[(1, 1), (2, 2), (1, 3), (2, 4), (2, 5), (1, 6), (1, 7)]
[(1, 1), (1, 3), (1, 6), (1, 7), (2, 2), (2, 4), (2, 5)]
(1, 1, 1, 1, 2, 2, 2) (1, 3, 6, 7, 2, 4, 5)
1 ,  remaining: 4
3 4
3 5
3 6
1 ,  remaining: 4
3 4
3 5
3 6
1 ,  remaining: 4
3 4
3 5
3 6
1 ,  remaining: 4
4 5
1 2 2