defaultdict(list,
{(12, 4, 2): [(1, 2, 2, 3, 4)],
(13, 4, 1): [(1, 2, 3, 3, 4)],
(13, 5, 2): [(1, 2, 2, 3, 5)],
(14, 4, 0): [(1, 3, 3, 3, 4)],
(14, 5, 1): [(1, 2, 3, 3, 5)],
(14, 5, 2): [(1, 2, 2, 4, 5)],
(14, 6, 2): [(1, 2, 2, 3, 6)],
(15, 5, 0): [(1, 3, 3, 3, 5)],
(15, 5, 1): [(1, 2, 3, 4, 5)],
(15, 6, 1): [(1, 2, 3, 3, 6)],
(15, 6, 2): [(1, 2, 2, 4, 6)],
(16, 5, 0): [(1, 3, 3, 4, 5)],
(16, 5, 1): [(1, 2, 4, 4, 5)],
(16, 6, 0): [(1, 3, 3, 3, 6)],
(16, 6, 1): [(1, 2, 3, 4, 6)],
(16, 6, 2): [(1, 2, 2, 5, 6)],
(17, 5, 0): [(1, 3, 4, 4, 5)],
(17, 6, 0): [(1, 3, 3, 4, 6)],
(17, 6, 1): [(1, 2, 3, 5, 6), (1, 2, 4, 4, 6)],
(18, 5, 0): [(1, 4, 4, 4, 5)],
(18, 6, 0): [(1, 3, 3, 5, 6), (1, 3, 4, 4, 6)],
(18, 6, 1): [(1, 2, 4, 5, 6)],
(19, 6, 0): [(1, 3, 4, 5, 6), (1, 4, 4, 4, 6)],
(19, 6, 1): [(1, 2, 5, 5, 6)],
(20, 6, 0): [(1, 3, 5, 5, 6), (1, 4, 4, 5, 6)],
(21, 6, 0): [(1, 4, 5, 5, 6)],
(22, 6, 0): [(1, 5, 5, 5, 6)]})