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### mip1_c++.cpp

/* Copyright 2023, Gurobi Optimization, LLC */

/* This example formulates and solves the following simple MIP model:

maximize    x +   y + 2 z
subject to  x + 2 y + 3 z <= 4
x +   y       >= 1
x, y, z binary
*/

#include "gurobi_c++.h"
using namespace std;

int
main(int   argc,
char *argv[])
{
try {

// Create an environment
GRBEnv env = GRBEnv(true);
env.set("LogFile", "mip1.log");
env.start();

// Create an empty model
GRBModel model = GRBModel(env);

// Create variables
GRBVar x = model.addVar(0.0, 1.0, 0.0, GRB_BINARY, "x");
GRBVar y = model.addVar(0.0, 1.0, 0.0, GRB_BINARY, "y");
GRBVar z = model.addVar(0.0, 1.0, 0.0, GRB_BINARY, "z");

// Set objective: maximize x + y + 2 z
model.setObjective(x + y + 2 * z, GRB_MAXIMIZE);

// Add constraint: x + 2 y + 3 z <= 4
model.addConstr(x + 2 * y + 3 * z <= 4, "c0");

// Add constraint: x + y >= 1
model.addConstr(x + y >= 1, "c1");

// Optimize model
model.optimize();

cout << x.get(GRB_StringAttr_VarName) << " "
<< x.get(GRB_DoubleAttr_X) << endl;
cout << y.get(GRB_StringAttr_VarName) << " "
<< y.get(GRB_DoubleAttr_X) << endl;
cout << z.get(GRB_StringAttr_VarName) << " "
<< z.get(GRB_DoubleAttr_X) << endl;

cout << "Obj: " << model.get(GRB_DoubleAttr_ObjVal) << endl;

} catch(GRBException e) {
cout << "Error code = " << e.getErrorCode() << endl;
cout << e.getMessage() << endl;
} catch(...) {
cout << "Exception during optimization" << endl;
}

return 0;
}