, x, M, L, P):\n",
|
||||
" return L\n",
|
||||
" L = []\n",
|
||||
" return L\n",
|
||||
"\n",
|
||||
"amaurycycle(G)\n"
|
||||
],
|
||||
"id": "1ba0708151f432e2",
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"0\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"[1, 0]"
|
||||
]
|
||||
},
|
||||
"execution_count": 47,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"execution_count": 47
|
||||
},
|
||||
{
|
||||
"metadata": {},
|
||||
"cell_type": "code",
|
||||
"outputs": [],
|
||||
"execution_count": null,
|
||||
"source": "",
|
||||
"id": "d17cd6bd32656bbd"
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user