Update notebooks
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136
examples/notebook/linear_solver/basic_example.ipynb
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136
examples/notebook/linear_solver/basic_example.ipynb
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{
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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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"# basic_example"
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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/linear_solver/basic_example.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/ortools/linear_solver/samples/basic_example.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 2010-2018 Google LLC\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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"\"\"\"Minimal example to call the GLOP solver.\"\"\"\n",
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"# [START program]\n",
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"# [START import]\n",
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"from ortools.linear_solver import pywraplp\n",
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"# [END import]\n",
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"\n",
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"\n",
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"# [START solver]\n",
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"# Create the linear solver with the GLOP backend.\n",
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"solver = pywraplp.Solver.CreateSolver('GLOP')\n",
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"# [END solver]\n",
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"\n",
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"# [START variables]\n",
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"# Create the variables x and y.\n",
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"x = solver.NumVar(0, 1, 'x')\n",
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"y = solver.NumVar(0, 2, 'y')\n",
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"\n",
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"print('Number of variables =', solver.NumVariables())\n",
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"# [END variables]\n",
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"\n",
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"# [START constraints]\n",
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"# Create a linear constraint, 0 <= x + y <= 2.\n",
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"ct = solver.Constraint(0, 2, 'ct')\n",
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"ct.SetCoefficient(x, 1)\n",
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"ct.SetCoefficient(y, 1)\n",
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"\n",
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"print('Number of constraints =', solver.NumConstraints())\n",
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"# [END constraints]\n",
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"\n",
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"# [START objective]\n",
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"# Create the objective function, 3 * x + y.\n",
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"objective = solver.Objective()\n",
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"objective.SetCoefficient(x, 3)\n",
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"objective.SetCoefficient(y, 1)\n",
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"objective.SetMaximization()\n",
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"# [END objective]\n",
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"\n",
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"# [START solve]\n",
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"solver.Solve()\n",
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"# [END solve]\n",
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"\n",
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"# [START print_solution]\n",
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"print('Solution:')\n",
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"print('Objective value =', objective.Value())\n",
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"print('x =', x.solution_value())\n",
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"print('y =', y.solution_value())\n",
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"# [END print_solution]\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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@@ -97,6 +97,8 @@
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" # [START variables]\n",
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" x = solver.NumVar(0, solver.infinity(), 'x')\n",
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" y = solver.NumVar(0, solver.infinity(), 'y')\n",
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"\n",
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" print('Number of variables =', solver.NumVariables())\n",
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" # [END variables]\n",
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"\n",
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" # [START constraints]\n",
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@@ -114,6 +116,8 @@
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" constraint2 = solver.Constraint(-solver.infinity(), 2)\n",
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" constraint2.SetCoefficient(x, 1)\n",
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" constraint2.SetCoefficient(y, -1)\n",
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"\n",
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" print('Number of constraints =', solver.NumConstraints())\n",
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" # [END constraints]\n",
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"\n",
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" # [START objective]\n",
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@@ -126,20 +130,26 @@
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"\n",
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" # Solve the system.\n",
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" # [START solve]\n",
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" solver.Solve()\n",
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" status = solver.Solve()\n",
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" # [END solve]\n",
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"\n",
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" # [START print_solution]\n",
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" opt_solution = 3 * x.solution_value() + 4 * y.solution_value()\n",
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" print('Number of variables =', solver.NumVariables())\n",
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" print('Number of constraints =', solver.NumConstraints())\n",
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" # The value of each variable in the solution.\n",
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" print('Solution:')\n",
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" print('x = ', x.solution_value())\n",
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" print('y = ', y.solution_value())\n",
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" # The objective value of the solution.\n",
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" print('Optimal objective value =', opt_solution)\n",
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" if status == pywraplp.Solver.OPTIMAL:\n",
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" print('Solution:')\n",
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" print('Objective value =', solver.Objective().Value())\n",
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" print('x =', x.solution_value())\n",
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" print('y =', y.solution_value())\n",
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" else:\n",
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" print('The problem does not have an optimal solution.')\n",
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" # [END print_solution]\n",
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"\n",
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" # [START advanced]\n",
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" print('\\nAdvanced usage:')\n",
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" print('Problem solved in %f milliseconds' % solver.wall_time())\n",
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" print('Problem solved in %d iterations' % solver.iterations())\n",
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" print('Problem solved in %d branch-and-bound nodes' % solver.nodes())\n",
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" # [END advanced]\n",
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"\n",
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"\n",
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"LinearProgrammingExample()\n",
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"# [END program]\n",
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@@ -92,40 +92,49 @@
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"# [END solver]\n",
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"\n",
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"# [START variables]\n",
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"infinity = solver.infinity()\n",
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"# Create the variables x and y.\n",
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"x = solver.NumVar(0, 1, 'x')\n",
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"y = solver.NumVar(0, 2, 'y')\n",
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"x = solver.NumVar(0.0, infinity, 'x')\n",
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"y = solver.NumVar(0.0, infinity, 'y')\n",
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"\n",
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"print('Number of variables =', solver.NumVariables())\n",
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"# [END variables]\n",
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"\n",
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"# [START constraints]\n",
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"# Create a linear constraint, 0 <= x + y <= 2.\n",
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"ct = solver.Constraint(0, 2, 'ct')\n",
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"ct.SetCoefficient(x, 1)\n",
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"ct.SetCoefficient(y, 1)\n",
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"# x + 7 * y <= 17.5.\n",
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"solver.Add(x + 7 * y <= 17.5)\n",
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"\n",
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"# x <= 3.5.\n",
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"solver.Add(x <= 3.5)\n",
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"\n",
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"print('Number of constraints =', solver.NumConstraints())\n",
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"# [END constraints]\n",
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"\n",
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"# [START objective]\n",
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"# Create the objective function, 3 * x + y.\n",
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"objective = solver.Objective()\n",
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"objective.SetCoefficient(x, 3)\n",
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"objective.SetCoefficient(y, 1)\n",
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"objective.SetMaximization()\n",
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"# Maximize x + 10 * y.\n",
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"solver.Maximize(x + 10 * y)\n",
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"# [END objective]\n",
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"\n",
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"# [START solve]\n",
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"solver.Solve()\n",
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"status = solver.Solve()\n",
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"# [END solve]\n",
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"\n",
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"# [START print_solution]\n",
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"print('Solution:')\n",
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"print('Objective value =', objective.Value())\n",
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"print('x =', x.solution_value())\n",
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"print('y =', y.solution_value())\n",
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"if status == pywraplp.Solver.OPTIMAL:\n",
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" print('Solution:')\n",
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" print('Objective value =', solver.Objective().Value())\n",
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" print('x =', x.solution_value())\n",
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" print('y =', y.solution_value())\n",
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"else:\n",
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" print('The problem does not have an optimal solution.')\n",
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"# [END print_solution]\n",
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"\n",
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"# [START advanced]\n",
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"print('\\nAdvanced usage:')\n",
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"print('Problem solved in %f milliseconds' % solver.wall_time())\n",
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"print('Problem solved in %d iterations' % solver.iterations())\n",
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"print('Problem solved in %d branch-and-bound nodes' % solver.nodes())\n",
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"# [END advanced]\n",
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"\n"
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]
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}
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