Identifier
Mp00283: Perfect matchings —non-nesting-exceedence permutation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Images
[(1,2)] => [2,1] => [1,1]
[(1,2),(3,4)] => [2,1,4,3] => [1,2,1]
[(1,3),(2,4)] => [3,4,1,2] => [2,2]
[(1,4),(2,3)] => [3,4,2,1] => [2,1,1]
[(1,2),(3,4),(5,6)] => [2,1,4,3,6,5] => [1,2,2,1]
[(1,3),(2,4),(5,6)] => [3,4,1,2,6,5] => [2,3,1]
[(1,4),(2,3),(5,6)] => [3,4,2,1,6,5] => [2,1,2,1]
[(1,5),(2,3),(4,6)] => [3,5,2,6,1,4] => [2,2,2]
[(1,6),(2,3),(4,5)] => [3,5,2,6,4,1] => [2,2,1,1]
[(1,6),(2,4),(3,5)] => [4,5,6,2,3,1] => [3,2,1]
[(1,5),(2,4),(3,6)] => [4,5,6,2,1,3] => [3,1,2]
[(1,4),(2,5),(3,6)] => [4,5,6,1,2,3] => [3,3]
[(1,3),(2,5),(4,6)] => [3,5,1,6,2,4] => [2,2,2]
[(1,2),(3,5),(4,6)] => [2,1,5,6,3,4] => [1,3,2]
[(1,2),(3,6),(4,5)] => [2,1,5,6,4,3] => [1,3,1,1]
[(1,3),(2,6),(4,5)] => [3,5,1,6,4,2] => [2,2,1,1]
[(1,4),(2,6),(3,5)] => [4,5,6,1,3,2] => [3,2,1]
[(1,5),(2,6),(3,4)] => [4,5,6,3,1,2] => [3,1,2]
[(1,6),(2,5),(3,4)] => [4,5,6,3,2,1] => [3,1,1,1]
[(1,2),(3,4),(5,6),(7,8)] => [2,1,4,3,6,5,8,7] => [1,2,2,2,1]
[(1,3),(2,4),(5,6),(7,8)] => [3,4,1,2,6,5,8,7] => [2,3,2,1]
[(1,4),(2,3),(5,6),(7,8)] => [3,4,2,1,6,5,8,7] => [2,1,2,2,1]
[(1,5),(2,3),(4,6),(7,8)] => [3,5,2,6,1,4,8,7] => [2,2,3,1]
[(1,6),(2,3),(4,5),(7,8)] => [3,5,2,6,4,1,8,7] => [2,2,1,2,1]
[(1,7),(2,3),(4,5),(6,8)] => [3,5,2,7,4,8,1,6] => [2,2,2,2]
[(1,8),(2,3),(4,5),(6,7)] => [3,5,2,7,4,8,6,1] => [2,2,2,1,1]
[(1,8),(2,4),(3,5),(6,7)] => [4,5,7,2,3,8,6,1] => [3,3,1,1]
[(1,7),(2,4),(3,5),(6,8)] => [4,5,7,2,3,8,1,6] => [3,3,2]
[(1,6),(2,4),(3,5),(7,8)] => [4,5,6,2,3,1,8,7] => [3,2,2,1]
[(1,5),(2,4),(3,6),(7,8)] => [4,5,6,2,1,3,8,7] => [3,1,3,1]
[(1,4),(2,5),(3,6),(7,8)] => [4,5,6,1,2,3,8,7] => [3,4,1]
[(1,3),(2,5),(4,6),(7,8)] => [3,5,1,6,2,4,8,7] => [2,2,3,1]
[(1,2),(3,5),(4,6),(7,8)] => [2,1,5,6,3,4,8,7] => [1,3,3,1]
[(1,2),(3,6),(4,5),(7,8)] => [2,1,5,6,4,3,8,7] => [1,3,1,2,1]
[(1,3),(2,6),(4,5),(7,8)] => [3,5,1,6,4,2,8,7] => [2,2,1,2,1]
[(1,4),(2,6),(3,5),(7,8)] => [4,5,6,1,3,2,8,7] => [3,2,2,1]
[(1,5),(2,6),(3,4),(7,8)] => [4,5,6,3,1,2,8,7] => [3,1,3,1]
[(1,6),(2,5),(3,4),(7,8)] => [4,5,6,3,2,1,8,7] => [3,1,1,2,1]
[(1,7),(2,5),(3,4),(6,8)] => [4,5,7,3,2,8,1,6] => [3,1,2,2]
[(1,8),(2,5),(3,4),(6,7)] => [4,5,7,3,2,8,6,1] => [3,1,2,1,1]
[(1,8),(2,6),(3,4),(5,7)] => [4,6,7,3,8,2,5,1] => [3,2,2,1]
[(1,7),(2,6),(3,4),(5,8)] => [4,6,7,3,8,2,1,5] => [3,2,1,2]
[(1,6),(2,7),(3,4),(5,8)] => [4,6,7,3,8,1,2,5] => [3,2,3]
[(1,5),(2,7),(3,4),(6,8)] => [4,5,7,3,1,8,2,6] => [3,1,2,2]
[(1,4),(2,7),(3,5),(6,8)] => [4,5,7,1,3,8,2,6] => [3,3,2]
[(1,3),(2,7),(4,5),(6,8)] => [3,5,1,7,4,8,2,6] => [2,2,2,2]
[(1,2),(3,7),(4,5),(6,8)] => [2,1,5,7,4,8,3,6] => [1,3,2,2]
[(1,2),(3,8),(4,5),(6,7)] => [2,1,5,7,4,8,6,3] => [1,3,2,1,1]
[(1,3),(2,8),(4,5),(6,7)] => [3,5,1,7,4,8,6,2] => [2,2,2,1,1]
[(1,4),(2,8),(3,5),(6,7)] => [4,5,7,1,3,8,6,2] => [3,3,1,1]
[(1,5),(2,8),(3,4),(6,7)] => [4,5,7,3,1,8,6,2] => [3,1,2,1,1]
[(1,6),(2,8),(3,4),(5,7)] => [4,6,7,3,8,1,5,2] => [3,2,2,1]
[(1,7),(2,8),(3,4),(5,6)] => [4,6,7,3,8,5,1,2] => [3,2,1,2]
[(1,8),(2,7),(3,4),(5,6)] => [4,6,7,3,8,5,2,1] => [3,2,1,1,1]
[(1,8),(2,7),(3,5),(4,6)] => [5,6,7,8,3,4,2,1] => [4,2,1,1]
[(1,7),(2,8),(3,5),(4,6)] => [5,6,7,8,3,4,1,2] => [4,2,2]
[(1,6),(2,8),(3,5),(4,7)] => [5,6,7,8,3,1,4,2] => [4,1,2,1]
[(1,5),(2,8),(3,6),(4,7)] => [5,6,7,8,1,3,4,2] => [4,3,1]
[(1,4),(2,8),(3,6),(5,7)] => [4,6,7,1,8,3,5,2] => [3,2,2,1]
[(1,3),(2,8),(4,6),(5,7)] => [3,6,1,7,8,4,5,2] => [2,3,2,1]
[(1,2),(3,8),(4,6),(5,7)] => [2,1,6,7,8,4,5,3] => [1,4,2,1]
[(1,2),(3,7),(4,6),(5,8)] => [2,1,6,7,8,4,3,5] => [1,4,1,2]
[(1,3),(2,7),(4,6),(5,8)] => [3,6,1,7,8,4,2,5] => [2,3,1,2]
[(1,4),(2,7),(3,6),(5,8)] => [4,6,7,1,8,3,2,5] => [3,2,1,2]
[(1,5),(2,7),(3,6),(4,8)] => [5,6,7,8,1,3,2,4] => [4,2,2]
[(1,6),(2,7),(3,5),(4,8)] => [5,6,7,8,3,1,2,4] => [4,1,3]
[(1,7),(2,6),(3,5),(4,8)] => [5,6,7,8,3,2,1,4] => [4,1,1,2]
[(1,8),(2,6),(3,5),(4,7)] => [5,6,7,8,3,2,4,1] => [4,1,2,1]
[(1,8),(2,5),(3,6),(4,7)] => [5,6,7,8,2,3,4,1] => [4,3,1]
[(1,7),(2,5),(3,6),(4,8)] => [5,6,7,8,2,3,1,4] => [4,2,2]
[(1,6),(2,5),(3,7),(4,8)] => [5,6,7,8,2,1,3,4] => [4,1,3]
[(1,5),(2,6),(3,7),(4,8)] => [5,6,7,8,1,2,3,4] => [4,4]
[(1,4),(2,6),(3,7),(5,8)] => [4,6,7,1,8,2,3,5] => [3,2,3]
[(1,3),(2,6),(4,7),(5,8)] => [3,6,1,7,8,2,4,5] => [2,3,3]
[(1,2),(3,6),(4,7),(5,8)] => [2,1,6,7,8,3,4,5] => [1,4,3]
[(1,2),(3,5),(4,7),(6,8)] => [2,1,5,7,3,8,4,6] => [1,3,2,2]
[(1,3),(2,5),(4,7),(6,8)] => [3,5,1,7,2,8,4,6] => [2,2,2,2]
[(1,4),(2,5),(3,7),(6,8)] => [4,5,7,1,2,8,3,6] => [3,3,2]
[(1,5),(2,4),(3,7),(6,8)] => [4,5,7,2,1,8,3,6] => [3,1,2,2]
[(1,6),(2,4),(3,7),(5,8)] => [4,6,7,2,8,1,3,5] => [3,2,3]
[(1,7),(2,4),(3,6),(5,8)] => [4,6,7,2,8,3,1,5] => [3,2,1,2]
[(1,8),(2,4),(3,6),(5,7)] => [4,6,7,2,8,3,5,1] => [3,2,2,1]
[(1,8),(2,3),(4,6),(5,7)] => [3,6,2,7,8,4,5,1] => [2,3,2,1]
[(1,7),(2,3),(4,6),(5,8)] => [3,6,2,7,8,4,1,5] => [2,3,1,2]
[(1,6),(2,3),(4,7),(5,8)] => [3,6,2,7,8,1,4,5] => [2,3,3]
[(1,5),(2,3),(4,7),(6,8)] => [3,5,2,7,1,8,4,6] => [2,2,2,2]
[(1,4),(2,3),(5,7),(6,8)] => [3,4,2,1,7,8,5,6] => [2,1,3,2]
[(1,3),(2,4),(5,7),(6,8)] => [3,4,1,2,7,8,5,6] => [2,4,2]
[(1,2),(3,4),(5,7),(6,8)] => [2,1,4,3,7,8,5,6] => [1,2,3,2]
[(1,2),(3,4),(5,8),(6,7)] => [2,1,4,3,7,8,6,5] => [1,2,3,1,1]
[(1,3),(2,4),(5,8),(6,7)] => [3,4,1,2,7,8,6,5] => [2,4,1,1]
[(1,4),(2,3),(5,8),(6,7)] => [3,4,2,1,7,8,6,5] => [2,1,3,1,1]
[(1,5),(2,3),(4,8),(6,7)] => [3,5,2,7,1,8,6,4] => [2,2,2,1,1]
[(1,6),(2,3),(4,8),(5,7)] => [3,6,2,7,8,1,5,4] => [2,3,2,1]
[(1,7),(2,3),(4,8),(5,6)] => [3,6,2,7,8,5,1,4] => [2,3,1,2]
[(1,8),(2,3),(4,7),(5,6)] => [3,6,2,7,8,5,4,1] => [2,3,1,1,1]
[(1,8),(2,4),(3,7),(5,6)] => [4,6,7,2,8,5,3,1] => [3,2,1,1,1]
[(1,7),(2,4),(3,8),(5,6)] => [4,6,7,2,8,5,1,3] => [3,2,1,2]
[(1,6),(2,4),(3,8),(5,7)] => [4,6,7,2,8,1,5,3] => [3,2,2,1]
[(1,5),(2,4),(3,8),(6,7)] => [4,5,7,2,1,8,6,3] => [3,1,2,1,1]
[(1,4),(2,5),(3,8),(6,7)] => [4,5,7,1,2,8,6,3] => [3,3,1,1]
>>> Load all 745 entries. <<<
[(1,3),(2,5),(4,8),(6,7)] => [3,5,1,7,2,8,6,4] => [2,2,2,1,1]
[(1,2),(3,5),(4,8),(6,7)] => [2,1,5,7,3,8,6,4] => [1,3,2,1,1]
[(1,2),(3,6),(4,8),(5,7)] => [2,1,6,7,8,3,5,4] => [1,4,2,1]
[(1,3),(2,6),(4,8),(5,7)] => [3,6,1,7,8,2,5,4] => [2,3,2,1]
[(1,4),(2,6),(3,8),(5,7)] => [4,6,7,1,8,2,5,3] => [3,2,2,1]
[(1,5),(2,6),(3,8),(4,7)] => [5,6,7,8,1,2,4,3] => [4,3,1]
[(1,6),(2,5),(3,8),(4,7)] => [5,6,7,8,2,1,4,3] => [4,1,2,1]
[(1,7),(2,5),(3,8),(4,6)] => [5,6,7,8,2,4,1,3] => [4,2,2]
[(1,8),(2,5),(3,7),(4,6)] => [5,6,7,8,2,4,3,1] => [4,2,1,1]
[(1,8),(2,6),(3,7),(4,5)] => [5,6,7,8,4,2,3,1] => [4,1,2,1]
[(1,7),(2,6),(3,8),(4,5)] => [5,6,7,8,4,2,1,3] => [4,1,1,2]
[(1,6),(2,7),(3,8),(4,5)] => [5,6,7,8,4,1,2,3] => [4,1,3]
[(1,5),(2,7),(3,8),(4,6)] => [5,6,7,8,1,4,2,3] => [4,2,2]
[(1,4),(2,7),(3,8),(5,6)] => [4,6,7,1,8,5,2,3] => [3,2,1,2]
[(1,3),(2,7),(4,8),(5,6)] => [3,6,1,7,8,5,2,4] => [2,3,1,2]
[(1,2),(3,7),(4,8),(5,6)] => [2,1,6,7,8,5,3,4] => [1,4,1,2]
[(1,2),(3,8),(4,7),(5,6)] => [2,1,6,7,8,5,4,3] => [1,4,1,1,1]
[(1,3),(2,8),(4,7),(5,6)] => [3,6,1,7,8,5,4,2] => [2,3,1,1,1]
[(1,4),(2,8),(3,7),(5,6)] => [4,6,7,1,8,5,3,2] => [3,2,1,1,1]
[(1,5),(2,8),(3,7),(4,6)] => [5,6,7,8,1,4,3,2] => [4,2,1,1]
[(1,6),(2,8),(3,7),(4,5)] => [5,6,7,8,4,1,3,2] => [4,1,2,1]
[(1,7),(2,8),(3,6),(4,5)] => [5,6,7,8,4,3,1,2] => [4,1,1,2]
[(1,8),(2,7),(3,6),(4,5)] => [5,6,7,8,4,3,2,1] => [4,1,1,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10)] => [2,1,4,3,6,5,8,7,10,9] => [1,2,2,2,2,1]
[(1,3),(2,4),(5,6),(7,8),(9,10)] => [3,4,1,2,6,5,8,7,10,9] => [2,3,2,2,1]
[(1,4),(2,3),(5,6),(7,8),(9,10)] => [3,4,2,1,6,5,8,7,10,9] => [2,1,2,2,2,1]
[(1,6),(2,3),(4,5),(7,8),(9,10)] => [3,5,2,6,4,1,8,7,10,9] => [2,2,1,2,2,1]
[(1,8),(2,3),(4,5),(6,7),(9,10)] => [3,5,2,7,4,8,6,1,10,9] => [2,2,2,1,2,1]
[(1,10),(2,3),(4,5),(6,7),(8,9)] => [3,5,2,7,4,9,6,10,8,1] => [2,2,2,2,1,1]
[(1,4),(2,5),(3,6),(7,8),(9,10)] => [4,5,6,1,2,3,8,7,10,9] => [3,4,2,1]
[(1,3),(2,5),(4,6),(7,8),(9,10)] => [3,5,1,6,2,4,8,7,10,9] => [2,2,3,2,1]
[(1,2),(3,5),(4,6),(7,8),(9,10)] => [2,1,5,6,3,4,8,7,10,9] => [1,3,3,2,1]
[(1,2),(3,6),(4,5),(7,8),(9,10)] => [2,1,5,6,4,3,8,7,10,9] => [1,3,1,2,2,1]
[(1,6),(2,5),(3,4),(7,8),(9,10)] => [4,5,6,3,2,1,8,7,10,9] => [3,1,1,2,2,1]
[(1,8),(2,5),(3,4),(6,7),(9,10)] => [4,5,7,3,2,8,6,1,10,9] => [3,1,2,1,2,1]
[(1,10),(2,5),(3,4),(6,7),(8,9)] => [4,5,7,3,2,9,6,10,8,1] => [3,1,2,2,1,1]
[(1,2),(3,8),(4,5),(6,7),(9,10)] => [2,1,5,7,4,8,6,3,10,9] => [1,3,2,1,2,1]
[(1,8),(2,7),(3,4),(5,6),(9,10)] => [4,6,7,3,8,5,2,1,10,9] => [3,2,1,1,2,1]
[(1,10),(2,7),(3,4),(5,6),(8,9)] => [4,6,7,3,9,5,2,10,8,1] => [3,2,1,2,1,1]
[(1,2),(3,10),(4,5),(6,7),(8,9)] => [2,1,5,7,4,9,6,10,8,3] => [1,3,2,2,1,1]
[(1,10),(2,9),(3,4),(5,6),(7,8)] => [4,6,8,3,9,5,10,7,2,1] => [3,2,2,1,1,1]
[(1,5),(2,6),(3,7),(4,8),(9,10)] => [5,6,7,8,1,2,3,4,10,9] => [4,5,1]
[(1,4),(2,6),(3,7),(5,8),(9,10)] => [4,6,7,1,8,2,3,5,10,9] => [3,2,4,1]
[(1,3),(2,6),(4,7),(5,8),(9,10)] => [3,6,1,7,8,2,4,5,10,9] => [2,3,4,1]
[(1,2),(3,6),(4,7),(5,8),(9,10)] => [2,1,6,7,8,3,4,5,10,9] => [1,4,4,1]
[(1,2),(3,5),(4,7),(6,8),(9,10)] => [2,1,5,7,3,8,4,6,10,9] => [1,3,2,3,1]
[(1,3),(2,5),(4,7),(6,8),(9,10)] => [3,5,1,7,2,8,4,6,10,9] => [2,2,2,3,1]
[(1,4),(2,5),(3,7),(6,8),(9,10)] => [4,5,7,1,2,8,3,6,10,9] => [3,3,3,1]
[(1,3),(2,4),(5,7),(6,8),(9,10)] => [3,4,1,2,7,8,5,6,10,9] => [2,4,3,1]
[(1,2),(3,4),(5,7),(6,8),(9,10)] => [2,1,4,3,7,8,5,6,10,9] => [1,2,3,3,1]
[(1,2),(3,4),(5,8),(6,7),(9,10)] => [2,1,4,3,7,8,6,5,10,9] => [1,2,3,1,2,1]
[(1,4),(2,3),(5,8),(6,7),(9,10)] => [3,4,2,1,7,8,6,5,10,9] => [2,1,3,1,2,1]
[(1,8),(2,3),(4,7),(5,6),(9,10)] => [3,6,2,7,8,5,4,1,10,9] => [2,3,1,1,2,1]
[(1,10),(2,3),(4,7),(5,6),(8,9)] => [3,6,2,7,9,5,4,10,8,1] => [2,3,1,2,1,1]
[(1,2),(3,8),(4,7),(5,6),(9,10)] => [2,1,6,7,8,5,4,3,10,9] => [1,4,1,1,2,1]
[(1,8),(2,7),(3,6),(4,5),(9,10)] => [5,6,7,8,4,3,2,1,10,9] => [4,1,1,1,2,1]
[(1,10),(2,7),(3,6),(4,5),(8,9)] => [5,6,7,9,4,3,2,10,8,1] => [4,1,1,2,1,1]
[(1,2),(3,10),(4,7),(5,6),(8,9)] => [2,1,6,7,9,5,4,10,8,3] => [1,4,1,2,1,1]
[(1,10),(2,9),(3,6),(4,5),(7,8)] => [5,6,8,9,4,3,10,7,2,1] => [4,1,2,1,1,1]
[(1,2),(3,4),(5,10),(6,7),(8,9)] => [2,1,4,3,7,9,6,10,8,5] => [1,2,3,2,1,1]
[(1,4),(2,3),(5,10),(6,7),(8,9)] => [3,4,2,1,7,9,6,10,8,5] => [2,1,3,2,1,1]
[(1,10),(2,3),(4,9),(5,6),(7,8)] => [3,6,2,8,9,5,10,7,4,1] => [2,3,2,1,1,1]
[(1,2),(3,10),(4,9),(5,6),(7,8)] => [2,1,6,8,9,5,10,7,4,3] => [1,4,2,1,1,1]
[(1,10),(2,9),(3,8),(4,5),(6,7)] => [5,7,8,9,4,10,6,3,2,1] => [4,2,1,1,1,1]
[(1,10),(2,9),(3,8),(4,6),(5,7)] => [6,7,8,9,10,4,5,3,2,1] => [5,2,1,1,1]
[(1,6),(2,10),(3,9),(4,7),(5,8)] => [6,7,8,9,10,1,4,5,3,2] => [5,3,1,1]
[(1,6),(2,9),(3,10),(4,7),(5,8)] => [6,7,8,9,10,1,4,5,2,3] => [5,3,2]
[(1,10),(2,8),(3,9),(4,6),(5,7)] => [6,7,8,9,10,4,5,2,3,1] => [5,2,2,1]
[(1,9),(2,8),(3,7),(4,6),(5,10)] => [6,7,8,9,10,4,3,2,1,5] => [5,1,1,1,2]
[(1,10),(2,9),(3,6),(4,7),(5,8)] => [6,7,8,9,10,3,4,5,2,1] => [5,3,1,1]
[(1,9),(2,10),(3,6),(4,7),(5,8)] => [6,7,8,9,10,3,4,5,1,2] => [5,3,2]
[(1,6),(2,10),(3,7),(4,8),(5,9)] => [6,7,8,9,10,1,3,4,5,2] => [5,4,1]
[(1,8),(2,9),(3,6),(4,7),(5,10)] => [6,7,8,9,10,3,4,1,2,5] => [5,2,3]
[(1,9),(2,8),(3,6),(4,7),(5,10)] => [6,7,8,9,10,3,4,2,1,5] => [5,2,1,2]
[(1,2),(3,7),(4,8),(5,9),(6,10)] => [2,1,7,8,9,10,3,4,5,6] => [1,5,4]
[(1,3),(2,7),(4,8),(5,9),(6,10)] => [3,7,1,8,9,10,2,4,5,6] => [2,4,4]
[(1,4),(2,7),(3,8),(5,9),(6,10)] => [4,7,8,1,9,10,2,3,5,6] => [3,3,4]
[(1,5),(2,7),(3,8),(4,9),(6,10)] => [5,7,8,9,1,10,2,3,4,6] => [4,2,4]
[(1,6),(2,7),(3,8),(4,9),(5,10)] => [6,7,8,9,10,1,2,3,4,5] => [5,5]
[(1,9),(2,6),(3,7),(4,8),(5,10)] => [6,7,8,9,10,2,3,4,1,5] => [5,3,2]
[(1,10),(2,6),(3,7),(4,8),(5,9)] => [6,7,8,9,10,2,3,4,5,1] => [5,4,1]
[(1,5),(2,6),(3,8),(4,9),(7,10)] => [5,6,8,9,1,2,10,3,4,7] => [4,3,3]
[(1,4),(2,6),(3,8),(5,9),(7,10)] => [4,6,8,1,9,2,10,3,5,7] => [3,2,2,3]
[(1,3),(2,6),(4,8),(5,9),(7,10)] => [3,6,1,8,9,2,10,4,5,7] => [2,3,2,3]
[(1,2),(3,6),(4,8),(5,9),(7,10)] => [2,1,6,8,9,3,10,4,5,7] => [1,4,2,3]
[(1,2),(3,5),(4,8),(6,9),(7,10)] => [2,1,5,8,3,9,10,4,6,7] => [1,3,3,3]
[(1,3),(2,5),(4,8),(6,9),(7,10)] => [3,5,1,8,2,9,10,4,6,7] => [2,2,3,3]
[(1,4),(2,5),(3,8),(6,9),(7,10)] => [4,5,8,1,2,9,10,3,6,7] => [3,4,3]
[(1,3),(2,4),(5,8),(6,9),(7,10)] => [3,4,1,2,8,9,10,5,6,7] => [2,5,3]
[(1,2),(3,4),(5,8),(6,9),(7,10)] => [2,1,4,3,8,9,10,5,6,7] => [1,2,4,3]
[(1,2),(3,4),(5,7),(6,9),(8,10)] => [2,1,4,3,7,9,5,10,6,8] => [1,2,3,2,2]
[(1,3),(2,4),(5,7),(6,9),(8,10)] => [3,4,1,2,7,9,5,10,6,8] => [2,4,2,2]
[(1,4),(2,5),(3,7),(6,9),(8,10)] => [4,5,7,1,2,9,3,10,6,8] => [3,3,2,2]
[(1,3),(2,5),(4,7),(6,9),(8,10)] => [3,5,1,7,2,9,4,10,6,8] => [2,2,2,2,2]
[(1,2),(3,5),(4,7),(6,9),(8,10)] => [2,1,5,7,3,9,4,10,6,8] => [1,3,2,2,2]
[(1,2),(3,6),(4,7),(5,9),(8,10)] => [2,1,6,7,9,3,4,10,5,8] => [1,4,3,2]
[(1,3),(2,6),(4,7),(5,9),(8,10)] => [3,6,1,7,9,2,4,10,5,8] => [2,3,3,2]
[(1,4),(2,6),(3,7),(5,9),(8,10)] => [4,6,7,1,9,2,3,10,5,8] => [3,2,3,2]
[(1,5),(2,6),(3,7),(4,9),(8,10)] => [5,6,7,9,1,2,3,10,4,8] => [4,4,2]
[(1,2),(3,5),(4,6),(7,9),(8,10)] => [2,1,5,6,3,4,9,10,7,8] => [1,3,4,2]
[(1,3),(2,5),(4,6),(7,9),(8,10)] => [3,5,1,6,2,4,9,10,7,8] => [2,2,4,2]
[(1,4),(2,5),(3,6),(7,9),(8,10)] => [4,5,6,1,2,3,9,10,7,8] => [3,5,2]
[(1,3),(2,4),(5,6),(7,9),(8,10)] => [3,4,1,2,6,5,9,10,7,8] => [2,3,3,2]
[(1,2),(3,4),(5,6),(7,9),(8,10)] => [2,1,4,3,6,5,9,10,7,8] => [1,2,2,3,2]
[(1,2),(3,4),(5,6),(7,10),(8,9)] => [2,1,4,3,6,5,9,10,8,7] => [1,2,2,3,1,1]
[(1,4),(2,3),(5,6),(7,10),(8,9)] => [3,4,2,1,6,5,9,10,8,7] => [2,1,2,3,1,1]
[(1,6),(2,3),(4,5),(7,10),(8,9)] => [3,5,2,6,4,1,9,10,8,7] => [2,2,1,3,1,1]
[(1,10),(2,3),(4,5),(6,9),(7,8)] => [3,5,2,8,4,9,10,7,6,1] => [2,2,3,1,1,1]
[(1,2),(3,6),(4,5),(7,10),(8,9)] => [2,1,5,6,4,3,9,10,8,7] => [1,3,1,3,1,1]
[(1,6),(2,5),(3,4),(7,10),(8,9)] => [4,5,6,3,2,1,9,10,8,7] => [3,1,1,3,1,1]
[(1,10),(2,5),(3,4),(6,9),(7,8)] => [4,5,8,3,2,9,10,7,6,1] => [3,1,3,1,1,1]
[(1,2),(3,10),(4,5),(6,9),(7,8)] => [2,1,5,8,4,9,10,7,6,3] => [1,3,3,1,1,1]
[(1,10),(2,9),(3,4),(5,8),(6,7)] => [4,7,8,3,9,10,6,5,2,1] => [3,3,1,1,1,1]
[(1,6),(2,7),(3,8),(4,10),(5,9)] => [6,7,8,9,10,1,2,3,5,4] => [5,4,1]
[(1,6),(2,8),(3,7),(4,10),(5,9)] => [6,7,8,9,10,1,3,2,5,4] => [5,2,2,1]
[(1,2),(3,4),(5,10),(6,9),(7,8)] => [2,1,4,3,8,9,10,7,6,5] => [1,2,4,1,1,1]
[(1,4),(2,3),(5,10),(6,9),(7,8)] => [3,4,2,1,8,9,10,7,6,5] => [2,1,4,1,1,1]
[(1,10),(2,3),(4,9),(5,8),(6,7)] => [3,7,2,8,9,10,6,5,4,1] => [2,4,1,1,1,1]
[(1,7),(2,6),(3,10),(4,9),(5,8)] => [6,7,8,9,10,2,1,5,4,3] => [5,1,2,1,1]
[(1,6),(2,7),(3,10),(4,9),(5,8)] => [6,7,8,9,10,1,2,5,4,3] => [5,3,1,1]
[(1,2),(3,10),(4,9),(5,8),(6,7)] => [2,1,7,8,9,10,6,5,4,3] => [1,5,1,1,1,1]
[(1,6),(2,10),(3,9),(4,8),(5,7)] => [6,7,8,9,10,1,5,4,3,2] => [5,2,1,1,1]
[(1,10),(2,9),(3,8),(4,7),(5,6)] => [6,7,8,9,10,5,4,3,2,1] => [5,1,1,1,1,1]
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [7,8,9,10,11,12,6,5,4,3,2,1] => [6,1,1,1,1,1,1]
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [2,1,7,8,9,10,6,5,4,3,12,11] => [1,5,1,1,1,2,1]
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [3,7,2,8,9,11,6,5,4,12,10,1] => [2,4,1,1,2,1,1]
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [2,1,7,8,9,11,6,5,4,12,10,3] => [1,5,1,1,2,1,1]
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [3,7,2,8,9,10,6,5,4,1,12,11] => [2,4,1,1,1,2,1]
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [4,7,8,3,10,11,6,5,12,9,2,1] => [3,3,1,2,1,1,1]
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [2,1,4,3,7,8,6,5,10,9,12,11] => [1,2,3,1,2,2,1]
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [3,7,2,8,10,11,6,5,12,9,4,1] => [2,4,1,2,1,1,1]
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [2,1,7,8,10,11,6,5,12,9,4,3] => [1,5,1,2,1,1,1]
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [3,4,2,1,7,8,6,5,10,9,12,11] => [2,1,3,1,2,2,1]
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [4,7,8,3,9,11,6,5,2,12,10,1] => [3,3,1,1,2,1,1]
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [2,1,4,3,7,8,6,5,11,12,10,9] => [1,2,3,1,3,1,1]
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [4,7,8,3,9,10,6,5,2,1,12,11] => [3,3,1,1,1,2,1]
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [3,4,2,1,7,8,6,5,11,12,10,9] => [2,1,3,1,3,1,1]
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [5,7,9,10,4,11,6,12,8,3,2,1] => [4,2,2,1,1,1,1]
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [2,1,5,7,4,9,6,10,8,3,12,11] => [1,3,2,2,1,2,1]
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [3,5,2,7,4,9,6,11,8,12,10,1] => [2,2,2,2,2,1,1]
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [2,1,5,7,4,9,6,11,8,12,10,3] => [1,3,2,2,2,1,1]
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [3,5,2,7,4,9,6,10,8,1,12,11] => [2,2,2,2,1,2,1]
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [4,7,9,3,10,11,6,12,8,5,2,1] => [3,3,2,1,1,1,1]
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [2,1,4,3,7,9,6,10,8,5,12,11] => [1,2,3,2,1,2,1]
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [3,7,2,9,10,11,6,12,8,5,4,1] => [2,4,2,1,1,1,1]
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [2,1,7,9,10,11,6,12,8,5,4,3] => [1,5,2,1,1,1,1]
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [3,4,2,1,7,9,6,10,8,5,12,11] => [2,1,3,2,1,2,1]
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [4,5,7,3,2,9,6,11,8,12,10,1] => [3,1,2,2,2,1,1]
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [2,1,4,3,7,9,6,11,8,12,10,5] => [1,2,3,2,2,1,1]
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [4,5,7,3,2,9,6,10,8,1,12,11] => [3,1,2,2,1,2,1]
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [3,4,2,1,7,9,6,11,8,12,10,5] => [2,1,3,2,2,1,1]
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [5,7,8,10,4,11,6,3,12,9,2,1] => [4,2,1,2,1,1,1]
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [2,1,5,7,4,8,6,3,10,9,12,11] => [1,3,2,1,2,2,1]
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [3,5,2,7,4,10,6,11,12,9,8,1] => [2,2,2,3,1,1,1]
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [2,1,5,7,4,10,6,11,12,9,8,3] => [1,3,2,3,1,1,1]
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [3,5,2,7,4,8,6,1,10,9,12,11] => [2,2,2,1,2,2,1]
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [5,7,8,9,4,11,6,3,2,12,10,1] => [4,2,1,1,2,1,1]
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [2,1,5,7,4,8,6,3,11,12,10,9] => [1,3,2,1,3,1,1]
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [5,7,8,9,4,10,6,3,2,1,12,11] => [4,2,1,1,1,2,1]
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [3,5,2,7,4,8,6,1,11,12,10,9] => [2,2,2,1,3,1,1]
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [4,5,7,3,2,10,6,11,12,9,8,1] => [3,1,2,3,1,1,1]
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [2,1,4,3,7,10,6,11,12,9,8,5] => [1,2,3,3,1,1,1]
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [4,5,7,3,2,8,6,1,10,9,12,11] => [3,1,2,1,2,2,1]
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [3,4,2,1,7,10,6,11,12,9,8,5] => [2,1,3,3,1,1,1]
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [4,5,7,3,2,8,6,1,11,12,10,9] => [3,1,2,1,3,1,1]
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [6,8,9,10,11,5,12,7,4,3,2,1] => [5,2,1,1,1,1,1]
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [2,1,6,8,9,5,10,7,4,3,12,11] => [1,4,2,1,1,2,1]
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [3,6,2,8,9,5,11,7,4,12,10,1] => [2,3,2,1,2,1,1]
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [2,1,6,8,9,5,11,7,4,12,10,3] => [1,4,2,1,2,1,1]
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [3,6,2,8,9,5,10,7,4,1,12,11] => [2,3,2,1,1,2,1]
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [4,6,8,3,10,5,11,7,12,9,2,1] => [3,2,2,2,1,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [2,1,4,3,6,5,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [3,6,2,8,10,5,11,7,12,9,4,1] => [2,3,2,2,1,1,1]
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [2,1,6,8,10,5,11,7,12,9,4,3] => [1,4,2,2,1,1,1]
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [3,4,2,1,6,5,8,7,10,9,12,11] => [2,1,2,2,2,2,1]
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [4,6,8,3,9,5,11,7,2,12,10,1] => [3,2,2,1,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [2,1,4,3,6,5,8,7,11,12,10,9] => [1,2,2,2,3,1,1]
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [4,6,8,3,9,5,10,7,2,1,12,11] => [3,2,2,1,1,2,1]
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [3,4,2,1,6,5,8,7,11,12,10,9] => [2,1,2,2,3,1,1]
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [5,8,9,10,4,11,12,7,6,3,2,1] => [4,3,1,1,1,1,1]
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [2,1,5,8,4,9,10,7,6,3,12,11] => [1,3,3,1,1,2,1]
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [3,5,2,8,4,9,11,7,6,12,10,1] => [2,2,3,1,2,1,1]
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [2,1,5,8,4,9,11,7,6,12,10,3] => [1,3,3,1,2,1,1]
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [3,5,2,8,4,9,10,7,6,1,12,11] => [2,2,3,1,1,2,1]
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [4,8,9,3,10,11,12,7,6,5,2,1] => [3,4,1,1,1,1,1]
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [2,1,4,3,8,9,10,7,6,5,12,11] => [1,2,4,1,1,2,1]
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [3,8,2,9,10,11,12,7,6,5,4,1] => [2,5,1,1,1,1,1]
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [2,1,8,9,10,11,12,7,6,5,4,3] => [1,6,1,1,1,1,1]
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [3,4,2,1,8,9,10,7,6,5,12,11] => [2,1,4,1,1,2,1]
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [4,5,8,3,2,9,11,7,6,12,10,1] => [3,1,3,1,2,1,1]
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [2,1,4,3,8,9,11,7,6,12,10,5] => [1,2,4,1,2,1,1]
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [4,5,8,3,2,9,10,7,6,1,12,11] => [3,1,3,1,1,2,1]
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [3,4,2,1,8,9,11,7,6,12,10,5] => [2,1,4,1,2,1,1]
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [5,6,8,10,4,3,11,7,12,9,2,1] => [4,1,2,2,1,1,1]
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [2,1,5,6,4,3,8,7,10,9,12,11] => [1,3,1,2,2,2,1]
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [3,5,2,8,4,10,11,7,12,9,6,1] => [2,2,3,2,1,1,1]
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [2,1,5,8,4,10,11,7,12,9,6,3] => [1,3,3,2,1,1,1]
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [3,5,2,6,4,1,8,7,10,9,12,11] => [2,2,1,2,2,2,1]
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [5,6,8,9,4,3,11,7,2,12,10,1] => [4,1,2,1,2,1,1]
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [2,1,5,6,4,3,8,7,11,12,10,9] => [1,3,1,2,3,1,1]
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [5,6,8,9,4,3,10,7,2,1,12,11] => [4,1,2,1,1,2,1]
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [3,5,2,6,4,1,8,7,11,12,10,9] => [2,2,1,2,3,1,1]
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [4,5,8,3,2,10,11,7,12,9,6,1] => [3,1,3,2,1,1,1]
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [2,1,4,3,8,10,11,7,12,9,6,5] => [1,2,4,2,1,1,1]
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [4,5,6,3,2,1,8,7,10,9,12,11] => [3,1,1,2,2,2,1]
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [3,4,2,1,8,10,11,7,12,9,6,5] => [2,1,4,2,1,1,1]
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [4,5,6,3,2,1,8,7,11,12,10,9] => [3,1,1,2,3,1,1]
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [6,7,9,10,11,5,4,12,8,3,2,1] => [5,1,2,1,1,1,1]
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [2,1,6,7,9,5,4,10,8,3,12,11] => [1,4,1,2,1,2,1]
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [3,6,2,7,9,5,4,11,8,12,10,1] => [2,3,1,2,2,1,1]
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [2,1,6,7,9,5,4,11,8,12,10,3] => [1,4,1,2,2,1,1]
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [3,6,2,7,9,5,4,10,8,1,12,11] => [2,3,1,2,1,2,1]
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [4,6,9,3,10,5,11,12,8,7,2,1] => [3,2,3,1,1,1,1]
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [2,1,4,3,6,5,9,10,8,7,12,11] => [1,2,2,3,1,2,1]
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [3,6,2,9,10,5,11,12,8,7,4,1] => [2,3,3,1,1,1,1]
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [2,1,6,9,10,5,11,12,8,7,4,3] => [1,4,3,1,1,1,1]
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [3,4,2,1,6,5,9,10,8,7,12,11] => [2,1,2,3,1,2,1]
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [4,6,7,3,9,5,2,11,8,12,10,1] => [3,2,1,2,2,1,1]
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [2,1,4,3,6,5,9,11,8,12,10,7] => [1,2,2,3,2,1,1]
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [4,6,7,3,9,5,2,10,8,1,12,11] => [3,2,1,2,1,2,1]
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [3,4,2,1,6,5,9,11,8,12,10,7] => [2,1,2,3,2,1,1]
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [6,7,8,10,11,5,4,3,12,9,2,1] => [5,1,1,2,1,1,1]
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [2,1,6,7,8,5,4,3,10,9,12,11] => [1,4,1,1,2,2,1]
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [3,6,2,7,10,5,4,11,12,9,8,1] => [2,3,1,3,1,1,1]
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [2,1,6,7,10,5,4,11,12,9,8,3] => [1,4,1,3,1,1,1]
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [3,6,2,7,8,5,4,1,10,9,12,11] => [2,3,1,1,2,2,1]
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [6,7,8,9,11,5,4,3,2,12,10,1] => [5,1,1,1,2,1,1]
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [2,1,6,7,8,5,4,3,11,12,10,9] => [1,4,1,1,3,1,1]
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [6,7,8,9,10,5,4,3,2,1,12,11] => [5,1,1,1,1,2,1]
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [3,6,2,7,8,5,4,1,11,12,10,9] => [2,3,1,1,3,1,1]
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [4,6,7,3,10,5,2,11,12,9,8,1] => [3,2,1,3,1,1,1]
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [2,1,4,3,6,5,10,11,12,9,8,7] => [1,2,2,4,1,1,1]
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [4,6,7,3,8,5,2,1,10,9,12,11] => [3,2,1,1,2,2,1]
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [3,4,2,1,6,5,10,11,12,9,8,7] => [2,1,2,4,1,1,1]
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [4,6,7,3,8,5,2,1,11,12,10,9] => [3,2,1,1,3,1,1]
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [5,6,9,10,4,3,11,12,8,7,2,1] => [4,1,3,1,1,1,1]
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [2,1,5,6,4,3,9,10,8,7,12,11] => [1,3,1,3,1,2,1]
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [3,5,2,9,4,10,11,12,8,7,6,1] => [2,2,4,1,1,1,1]
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [2,1,5,9,4,10,11,12,8,7,6,3] => [1,3,4,1,1,1,1]
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [3,5,2,6,4,1,9,10,8,7,12,11] => [2,2,1,3,1,2,1]
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [5,6,7,9,4,3,2,11,8,12,10,1] => [4,1,1,2,2,1,1]
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [2,1,5,6,4,3,9,11,8,12,10,7] => [1,3,1,3,2,1,1]
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [5,6,7,9,4,3,2,10,8,1,12,11] => [4,1,1,2,1,2,1]
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [3,5,2,6,4,1,9,11,8,12,10,7] => [2,2,1,3,2,1,1]
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [4,5,9,3,2,10,11,12,8,7,6,1] => [3,1,4,1,1,1,1]
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [2,1,4,3,9,10,11,12,8,7,6,5] => [1,2,5,1,1,1,1]
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [4,5,6,3,2,1,9,10,8,7,12,11] => [3,1,1,3,1,2,1]
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [3,4,2,1,9,10,11,12,8,7,6,5] => [2,1,5,1,1,1,1]
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [4,5,6,3,2,1,9,11,8,12,10,7] => [3,1,1,3,2,1,1]
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [5,6,7,10,4,3,2,11,12,9,8,1] => [4,1,1,3,1,1,1]
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [2,1,5,6,4,3,10,11,12,9,8,7] => [1,3,1,4,1,1,1]
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [5,6,7,8,4,3,2,1,10,9,12,11] => [4,1,1,1,2,2,1]
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [3,5,2,6,4,1,10,11,12,9,8,7] => [2,2,1,4,1,1,1]
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [5,6,7,8,4,3,2,1,11,12,10,9] => [4,1,1,1,3,1,1]
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [4,5,6,3,2,1,10,11,12,9,8,7] => [3,1,1,4,1,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13] => [1,2,2,2,2,2,2,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13)] => [2,1,4,3,6,5,8,7,10,9,13,14,12,11] => [1,2,2,2,2,3,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13)] => [2,1,4,3,6,5,8,7,11,13,10,14,12,9] => [1,2,2,2,3,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12)] => [2,1,4,3,6,5,8,7,12,13,14,11,10,9] => [1,2,2,2,4,1,1,1]
[(1,2),(3,4),(5,6),(7,14),(8,9),(10,11),(12,13)] => [2,1,4,3,6,5,9,11,8,13,10,14,12,7] => [1,2,2,3,2,2,1,1]
[(1,2),(3,4),(5,6),(7,14),(8,11),(9,10),(12,13)] => [2,1,4,3,6,5,10,11,13,9,8,14,12,7] => [1,2,2,4,1,2,1,1]
[(1,2),(3,4),(5,6),(7,14),(8,13),(9,10),(11,12)] => [2,1,4,3,6,5,10,12,13,9,14,11,8,7] => [1,2,2,4,2,1,1,1]
[(1,2),(3,4),(5,6),(7,14),(8,13),(9,12),(10,11)] => [2,1,4,3,6,5,11,12,13,14,10,9,8,7] => [1,2,2,5,1,1,1,1]
[(1,2),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13)] => [2,1,4,3,7,9,6,11,8,13,10,14,12,5] => [1,2,3,2,2,2,1,1]
[(1,2),(3,4),(5,14),(6,9),(7,8),(10,11),(12,13)] => [2,1,4,3,8,9,11,7,6,13,10,14,12,5] => [1,2,4,1,2,2,1,1]
[(1,2),(3,4),(5,14),(6,11),(7,8),(9,10),(12,13)] => [2,1,4,3,8,10,11,7,13,9,6,14,12,5] => [1,2,4,2,1,2,1,1]
[(1,2),(3,4),(5,14),(6,13),(7,8),(9,10),(11,12)] => [2,1,4,3,8,10,12,7,13,9,14,11,6,5] => [1,2,4,2,2,1,1,1]
[(1,2),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11)] => [2,1,4,3,8,11,12,7,13,14,10,9,6,5] => [1,2,4,3,1,1,1,1]
[(1,2),(3,4),(5,14),(6,11),(7,10),(8,9),(12,13)] => [2,1,4,3,9,10,11,13,8,7,6,14,12,5] => [1,2,5,1,1,2,1,1]
[(1,2),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11)] => [2,1,4,3,9,11,12,13,8,14,10,7,6,5] => [1,2,5,2,1,1,1,1]
[(1,2),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13)] => [2,1,5,7,4,9,6,11,8,13,10,14,12,3] => [1,3,2,2,2,2,1,1]
[(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)] => [2,1,5,10,4,11,12,13,14,9,8,7,6,3] => [1,3,5,1,1,1,1,1]
[(1,2),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13)] => [2,1,6,7,9,5,4,11,8,13,10,14,12,3] => [1,4,1,2,2,2,1,1]
[(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13)] => [2,1,6,8,9,5,11,7,4,13,10,14,12,3] => [1,4,2,1,2,2,1,1]
[(1,2),(3,14),(4,11),(5,6),(7,8),(9,10),(12,13)] => [2,1,6,8,10,5,11,7,13,9,4,14,12,3] => [1,4,2,2,1,2,1,1]
[(1,2),(3,14),(4,11),(5,6),(7,10),(8,9),(12,13)] => [2,1,6,9,10,5,11,13,8,7,4,14,12,3] => [1,4,3,1,1,2,1,1]
[(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)] => [2,1,6,9,11,5,12,13,8,14,10,7,4,3] => [1,4,3,2,1,1,1,1]
[(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)] => [2,1,6,10,11,5,12,13,14,9,8,7,4,3] => [1,4,4,1,1,1,1,1]
[(1,2),(3,14),(4,9),(5,8),(6,7),(10,11),(12,13)] => [2,1,7,8,9,11,6,5,4,13,10,14,12,3] => [1,5,1,1,2,2,1,1]
[(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)] => [2,1,7,8,11,12,6,5,13,14,10,9,4,3] => [1,5,1,3,1,1,1,1]
[(1,2),(3,14),(4,11),(5,10),(6,7),(8,9),(12,13)] => [2,1,7,9,10,11,6,13,8,5,4,14,12,3] => [1,5,2,1,1,2,1,1]
[(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)] => [2,1,7,9,10,12,6,13,8,5,14,11,4,3] => [1,5,2,1,2,1,1,1]
[(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)] => [2,1,7,9,11,12,6,13,8,14,10,5,4,3] => [1,5,2,2,1,1,1,1]
[(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)] => [2,1,7,10,11,12,6,13,14,9,8,5,4,3] => [1,5,3,1,1,1,1,1]
[(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)] => [2,1,8,9,10,11,13,7,6,5,4,14,12,3] => [1,6,1,1,1,2,1,1]
[(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)] => [2,1,8,9,10,12,13,7,6,5,14,11,4,3] => [1,6,1,1,2,1,1,1]
[(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)] => [2,1,8,9,11,12,13,7,6,14,10,5,4,3] => [1,6,1,2,1,1,1,1]
[(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)] => [2,1,8,10,11,12,13,7,14,9,6,5,4,3] => [1,6,2,1,1,1,1,1]
[(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)] => [2,1,9,10,11,12,13,14,8,7,6,5,4,3] => [1,7,1,1,1,1,1,1]
[(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)] => [3,4,2,1,10,11,12,13,14,9,8,7,6,5] => [2,1,6,1,1,1,1,1]
[(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)] => [3,5,2,7,4,9,6,11,8,13,10,14,12,1] => [2,2,2,2,2,2,1,1]
[(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12)] => [3,5,2,7,4,9,6,12,8,13,14,11,10,1] => [2,2,2,2,3,1,1,1]
[(1,14),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13)] => [3,5,2,7,4,10,6,11,13,9,8,14,12,1] => [2,2,2,3,1,2,1,1]
[(1,14),(2,3),(4,5),(6,7),(8,13),(9,10),(11,12)] => [3,5,2,7,4,10,6,12,13,9,14,11,8,1] => [2,2,2,3,2,1,1,1]
[(1,14),(2,3),(4,5),(6,7),(8,13),(9,12),(10,11)] => [3,5,2,7,4,11,6,12,13,14,10,9,8,1] => [2,2,2,4,1,1,1,1]
[(1,14),(2,3),(4,5),(6,9),(7,8),(10,11),(12,13)] => [3,5,2,8,4,9,11,7,6,13,10,14,12,1] => [2,2,3,1,2,2,1,1]
[(1,14),(2,3),(4,5),(6,9),(7,8),(10,13),(11,12)] => [3,5,2,8,4,9,12,7,6,13,14,11,10,1] => [2,2,3,1,3,1,1,1]
[(1,14),(2,3),(4,5),(6,11),(7,8),(9,10),(12,13)] => [3,5,2,8,4,10,11,7,13,9,6,14,12,1] => [2,2,3,2,1,2,1,1]
[(1,14),(2,3),(4,5),(6,13),(7,8),(9,10),(11,12)] => [3,5,2,8,4,10,12,7,13,9,14,11,6,1] => [2,2,3,2,2,1,1,1]
[(1,14),(2,3),(4,5),(6,13),(7,8),(9,12),(10,11)] => [3,5,2,8,4,11,12,7,13,14,10,9,6,1] => [2,2,3,3,1,1,1,1]
[(1,14),(2,3),(4,5),(6,11),(7,10),(8,9),(12,13)] => [3,5,2,9,4,10,11,13,8,7,6,14,12,1] => [2,2,4,1,1,2,1,1]
[(1,14),(2,3),(4,5),(6,13),(7,10),(8,9),(11,12)] => [3,5,2,9,4,10,12,13,8,7,14,11,6,1] => [2,2,4,1,2,1,1,1]
[(1,14),(2,3),(4,5),(6,13),(7,12),(8,9),(10,11)] => [3,5,2,9,4,11,12,13,8,14,10,7,6,1] => [2,2,4,2,1,1,1,1]
[(1,14),(2,3),(4,5),(6,13),(7,12),(8,11),(9,10)] => [3,5,2,10,4,11,12,13,14,9,8,7,6,1] => [2,2,5,1,1,1,1,1]
[(1,14),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13)] => [3,6,2,7,9,5,4,11,8,13,10,14,12,1] => [2,3,1,2,2,2,1,1]
[(1,14),(2,3),(4,7),(5,6),(8,9),(10,13),(11,12)] => [3,6,2,7,9,5,4,12,8,13,14,11,10,1] => [2,3,1,2,3,1,1,1]
[(1,14),(2,3),(4,7),(5,6),(8,11),(9,10),(12,13)] => [3,6,2,7,10,5,4,11,13,9,8,14,12,1] => [2,3,1,3,1,2,1,1]
[(1,14),(2,3),(4,7),(5,6),(8,13),(9,10),(11,12)] => [3,6,2,7,10,5,4,12,13,9,14,11,8,1] => [2,3,1,3,2,1,1,1]
[(1,14),(2,3),(4,7),(5,6),(8,13),(9,12),(10,11)] => [3,6,2,7,11,5,4,12,13,14,10,9,8,1] => [2,3,1,4,1,1,1,1]
[(1,14),(2,3),(4,9),(5,6),(7,8),(10,11),(12,13)] => [3,6,2,8,9,5,11,7,4,13,10,14,12,1] => [2,3,2,1,2,2,1,1]
[(1,14),(2,3),(4,9),(5,6),(7,8),(10,13),(11,12)] => [3,6,2,8,9,5,12,7,4,13,14,11,10,1] => [2,3,2,1,3,1,1,1]
[(1,14),(2,3),(4,11),(5,6),(7,8),(9,10),(12,13)] => [3,6,2,8,10,5,11,7,13,9,4,14,12,1] => [2,3,2,2,1,2,1,1]
[(1,14),(2,3),(4,13),(5,6),(7,8),(9,10),(11,12)] => [3,6,2,8,10,5,12,7,13,9,14,11,4,1] => [2,3,2,2,2,1,1,1]
[(1,14),(2,3),(4,13),(5,6),(7,8),(9,12),(10,11)] => [3,6,2,8,11,5,12,7,13,14,10,9,4,1] => [2,3,2,3,1,1,1,1]
[(1,14),(2,3),(4,11),(5,6),(7,10),(8,9),(12,13)] => [3,6,2,9,10,5,11,13,8,7,4,14,12,1] => [2,3,3,1,1,2,1,1]
[(1,14),(2,3),(4,13),(5,6),(7,10),(8,9),(11,12)] => [3,6,2,9,10,5,12,13,8,7,14,11,4,1] => [2,3,3,1,2,1,1,1]
[(1,14),(2,3),(4,13),(5,6),(7,12),(8,9),(10,11)] => [3,6,2,9,11,5,12,13,8,14,10,7,4,1] => [2,3,3,2,1,1,1,1]
[(1,14),(2,3),(4,13),(5,6),(7,12),(8,11),(9,10)] => [3,6,2,10,11,5,12,13,14,9,8,7,4,1] => [2,3,4,1,1,1,1,1]
[(1,14),(2,3),(4,9),(5,8),(6,7),(10,11),(12,13)] => [3,7,2,8,9,11,6,5,4,13,10,14,12,1] => [2,4,1,1,2,2,1,1]
[(1,14),(2,3),(4,9),(5,8),(6,7),(10,13),(11,12)] => [3,7,2,8,9,12,6,5,4,13,14,11,10,1] => [2,4,1,1,3,1,1,1]
[(1,14),(2,3),(4,11),(5,8),(6,7),(9,10),(12,13)] => [3,7,2,8,10,11,6,5,13,9,4,14,12,1] => [2,4,1,2,1,2,1,1]
[(1,14),(2,3),(4,13),(5,8),(6,7),(9,10),(11,12)] => [3,7,2,8,10,12,6,5,13,9,14,11,4,1] => [2,4,1,2,2,1,1,1]
[(1,14),(2,3),(4,13),(5,8),(6,7),(9,12),(10,11)] => [3,7,2,8,11,12,6,5,13,14,10,9,4,1] => [2,4,1,3,1,1,1,1]
[(1,14),(2,3),(4,11),(5,10),(6,7),(8,9),(12,13)] => [3,7,2,9,10,11,6,13,8,5,4,14,12,1] => [2,4,2,1,1,2,1,1]
[(1,14),(2,3),(4,13),(5,10),(6,7),(8,9),(11,12)] => [3,7,2,9,10,12,6,13,8,5,14,11,4,1] => [2,4,2,1,2,1,1,1]
[(1,14),(2,3),(4,13),(5,12),(6,7),(8,9),(10,11)] => [3,7,2,9,11,12,6,13,8,14,10,5,4,1] => [2,4,2,2,1,1,1,1]
[(1,14),(2,3),(4,13),(5,12),(6,7),(8,11),(9,10)] => [3,7,2,10,11,12,6,13,14,9,8,5,4,1] => [2,4,3,1,1,1,1,1]
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)] => [3,8,2,9,10,11,12,7,6,5,4,1,14,13] => [2,5,1,1,1,1,2,1]
[(1,14),(2,3),(4,11),(5,10),(6,9),(7,8),(12,13)] => [3,8,2,9,10,11,13,7,6,5,4,14,12,1] => [2,5,1,1,1,2,1,1]
[(1,14),(2,3),(4,13),(5,10),(6,9),(7,8),(11,12)] => [3,8,2,9,10,12,13,7,6,5,14,11,4,1] => [2,5,1,1,2,1,1,1]
[(1,14),(2,3),(4,13),(5,12),(6,9),(7,8),(10,11)] => [3,8,2,9,11,12,13,7,6,14,10,5,4,1] => [2,5,1,2,1,1,1,1]
[(1,14),(2,3),(4,13),(5,12),(6,11),(7,8),(9,10)] => [3,8,2,10,11,12,13,7,14,9,6,5,4,1] => [2,5,2,1,1,1,1,1]
[(1,14),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9)] => [3,9,2,10,11,12,13,14,8,7,6,5,4,1] => [2,6,1,1,1,1,1,1]
[(1,14),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13)] => [4,5,7,3,2,9,6,11,8,13,10,14,12,1] => [3,1,2,2,2,2,1,1]
[(1,14),(2,5),(3,4),(6,7),(8,9),(10,13),(11,12)] => [4,5,7,3,2,9,6,12,8,13,14,11,10,1] => [3,1,2,2,3,1,1,1]
[(1,14),(2,5),(3,4),(6,7),(8,11),(9,10),(12,13)] => [4,5,7,3,2,10,6,11,13,9,8,14,12,1] => [3,1,2,3,1,2,1,1]
[(1,14),(2,5),(3,4),(6,7),(8,13),(9,10),(11,12)] => [4,5,7,3,2,10,6,12,13,9,14,11,8,1] => [3,1,2,3,2,1,1,1]
[(1,14),(2,5),(3,4),(6,7),(8,13),(9,12),(10,11)] => [4,5,7,3,2,11,6,12,13,14,10,9,8,1] => [3,1,2,4,1,1,1,1]
[(1,14),(2,5),(3,4),(6,9),(7,8),(10,11),(12,13)] => [4,5,8,3,2,9,11,7,6,13,10,14,12,1] => [3,1,3,1,2,2,1,1]
[(1,14),(2,5),(3,4),(6,9),(7,8),(10,13),(11,12)] => [4,5,8,3,2,9,12,7,6,13,14,11,10,1] => [3,1,3,1,3,1,1,1]
[(1,14),(2,5),(3,4),(6,11),(7,8),(9,10),(12,13)] => [4,5,8,3,2,10,11,7,13,9,6,14,12,1] => [3,1,3,2,1,2,1,1]
[(1,14),(2,5),(3,4),(6,13),(7,8),(9,10),(11,12)] => [4,5,8,3,2,10,12,7,13,9,14,11,6,1] => [3,1,3,2,2,1,1,1]
[(1,14),(2,5),(3,4),(6,13),(7,8),(9,12),(10,11)] => [4,5,8,3,2,11,12,7,13,14,10,9,6,1] => [3,1,3,3,1,1,1,1]
[(1,14),(2,5),(3,4),(6,11),(7,10),(8,9),(12,13)] => [4,5,9,3,2,10,11,13,8,7,6,14,12,1] => [3,1,4,1,1,2,1,1]
[(1,14),(2,5),(3,4),(6,13),(7,10),(8,9),(11,12)] => [4,5,9,3,2,10,12,13,8,7,14,11,6,1] => [3,1,4,1,2,1,1,1]
[(1,14),(2,5),(3,4),(6,13),(7,12),(8,9),(10,11)] => [4,5,9,3,2,11,12,13,8,14,10,7,6,1] => [3,1,4,2,1,1,1,1]
[(1,14),(2,5),(3,4),(6,13),(7,12),(8,11),(9,10)] => [4,5,10,3,2,11,12,13,14,9,8,7,6,1] => [3,1,5,1,1,1,1,1]
[(1,14),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13)] => [4,6,7,3,9,5,2,11,8,13,10,14,12,1] => [3,2,1,2,2,2,1,1]
[(1,14),(2,7),(3,4),(5,6),(8,9),(10,13),(11,12)] => [4,6,7,3,9,5,2,12,8,13,14,11,10,1] => [3,2,1,2,3,1,1,1]
[(1,14),(2,7),(3,4),(5,6),(8,11),(9,10),(12,13)] => [4,6,7,3,10,5,2,11,13,9,8,14,12,1] => [3,2,1,3,1,2,1,1]
[(1,14),(2,7),(3,4),(5,6),(8,13),(9,10),(11,12)] => [4,6,7,3,10,5,2,12,13,9,14,11,8,1] => [3,2,1,3,2,1,1,1]
[(1,14),(2,7),(3,4),(5,6),(8,13),(9,12),(10,11)] => [4,6,7,3,11,5,2,12,13,14,10,9,8,1] => [3,2,1,4,1,1,1,1]
[(1,14),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13)] => [4,6,8,3,9,5,11,7,2,13,10,14,12,1] => [3,2,2,1,2,2,1,1]
[(1,14),(2,9),(3,4),(5,6),(7,8),(10,13),(11,12)] => [4,6,8,3,9,5,12,7,2,13,14,11,10,1] => [3,2,2,1,3,1,1,1]
[(1,14),(2,11),(3,4),(5,6),(7,8),(9,10),(12,13)] => [4,6,8,3,10,5,11,7,13,9,2,14,12,1] => [3,2,2,2,1,2,1,1]
[(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12)] => [4,6,8,3,10,5,12,7,13,9,14,11,2,1] => [3,2,2,2,2,1,1,1]
[(1,14),(2,13),(3,4),(5,6),(7,8),(9,12),(10,11)] => [4,6,8,3,11,5,12,7,13,14,10,9,2,1] => [3,2,2,3,1,1,1,1]
[(1,14),(2,11),(3,4),(5,6),(7,10),(8,9),(12,13)] => [4,6,9,3,10,5,11,13,8,7,2,14,12,1] => [3,2,3,1,1,2,1,1]
[(1,14),(2,13),(3,4),(5,6),(7,10),(8,9),(11,12)] => [4,6,9,3,10,5,12,13,8,7,14,11,2,1] => [3,2,3,1,2,1,1,1]
[(1,14),(2,13),(3,4),(5,6),(7,12),(8,9),(10,11)] => [4,6,9,3,11,5,12,13,8,14,10,7,2,1] => [3,2,3,2,1,1,1,1]
[(1,14),(2,13),(3,4),(5,6),(7,12),(8,11),(9,10)] => [4,6,10,3,11,5,12,13,14,9,8,7,2,1] => [3,2,4,1,1,1,1,1]
[(1,14),(2,9),(3,4),(5,8),(6,7),(10,11),(12,13)] => [4,7,8,3,9,11,6,5,2,13,10,14,12,1] => [3,3,1,1,2,2,1,1]
[(1,14),(2,9),(3,4),(5,8),(6,7),(10,13),(11,12)] => [4,7,8,3,9,12,6,5,2,13,14,11,10,1] => [3,3,1,1,3,1,1,1]
[(1,14),(2,11),(3,4),(5,8),(6,7),(9,10),(12,13)] => [4,7,8,3,10,11,6,5,13,9,2,14,12,1] => [3,3,1,2,1,2,1,1]
[(1,14),(2,13),(3,4),(5,8),(6,7),(9,10),(11,12)] => [4,7,8,3,10,12,6,5,13,9,14,11,2,1] => [3,3,1,2,2,1,1,1]
[(1,14),(2,13),(3,4),(5,8),(6,7),(9,12),(10,11)] => [4,7,8,3,11,12,6,5,13,14,10,9,2,1] => [3,3,1,3,1,1,1,1]
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)] => [4,7,9,3,10,11,6,12,8,5,2,1,14,13] => [3,3,2,1,1,1,2,1]
[(1,14),(2,11),(3,4),(5,10),(6,7),(8,9),(12,13)] => [4,7,9,3,10,11,6,13,8,5,2,14,12,1] => [3,3,2,1,1,2,1,1]
[(1,14),(2,13),(3,4),(5,10),(6,7),(8,9),(11,12)] => [4,7,9,3,10,12,6,13,8,5,14,11,2,1] => [3,3,2,1,2,1,1,1]
[(1,14),(2,13),(3,4),(5,12),(6,7),(8,9),(10,11)] => [4,7,9,3,11,12,6,13,8,14,10,5,2,1] => [3,3,2,2,1,1,1,1]
[(1,14),(2,13),(3,4),(5,12),(6,7),(8,11),(9,10)] => [4,7,10,3,11,12,6,13,14,9,8,5,2,1] => [3,3,3,1,1,1,1,1]
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)] => [4,8,9,3,10,11,12,7,6,5,2,1,14,13] => [3,4,1,1,1,1,2,1]
[(1,14),(2,11),(3,4),(5,10),(6,9),(7,8),(12,13)] => [4,8,9,3,10,11,13,7,6,5,2,14,12,1] => [3,4,1,1,1,2,1,1]
[(1,14),(2,13),(3,4),(5,10),(6,9),(7,8),(11,12)] => [4,8,9,3,10,12,13,7,6,5,14,11,2,1] => [3,4,1,1,2,1,1,1]
[(1,14),(2,13),(3,4),(5,12),(6,9),(7,8),(10,11)] => [4,8,9,3,11,12,13,7,6,14,10,5,2,1] => [3,4,1,2,1,1,1,1]
[(1,14),(2,13),(3,4),(5,12),(6,11),(7,8),(9,10)] => [4,8,10,3,11,12,13,7,14,9,6,5,2,1] => [3,4,2,1,1,1,1,1]
[(1,14),(2,13),(3,4),(5,12),(6,11),(7,10),(8,9)] => [4,9,10,3,11,12,13,14,8,7,6,5,2,1] => [3,5,1,1,1,1,1,1]
[(1,14),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13)] => [5,6,7,9,4,3,2,11,8,13,10,14,12,1] => [4,1,1,2,2,2,1,1]
[(1,14),(2,7),(3,6),(4,5),(8,9),(10,13),(11,12)] => [5,6,7,9,4,3,2,12,8,13,14,11,10,1] => [4,1,1,2,3,1,1,1]
[(1,14),(2,7),(3,6),(4,5),(8,11),(9,10),(12,13)] => [5,6,7,10,4,3,2,11,13,9,8,14,12,1] => [4,1,1,3,1,2,1,1]
[(1,14),(2,7),(3,6),(4,5),(8,13),(9,10),(11,12)] => [5,6,7,10,4,3,2,12,13,9,14,11,8,1] => [4,1,1,3,2,1,1,1]
[(1,14),(2,7),(3,6),(4,5),(8,13),(9,12),(10,11)] => [5,6,7,11,4,3,2,12,13,14,10,9,8,1] => [4,1,1,4,1,1,1,1]
[(1,14),(2,9),(3,6),(4,5),(7,8),(10,11),(12,13)] => [5,6,8,9,4,3,11,7,2,13,10,14,12,1] => [4,1,2,1,2,2,1,1]
[(1,14),(2,9),(3,6),(4,5),(7,8),(10,13),(11,12)] => [5,6,8,9,4,3,12,7,2,13,14,11,10,1] => [4,1,2,1,3,1,1,1]
[(1,14),(2,11),(3,6),(4,5),(7,8),(9,10),(12,13)] => [5,6,8,10,4,3,11,7,13,9,2,14,12,1] => [4,1,2,2,1,2,1,1]
[(1,14),(2,13),(3,6),(4,5),(7,8),(9,10),(11,12)] => [5,6,8,10,4,3,12,7,13,9,14,11,2,1] => [4,1,2,2,2,1,1,1]
[(1,14),(2,13),(3,6),(4,5),(7,8),(9,12),(10,11)] => [5,6,8,11,4,3,12,7,13,14,10,9,2,1] => [4,1,2,3,1,1,1,1]
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)] => [5,6,9,10,4,3,11,12,8,7,2,1,14,13] => [4,1,3,1,1,1,2,1]
[(1,14),(2,11),(3,6),(4,5),(7,10),(8,9),(12,13)] => [5,6,9,10,4,3,11,13,8,7,2,14,12,1] => [4,1,3,1,1,2,1,1]
[(1,14),(2,13),(3,6),(4,5),(7,10),(8,9),(11,12)] => [5,6,9,10,4,3,12,13,8,7,14,11,2,1] => [4,1,3,1,2,1,1,1]
[(1,14),(2,13),(3,6),(4,5),(7,12),(8,9),(10,11)] => [5,6,9,11,4,3,12,13,8,14,10,7,2,1] => [4,1,3,2,1,1,1,1]
[(1,14),(2,13),(3,6),(4,5),(7,12),(8,11),(9,10)] => [5,6,10,11,4,3,12,13,14,9,8,7,2,1] => [4,1,4,1,1,1,1,1]
[(1,14),(2,9),(3,8),(4,5),(6,7),(10,11),(12,13)] => [5,7,8,9,4,11,6,3,2,13,10,14,12,1] => [4,2,1,1,2,2,1,1]
[(1,14),(2,9),(3,8),(4,5),(6,7),(10,13),(11,12)] => [5,7,8,9,4,12,6,3,2,13,14,11,10,1] => [4,2,1,1,3,1,1,1]
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)] => [5,7,8,10,4,11,6,3,12,9,2,1,14,13] => [4,2,1,2,1,1,2,1]
[(1,14),(2,11),(3,8),(4,5),(6,7),(9,10),(12,13)] => [5,7,8,10,4,11,6,3,13,9,2,14,12,1] => [4,2,1,2,1,2,1,1]
[(1,14),(2,13),(3,8),(4,5),(6,7),(9,10),(11,12)] => [5,7,8,10,4,12,6,3,13,9,14,11,2,1] => [4,2,1,2,2,1,1,1]
[(1,14),(2,13),(3,8),(4,5),(6,7),(9,12),(10,11)] => [5,7,8,11,4,12,6,3,13,14,10,9,2,1] => [4,2,1,3,1,1,1,1]
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)] => [5,7,9,10,4,11,6,12,8,3,2,1,14,13] => [4,2,2,1,1,1,2,1]
[(1,14),(2,11),(3,10),(4,5),(6,7),(8,9),(12,13)] => [5,7,9,10,4,11,6,13,8,3,2,14,12,1] => [4,2,2,1,1,2,1,1]
[(1,14),(2,13),(3,10),(4,5),(6,7),(8,9),(11,12)] => [5,7,9,10,4,12,6,13,8,3,14,11,2,1] => [4,2,2,1,2,1,1,1]
[(1,14),(2,13),(3,12),(4,5),(6,7),(8,9),(10,11)] => [5,7,9,11,4,12,6,13,8,14,10,3,2,1] => [4,2,2,2,1,1,1,1]
[(1,14),(2,13),(3,12),(4,5),(6,7),(8,11),(9,10)] => [5,7,10,11,4,12,6,13,14,9,8,3,2,1] => [4,2,3,1,1,1,1,1]
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)] => [5,8,9,10,4,11,12,7,6,3,2,1,14,13] => [4,3,1,1,1,1,2,1]
[(1,14),(2,11),(3,10),(4,5),(6,9),(7,8),(12,13)] => [5,8,9,10,4,11,13,7,6,3,2,14,12,1] => [4,3,1,1,1,2,1,1]
[(1,14),(2,13),(3,10),(4,5),(6,9),(7,8),(11,12)] => [5,8,9,10,4,12,13,7,6,3,14,11,2,1] => [4,3,1,1,2,1,1,1]
[(1,14),(2,13),(3,12),(4,5),(6,9),(7,8),(10,11)] => [5,8,9,11,4,12,13,7,6,14,10,3,2,1] => [4,3,1,2,1,1,1,1]
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,8),(9,10)] => [5,8,10,11,4,12,13,7,14,9,6,3,2,1] => [4,3,2,1,1,1,1,1]
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9)] => [5,9,10,11,4,12,13,14,8,7,6,3,2,1] => [4,4,1,1,1,1,1,1]
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)] => [6,7,8,9,10,5,4,3,2,1,13,14,12,11] => [5,1,1,1,1,3,1,1]
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)] => [6,7,8,9,11,5,4,3,2,12,10,1,14,13] => [5,1,1,1,2,1,2,1]
[(1,14),(2,9),(3,8),(4,7),(5,6),(10,11),(12,13)] => [6,7,8,9,11,5,4,3,2,13,10,14,12,1] => [5,1,1,1,2,2,1,1]
[(1,14),(2,9),(3,8),(4,7),(5,6),(10,13),(11,12)] => [6,7,8,9,12,5,4,3,2,13,14,11,10,1] => [5,1,1,1,3,1,1,1]
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)] => [6,7,8,10,11,5,4,3,12,9,2,1,14,13] => [5,1,1,2,1,1,2,1]
[(1,14),(2,11),(3,8),(4,7),(5,6),(9,10),(12,13)] => [6,7,8,10,11,5,4,3,13,9,2,14,12,1] => [5,1,1,2,1,2,1,1]
[(1,14),(2,13),(3,8),(4,7),(5,6),(9,10),(11,12)] => [6,7,8,10,12,5,4,3,13,9,14,11,2,1] => [5,1,1,2,2,1,1,1]
[(1,14),(2,13),(3,8),(4,7),(5,6),(9,12),(10,11)] => [6,7,8,11,12,5,4,3,13,14,10,9,2,1] => [5,1,1,3,1,1,1,1]
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)] => [6,7,9,10,11,5,4,12,8,3,2,1,14,13] => [5,1,2,1,1,1,2,1]
[(1,14),(2,11),(3,10),(4,7),(5,6),(8,9),(12,13)] => [6,7,9,10,11,5,4,13,8,3,2,14,12,1] => [5,1,2,1,1,2,1,1]
[(1,14),(2,13),(3,10),(4,7),(5,6),(8,9),(11,12)] => [6,7,9,10,12,5,4,13,8,3,14,11,2,1] => [5,1,2,1,2,1,1,1]
[(1,14),(2,13),(3,12),(4,7),(5,6),(8,9),(10,11)] => [6,7,9,11,12,5,4,13,8,14,10,3,2,1] => [5,1,2,2,1,1,1,1]
[(1,14),(2,13),(3,12),(4,7),(5,6),(8,11),(9,10)] => [6,7,10,11,12,5,4,13,14,9,8,3,2,1] => [5,1,3,1,1,1,1,1]
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)] => [6,8,9,10,11,5,12,7,4,3,2,1,14,13] => [5,2,1,1,1,1,2,1]
[(1,14),(2,11),(3,10),(4,9),(5,6),(7,8),(12,13)] => [6,8,9,10,11,5,13,7,4,3,2,14,12,1] => [5,2,1,1,1,2,1,1]
[(1,14),(2,13),(3,10),(4,9),(5,6),(7,8),(11,12)] => [6,8,9,10,12,5,13,7,4,3,14,11,2,1] => [5,2,1,1,2,1,1,1]
[(1,14),(2,13),(3,12),(4,9),(5,6),(7,8),(10,11)] => [6,8,9,11,12,5,13,7,4,14,10,3,2,1] => [5,2,1,2,1,1,1,1]
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10)] => [6,8,10,11,12,5,13,7,14,9,4,3,2,1] => [5,2,2,1,1,1,1,1]
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9)] => [6,9,10,11,12,5,13,14,8,7,4,3,2,1] => [5,3,1,1,1,1,1,1]
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)] => [7,8,9,10,11,12,6,5,4,3,2,1,14,13] => [6,1,1,1,1,1,2,1]
[(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13)] => [7,8,9,10,11,13,6,5,4,3,2,14,12,1] => [6,1,1,1,1,2,1,1]
[(1,14),(2,13),(3,10),(4,9),(5,8),(6,7),(11,12)] => [7,8,9,10,12,13,6,5,4,3,14,11,2,1] => [6,1,1,1,2,1,1,1]
[(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11)] => [7,8,9,11,12,13,6,5,4,14,10,3,2,1] => [6,1,1,2,1,1,1,1]
[(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10)] => [7,8,10,11,12,13,6,5,14,9,4,3,2,1] => [6,1,2,1,1,1,1,1]
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9)] => [7,9,10,11,12,13,6,14,8,5,4,3,2,1] => [6,2,1,1,1,1,1,1]
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8)] => [8,9,10,11,12,13,14,7,6,5,4,3,2,1] => [7,1,1,1,1,1,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15] => [1,2,2,2,2,2,2,2,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)] => [2,1,4,3,6,5,8,7,10,9,12,11,15,16,14,13] => [1,2,2,2,2,2,3,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)] => [2,1,4,3,6,5,8,7,10,9,13,15,12,16,14,11] => [1,2,2,2,2,3,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)] => [2,1,4,3,6,5,8,7,10,9,14,15,16,13,12,11] => [1,2,2,2,2,4,1,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)] => [2,1,4,3,6,5,8,7,11,13,10,15,12,16,14,9] => [1,2,2,2,3,2,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,13),(11,12),(14,15)] => [2,1,4,3,6,5,8,7,12,13,15,11,10,16,14,9] => [1,2,2,2,4,1,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,12),(13,14)] => [2,1,4,3,6,5,8,7,12,14,15,11,16,13,10,9] => [1,2,2,2,4,2,1,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,14),(12,13)] => [2,1,4,3,6,5,8,7,13,14,15,16,12,11,10,9] => [1,2,2,2,5,1,1,1,1]
[(1,2),(3,4),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)] => [2,1,4,3,6,5,9,11,8,13,10,15,12,16,14,7] => [1,2,2,3,2,2,2,1,1]
[(1,2),(3,4),(5,6),(7,16),(8,11),(9,10),(12,13),(14,15)] => [2,1,4,3,6,5,10,11,13,9,8,15,12,16,14,7] => [1,2,2,4,1,2,2,1,1]
[(1,2),(3,4),(5,6),(7,16),(8,13),(9,10),(11,12),(14,15)] => [2,1,4,3,6,5,10,12,13,9,15,11,8,16,14,7] => [1,2,2,4,2,1,2,1,1]
[(1,2),(3,4),(5,6),(7,16),(8,13),(9,12),(10,11),(14,15)] => [2,1,4,3,6,5,11,12,13,15,10,9,8,16,14,7] => [1,2,2,5,1,1,2,1,1]
[(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)] => [2,1,4,3,7,9,6,11,8,13,10,15,12,16,14,5] => [1,2,3,2,2,2,2,1,1]
[(1,2),(3,4),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)] => [2,1,4,3,8,9,11,7,6,13,10,15,12,16,14,5] => [1,2,4,1,2,2,2,1,1]
[(1,2),(3,4),(5,16),(6,11),(7,8),(9,10),(12,13),(14,15)] => [2,1,4,3,8,10,11,7,13,9,6,15,12,16,14,5] => [1,2,4,2,1,2,2,1,1]
[(1,2),(3,4),(5,16),(6,11),(7,10),(8,9),(12,13),(14,15)] => [2,1,4,3,9,10,11,13,8,7,6,15,12,16,14,5] => [1,2,5,1,1,2,2,1,1]
[(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)] => [2,1,5,7,4,9,6,11,8,13,10,15,12,16,14,3] => [1,3,2,2,2,2,2,1,1]
[(1,2),(3,16),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)] => [2,1,6,7,9,5,4,11,8,13,10,15,12,16,14,3] => [1,4,1,2,2,2,2,1,1]
[(1,2),(3,16),(4,9),(5,6),(7,8),(10,11),(12,13),(14,15)] => [2,1,6,8,9,5,11,7,4,13,10,15,12,16,14,3] => [1,4,2,1,2,2,2,1,1]
[(1,2),(3,16),(4,9),(5,8),(6,7),(10,11),(12,13),(14,15)] => [2,1,7,8,9,11,6,5,4,13,10,15,12,16,14,3] => [1,5,1,1,2,2,2,1,1]
[(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)] => [2,1,7,11,12,13,6,14,15,16,10,9,8,5,4,3] => [1,5,4,1,1,1,1,1,1]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)] => [2,1,8,10,12,13,14,7,15,9,16,11,6,5,4,3] => [1,6,2,2,1,1,1,1,1]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)] => [2,1,8,11,12,13,14,7,15,16,10,9,6,5,4,3] => [1,6,3,1,1,1,1,1,1]
[(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)] => [2,1,9,10,11,13,14,15,8,7,6,16,12,5,4,3] => [1,7,1,1,2,1,1,1,1]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)] => [2,1,9,10,12,13,14,15,8,7,16,11,6,5,4,3] => [1,7,1,2,1,1,1,1,1]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)] => [2,1,9,11,12,13,14,15,8,16,10,7,6,5,4,3] => [1,7,2,1,1,1,1,1,1]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)] => [2,1,10,11,12,13,14,15,16,9,8,7,6,5,4,3] => [1,8,1,1,1,1,1,1,1]
[(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,16,14,1] => [2,2,2,2,2,2,2,1,1]
[(1,16),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15)] => [4,5,7,3,2,9,6,11,8,13,10,15,12,16,14,1] => [3,1,2,2,2,2,2,1,1]
[(1,16),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(14,15)] => [4,6,7,3,9,5,2,11,8,13,10,15,12,16,14,1] => [3,2,1,2,2,2,2,1,1]
[(1,16),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13),(14,15)] => [5,6,7,9,4,3,2,11,8,13,10,15,12,16,14,1] => [4,1,1,2,2,2,2,1,1]
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(15,16)] => [5,9,10,11,4,12,13,14,8,7,6,3,2,1,16,15] => [4,4,1,1,1,1,1,2,1]
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(15,16)] => [6,8,10,11,12,5,13,7,14,9,4,3,2,1,16,15] => [5,2,2,1,1,1,1,2,1]
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(15,16)] => [6,9,10,11,12,5,13,14,8,7,4,3,2,1,16,15] => [5,3,1,1,1,1,1,2,1]
[(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(15,16)] => [7,8,9,11,12,13,6,5,4,14,10,3,2,1,16,15] => [6,1,1,2,1,1,1,2,1]
[(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(15,16)] => [7,8,10,11,12,13,6,5,14,9,4,3,2,1,16,15] => [6,1,2,1,1,1,1,2,1]
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,16)] => [7,9,10,11,12,13,6,14,8,5,4,3,2,1,16,15] => [6,2,1,1,1,1,1,2,1]
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16)] => [8,9,10,11,12,13,14,7,6,5,4,3,2,1,16,15] => [7,1,1,1,1,1,1,2,1]
[(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [2,1,4,3,6,5,8,7,11,12,9,10] => [1,2,2,2,3,2]
[(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [2,1,4,3,6,5,9,10,7,8,12,11] => [1,2,2,3,3,1]
[(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [2,1,4,3,6,5,9,11,7,12,8,10] => [1,2,2,3,2,2]
[(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [2,1,4,3,6,5,10,11,12,7,8,9] => [1,2,2,4,3]
[(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [2,1,4,3,7,8,5,6,10,9,12,11] => [1,2,3,3,2,1]
[(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [2,1,4,3,7,8,5,6,11,12,9,10] => [1,2,3,4,2]
[(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [2,1,4,3,7,9,5,10,6,8,12,11] => [1,2,3,2,3,1]
[(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [2,1,4,3,7,9,5,11,6,12,8,10] => [1,2,3,2,2,2]
[(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [2,1,4,3,7,10,5,11,12,6,8,9] => [1,2,3,3,3]
[(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [2,1,4,3,8,9,10,5,6,7,12,11] => [1,2,4,4,1]
[(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [2,1,4,3,8,9,11,5,6,12,7,10] => [1,2,4,3,2]
[(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [2,1,4,3,8,10,11,5,12,6,7,9] => [1,2,4,2,3]
[(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => [2,1,4,3,9,10,11,12,5,6,7,8] => [1,2,5,4]
[(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [2,1,5,6,3,4,8,7,10,9,12,11] => [1,3,3,2,2,1]
[(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [2,1,5,6,3,4,8,7,11,12,9,10] => [1,3,3,3,2]
[(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [2,1,5,6,3,4,9,10,7,8,12,11] => [1,3,4,3,1]
[(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [2,1,5,6,3,4,9,11,7,12,8,10] => [1,3,4,2,2]
[(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [2,1,5,6,3,4,10,11,12,7,8,9] => [1,3,5,3]
[(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [2,1,5,7,3,8,4,6,10,9,12,11] => [1,3,2,3,2,1]
[(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [2,1,5,7,3,8,4,6,11,12,9,10] => [1,3,2,4,2]
[(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [2,1,5,7,3,9,4,10,6,8,12,11] => [1,3,2,2,3,1]
[(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [2,1,5,7,3,9,4,11,6,12,8,10] => [1,3,2,2,2,2]
[(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [2,1,5,7,3,10,4,11,12,6,8,9] => [1,3,2,3,3]
[(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [2,1,5,8,3,9,10,4,6,7,12,11] => [1,3,3,4,1]
[(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [2,1,5,8,3,9,11,4,6,12,7,10] => [1,3,3,3,2]
[(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [2,1,5,8,3,10,11,4,12,6,7,9] => [1,3,3,2,3]
[(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [2,1,5,9,3,10,11,12,4,6,7,8] => [1,3,4,4]
[(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [2,1,6,7,8,3,4,5,10,9,12,11] => [1,4,4,2,1]
[(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [2,1,6,7,8,3,4,5,11,12,9,10] => [1,4,5,2]
[(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [2,1,6,7,9,3,4,10,5,8,12,11] => [1,4,3,3,1]
[(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [2,1,6,7,9,3,4,11,5,12,8,10] => [1,4,3,2,2]
[(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [2,1,6,7,10,3,4,11,12,5,8,9] => [1,4,4,3]
[(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [2,1,6,8,9,3,10,4,5,7,12,11] => [1,4,2,4,1]
[(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [2,1,6,8,9,3,11,4,5,12,7,10] => [1,4,2,3,2]
[(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [2,1,6,8,10,3,11,4,12,5,7,9] => [1,4,2,2,3]
[(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [2,1,6,9,10,3,11,12,4,5,7,8] => [1,4,3,4]
[(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => [2,1,7,8,9,10,3,4,5,6,12,11] => [1,5,5,1]
[(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [2,1,7,8,9,11,3,4,5,12,6,10] => [1,5,4,2]
[(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [2,1,7,8,10,11,3,4,12,5,6,9] => [1,5,3,3]
[(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => [2,1,7,9,10,11,3,12,4,5,6,8] => [1,5,2,4]
[(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => [2,1,8,9,10,11,12,3,4,5,6,7] => [1,6,5]
[(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [3,4,1,2,6,5,8,7,10,9,12,11] => [2,3,2,2,2,1]
[(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [3,4,1,2,6,5,8,7,11,12,9,10] => [2,3,2,3,2]
[(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [3,4,1,2,6,5,9,10,7,8,12,11] => [2,3,3,3,1]
[(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [3,4,1,2,6,5,9,11,7,12,8,10] => [2,3,3,2,2]
[(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [3,4,1,2,6,5,10,11,12,7,8,9] => [2,3,4,3]
[(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [3,4,1,2,7,8,5,6,10,9,12,11] => [2,4,3,2,1]
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [3,4,1,2,7,8,5,6,11,12,9,10] => [2,4,4,2]
[(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [3,4,1,2,7,9,5,10,6,8,12,11] => [2,4,2,3,1]
[(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [3,4,1,2,7,9,5,11,6,12,8,10] => [2,4,2,2,2]
[(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [3,4,1,2,7,10,5,11,12,6,8,9] => [2,4,3,3]
[(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [3,4,1,2,8,9,10,5,6,7,12,11] => [2,5,4,1]
[(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [3,4,1,2,8,9,11,5,6,12,7,10] => [2,5,3,2]
[(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => [3,4,1,2,8,10,11,5,12,6,7,9] => [2,5,2,3]
[(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => [3,4,1,2,9,10,11,12,5,6,7,8] => [2,6,4]
[(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [3,5,1,6,2,4,8,7,10,9,12,11] => [2,2,3,2,2,1]
[(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [3,5,1,6,2,4,8,7,11,12,9,10] => [2,2,3,3,2]
[(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [3,5,1,6,2,4,9,10,7,8,12,11] => [2,2,4,3,1]
[(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [3,5,1,6,2,4,9,11,7,12,8,10] => [2,2,4,2,2]
[(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => [3,5,1,6,2,4,10,11,12,7,8,9] => [2,2,5,3]
[(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [3,5,1,7,2,8,4,6,10,9,12,11] => [2,2,2,3,2,1]
[(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [3,5,1,7,2,8,4,6,11,12,9,10] => [2,2,2,4,2]
[(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [3,5,1,7,2,9,4,10,6,8,12,11] => [2,2,2,2,3,1]
[(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [3,5,1,7,2,9,4,11,6,12,8,10] => [2,2,2,2,2,2]
[(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [3,5,1,7,2,10,4,11,12,6,8,9] => [2,2,2,3,3]
[(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [3,5,1,8,2,9,10,4,6,7,12,11] => [2,2,3,4,1]
[(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [3,5,1,8,2,9,11,4,6,12,7,10] => [2,2,3,3,2]
[(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [3,5,1,8,2,10,11,4,12,6,7,9] => [2,2,3,2,3]
[(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [3,5,1,9,2,10,11,12,4,6,7,8] => [2,2,4,4]
[(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [3,6,1,7,8,2,4,5,10,9,12,11] => [2,3,4,2,1]
[(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [3,6,1,7,8,2,4,5,11,12,9,10] => [2,3,5,2]
[(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [3,6,1,7,9,2,4,10,5,8,12,11] => [2,3,3,3,1]
[(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [3,6,1,7,9,2,4,11,5,12,8,10] => [2,3,3,2,2]
[(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [3,6,1,7,10,2,4,11,12,5,8,9] => [2,3,4,3]
[(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [3,6,1,8,9,2,10,4,5,7,12,11] => [2,3,2,4,1]
[(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [3,6,1,8,9,2,11,4,5,12,7,10] => [2,3,2,3,2]
[(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [3,6,1,8,10,2,11,4,12,5,7,9] => [2,3,2,2,3]
[(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [3,6,1,9,10,2,11,12,4,5,7,8] => [2,3,3,4]
[(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [3,7,1,8,9,10,2,4,5,6,12,11] => [2,4,5,1]
[(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [3,7,1,8,9,11,2,4,5,12,6,10] => [2,4,4,2]
[(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [3,7,1,8,10,11,2,4,12,5,6,9] => [2,4,3,3]
[(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [3,7,1,9,10,11,2,12,4,5,6,8] => [2,4,2,4]
[(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => [3,8,1,9,10,11,12,2,4,5,6,7] => [2,5,5]
[(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [4,5,6,1,2,3,8,7,10,9,12,11] => [3,4,2,2,1]
[(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [4,5,6,1,2,3,8,7,11,12,9,10] => [3,4,3,2]
[(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [4,5,6,1,2,3,9,10,7,8,12,11] => [3,5,3,1]
[(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => [4,5,6,1,2,3,9,11,7,12,8,10] => [3,5,2,2]
[(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)] => [4,5,6,1,2,3,10,11,12,7,8,9] => [3,6,3]
[(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [4,5,7,1,2,8,3,6,10,9,12,11] => [3,3,3,2,1]
[(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [4,5,7,1,2,8,3,6,11,12,9,10] => [3,3,4,2]
[(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [4,5,7,1,2,9,3,10,6,8,12,11] => [3,3,2,3,1]
[(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [4,5,7,1,2,9,3,11,6,12,8,10] => [3,3,2,2,2]
[(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [4,5,7,1,2,10,3,11,12,6,8,9] => [3,3,3,3]
[(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [4,5,8,1,2,9,10,3,6,7,12,11] => [3,4,4,1]
[(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [4,5,8,1,2,9,11,3,6,12,7,10] => [3,4,3,2]
[(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [4,5,8,1,2,10,11,3,12,6,7,9] => [3,4,2,3]
[(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [4,5,9,1,2,10,11,12,3,6,7,8] => [3,5,4]
[(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [4,6,7,1,8,2,3,5,10,9,12,11] => [3,2,4,2,1]
[(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => [4,6,7,1,8,2,3,5,11,12,9,10] => [3,2,5,2]
[(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [4,6,7,1,9,2,3,10,5,8,12,11] => [3,2,3,3,1]
[(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [4,6,7,1,9,2,3,11,5,12,8,10] => [3,2,3,2,2]
[(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [4,6,7,1,10,2,3,11,12,5,8,9] => [3,2,4,3]
[(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [4,6,8,1,9,2,10,3,5,7,12,11] => [3,2,2,4,1]
[(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [4,6,8,1,9,2,11,3,5,12,7,10] => [3,2,2,3,2]
[(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [4,6,8,1,10,2,11,3,12,5,7,9] => [3,2,2,2,3]
[(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [4,6,9,1,10,2,11,12,3,5,7,8] => [3,2,3,4]
[(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [4,7,8,1,9,10,2,3,5,6,12,11] => [3,3,5,1]
[(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [4,7,8,1,9,11,2,3,5,12,6,10] => [3,3,4,2]
[(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [4,7,8,1,10,11,2,3,12,5,6,9] => [3,3,3,3]
[(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [4,7,9,1,10,11,2,12,3,5,6,8] => [3,3,2,4]
[(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [4,8,9,1,10,11,12,2,3,5,6,7] => [3,4,5]
[(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => [5,6,7,8,1,2,3,4,10,9,12,11] => [4,5,2,1]
[(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => [5,6,7,8,1,2,3,4,11,12,9,10] => [4,6,2]
[(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [5,6,7,9,1,2,3,10,4,8,12,11] => [4,4,3,1]
[(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [5,6,7,9,1,2,3,11,4,12,8,10] => [4,4,2,2]
[(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [5,6,7,10,1,2,3,11,12,4,8,9] => [4,5,3]
[(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [5,6,8,9,1,2,10,3,4,7,12,11] => [4,3,4,1]
[(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [5,6,8,9,1,2,11,3,4,12,7,10] => [4,3,3,2]
[(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [5,6,8,10,1,2,11,3,12,4,7,9] => [4,3,2,3]
[(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [5,6,9,10,1,2,11,12,3,4,7,8] => [4,4,4]
[(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => [5,7,8,9,1,10,2,3,4,6,12,11] => [4,2,5,1]
[(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [5,7,8,9,1,11,2,3,4,12,6,10] => [4,2,4,2]
[(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [5,7,8,10,1,11,2,3,12,4,6,9] => [4,2,3,3]
[(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [5,7,9,10,1,11,2,12,3,4,6,8] => [4,2,2,4]
[(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [5,8,9,10,1,11,12,2,3,4,6,7] => [4,3,5]
[(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => [6,7,8,9,10,1,2,3,4,5,12,11] => [5,6,1]
[(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => [6,7,8,9,11,1,2,3,4,12,5,10] => [5,5,2]
[(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [6,7,8,10,11,1,2,3,12,4,5,9] => [5,4,3]
[(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [6,7,9,10,11,1,2,12,3,4,5,8] => [5,3,4]
[(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => [6,8,9,10,11,1,12,2,3,4,5,7] => [5,2,5]
[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [7,8,9,10,11,12,1,2,3,4,5,6] => [6,6]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17] => [1,2,2,2,2,2,2,2,2,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,18,16,15] => [1,2,2,2,2,2,2,3,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)] => [2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,18,16,13] => [1,2,2,2,2,2,3,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,13),(14,15),(16,17)] => [2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,18,16,11] => [1,2,2,2,2,3,2,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,18),(10,11),(12,13),(14,15),(16,17)] => [2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,18,16,9] => [1,2,2,2,3,2,2,2,1,1]
[(1,2),(3,4),(5,6),(7,18),(8,9),(10,11),(12,13),(14,15),(16,17)] => [2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,18,16,7] => [1,2,2,3,2,2,2,2,1,1]
[(1,2),(3,4),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,18,16,5] => [1,2,3,2,2,2,2,2,1,1]
[(1,2),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,18,16,3] => [1,3,2,2,2,2,2,2,1,1]
[(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,18,16,1] => [2,2,2,2,2,2,2,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19] => [1,2,2,2,2,2,2,2,2,2,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,20),(18,19)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,19,20,18,17] => [1,2,2,2,2,2,2,2,3,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,17),(15,16)] => [2,1,4,3,6,5,8,7,10,9,12,11,16,17,18,15,14,13] => [1,2,2,2,2,2,4,1,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,20),(16,17),(18,19)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,19,16,20,18,15] => [1,2,2,2,2,2,2,3,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,15),(13,14),(16,17)] => [2,1,4,3,6,5,8,7,10,9,14,15,17,13,12,18,16,11] => [1,2,2,2,2,4,1,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,20),(14,15),(16,17),(18,19)] => [2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,19,16,20,18,13] => [1,2,2,2,2,2,3,2,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,18),(10,13),(11,12),(14,15),(16,17)] => [2,1,4,3,6,5,8,7,12,13,15,11,10,17,14,18,16,9] => [1,2,2,2,4,1,2,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,20),(12,13),(14,15),(16,17),(18,19)] => [2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,19,16,20,18,11] => [1,2,2,2,2,3,2,2,2,1,1]
[(1,2),(3,4),(5,6),(7,18),(8,11),(9,10),(12,13),(14,15),(16,17)] => [2,1,4,3,6,5,10,11,13,9,8,15,12,17,14,18,16,7] => [1,2,2,4,1,2,2,2,1,1]
[(1,2),(3,4),(5,6),(7,8),(9,20),(10,11),(12,13),(14,15),(16,17),(18,19)] => [2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,19,16,20,18,9] => [1,2,2,2,3,2,2,2,2,1,1]
[(1,2),(3,4),(5,18),(6,9),(7,8),(10,11),(12,13),(14,15),(16,17)] => [2,1,4,3,8,9,11,7,6,13,10,15,12,17,14,18,16,5] => [1,2,4,1,2,2,2,2,1,1]
[(1,2),(3,4),(5,6),(7,20),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => [2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,19,16,20,18,7] => [1,2,2,3,2,2,2,2,2,1,1]
[(1,2),(3,18),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)] => [2,1,6,7,9,5,4,11,8,13,10,15,12,17,14,18,16,3] => [1,4,1,2,2,2,2,2,1,1]
[(1,2),(3,4),(5,20),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => [2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,19,16,20,18,5] => [1,2,3,2,2,2,2,2,2,1,1]
[(1,18),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [4,5,7,3,2,9,6,11,8,13,10,15,12,17,14,18,16,1] => [3,1,2,2,2,2,2,2,1,1]
[(1,2),(3,20),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => [2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,3] => [1,3,2,2,2,2,2,2,2,1,1]
[(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,1] => [2,2,2,2,2,2,2,2,2,1,1]
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18)] => [9,10,11,12,13,14,15,16,8,7,6,5,4,3,2,1,18,17] => [8,1,1,1,1,1,1,1,2,1]
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => [2,1,11,12,13,14,15,16,17,18,10,9,8,7,6,5,4,3] => [1,9,1,1,1,1,1,1,1,1]
[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(19,20)] => [10,11,12,13,14,15,16,17,18,9,8,7,6,5,4,3,2,1,20,19] => [9,1,1,1,1,1,1,1,1,2,1]
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(17,18)] => [8,10,11,12,13,14,15,7,16,9,6,5,4,3,2,1,18,17] => [7,2,1,1,1,1,1,1,2,1]
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => [2,1,10,12,13,14,15,16,17,9,18,11,8,7,6,5,4,3] => [1,8,2,1,1,1,1,1,1,1]
[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => [2,1,12,13,14,15,16,17,18,19,20,11,10,9,8,7,6,5,4,3] => [1,10,1,1,1,1,1,1,1,1,1]
[(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(21,22)] => [11,12,13,14,15,16,17,18,19,20,10,9,8,7,6,5,4,3,2,1,22,21] => [10,1,1,1,1,1,1,1,1,1,2,1]
[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(19,20)] => [9,11,12,13,14,15,16,17,8,18,10,7,6,5,4,3,2,1,20,19] => [8,2,1,1,1,1,1,1,1,2,1]
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(17,18)] => [8,9,11,12,13,14,15,7,6,16,10,5,4,3,2,1,18,17] => [7,1,2,1,1,1,1,1,2,1]
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(17,18)] => [7,10,11,12,13,14,6,15,16,9,8,5,4,3,2,1,18,17] => [6,3,1,1,1,1,1,1,2,1]
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => [2,1,10,11,13,14,15,16,17,9,8,18,12,7,6,5,4,3] => [1,8,1,2,1,1,1,1,1,1]
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)] => [2,1,9,12,13,14,15,16,8,17,18,11,10,7,6,5,4,3] => [1,7,3,1,1,1,1,1,1,1]
[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)] => [2,1,11,13,14,15,16,17,18,19,10,20,12,9,8,7,6,5,4,3] => [1,9,2,1,1,1,1,1,1,1,1]
[(1,2),(3,22),(4,21),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => [2,1,13,14,15,16,17,18,19,20,21,22,12,11,10,9,8,7,6,5,4,3] => [1,11,1,1,1,1,1,1,1,1,1,1]
Map
non-nesting-exceedence permutation
Description
The fixed-point-free permutation with deficiencies given by the perfect matching, no alignments and no inversions between exceedences.
Put differently, the exceedences form the unique non-nesting perfect matching whose openers coincide with those of the given perfect matching.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.