127 lines
4.0 KiB
Plaintext
127 lines
4.0 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"##### Copyright 2020 Google LLC."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Licensed under the Apache License, Version 2.0 (the \"License\");\n",
|
|
"you may not use this file except in compliance with the License.\n",
|
|
"You may obtain a copy of the License at\n",
|
|
"\n",
|
|
" http://www.apache.org/licenses/LICENSE-2.0\n",
|
|
"\n",
|
|
"Unless required by applicable law or agreed to in writing, software\n",
|
|
"distributed under the License is distributed on an \"AS IS\" BASIS,\n",
|
|
"WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
|
|
"See the License for the specific language governing permissions and\n",
|
|
"limitations under the License.\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# magic_sequence_sat"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<table align=\"left\">\n",
|
|
"<td>\n",
|
|
"<a href=\"https://colab.research.google.com/github/google/or-tools/blob/master/examples/notebook/contrib/magic_sequence_sat.ipynb\"><img src=\"https://raw.githubusercontent.com/google/or-tools/master/tools/colab_32px.png\"/>Run in Google Colab</a>\n",
|
|
"</td>\n",
|
|
"<td>\n",
|
|
"<a href=\"https://github.com/google/or-tools/blob/master/examples/contrib/magic_sequence_sat.py\"><img src=\"https://raw.githubusercontent.com/google/or-tools/master/tools/github_32px.png\"/>View source on GitHub</a>\n",
|
|
"</td>\n",
|
|
"</table>"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"First, you must install [ortools](https://pypi.org/project/ortools/) package in this colab."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"!pip install ortools"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# Copyright 2018 Gergo Rozner\n",
|
|
"# Licensed under the Apache License, Version 2.0 (the \"License\");\n",
|
|
"# you may not use this file except in compliance with the License.\n",
|
|
"# You may obtain a copy of the License at\n",
|
|
"#\n",
|
|
"# http:#www.apache.org/licenses/LICENSE-2.0\n",
|
|
"#\n",
|
|
"# Unless required by applicable law or agreed to in writing, software\n",
|
|
"# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
|
|
"# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
|
|
"# See the License for the specific language governing permissions and\n",
|
|
"# limitations under the License.\n",
|
|
"\"\"\"Solve the magic sequence problem with the CP-SAT solver.\"\"\"\n",
|
|
"\n",
|
|
"from __future__ import absolute_import\n",
|
|
"from __future__ import division\n",
|
|
"from __future__ import print_function\n",
|
|
"\n",
|
|
"from ortools.sat.python import cp_model\n",
|
|
"\n",
|
|
"\n",
|
|
"\"\"\"Magic sequence problem.\"\"\"\n",
|
|
"n = 100\n",
|
|
"values = range(n)\n",
|
|
"\n",
|
|
"model = cp_model.CpModel()\n",
|
|
"\n",
|
|
"x = [model.NewIntVar(0, n, 'x%i' % i) for i in values]\n",
|
|
"\n",
|
|
"for k in values:\n",
|
|
" tmp_array = []\n",
|
|
" for i in values:\n",
|
|
" tmp_var = model.NewBoolVar('')\n",
|
|
" model.Add(x[i] == k).OnlyEnforceIf(tmp_var)\n",
|
|
" model.Add(x[i] != k).OnlyEnforceIf(tmp_var.Not())\n",
|
|
" tmp_array.append(tmp_var)\n",
|
|
" model.Add(sum(tmp_array) == x[k])\n",
|
|
"\n",
|
|
"# Redundant constraint.\n",
|
|
"model.Add(sum(x) == n)\n",
|
|
"\n",
|
|
"solver = cp_model.CpSolver()\n",
|
|
"# No solution printer, this problem has only 1 solution.\n",
|
|
"solver.parameters.log_search_progress = True\n",
|
|
"solver.Solve(model)\n",
|
|
"print(solver.ResponseStats())\n",
|
|
"for k in values:\n",
|
|
" print('x[%i] = %i ' % (k, solver.Value(x[k])), end='')\n",
|
|
"print()\n",
|
|
"\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|