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