Why does my linear programming show no solution?

1 回表示 (過去 30 日間)
培国 原
培国 原 2022 年 2 月 20 日
コメント済み: 培国 原 2022 年 2 月 28 日
Theoretically, my linear programming has a solution, but why does matlab show no solution?
lxy=143;
prob=optimproblem("ObjectiveSense","maximize")
money=optimvar('money',lxy,lxy,'LowerBound',0)
con1=money(find(D==0))==0;
con2=(sum(money(2:end-1,:),2))-sum(money(:,2:end-1),1)'.*getm==0;
con3=sum(money(1,:),"all")==m0;
prob. Constraints. con1 = con1;
prob. Constraints. con2=con2;
prob. Constraints. con3=con3;
prob. Objective=sum(money(:,end),"all");
prob.Objective=sum(money(:,end),"all");
[sol, fval, flag, out] = solve(prob)
  2 件のコメント
Walter Roberson
Walter Roberson 2022 年 2 月 20 日
We would need the definitions of all of the variables in order to test. In particular the code you posted does not define D or getm or m0
What (approximate) output are you expecting?
培国 原
培国 原 2022 年 2 月 20 日
編集済み: Walter Roberson 2022 年 2 月 20 日
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0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
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0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
getm=[1.01793701091911
1.05834770885580
1.04005144152851
1.03219704999644
1.03243853150430
1.04011998348077
1.06827286806366
1.00063346592241
1.02499067371096
1.08534445907780
1.00305257780603
1.10376859186135
1.08055911473500
1.00525121441806
1.00414666326655
1.12843773961088
1.03166967526622
1.01215312093823
1.07597385480451
1.07529255351719
1.01178253433678
1.00453564909564
1.00770210090760
1.19042136771817
1.01918979878732
1.00464757676953
1.02294365587551
1.08066199091045
1.10281372268585
1.01115571486087
1.03727456913156
1.15566119504702
1.58342718678543
1.29533390982783
1.25941988643797
1.04380234081562
1.12867640347234
2.47172777387916
1.25238316253661
1.04504350352790
1.07281749438996
1.01209807796716
1.42059785985814
1.07537087935070
1.54400033321592
1.18384126589988
1.02947091575898
1.18814302084280
1.53883598072572
1.27726706388368
2.83394232868764
1.11628146496983
1.15269946744584
1.08720329037092
1.25912153075651
1.01247700142208
1.11927487385929
1.60023439384378
1.14114196892072
1.00877313196877
1.02591761983096
1.03671814899273
1.02098430736255
1.20012109016097
1.17528443085480
1.03642097211622
1.02850031061715
1.05651744607339
1.23852460023372
1.13702889446434
1.04008891514587
1.04723453544847
1.22532728217643
1.01627131156332
1.16239851095921
1.35441641435211
1.05297726098952
1.51763908074581
1.08359590524120
1.10493226117095
1.01497292717964
1.00115057305134
1.62623025864042
1.06792792254894
1.08848418445376
1.10387988713207
1.02553541343974
1.10055918444299
1.21659011134903
1.04713727087487
1.01634732895325
1.01984947356310
1.20789551362561
1.07902474016216
1.00480259059003
1.09189295640460
1.09072165887120
1.27424186745223
1.00128797045549
1.11570056772184
1.19018092300634
1.11607917088197
1.20233004907350
1.01475857320365
1.40495448732105
1.09157518634249
1.01057607764272
1.12293749980209
1.00273576794891
1.26163102034854
1.03149249954338
1.03679490094153
1.04508993047831
1.43657817358684
1.24129751200742
1.10490361451862
1.25192463868581
1.71793860737580
1.10616967058776
1.01518841492960
1.81574428617372
1.07501592308851
1.21481426233831
1.00095427777587
1.10351527194644
1.08623950205045
1.12010229935133
1.06341185586247
1.06007598423994
1.08550408936840
1.08670460521644
1.07174034106281
1.09696189991172
1.05031860335620
1.08853591947863
1.01156164701748
1.36147587724217
1.20504844635426
1.05382134035542
1.00362545607646
1.07513259454785]
m0=1000

サインインしてコメントする。

採用された回答

Walter Roberson
Walter Roberson 2022 年 2 月 20 日
MATLAB thinks the problem is unbounded.
D=[0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0
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0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0];
getm=[1.01793701091911
1.05834770885580
1.04005144152851
1.03219704999644
1.03243853150430
1.04011998348077
1.06827286806366
1.00063346592241
1.02499067371096
1.08534445907780
1.00305257780603
1.10376859186135
1.08055911473500
1.00525121441806
1.00414666326655
1.12843773961088
1.03166967526622
1.01215312093823
1.07597385480451
1.07529255351719
1.01178253433678
1.00453564909564
1.00770210090760
1.19042136771817
1.01918979878732
1.00464757676953
1.02294365587551
1.08066199091045
1.10281372268585
1.01115571486087
1.03727456913156
1.15566119504702
1.58342718678543
1.29533390982783
1.25941988643797
1.04380234081562
1.12867640347234
2.47172777387916
1.25238316253661
1.04504350352790
1.07281749438996
1.01209807796716
1.42059785985814
1.07537087935070
1.54400033321592
1.18384126589988
1.02947091575898
1.18814302084280
1.53883598072572
1.27726706388368
2.83394232868764
1.11628146496983
1.15269946744584
1.08720329037092
1.25912153075651
1.01247700142208
1.11927487385929
1.60023439384378
1.14114196892072
1.00877313196877
1.02591761983096
1.03671814899273
1.02098430736255
1.20012109016097
1.17528443085480
1.03642097211622
1.02850031061715
1.05651744607339
1.23852460023372
1.13702889446434
1.04008891514587
1.04723453544847
1.22532728217643
1.01627131156332
1.16239851095921
1.35441641435211
1.05297726098952
1.51763908074581
1.08359590524120
1.10493226117095
1.01497292717964
1.00115057305134
1.62623025864042
1.06792792254894
1.08848418445376
1.10387988713207
1.02553541343974
1.10055918444299
1.21659011134903
1.04713727087487
1.01634732895325
1.01984947356310
1.20789551362561
1.07902474016216
1.00480259059003
1.09189295640460
1.09072165887120
1.27424186745223
1.00128797045549
1.11570056772184
1.19018092300634
1.11607917088197
1.20233004907350
1.01475857320365
1.40495448732105
1.09157518634249
1.01057607764272
1.12293749980209
1.00273576794891
1.26163102034854
1.03149249954338
1.03679490094153
1.04508993047831
1.43657817358684
1.24129751200742
1.10490361451862
1.25192463868581
1.71793860737580
1.10616967058776
1.01518841492960
1.81574428617372
1.07501592308851
1.21481426233831
1.00095427777587
1.10351527194644
1.08623950205045
1.12010229935133
1.06341185586247
1.06007598423994
1.08550408936840
1.08670460521644
1.07174034106281
1.09696189991172
1.05031860335620
1.08853591947863
1.01156164701748
1.36147587724217
1.20504844635426
1.05382134035542
1.00362545607646
1.07513259454785];
m0=1000;
lxy = 143;
prob = optimproblem("ObjectiveSense","maximize");
money = optimvar('money',lxy,lxy,'LowerBound',0);
con1 = money(find(D==0))==0;
con2 = (sum(money(2:end-1,:),2))-sum(money(:,2:end-1),1)'.*getm==0;
con3 = sum(money(1,:),"all")==m0;
prob.Constraints.con1 = con1;
prob.Constraints.con2 = con2;
prob.Constraints.con3 = con3;
prob.Objective = sum(money(:,end),"all");
show(prob)
OptimizationProblem : Solve for: money maximize : money(1, 143) + money(2, 143) + money(3, 143) + money(4, 143) + money(5, 143) + money(6, 143) + money(7, 143) + money(8, 143) + money(9, 143) + money(10, 143) + money(11, 143) + money(12, 143) + money(13, 143) + money(14, 143) + money(15, 143) + money(16, 143) + money(17, 143) + money(18, 143) + money(19, 143) + money(20, 143) + money(21, 143) + money(22, 143) + money(23, 143) + money(24, 143) + money(25, 143) + money(26, 143) + money(27, 143) + money(28, 143) + money(29, 143) + money(30, 143) + money(31, 143) + money(32, 143) + money(33, 143) + money(34, 143) + money(35, 143) + money(36, 143) + money(37, 143) + money(38, 143) + money(39, 143) + money(40, 143) + money(41, 143) + money(42, 143) + money(43, 143) + money(44, 143) + money(45, 143) + money(46, 143) + money(47, 143) + money(48, 143) + money(49, 143) + money(50, 143) + money(51, 143) + money(52, 143) + money(53, 143) + money(54, 143) + money(55, 143) + money(56, 143) + money(57, 143) + money(58, 143) + money(59, 143) + money(60, 143) + money(61, 143) + money(62, 143) + money(63, 143) + money(64, 143) + money(65, 143) + money(66, 143) + money(67, 143) + money(68, 143) + money(69, 143) + money(70, 143) + money(71, 143) + money(72, 143) + money(73, 143) + money(74, 143) + money(75, 143) + money(76, 143) + money(77, 143) + money(78, 143) + money(79, 143) + money(80, 143) + money(81, 143) + money(82, 143) + money(83, 143) + money(84, 143) + money(85, 143) + money(86, 143) + money(87, 143) + money(88, 143) + money(89, 143) + money(90, 143) + money(91, 143) + money(92, 143) + money(93, 143) + money(94, 143) + money(95, 143) + money(96, 143) + money(97, 143) + money(98, 143) + money(99, 143) + money(100, 143) + money(101, 143) + money(102, 143) + money(103, 143) + money(104, 143) + money(105, 143) + money(106, 143) + money(107, 143) + money(108, 143) + money(109, 143) + money(110, 143) + money(111, 143) + money(112, 143) + money(113, 143) + money(114, 143) + money(115, 143) + money(116, 143) + money(117, 143) + money(118, 143) + money(119, 143) + money(120, 143) + money(121, 143) + money(122, 143) + money(123, 143) + money(124, 143) + money(125, 143) + money(126, 143) + money(127, 143) + money(128, 143) + money(129, 143) + money(130, 143) + money(131, 143) + money(132, 143) + money(133, 143) + money(134, 143) + money(135, 143) + money(136, 143) + money(137, 143) + money(138, 143) + money(139, 143) + money(140, 143) + money(141, 143) + money(142, 143) + money(143, 143) subject to con1: money(1, 1) == 0 money(2, 1) == 0 money(3, 1) == 0 money(4, 1) == 0 money(5, 1) == 0 money(6, 1) == 0 money(7, 1) == 0 money(8, 1) == 0 money(9, 1) == 0 money(10, 1) == 0 money(11, 1) == 0 money(12, 1) == 0 money(13, 1) == 0 money(14, 1) == 0 money(15, 1) == 0 money(16, 1) == 0 money(17, 1) == 0 money(18, 1) == 0 money(19, 1) == 0 money(20, 1) == 0 money(21, 1) == 0 money(22, 1) == 0 money(23, 1) == 0 money(24, 1) == 0 money(25, 1) == 0 money(26, 1) == 0 money(27, 1) == 0 money(28, 1) == 0 money(29, 1) == 0 money(30, 1) == 0 money(31, 1) == 0 money(32, 1) == 0 money(33, 1) == 0 money(34, 1) == 0 money(35, 1) == 0 money(36, 1) == 0 money(37, 1) == 0 money(38, 1) == 0 money(39, 1) == 0 money(40, 1) == 0 money(41, 1) == 0 money(42, 1) == 0 money(43, 1) == 0 money(44, 1) == 0 money(45, 1) == 0 money(46, 1) == 0 money(47, 1) == 0 money(48, 1) == 0 money(49, 1) == 0 money(50, 1) == 0 money(51, 1) == 0 money(52, 1) == 0 money(53, 1) == 0 money(54, 1) == 0 money(55, 1) == 0 money(56, 1) == 0 money(57, 1) == 0 money(58, 1) == 0 money(59, 1) == 0 money(60, 1) == 0 money(61, 1) == 0 money(62, 1) == 0 money(63, 1) == 0 money(64, 1) == 0 money(65, 1) == 0 money(66, 1) == 0 money(67, 1) == 0 money(68, 1) == 0 money(69, 1) == 0 money(70, 1) == 0 money(71, 1) == 0 money(72, 1) == 0 money(73, 1) == 0 money(74, 1) == 0 money(75, 1) == 0 money(76, 1) == 0 money(77, 1) == 0 money(78, 1) == 0 money(79, 1) == 0 money(80, 1) == 0 money(81, 1) == 0 money(82, 1) == 0 money(83, 1) == 0 money(84, 1) == 0 money(85, 1) == 0 money(86, 1) == 0 money(87, 1) == 0 money(88, 1) == 0 money(89, 1) == 0 money(90, 1) == 0 money(91, 1) == 0 money(92, 1) == 0 money(93, 1) == 0 money(94, 1) == 0 money(95, 1) == 0 money(96, 1) == 0 money(97, 1) == 0 money(98, 1) == 0 money(99, 1) == 0 money(100, 1) == 0 money(101, 1) == 0 money(102, 1) == 0 money(103, 1) == 0 money(104, 1) == 0 money(105, 1) == 0 money(106, 1) == 0 money(107, 1) == 0 money(108, 1) == 0 money(109, 1) == 0 money(110, 1) == 0 money(111, 1) == 0 money(112, 1) == 0 money(113, 1) == 0 money(114, 1) == 0 money(115, 1) == 0 money(116, 1) == 0 money(117, 1) == 0 money(118, 1) == 0 money(119, 1) == 0 money(120, 1) == 0 money(121, 1) == 0 money(122, 1) == 0 money(123, 1) == 0 money(124, 1) == 0 money(125, 1) == 0 money(126, 1) == 0 money(127, 1) == 0 money(128, 1) == 0 money(129, 1) == 0 money(130, 1) == 0 money(131, 1) == 0 money(132, 1) == 0 money(133, 1) == 0 money(134, 1) == 0 money(135, 1) == 0 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== 0 money(43, 48) == 0 money(44, 48) == 0 money(45, 48) == 0 money(46, 48) == 0 money(47, 48) == 0 money(48, 48) == 0 money(49, 48) == 0 money(50, 48) == 0 money(51, 48) == 0 money(52, 48) == 0 money(53, 48) == 0 money(54, 48) == 0 money(55, 48) == 0 money(56, 48) == 0 money(57, 48) == 0 money(58, 48) == 0 money(59, 48) == 0 money(60, 48) == 0 money(61, 48) == 0 money(62, 48) == 0 money(63, 48) == 0 money(64, 48) == 0 money(65, 48) == 0 money(66, 48) == 0 money(67, 48) == 0 money(68, 48) == 0 money(69, 48) == 0 money(70, 48) == 0 money(71, 48) == 0 money(72, 48) == 0 money(73, 48) == 0 money(74, 48) == 0 money(75, 48) == 0 money(76, 48) == 0 money(77, 48) == 0 money(78, 48) == 0 money(79, 48) == 0 money(143, 48) == 0 money(2, 49) == 0 money(3, 49) == 0 money(4, 49) == 0 money(5, 49) == 0 money(6, 49) == 0 money(33, 49) == 0 money(34, 49) == 0 money(35, 49) == 0 money(36, 49) == 0 money(37, 49) == 0 money(38, 49) == 0 money(39, 49) == 0 money(40, 49) == 0 money(41, 49) == 0 money(42, 49) == 0 money(43, 49) == 0 money(44, 49) == 0 money(45, 49) == 0 money(46, 49) == 0 money(47, 49) == 0 money(48, 49) == 0 money(49, 49) == 0 money(50, 49) == 0 money(51, 49) == 0 money(52, 49) == 0 money(53, 49) == 0 money(54, 49) == 0 money(55, 49) == 0 money(56, 49) == 0 money(57, 49) == 0 money(58, 49) == 0 money(59, 49) == 0 money(60, 49) == 0 money(61, 49) == 0 money(62, 49) == 0 money(63, 49) == 0 money(64, 49) == 0 money(65, 49) == 0 money(66, 49) == 0 money(67, 49) == 0 money(68, 49) == 0 money(69, 49) == 0 money(70, 49) == 0 money(71, 49) == 0 money(72, 49) == 0 money(73, 49) == 0 money(74, 49) == 0 money(75, 49) == 0 money(76, 49) == 0 money(77, 49) == 0 money(78, 49) == 0 money(79, 49) == 0 money(80, 49) == 0 money(143, 49) == 0 money(2, 50) == 0 money(3, 50) == 0 money(4, 50) == 0 money(5, 50) == 0 money(6, 50) == 0 money(33, 50) == 0 money(34, 50) == 0 money(35, 50) == 0 money(36, 50) == 0 money(37, 50) == 0 money(38, 50) == 0 money(39, 50) == 0 money(40, 50) == 0 money(41, 50) == 0 money(42, 50) == 0 money(43, 50) == 0 money(44, 50) == 0 money(45, 50) == 0 money(46, 50) == 0 money(47, 50) == 0 money(48, 50) == 0 money(49, 50) == 0 money(50, 50) == 0 money(51, 50) == 0 money(52, 50) == 0 money(53, 50) == 0 money(54, 50) == 0 money(55, 50) == 0 money(56, 50) == 0 money(57, 50) == 0 money(58, 50) == 0 money(59, 50) == 0 money(60, 50) == 0 money(61, 50) == 0 money(62, 50) == 0 money(63, 50) == 0 money(64, 50) == 0 money(65, 50) == 0 money(66, 50) == 0 money(67, 50) == 0 money(68, 50) == 0 money(69, 50) == 0 money(70, 50) == 0 money(71, 50) == 0 money(72, 50) == 0 money(73, 50) == 0 money(74, 50) == 0 money(75, 50) == 0 money(76, 50) == 0 money(77, 50) == 0 money(78, 50) == 0 money(79, 50) == 0 money(80, 50) == 0 money(81, 50) == 0 money(143, 50) == 0 money(2, 51) == 0 money(3, 51) == 0 money(4, 51) == 0 money(5, 51) == 0 money(6, 51) == 0 money(33, 51) == 0 money(34, 51) == 0 money(35, 51) == 0 money(36, 51) == 0 money(37, 51) == 0 money(38, 51) == 0 money(39, 51) == 0 money(40, 51) == 0 money(41, 51) == 0 money(42, 51) == 0 money(43, 51) == 0 money(44, 51) == 0 money(45, 51) == 0 money(46, 51) == 0 money(47, 51) == 0 money(48, 51) == 0 money(49, 51) == 0 money(50, 51) == 0 money(51, 51) == 0 money(52, 51) == 0 money(53, 51) == 0 money(54, 51) == 0 money(55, 51) == 0 money(56, 51) == 0 money(57, 51) == 0 money(58, 51) == 0 money(59, 51) == 0 money(60, 51) == 0 money(61, 51) == 0 money(62, 51) == 0 money(63, 51) == 0 money(64, 51) == 0 money(65, 51) == 0 money(66, 51) == 0 money(67, 51) == 0 money(68, 51) == 0 money(69, 51) == 0 money(70, 51) == 0 money(71, 51) == 0 money(72, 51) == 0 money(73, 51) == 0 money(74, 51) == 0 money(75, 51) == 0 money(76, 51) == 0 money(77, 51) == 0 money(78, 51) == 0 money(79, 51) == 0 money(80, 51) == 0 money(81, 51) == 0 money(82, 51) == 0 money(143, 51) == 0 money(2, 52) == 0 money(3, 52) == 0 money(4, 52) == 0 money(5, 52) == 0 money(6, 52) == 0 money(33, 52) == 0 money(34, 52) == 0 money(35, 52) == 0 money(36, 52) == 0 money(37, 52) == 0 money(38, 52) == 0 money(39, 52) == 0 money(40, 52) == 0 money(41, 52) == 0 money(42, 52) == 0 money(43, 52) == 0 money(44, 52) == 0 money(45, 52) == 0 money(46, 52) == 0 money(47, 52) == 0 money(48, 52) == 0 money(49, 52) == 0 money(50, 52) == 0 money(51, 52) == 0 money(52, 52) == 0 money(53, 52) == 0 money(54, 52) == 0 money(55, 52) == 0 money(56, 52) == 0 money(57, 52) == 0 money(58, 52) == 0 money(59, 52) == 0 money(60, 52) == 0 money(61, 52) == 0 money(62, 52) == 0 money(63, 52) == 0 money(64, 52) == 0 money(65, 52) == 0 money(66, 52) == 0 money(67, 52) == 0 money(68, 52) == 0 money(69, 52) == 0 money(70, 52) == 0 money(71, 52) == 0 money(72, 52) == 0 money(73, 52) == 0 money(74, 52) == 0 money(75, 52) == 0 money(76, 52) == 0 money(77, 52) == 0 money(78, 52) == 0 money(79, 52) == 0 money(80, 52) == 0 money(81, 52) == 0 money(82, 52) == 0 money(83, 52) == 0 money(143, 52) == 0 money(2, 53) == 0 money(3, 53) == 0 money(4, 53) == 0 money(5, 53) == 0 money(6, 53) == 0 money(7, 53) == 0 money(33, 53) == 0 money(34, 53) == 0 money(35, 53) == 0 money(36, 53) == 0 money(37, 53) == 0 money(38, 53) == 0 money(39, 53) == 0 money(40, 53) == 0 money(41, 53) == 0 money(42, 53) == 0 money(43, 53) == 0 money(44, 53) == 0 money(45, 53) == 0 money(46, 53) == 0 money(47, 53) == 0 money(48, 53) == 0 money(49, 53) == 0 money(50, 53) == 0 money(51, 53) == 0 money(52, 53) == 0 money(53, 53) == 0 money(54, 53) == 0 money(55, 53) == 0 money(56, 53) == 0 money(57, 53) == 0 money(58, 53) == 0 money(59, 53) == 0 money(60, 53) == 0 money(61, 53) == 0 money(62, 53) == 0 money(63, 53) == 0 money(64, 53) == 0 money(65, 53) == 0 money(66, 53) == 0 money(67, 53) == 0 money(68, 53) == 0 money(69, 53) == 0 money(70, 53) == 0 money(71, 53) == 0 money(72, 53) == 0 money(73, 53) == 0 money(74, 53) == 0 money(75, 53) == 0 money(76, 53) == 0 money(77, 53) == 0 money(78, 53) == 0 money(79, 53) == 0 money(80, 53) == 0 money(81, 53) == 0 money(82, 53) == 0 money(83, 53) == 0 money(84, 53) == 0 money(143, 53) == 0 money(2, 54) == 0 money(3, 54) == 0 money(4, 54) == 0 money(5, 54) == 0 money(6, 54) == 0 money(7, 54) == 0 money(33, 54) == 0 money(34, 54) == 0 money(35, 54) == 0 money(36, 54) == 0 money(37, 54) == 0 money(38, 54) == 0 money(39, 54) == 0 money(40, 54) == 0 money(41, 54) == 0 money(42, 54) == 0 money(43, 54) == 0 money(44, 54) == 0 money(45, 54) == 0 money(46, 54) == 0 money(47, 54) == 0 money(48, 54) == 0 money(49, 54) == 0 money(50, 54) == 0 money(51, 54) == 0 money(52, 54) == 0 money(53, 54) == 0 money(54, 54) == 0 money(55, 54) == 0 money(56, 54) == 0 money(57, 54) == 0 money(58, 54) == 0 money(59, 54) == 0 money(60, 54) == 0 money(61, 54) == 0 money(62, 54) == 0 money(63, 54) == 0 money(64, 54) == 0 money(65, 54) == 0 money(66, 54) == 0 money(67, 54) == 0 money(68, 54) == 0 money(69, 54) == 0 money(70, 54) == 0 money(71, 54) == 0 money(72, 54) == 0 money(73, 54) == 0 money(74, 54) == 0 money(75, 54) == 0 money(76, 54) == 0 money(77, 54) == 0 money(78, 54) == 0 money(79, 54) == 0 money(80, 54) == 0 money(81, 54) == 0 money(82, 54) == 0 money(83, 54) == 0 money(84, 54) == 0 money(85, 54) == 0 money(143, 54) == 0 money(2, 55) == 0 money(3, 55) == 0 money(4, 55) == 0 money(5, 55) == 0 money(6, 55) == 0 money(7, 55) == 0 money(33, 55) == 0 money(34, 55) == 0 money(35, 55) == 0 money(36, 55) == 0 money(37, 55) == 0 money(38, 55) == 0 money(39...
[sol, fval, flag, out] = solve(prob)
Solving problem using linprog. Problem is unbounded.
sol = struct with fields:
money: []
fval = []
flag =
Unbounded
out = struct with fields:
iterations: 0 message: 'Problem is unbounded.' algorithm: 'dual-simplex' constrviolation: [] firstorderopt: [] solver: 'linprog'
  6 件のコメント
Walter Roberson
Walter Roberson 2022 年 2 月 27 日
When I investigated the system symbolically, I found it was possible to express the objective in terms of linear combinations of values that only had the lower-bound constraint on.
I did not go on to prove that the objective could become unbounded even without any of the variables becoming negative, but that looked like a plausible hypothesis.
Unfortunately the symbolic approach was pretty slow.
培国 原
培国 原 2022 年 2 月 28 日
Thank you very much for your help. It's inconvenient to explain the background of the problem. I didn't continue to use linear programming, but transformed it into the problem of finding the longest path through proof.

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