feat: Push notebook

This commit is contained in:
Louis Gallet 2024-12-14 12:16:58 +01:00
parent e403f9e88e
commit 7be0ae6313
Signed by: lgallet
GPG Key ID: 84D3DF1528A84511
8 changed files with 292 additions and 129 deletions

8
.idea/.gitignore generated vendored
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@ -1,8 +0,0 @@
# Default ignored files
/shelf/
/workspace.xml
# Editor-based HTTP Client requests
/httpRequests/
# Datasource local storage ignored files
/dataSources/
/dataSources.local.xml

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@ -1,6 +0,0 @@
<component name="InspectionProjectProfileManager">
<settings>
<option name="USE_PROJECT_PROFILE" value="false" />
<version value="1.0" />
</settings>
</component>

6
.idea/misc.xml generated
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@ -1,6 +0,0 @@
<?xml version="1.0" encoding="UTF-8"?>
<project version="4">
<component name="Black">
<option name="sdkName" value="Python 3.12 (test)" />
</component>
</project>

8
.idea/modules.xml generated
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@ -1,8 +0,0 @@
<?xml version="1.0" encoding="UTF-8"?>
<project version="4">
<component name="ProjectModuleManager">
<modules>
<module fileurl="file://$PROJECT_DIR$/.idea/test.iml" filepath="$PROJECT_DIR$/.idea/test.iml" />
</modules>
</component>
</project>

10
.idea/test.iml generated
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@ -1,10 +0,0 @@
<?xml version="1.0" encoding="UTF-8"?>
<module type="PYTHON_MODULE" version="4">
<component name="NewModuleRootManager">
<content url="file://$MODULE_DIR$">
<excludeFolder url="file://$MODULE_DIR$/.venv" />
</content>
<orderEntry type="jdk" jdkName="Python 3.12 (test)" jdkType="Python SDK" />
<orderEntry type="sourceFolder" forTests="false" />
</component>
</module>

6
.idea/vcs.xml generated
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@ -1,6 +0,0 @@
<?xml version="1.0" encoding="UTF-8"?>
<project version="4">
<component name="VcsDirectoryMappings">
<mapping directory="$PROJECT_DIR$" vcs="Git" />
</component>
</project>

3
README.md Normal file
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@ -0,0 +1,3 @@
Click on the button bellow to launch this notebook
[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/git/https%3A%2F%2Fgitea.louisgallet.fr%2FEPITA-ALGO%2Fnotebook-revision-finals.git/master?labpath=graphs.ipynb)

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@ -6,8 +6,8 @@
"metadata": { "metadata": {
"collapsed": true, "collapsed": true,
"ExecuteTime": { "ExecuteTime": {
"end_time": "2024-12-02T17:41:32.959657Z", "end_time": "2024-12-14T10:54:32.699159Z",
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} }
}, },
"source": [ "source": [
@ -227,13 +227,13 @@
" fout.close()\n" " fout.close()\n"
], ],
"outputs": [], "outputs": [],
"execution_count": 2 "execution_count": 3
}, },
{ {
"metadata": { "metadata": {
"ExecuteTime": { "ExecuteTime": {
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} }
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"cell_type": "code", "cell_type": "code",
@ -380,13 +380,13 @@
], ],
"id": "e12f5903c5348752", "id": "e12f5903c5348752",
"outputs": [], "outputs": [],
"execution_count": 3 "execution_count": 4
}, },
{ {
"metadata": { "metadata": {
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} }
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"cell_type": "code", "cell_type": "code",
@ -439,7 +439,7 @@
], ],
"id": "663b49e4f6763d11", "id": "663b49e4f6763d11",
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"execution_count": 37 "execution_count": 5
}, },
{ {
"metadata": {}, "metadata": {},
@ -450,8 +450,8 @@
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} }
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@ -471,13 +471,13 @@
], ],
"id": "ca54f5a3f1a225b", "id": "ca54f5a3f1a225b",
"outputs": [], "outputs": [],
"execution_count": 9 "execution_count": 6
}, },
{ {
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} }
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"cell_type": "code", "cell_type": "code",
@ -498,7 +498,7 @@
] ]
} }
], ],
"execution_count": 16 "execution_count": 7
}, },
{ {
"metadata": {}, "metadata": {},
@ -509,8 +509,8 @@
{ {
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} }
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"cell_type": "code", "cell_type": "code",
@ -528,7 +528,7 @@
], ],
"id": "6920c423c0bdfc24", "id": "6920c423c0bdfc24",
"outputs": [], "outputs": [],
"execution_count": 22 "execution_count": 8
}, },
{ {
"metadata": {}, "metadata": {},
@ -539,8 +539,8 @@
{ {
"metadata": { "metadata": {
"ExecuteTime": { "ExecuteTime": {
"end_time": "2024-12-02T17:56:13.875386Z", "end_time": "2024-12-09T14:48:04.596974Z",
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} }
}, },
"cell_type": "code", "cell_type": "code",
@ -561,18 +561,18 @@
"[4, 1, 5, 1, 3, 3, 4, 4, 3, 1]" "[4, 1, 5, 1, 3, 3, 4, 4, 3, 1]"
] ]
}, },
"execution_count": 21, "execution_count": 8,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
], ],
"execution_count": 21 "execution_count": 8
}, },
{ {
"metadata": { "metadata": {
"ExecuteTime": { "ExecuteTime": {
"end_time": "2024-12-02T18:17:29.691716Z", "end_time": "2024-12-09T14:48:05.120730Z",
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} }
}, },
"cell_type": "code", "cell_type": "code",
@ -596,12 +596,12 @@
"[[3, 4, 1, 2, 3, 2, 3, 0, 2], [6, 1, 1, 2, 0, 3, 2, 3, 2]]" "[[3, 4, 1, 2, 3, 2, 3, 0, 2], [6, 1, 1, 2, 0, 3, 2, 3, 2]]"
] ]
}, },
"execution_count": 24, "execution_count": 9,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
], ],
"execution_count": 24 "execution_count": 9
}, },
{ {
"metadata": {}, "metadata": {},
@ -612,8 +612,8 @@
{ {
"metadata": { "metadata": {
"ExecuteTime": { "ExecuteTime": {
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} }
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"cell_type": "code", "cell_type": "code",
@ -696,7 +696,7 @@
] ]
} }
], ],
"execution_count": 31 "execution_count": 10
}, },
{ {
"metadata": {}, "metadata": {},
@ -707,8 +707,8 @@
{ {
"metadata": { "metadata": {
"ExecuteTime": { "ExecuteTime": {
"end_time": "2024-12-02T18:44:59.949967Z", "end_time": "2024-12-14T10:59:44.343779Z",
"start_time": "2024-12-02T18:44:59.927772Z" "start_time": "2024-12-14T10:59:44.337510Z"
} }
}, },
"cell_type": "code", "cell_type": "code",
@ -719,20 +719,20 @@
" M[src] = True\n", " M[src] = True\n",
" while not cur.isempty():\n", " while not cur.isempty():\n",
" x = cur.dequeue()\n", " x = cur.dequeue()\n",
" print(x, end= \"\")\n", " print(x, end=\" \")\n",
" for adj in range(G.order):\n", " for adj in G.adjlists[x]:\n",
" if G.adjlists[x][adj] and not M[adj]:\n", " if not M[adj]:\n",
" cur.enqueue(adj)\n",
" M[adj] = True\n", " M[adj] = True\n",
" cur.enqueue(adj)\n",
"\n", "\n",
"def bfs(G):\n", "\n",
" M = [False] * G.order\n", "def dfs(G):\n",
" M = [False]*G.order\n",
" for src in range(G.order):\n", " for src in range(G.order):\n",
" if not M[src]:\n", " if not M[src]:\n",
" aux(G, M, src)\n", " aux(G, M, src)\n",
" print()\n", " print()\n",
"\n", "BFS(G)"
"bfs(G)"
], ],
"id": "b8bf6413a1d63515", "id": "b8bf6413a1d63515",
"outputs": [ "outputs": [
@ -740,24 +740,12 @@
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"0" "0 4 1 3 9 \n",
] "2 6 5 7 8 \n"
},
{
"ename": "IndexError",
"evalue": "list index out of range",
"output_type": "error",
"traceback": [
"\u001B[0;31m---------------------------------------------------------------------------\u001B[0m",
"\u001B[0;31mIndexError\u001B[0m Traceback (most recent call last)",
"Cell \u001B[0;32mIn[40], line 20\u001B[0m\n\u001B[1;32m 17\u001B[0m aux(G, M, src)\n\u001B[1;32m 18\u001B[0m \u001B[38;5;28mprint\u001B[39m()\n\u001B[0;32m---> 20\u001B[0m \u001B[43mbfs\u001B[49m\u001B[43m(\u001B[49m\u001B[43mG\u001B[49m\u001B[43m)\u001B[49m\n",
"Cell \u001B[0;32mIn[40], line 17\u001B[0m, in \u001B[0;36mbfs\u001B[0;34m(G)\u001B[0m\n\u001B[1;32m 15\u001B[0m \u001B[38;5;28;01mfor\u001B[39;00m src \u001B[38;5;129;01min\u001B[39;00m \u001B[38;5;28mrange\u001B[39m(G\u001B[38;5;241m.\u001B[39morder):\n\u001B[1;32m 16\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m \u001B[38;5;129;01mnot\u001B[39;00m M[src]:\n\u001B[0;32m---> 17\u001B[0m \u001B[43maux\u001B[49m\u001B[43m(\u001B[49m\u001B[43mG\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mM\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43msrc\u001B[49m\u001B[43m)\u001B[49m\n\u001B[1;32m 18\u001B[0m \u001B[38;5;28mprint\u001B[39m()\n",
"Cell \u001B[0;32mIn[40], line 9\u001B[0m, in \u001B[0;36maux\u001B[0;34m(G, M, src)\u001B[0m\n\u001B[1;32m 7\u001B[0m \u001B[38;5;28mprint\u001B[39m(x, end\u001B[38;5;241m=\u001B[39m \u001B[38;5;124m\"\u001B[39m\u001B[38;5;124m\"\u001B[39m)\n\u001B[1;32m 8\u001B[0m \u001B[38;5;28;01mfor\u001B[39;00m adj \u001B[38;5;129;01min\u001B[39;00m \u001B[38;5;28mrange\u001B[39m(G\u001B[38;5;241m.\u001B[39morder):\n\u001B[0;32m----> 9\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m \u001B[43mG\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43madjlists\u001B[49m\u001B[43m[\u001B[49m\u001B[43mx\u001B[49m\u001B[43m]\u001B[49m\u001B[43m[\u001B[49m\u001B[43madj\u001B[49m\u001B[43m]\u001B[49m \u001B[38;5;129;01mand\u001B[39;00m \u001B[38;5;129;01mnot\u001B[39;00m M[adj]:\n\u001B[1;32m 10\u001B[0m cur\u001B[38;5;241m.\u001B[39menqueue(adj)\n\u001B[1;32m 11\u001B[0m M[adj] \u001B[38;5;241m=\u001B[39m \u001B[38;5;28;01mTrue\u001B[39;00m\n",
"\u001B[0;31mIndexError\u001B[0m: list index out of range"
] ]
} }
], ],
"execution_count": 40 "execution_count": 20
}, },
{ {
"metadata": {}, "metadata": {},
@ -768,28 +756,26 @@
{ {
"metadata": { "metadata": {
"ExecuteTime": { "ExecuteTime": {
"end_time": "2024-12-02T18:41:49.173387Z", "end_time": "2024-12-14T11:01:46.103932Z",
"start_time": "2024-12-02T18:41:49.149806Z" "start_time": "2024-12-14T11:01:46.101045Z"
} }
}, },
"cell_type": "code", "cell_type": "code",
"source": [ "source": [
"def aux(G, M, src):\n", "def auxDFS(G, M, src):\n",
" M[src] = True\n", " M[src] = True\n",
" print(src)\n", " print(src, end=\" \")\n",
" for i in range(G.order):\n", " for adj in G.adjlists[src]:\n",
" if G.adjlists[src][i] and not M[i]:\n", " if not M[adj]:\n",
" aux(G, M, i)\n", " auxDFS(G, M, adj)\n",
"\n",
"\n", "\n",
"def DFS(G):\n", "def DFS(G):\n",
" M = [False]*G.order\n", " M = [False] * G.order\n",
" for element in range(G.order):\n", " for src in range(G.order):\n",
" if not M[element]:\n", " if not M[src]:\n",
" aux(G, M, element)\n", " aux(G, M, src)\n",
" print()\n", " print()\n",
"\n", "DFS(G)"
"dfs(G)"
], ],
"id": "507b403020a6f941", "id": "507b403020a6f941",
"outputs": [ "outputs": [
@ -797,26 +783,244 @@
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"0\n", "0 4 1 3 9 \n",
"1\n" "2 6 5 7 8 \n"
]
},
{
"ename": "IndexError",
"evalue": "list index out of range",
"output_type": "error",
"traceback": [
"\u001B[0;31m---------------------------------------------------------------------------\u001B[0m",
"\u001B[0;31mIndexError\u001B[0m Traceback (most recent call last)",
"Cell \u001B[0;32mIn[36], line 16\u001B[0m\n\u001B[1;32m 13\u001B[0m aux(G, M, element)\n\u001B[1;32m 14\u001B[0m \u001B[38;5;28mprint\u001B[39m()\n\u001B[0;32m---> 16\u001B[0m \u001B[43mdfs\u001B[49m\u001B[43m(\u001B[49m\u001B[43mG\u001B[49m\u001B[43m)\u001B[49m\n",
"Cell \u001B[0;32mIn[34], line 12\u001B[0m, in \u001B[0;36mdfs\u001B[0;34m(G)\u001B[0m\n\u001B[1;32m 10\u001B[0m \u001B[38;5;28;01mfor\u001B[39;00m src \u001B[38;5;129;01min\u001B[39;00m \u001B[38;5;28mrange\u001B[39m(G\u001B[38;5;241m.\u001B[39morder):\n\u001B[1;32m 11\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m \u001B[38;5;129;01mnot\u001B[39;00m M[src]:\n\u001B[0;32m---> 12\u001B[0m \u001B[43maux\u001B[49m\u001B[43m(\u001B[49m\u001B[43mG\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mM\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43msrc\u001B[49m\u001B[43m)\u001B[49m\n\u001B[1;32m 13\u001B[0m \u001B[38;5;28mprint\u001B[39m()\n",
"Cell \u001B[0;32mIn[36], line 6\u001B[0m, in \u001B[0;36maux\u001B[0;34m(G, M, src)\u001B[0m\n\u001B[1;32m 4\u001B[0m \u001B[38;5;28;01mfor\u001B[39;00m i \u001B[38;5;129;01min\u001B[39;00m \u001B[38;5;28mrange\u001B[39m(G\u001B[38;5;241m.\u001B[39morder):\n\u001B[1;32m 5\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m G\u001B[38;5;241m.\u001B[39madjlists[src][i] \u001B[38;5;129;01mand\u001B[39;00m \u001B[38;5;129;01mnot\u001B[39;00m M[i]:\n\u001B[0;32m----> 6\u001B[0m \u001B[43maux\u001B[49m\u001B[43m(\u001B[49m\u001B[43mG\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mM\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mi\u001B[49m\u001B[43m)\u001B[49m\n",
"Cell \u001B[0;32mIn[36], line 5\u001B[0m, in \u001B[0;36maux\u001B[0;34m(G, M, src)\u001B[0m\n\u001B[1;32m 3\u001B[0m \u001B[38;5;28mprint\u001B[39m(src)\n\u001B[1;32m 4\u001B[0m \u001B[38;5;28;01mfor\u001B[39;00m i \u001B[38;5;129;01min\u001B[39;00m \u001B[38;5;28mrange\u001B[39m(G\u001B[38;5;241m.\u001B[39morder):\n\u001B[0;32m----> 5\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m \u001B[43mG\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43madjlists\u001B[49m\u001B[43m[\u001B[49m\u001B[43msrc\u001B[49m\u001B[43m]\u001B[49m\u001B[43m[\u001B[49m\u001B[43mi\u001B[49m\u001B[43m]\u001B[49m \u001B[38;5;129;01mand\u001B[39;00m \u001B[38;5;129;01mnot\u001B[39;00m M[i]:\n\u001B[1;32m 6\u001B[0m aux(G, M, i)\n",
"\u001B[0;31mIndexError\u001B[0m: list index out of range"
] ]
} }
], ],
"execution_count": 36 "execution_count": 23
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Exercise 3.1 (Connect)",
"id": "a30c671c43131bb2"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-12-09T15:03:14.627181Z",
"start_time": "2024-12-09T15:03:14.622512Z"
}
},
"cell_type": "code",
"source": [
"def __components(G, M, src, nbComponents):\n",
" M[src] = nbComponents\n",
" for adj in G.adjlists[src]:\n",
" if not M[adj]:\n",
" M[adj] = nbComponents\n",
" __components(G, M, adj, nbComponents)\n",
"\n",
"def components(G):\n",
" M = [False] * G.order\n",
" nbComponents = 0\n",
" for src in range(G.order):\n",
" if not M[src]:\n",
" nbComponents += 1\n",
" __components(G, M, src, nbComponents)\n",
" return (nbComponents, M)\n",
"\n",
"components(G)\n"
],
"id": "b8b8a6ec16fc88a5",
"outputs": [
{
"data": {
"text/plain": [
"(2, [1, 1, 2, 1, 1, 2, 2, 2, 2, 1])"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"execution_count": 16
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Exercise 3.2 (That's the way)",
"id": "dae9cdccb36ac9d5"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-12-09T15:09:02.024738Z",
"start_time": "2024-12-09T15:09:02.020400Z"
}
},
"cell_type": "code",
"source": [
"def __path(G, src, dst, M, path):\n",
" M[src] = True\n",
" for adj in G.adjlists[src]:\n",
" if not M[src]:\n",
" if adj == dst or __path(G, src, dst, M, path):\n",
" path.append(adj)\n",
" return True\n",
" return False\n",
"\n",
"def path(G, src, dst):\n",
" M = [False] * G.order\n",
" path = []\n",
" if __path(G, src, dst, M, path):\n",
" path.append(src)\n",
" path.reverse()\n",
" return path\n",
"\n",
"path(G, 0, 9)"
],
"id": "67b1808a9c9996e1",
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"execution_count": 26
},
{
"metadata": {},
"cell_type": "markdown",
"source": "",
"id": "9b679ab534f329fb"
},
{
"metadata": {},
"cell_type": "code",
"outputs": [],
"execution_count": null,
"source": "",
"id": "71f4c39123fe94c1"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# 2025 - Exercise 1",
"id": "b67ef07f6d7c99b0"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-12-09T15:48:15.121203Z",
"start_time": "2024-12-09T15:48:15.116918Z"
}
},
"cell_type": "code",
"source": [
"def aux(G, M, src):\n",
" newColor = not M[src]\n",
" for adj in G.adjlists[src]:\n",
" if M[adj] == None:\n",
" M[adj] = newColor\n",
" if not aux(G, M, adj):\n",
" return False\n",
" else:\n",
" if M[adj] != newColor:\n",
" return False\n",
" return True\n",
"\n",
"\n",
"def two_coloring(G):\n",
" M = [None] * G.order\n",
" for src in range(G.order):\n",
" if M[src] == None:\n",
" M[src] = True\n",
" if not aux(G, M, src):\n",
" return False\n",
" return True\n",
"\n",
"two_coloring(G1)"
],
"id": "9ed534351df71362",
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"execution_count": 32
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# 2025 - Exercise 2",
"id": "38c3d4e952147c50"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-12-09T16:08:14.367172Z",
"start_time": "2024-12-09T16:08:14.361769Z"
}
},
"cell_type": "code",
"source": [
"def __fakenews(G, M, src, truth):\n",
" cur = Queue()\n",
" cur.enqueue(src)\n",
" stop = False\n",
" while not cur.isempty() and not stop:\n",
" x = cur.dequeue()\n",
" if M[x] > truth + 1:\n",
" for adj in G.adjlists[x]:\n",
" if M[adj] == None:\n",
" M[adj] = M[x] - 1\n",
" cur.enqueue(adj)\n",
" else:\n",
" stop = True\n",
"\n",
"def fakenews(G, src, truth):\n",
" if (truth <= 2):\n",
" raise Exception(\"truth should be > 2\")\n",
" M = [False] * G.order\n",
" M[src] = truth\n",
" fake = []\n",
" __fakenews(G, M, src, truth // 2)\n",
" for i in range(G.order):\n",
" if M[i] == None:\n",
" fake.append(i)\n",
" return truth"
],
"id": "c66ac4688a6975c9",
"outputs": [],
"execution_count": 34
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# 2027 - Exercice 1",
"id": "b8fa23568b4bd3df"
},
{
"metadata": {},
"cell_type": "code",
"outputs": [],
"execution_count": null,
"source": [
"def __longest_path(G, dist, src):\n",
"\n",
"\n",
"def longest_path(G):\n",
" dist = [None] * G.order\n",
" for src in range(G.order):\n",
" __longest_path(G, dist, src)"
],
"id": "9a3a85d15dccbb97"
} }
], ],
"metadata": { "metadata": {