#include <lemon/lp.h>

 //#include <lemon/ilp_glpk.h>

 using namespace lemon;

 int main(){

   //MipGlpk ilp;

    Mip ilp;

   typedef Mip::Row Row;

   typedef Mip::Col Col;

   ilp.max();

   Col x1 = ilp.addCol();

   Col x2 = ilp.addCol();

   Col x3 = ilp.addCol();

   ilp.integer(x1,true);

   ilp.integer(x2,true);

   ilp.integer(x3,true);

   ilp.addRow(x1+x2+x3 <=100);  

   ilp.addRow(10*x1+4*x2+5*x3<=600);  

   ilp.addRow(2*x1+2*x2+6*x3<=300); 

   ilp.colLowerBound(x1, 0);

   ilp.colLowerBound(x2, 0);

   ilp.colLowerBound(x3, 0);

   //Objective function

   ilp.obj(10*x1+6*x2+4*x3);

   //Call the routine of the underlying LP solver

   ilp.solve();

   //Print results

   if (ilp.primalStatus()==LpSolverBase::OPTIMAL){

     std::cout<<"Optimal solution found!"<<std::endl;

     printf("optimum value = %g; x1 = %g; x2 = %g; x3 = %g\n", 

            ilp.primalValue(), 

            ilp.primal(x1), ilp.primal(x2), ilp.primal(x3));

   }

   else{

     std::cout<<"Optimal solution not found!"<<std::endl;

   }

 }