Week_4_Task_1

/*array[1..5, 1..3] of var 0..1: assignment;
constraint forall(i in 1..5)(sum(j in 1..3)(assignment[i,j]) = 1);
constraint forall(j in 1..3)(sum(i in 1..5)(assignment[i,j]) <= 2);
solve minimize sum(i in 1..5, j in 1..3)(cost[i,j] * assignment[i,j]);*/
int: cnt_workers = 5;
int: cnt_tasks = 3;

set of int: workers = 1..cnt_workers;
set of int: tasks = 1..cnt_tasks;

array[workers, tasks] of int: cost;
array[workers, tasks] of var 0..1: as;
array[tasks] of var 0..2: w_on_t;

constraint forall(w in workers)(
  sum(t in tasks)(as[w, t]) = 1
);

constraint forall(t in tasks)(
  w_on_t[t] = sum(w in workers)(as[w, t])
);

constraint forall(t in tasks)(
  w_on_t[t] <= 2
);

var int: ans = sum(w in workers, t in tasks)(cost[w, t] * as[w, t]);

solve minimize ans;