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Google's Operations Research tools:

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// Copyright 2010-2025 Google LLC
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// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
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package com.google.ortools.java;
import com.google.ortools.Loader;
import com.google.ortools.constraintsolver.ConstraintSolverParameters;
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import com.google.ortools.constraintsolver.DecisionBuilder;
import com.google.ortools.constraintsolver.IntVar;
import com.google.ortools.constraintsolver.Solver;
import java.util.logging.Logger;
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/**
* Sample showing how to model using the constraint programming solver.
*/
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public class RabbitsPheasants {
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private static Logger logger = Logger.getLogger(RabbitsPheasants.class.getName());
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/**
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* Solves the rabbits + pheasants problem. We are seeing 20 heads and 56 legs. How many rabbits
* and how many pheasants are we thus seeing?
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*/
private static void solve(boolean traceSearch) {
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ConstraintSolverParameters parameters =
Solver.defaultSolverParameters().toBuilder().setTraceSearch(traceSearch).build();
Solver solver = new Solver("RabbitsPheasants", parameters);
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IntVar rabbits = solver.makeIntVar(0, 100, "rabbits");
IntVar pheasants = solver.makeIntVar(0, 100, "pheasants");
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solver.addConstraint(solver.makeEquality(solver.makeSum(rabbits, pheasants), 20));
solver.addConstraint(solver.makeEquality(
solver.makeSum(solver.makeProd(rabbits, 4), solver.makeProd(pheasants, 2)), 56));
DecisionBuilder db =
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solver.makePhase(rabbits, pheasants, Solver.CHOOSE_FIRST_UNBOUND, Solver.ASSIGN_MIN_VALUE);
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solver.newSearch(db);
solver.nextSolution();
logger.info(rabbits.toString());
logger.info(pheasants.toString());
solver.endSearch();
}
public static void main(String[] args) throws Exception {
Loader.loadNativeLibraries();
boolean traceSearch = args.length > 0 && args[1].equals("--trace");
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RabbitsPheasants.solve(traceSearch);
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}
}