1, 1 1 a b 0 0 1;
2, 2 1 b c 0 1 0;
3, 3 2 b d 0 1 1;
4, 4 1 c a 1 0 0;
5, 5 2 c b 1 0 1;
6, 6 2 d c 1 1 0;
