algorithm - 在列表序言中创建数字组合

Question

我正在 PROLOG 中开发一个程序(有限制)，它应该在特定限制内输出 6 个数字的组合。

列表必须从 1 到 4 的数字，因此会重复另外 2 个数字。 1 到 4 之间的数字不可能不可能。

Possible examples:     Wrong examples:
1,2,3,4,1,1            1,2,3,2,3,3 //Missing #4
1,3,2,1,4,4            4,3,2,4,2,3 //Missing #1
1,2,3,3,2,4
4,1,3,2,1,4

为了完成这项工作，我创建了一些限制，如下所示:

Numbers = [A1, A2, A3, A4, A5, A6]
nCr(6,4) = 15 restrictions
A1 =\= A2 =\= A3 =\= A4 OR
A1 =\= A2 =\= A3 =\= A5 OR
Etc.

这是我到目前为止开发的代码:

make

pred(Numbers) :-

       Numbers = [A1, A2, A3, A4, A5, A6],
       domain(Numbers, 1, 4),

       %restrictions
       all_different([A1,A2,A6,A3]) #\/    %A1 =/= A2 =/= A6 =/= A3
        all_different([A1,A2,A6,A4]) #\/    %A1 =/= A2 =/= A6 =/= A4
         all_different([A1,A2,A6,A5]) #\/    %A1 =/= A2 =/= A6 =/= A5
          all_different([A1,A2,A3,A4]) #\/    %A1 =/= A2 =/= A3 =/= A4
           all_different([A1,A2,A3,A5]) #\/    %A1 =/= A2 =/= A3 =/= A5
            all_different([A1,A2,A4,A5]) #\/    %A1 =/= A2 =/= A4 =/= A5
             all_different([A1,A6,A3,A4]) #\/    %A1 =/= A6 =/= A3 =/= A4
              all_different([A1,A6,A3,A5]) #\/    %A1 =/= A6 =/= A3 =/= A5
               all_different([A1,A6,A4,A5]) #\/    %A1 =/= A6 =/= A4 =/= A5
                all_different([A1,A3,A5,A4]) #\/    %A1 =/= A3 =/= A4 =/= A5
                 all_different([A2,A6,A3,A4]) #\/    %A2 =/= A6 =/= A3 =/= A4
                  all_different([A2,A6,A3,A5]) #\/    %A2 =/= A6 =/= A3 =/= A5 
                   all_different([A2,A6,A4,A5]) #\/    %A2 =/= A6 =/= A4 =/= A5
                    all_different([A2,A3,A4,A5]) #\/    %A2 =/= A3 =/= A4 =/= A5 
                     all_different([A6,A3,A4,A5]),    %A6 =/= A3 =/= A4 =/= A5

           labeling([], Numbers).

逻辑对我来说似乎很好，但这个实现并没有按预期工作。 没有解决方案符合输入的限制条件。谁能帮帮我？

| ?- pred([A1, A2, A3, A4, A5, A6]).
no

Answer 1

这个查询应该满足你的要求

?- Vs = [_,_,_,_,_,_], Vs ins 1..4,
   [A,B,C,D] ins 1..2, global_cardinality(Vs, [1-A,2-B,3-C,4-D]), label(Vs).
Vs = [1, 1, 2, 2, 3, 4],
A = B, B = 2,
C = D, D = 1 ;
Vs = [1, 1, 2, 2, 4, 3],
A = B, B = 2,
C = D, D = 1 ;
...