119 lines
3.8 KiB
Plaintext
119 lines
3.8 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 Google LLC."
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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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"# dudeney"
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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/dudeney.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/dudeney.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 2010 Pierre Schaus (pschaus@gmail.com)\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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"from __future__ import print_function\n",
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"from ortools.constraint_solver import pywrapcp\n",
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"\n",
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"\n",
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"def dudeney(n):\n",
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" solver = pywrapcp.Solver('Dudeney')\n",
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" x = [solver.IntVar(list(range(10)), 'x' + str(i)) for i in range(n)]\n",
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" nb = solver.IntVar(list(range(3, 10**n)), 'nb')\n",
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" s = solver.IntVar(list(range(1, 9 * n + 1)), 's')\n",
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"\n",
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" solver.Add(nb == s * s * s)\n",
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" solver.Add(sum([10**(n - i - 1) * x[i] for i in range(n)]) == nb)\n",
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" solver.Add(sum([x[i] for i in range(n)]) == s)\n",
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"\n",
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" solution = solver.Assignment()\n",
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" solution.Add(nb)\n",
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" collector = solver.AllSolutionCollector(solution)\n",
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"\n",
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" solver.Solve(\n",
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" solver.Phase(x, solver.INT_VAR_DEFAULT, solver.INT_VALUE_DEFAULT),\n",
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" [collector])\n",
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"\n",
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" for i in range(collector.SolutionCount()):\n",
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" nbsol = collector.Value(i, nb)\n",
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" print(nbsol)\n",
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"\n",
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" print('#fails:', solver.Failures())\n",
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" print('time:', solver.WallTime(), 'ms')\n",
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"\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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