Identifier
Mp00058:
Perfect matchings
—to permutation⟶
Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Images
[(1,2)] => [2,1] => [1,2]
[(1,2),(3,4)] => [2,1,4,3] => [3,2,1,4]
[(1,3),(2,4)] => [3,4,1,2] => [4,1,2,3]
[(1,4),(2,3)] => [4,3,2,1] => [1,4,3,2]
[(1,2),(3,4),(5,6)] => [2,1,4,3,6,5] => [3,2,5,4,1,6]
[(1,3),(2,4),(5,6)] => [3,4,1,2,6,5] => [4,5,2,3,1,6]
[(1,4),(2,3),(5,6)] => [4,3,2,1,6,5] => [5,4,3,2,1,6]
[(1,5),(2,3),(4,6)] => [5,3,2,6,1,4] => [6,4,3,1,2,5]
[(1,6),(2,3),(4,5)] => [6,3,2,5,4,1] => [1,4,3,6,5,2]
[(1,6),(2,4),(3,5)] => [6,4,5,2,3,1] => [1,5,6,3,4,2]
[(1,5),(2,4),(3,6)] => [5,4,6,2,1,3] => [6,5,1,3,2,4]
[(1,4),(2,5),(3,6)] => [4,5,6,1,2,3] => [5,6,1,2,3,4]
[(1,3),(2,5),(4,6)] => [3,5,1,6,2,4] => [4,6,2,1,3,5]
[(1,2),(3,5),(4,6)] => [2,1,5,6,3,4] => [3,2,6,1,4,5]
[(1,2),(3,6),(4,5)] => [2,1,6,5,4,3] => [3,2,1,6,5,4]
[(1,3),(2,6),(4,5)] => [3,6,1,5,4,2] => [4,1,2,6,5,3]
[(1,4),(2,6),(3,5)] => [4,6,5,1,3,2] => [5,1,6,2,4,3]
[(1,5),(2,6),(3,4)] => [5,6,4,3,1,2] => [6,1,5,4,2,3]
[(1,6),(2,5),(3,4)] => [6,5,4,3,2,1] => [1,6,5,4,3,2]
[(1,2),(3,4),(5,6),(7,8)] => [2,1,4,3,6,5,8,7] => [3,2,5,4,7,6,1,8]
[(1,3),(2,4),(5,6),(7,8)] => [3,4,1,2,6,5,8,7] => [4,5,2,3,7,6,1,8]
[(1,4),(2,3),(5,6),(7,8)] => [4,3,2,1,6,5,8,7] => [5,4,3,2,7,6,1,8]
[(1,5),(2,3),(4,6),(7,8)] => [5,3,2,6,1,4,8,7] => [6,4,3,7,2,5,1,8]
[(1,6),(2,3),(4,5),(7,8)] => [6,3,2,5,4,1,8,7] => [7,4,3,6,5,2,1,8]
[(1,7),(2,3),(4,5),(6,8)] => [7,3,2,5,4,8,1,6] => [8,4,3,6,5,1,2,7]
[(1,8),(2,3),(4,5),(6,7)] => [8,3,2,5,4,7,6,1] => [1,4,3,6,5,8,7,2]
[(1,8),(2,4),(3,5),(6,7)] => [8,4,5,2,3,7,6,1] => [1,5,6,3,4,8,7,2]
[(1,7),(2,4),(3,5),(6,8)] => [7,4,5,2,3,8,1,6] => [8,5,6,3,4,1,2,7]
[(1,6),(2,4),(3,5),(7,8)] => [6,4,5,2,3,1,8,7] => [7,5,6,3,4,2,1,8]
[(1,5),(2,4),(3,6),(7,8)] => [5,4,6,2,1,3,8,7] => [6,5,7,3,2,4,1,8]
[(1,4),(2,5),(3,6),(7,8)] => [4,5,6,1,2,3,8,7] => [5,6,7,2,3,4,1,8]
[(1,3),(2,5),(4,6),(7,8)] => [3,5,1,6,2,4,8,7] => [4,6,2,7,3,5,1,8]
[(1,2),(3,5),(4,6),(7,8)] => [2,1,5,6,3,4,8,7] => [3,2,6,7,4,5,1,8]
[(1,2),(3,6),(4,5),(7,8)] => [2,1,6,5,4,3,8,7] => [3,2,7,6,5,4,1,8]
[(1,3),(2,6),(4,5),(7,8)] => [3,6,1,5,4,2,8,7] => [4,7,2,6,5,3,1,8]
[(1,4),(2,6),(3,5),(7,8)] => [4,6,5,1,3,2,8,7] => [5,7,6,2,4,3,1,8]
[(1,5),(2,6),(3,4),(7,8)] => [5,6,4,3,1,2,8,7] => [6,7,5,4,2,3,1,8]
[(1,6),(2,5),(3,4),(7,8)] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,1,8]
[(1,7),(2,5),(3,4),(6,8)] => [7,5,4,3,2,8,1,6] => [8,6,5,4,3,1,2,7]
[(1,8),(2,5),(3,4),(6,7)] => [8,5,4,3,2,7,6,1] => [1,6,5,4,3,8,7,2]
[(1,8),(2,6),(3,4),(5,7)] => [8,6,4,3,7,2,5,1] => [1,7,5,4,8,3,6,2]
[(1,7),(2,6),(3,4),(5,8)] => [7,6,4,3,8,2,1,5] => [8,7,5,4,1,3,2,6]
[(1,6),(2,7),(3,4),(5,8)] => [6,7,4,3,8,1,2,5] => [7,8,5,4,1,2,3,6]
[(1,5),(2,7),(3,4),(6,8)] => [5,7,4,3,1,8,2,6] => [6,8,5,4,2,1,3,7]
[(1,4),(2,7),(3,5),(6,8)] => [4,7,5,1,3,8,2,6] => [5,8,6,2,4,1,3,7]
[(1,3),(2,7),(4,5),(6,8)] => [3,7,1,5,4,8,2,6] => [4,8,2,6,5,1,3,7]
[(1,2),(3,7),(4,5),(6,8)] => [2,1,7,5,4,8,3,6] => [3,2,8,6,5,1,4,7]
[(1,2),(3,8),(4,5),(6,7)] => [2,1,8,5,4,7,6,3] => [3,2,1,6,5,8,7,4]
[(1,3),(2,8),(4,5),(6,7)] => [3,8,1,5,4,7,6,2] => [4,1,2,6,5,8,7,3]
[(1,4),(2,8),(3,5),(6,7)] => [4,8,5,1,3,7,6,2] => [5,1,6,2,4,8,7,3]
[(1,5),(2,8),(3,4),(6,7)] => [5,8,4,3,1,7,6,2] => [6,1,5,4,2,8,7,3]
[(1,6),(2,8),(3,4),(5,7)] => [6,8,4,3,7,1,5,2] => [7,1,5,4,8,2,6,3]
[(1,7),(2,8),(3,4),(5,6)] => [7,8,4,3,6,5,1,2] => [8,1,5,4,7,6,2,3]
[(1,8),(2,7),(3,4),(5,6)] => [8,7,4,3,6,5,2,1] => [1,8,5,4,7,6,3,2]
[(1,8),(2,7),(3,5),(4,6)] => [8,7,5,6,3,4,2,1] => [1,8,6,7,4,5,3,2]
[(1,7),(2,8),(3,5),(4,6)] => [7,8,5,6,3,4,1,2] => [8,1,6,7,4,5,2,3]
[(1,6),(2,8),(3,5),(4,7)] => [6,8,5,7,3,1,4,2] => [7,1,6,8,4,2,5,3]
[(1,5),(2,8),(3,6),(4,7)] => [5,8,6,7,1,3,4,2] => [6,1,7,8,2,4,5,3]
[(1,4),(2,8),(3,6),(5,7)] => [4,8,6,1,7,3,5,2] => [5,1,7,2,8,4,6,3]
[(1,3),(2,8),(4,6),(5,7)] => [3,8,1,6,7,4,5,2] => [4,1,2,7,8,5,6,3]
[(1,2),(3,8),(4,6),(5,7)] => [2,1,8,6,7,4,5,3] => [3,2,1,7,8,5,6,4]
[(1,2),(3,7),(4,6),(5,8)] => [2,1,7,6,8,4,3,5] => [3,2,8,7,1,5,4,6]
[(1,3),(2,7),(4,6),(5,8)] => [3,7,1,6,8,4,2,5] => [4,8,2,7,1,5,3,6]
[(1,4),(2,7),(3,6),(5,8)] => [4,7,6,1,8,3,2,5] => [5,8,7,2,1,4,3,6]
[(1,5),(2,7),(3,6),(4,8)] => [5,7,6,8,1,3,2,4] => [6,8,7,1,2,4,3,5]
[(1,6),(2,7),(3,5),(4,8)] => [6,7,5,8,3,1,2,4] => [7,8,6,1,4,2,3,5]
[(1,7),(2,6),(3,5),(4,8)] => [7,6,5,8,3,2,1,4] => [8,7,6,1,4,3,2,5]
[(1,8),(2,6),(3,5),(4,7)] => [8,6,5,7,3,2,4,1] => [1,7,6,8,4,3,5,2]
[(1,8),(2,5),(3,6),(4,7)] => [8,5,6,7,2,3,4,1] => [1,6,7,8,3,4,5,2]
[(1,7),(2,5),(3,6),(4,8)] => [7,5,6,8,2,3,1,4] => [8,6,7,1,3,4,2,5]
[(1,6),(2,5),(3,7),(4,8)] => [6,5,7,8,2,1,3,4] => [7,6,8,1,3,2,4,5]
[(1,5),(2,6),(3,7),(4,8)] => [5,6,7,8,1,2,3,4] => [6,7,8,1,2,3,4,5]
[(1,4),(2,6),(3,7),(5,8)] => [4,6,7,1,8,2,3,5] => [5,7,8,2,1,3,4,6]
[(1,3),(2,6),(4,7),(5,8)] => [3,6,1,7,8,2,4,5] => [4,7,2,8,1,3,5,6]
[(1,2),(3,6),(4,7),(5,8)] => [2,1,6,7,8,3,4,5] => [3,2,7,8,1,4,5,6]
[(1,2),(3,5),(4,7),(6,8)] => [2,1,5,7,3,8,4,6] => [3,2,6,8,4,1,5,7]
[(1,3),(2,5),(4,7),(6,8)] => [3,5,1,7,2,8,4,6] => [4,6,2,8,3,1,5,7]
[(1,4),(2,5),(3,7),(6,8)] => [4,5,7,1,2,8,3,6] => [5,6,8,2,3,1,4,7]
[(1,5),(2,4),(3,7),(6,8)] => [5,4,7,2,1,8,3,6] => [6,5,8,3,2,1,4,7]
[(1,6),(2,4),(3,7),(5,8)] => [6,4,7,2,8,1,3,5] => [7,5,8,3,1,2,4,6]
[(1,7),(2,4),(3,6),(5,8)] => [7,4,6,2,8,3,1,5] => [8,5,7,3,1,4,2,6]
[(1,8),(2,4),(3,6),(5,7)] => [8,4,6,2,7,3,5,1] => [1,5,7,3,8,4,6,2]
[(1,8),(2,3),(4,6),(5,7)] => [8,3,2,6,7,4,5,1] => [1,4,3,7,8,5,6,2]
[(1,7),(2,3),(4,6),(5,8)] => [7,3,2,6,8,4,1,5] => [8,4,3,7,1,5,2,6]
[(1,6),(2,3),(4,7),(5,8)] => [6,3,2,7,8,1,4,5] => [7,4,3,8,1,2,5,6]
[(1,5),(2,3),(4,7),(6,8)] => [5,3,2,7,1,8,4,6] => [6,4,3,8,2,1,5,7]
[(1,4),(2,3),(5,7),(6,8)] => [4,3,2,1,7,8,5,6] => [5,4,3,2,8,1,6,7]
[(1,3),(2,4),(5,7),(6,8)] => [3,4,1,2,7,8,5,6] => [4,5,2,3,8,1,6,7]
[(1,2),(3,4),(5,7),(6,8)] => [2,1,4,3,7,8,5,6] => [3,2,5,4,8,1,6,7]
[(1,2),(3,4),(5,8),(6,7)] => [2,1,4,3,8,7,6,5] => [3,2,5,4,1,8,7,6]
[(1,3),(2,4),(5,8),(6,7)] => [3,4,1,2,8,7,6,5] => [4,5,2,3,1,8,7,6]
[(1,4),(2,3),(5,8),(6,7)] => [4,3,2,1,8,7,6,5] => [5,4,3,2,1,8,7,6]
[(1,5),(2,3),(4,8),(6,7)] => [5,3,2,8,1,7,6,4] => [6,4,3,1,2,8,7,5]
[(1,6),(2,3),(4,8),(5,7)] => [6,3,2,8,7,1,5,4] => [7,4,3,1,8,2,6,5]
[(1,7),(2,3),(4,8),(5,6)] => [7,3,2,8,6,5,1,4] => [8,4,3,1,7,6,2,5]
[(1,8),(2,3),(4,7),(5,6)] => [8,3,2,7,6,5,4,1] => [1,4,3,8,7,6,5,2]
[(1,8),(2,4),(3,7),(5,6)] => [8,4,7,2,6,5,3,1] => [1,5,8,3,7,6,4,2]
[(1,7),(2,4),(3,8),(5,6)] => [7,4,8,2,6,5,1,3] => [8,5,1,3,7,6,2,4]
[(1,6),(2,4),(3,8),(5,7)] => [6,4,8,2,7,1,5,3] => [7,5,1,3,8,2,6,4]
[(1,5),(2,4),(3,8),(6,7)] => [5,4,8,2,1,7,6,3] => [6,5,1,3,2,8,7,4]
[(1,4),(2,5),(3,8),(6,7)] => [4,5,8,1,2,7,6,3] => [5,6,1,2,3,8,7,4]
>>> Load all 802 entries. <<<
[(1,3),(2,5),(4,8),(6,7)] => [3,5,1,8,2,7,6,4] => [4,6,2,1,3,8,7,5]
[(1,2),(3,5),(4,8),(6,7)] => [2,1,5,8,3,7,6,4] => [3,2,6,1,4,8,7,5]
[(1,2),(3,6),(4,8),(5,7)] => [2,1,6,8,7,3,5,4] => [3,2,7,1,8,4,6,5]
[(1,3),(2,6),(4,8),(5,7)] => [3,6,1,8,7,2,5,4] => [4,7,2,1,8,3,6,5]
[(1,4),(2,6),(3,8),(5,7)] => [4,6,8,1,7,2,5,3] => [5,7,1,2,8,3,6,4]
[(1,5),(2,6),(3,8),(4,7)] => [5,6,8,7,1,2,4,3] => [6,7,1,8,2,3,5,4]
[(1,6),(2,5),(3,8),(4,7)] => [6,5,8,7,2,1,4,3] => [7,6,1,8,3,2,5,4]
[(1,7),(2,5),(3,8),(4,6)] => [7,5,8,6,2,4,1,3] => [8,6,1,7,3,5,2,4]
[(1,8),(2,5),(3,7),(4,6)] => [8,5,7,6,2,4,3,1] => [1,6,8,7,3,5,4,2]
[(1,8),(2,6),(3,7),(4,5)] => [8,6,7,5,4,2,3,1] => [1,7,8,6,5,3,4,2]
[(1,7),(2,6),(3,8),(4,5)] => [7,6,8,5,4,2,1,3] => [8,7,1,6,5,3,2,4]
[(1,6),(2,7),(3,8),(4,5)] => [6,7,8,5,4,1,2,3] => [7,8,1,6,5,2,3,4]
[(1,5),(2,7),(3,8),(4,6)] => [5,7,8,6,1,4,2,3] => [6,8,1,7,2,5,3,4]
[(1,4),(2,7),(3,8),(5,6)] => [4,7,8,1,6,5,2,3] => [5,8,1,2,7,6,3,4]
[(1,3),(2,7),(4,8),(5,6)] => [3,7,1,8,6,5,2,4] => [4,8,2,1,7,6,3,5]
[(1,2),(3,7),(4,8),(5,6)] => [2,1,7,8,6,5,3,4] => [3,2,8,1,7,6,4,5]
[(1,2),(3,8),(4,7),(5,6)] => [2,1,8,7,6,5,4,3] => [3,2,1,8,7,6,5,4]
[(1,3),(2,8),(4,7),(5,6)] => [3,8,1,7,6,5,4,2] => [4,1,2,8,7,6,5,3]
[(1,4),(2,8),(3,7),(5,6)] => [4,8,7,1,6,5,3,2] => [5,1,8,2,7,6,4,3]
[(1,5),(2,8),(3,7),(4,6)] => [5,8,7,6,1,4,3,2] => [6,1,8,7,2,5,4,3]
[(1,6),(2,8),(3,7),(4,5)] => [6,8,7,5,4,1,3,2] => [7,1,8,6,5,2,4,3]
[(1,7),(2,8),(3,6),(4,5)] => [7,8,6,5,4,3,1,2] => [8,1,7,6,5,4,2,3]
[(1,8),(2,7),(3,6),(4,5)] => [8,7,6,5,4,3,2,1] => [1,8,7,6,5,4,3,2]
[(1,2),(3,4),(5,6),(7,8),(9,10)] => [2,1,4,3,6,5,8,7,10,9] => [3,2,5,4,7,6,9,8,1,10]
[(1,3),(2,4),(5,6),(7,8),(9,10)] => [3,4,1,2,6,5,8,7,10,9] => [4,5,2,3,7,6,9,8,1,10]
[(1,4),(2,3),(5,6),(7,8),(9,10)] => [4,3,2,1,6,5,8,7,10,9] => [5,4,3,2,7,6,9,8,1,10]
[(1,6),(2,3),(4,5),(7,8),(9,10)] => [6,3,2,5,4,1,8,7,10,9] => [7,4,3,6,5,2,9,8,1,10]
[(1,8),(2,3),(4,5),(6,7),(9,10)] => [8,3,2,5,4,7,6,1,10,9] => [9,4,3,6,5,8,7,2,1,10]
[(1,10),(2,3),(4,5),(6,7),(8,9)] => [10,3,2,5,4,7,6,9,8,1] => [1,4,3,6,5,8,7,10,9,2]
[(1,6),(2,4),(3,5),(7,8),(9,10)] => [6,4,5,2,3,1,8,7,10,9] => [7,5,6,3,4,2,9,8,1,10]
[(1,4),(2,5),(3,6),(7,8),(9,10)] => [4,5,6,1,2,3,8,7,10,9] => [5,6,7,2,3,4,9,8,1,10]
[(1,3),(2,5),(4,6),(7,8),(9,10)] => [3,5,1,6,2,4,8,7,10,9] => [4,6,2,7,3,5,9,8,1,10]
[(1,2),(3,5),(4,6),(7,8),(9,10)] => [2,1,5,6,3,4,8,7,10,9] => [3,2,6,7,4,5,9,8,1,10]
[(1,2),(3,6),(4,5),(7,8),(9,10)] => [2,1,6,5,4,3,8,7,10,9] => [3,2,7,6,5,4,9,8,1,10]
[(1,6),(2,5),(3,4),(7,8),(9,10)] => [6,5,4,3,2,1,8,7,10,9] => [7,6,5,4,3,2,9,8,1,10]
[(1,8),(2,5),(3,4),(6,7),(9,10)] => [8,5,4,3,2,7,6,1,10,9] => [9,6,5,4,3,8,7,2,1,10]
[(1,10),(2,5),(3,4),(6,7),(8,9)] => [10,5,4,3,2,7,6,9,8,1] => [1,6,5,4,3,8,7,10,9,2]
[(1,2),(3,8),(4,5),(6,7),(9,10)] => [2,1,8,5,4,7,6,3,10,9] => [3,2,9,6,5,8,7,4,1,10]
[(1,8),(2,7),(3,4),(5,6),(9,10)] => [8,7,4,3,6,5,2,1,10,9] => [9,8,5,4,7,6,3,2,1,10]
[(1,10),(2,7),(3,4),(5,6),(8,9)] => [10,7,4,3,6,5,2,9,8,1] => [1,8,5,4,7,6,3,10,9,2]
[(1,2),(3,10),(4,5),(6,7),(8,9)] => [2,1,10,5,4,7,6,9,8,3] => [3,2,1,6,5,8,7,10,9,4]
[(1,10),(2,9),(3,4),(5,6),(7,8)] => [10,9,4,3,6,5,8,7,2,1] => [1,10,5,4,7,6,9,8,3,2]
[(1,8),(2,9),(3,5),(4,6),(7,10)] => [8,9,5,6,3,4,10,1,2,7] => [9,10,6,7,4,5,1,2,3,8]
[(1,2),(3,8),(4,6),(5,7),(9,10)] => [2,1,8,6,7,4,5,3,10,9] => [3,2,9,7,8,5,6,4,1,10]
[(1,5),(2,6),(3,7),(4,8),(9,10)] => [5,6,7,8,1,2,3,4,10,9] => [6,7,8,9,2,3,4,5,1,10]
[(1,4),(2,6),(3,7),(5,8),(9,10)] => [4,6,7,1,8,2,3,5,10,9] => [5,7,8,2,9,3,4,6,1,10]
[(1,3),(2,6),(4,7),(5,8),(9,10)] => [3,6,1,7,8,2,4,5,10,9] => [4,7,2,8,9,3,5,6,1,10]
[(1,2),(3,6),(4,7),(5,8),(9,10)] => [2,1,6,7,8,3,4,5,10,9] => [3,2,7,8,9,4,5,6,1,10]
[(1,2),(3,5),(4,7),(6,8),(9,10)] => [2,1,5,7,3,8,4,6,10,9] => [3,2,6,8,4,9,5,7,1,10]
[(1,3),(2,5),(4,7),(6,8),(9,10)] => [3,5,1,7,2,8,4,6,10,9] => [4,6,2,8,3,9,5,7,1,10]
[(1,4),(2,5),(3,7),(6,8),(9,10)] => [4,5,7,1,2,8,3,6,10,9] => [5,6,8,2,3,9,4,7,1,10]
[(1,3),(2,4),(5,7),(6,8),(9,10)] => [3,4,1,2,7,8,5,6,10,9] => [4,5,2,3,8,9,6,7,1,10]
[(1,2),(3,4),(5,7),(6,8),(9,10)] => [2,1,4,3,7,8,5,6,10,9] => [3,2,5,4,8,9,6,7,1,10]
[(1,2),(3,4),(5,8),(6,7),(9,10)] => [2,1,4,3,8,7,6,5,10,9] => [3,2,5,4,9,8,7,6,1,10]
[(1,4),(2,3),(5,8),(6,7),(9,10)] => [4,3,2,1,8,7,6,5,10,9] => [5,4,3,2,9,8,7,6,1,10]
[(1,8),(2,3),(4,7),(5,6),(9,10)] => [8,3,2,7,6,5,4,1,10,9] => [9,4,3,8,7,6,5,2,1,10]
[(1,10),(2,3),(4,7),(5,6),(8,9)] => [10,3,2,7,6,5,4,9,8,1] => [1,4,3,8,7,6,5,10,9,2]
[(1,2),(3,8),(4,7),(5,6),(9,10)] => [2,1,8,7,6,5,4,3,10,9] => [3,2,9,8,7,6,5,4,1,10]
[(1,8),(2,7),(3,6),(4,5),(9,10)] => [8,7,6,5,4,3,2,1,10,9] => [9,8,7,6,5,4,3,2,1,10]
[(1,9),(2,7),(3,6),(4,5),(8,10)] => [9,7,6,5,4,3,2,10,1,8] => [10,8,7,6,5,4,3,1,2,9]
[(1,10),(2,7),(3,6),(4,5),(8,9)] => [10,7,6,5,4,3,2,9,8,1] => [1,8,7,6,5,4,3,10,9,2]
[(1,2),(3,10),(4,7),(5,6),(8,9)] => [2,1,10,7,6,5,4,9,8,3] => [3,2,1,8,7,6,5,10,9,4]
[(1,10),(2,9),(3,6),(4,5),(7,8)] => [10,9,6,5,4,3,8,7,2,1] => [1,10,7,6,5,4,9,8,3,2]
[(1,2),(3,4),(5,10),(6,7),(8,9)] => [2,1,4,3,10,7,6,9,8,5] => [3,2,5,4,1,8,7,10,9,6]
[(1,4),(2,3),(5,10),(6,7),(8,9)] => [4,3,2,1,10,7,6,9,8,5] => [5,4,3,2,1,8,7,10,9,6]
[(1,10),(2,3),(4,9),(5,6),(7,8)] => [10,3,2,9,6,5,8,7,4,1] => [1,4,3,10,7,6,9,8,5,2]
[(1,2),(3,10),(4,9),(5,6),(7,8)] => [2,1,10,9,6,5,8,7,4,3] => [3,2,1,10,7,6,9,8,5,4]
[(1,10),(2,9),(3,8),(4,5),(6,7)] => [10,9,8,5,4,7,6,3,2,1] => [1,10,9,6,5,8,7,4,3,2]
[(1,4),(2,9),(3,10),(5,7),(6,8)] => [4,9,10,1,7,8,5,6,2,3] => [5,10,1,2,8,9,6,7,3,4]
[(1,10),(2,8),(3,9),(4,6),(5,7)] => [10,8,9,6,7,4,5,2,3,1] => [1,9,10,7,8,5,6,3,4,2]
[(1,2),(3,4),(5,10),(6,8),(7,9)] => [2,1,4,3,10,8,9,6,7,5] => [3,2,5,4,1,9,10,7,8,6]
[(1,7),(2,6),(3,9),(4,8),(5,10)] => [7,6,9,8,10,2,1,4,3,5] => [8,7,10,9,1,3,2,5,4,6]
[(1,6),(2,7),(3,9),(4,8),(5,10)] => [6,7,9,8,10,1,2,4,3,5] => [7,8,10,9,1,2,3,5,4,6]
[(1,6),(2,8),(3,9),(4,7),(5,10)] => [6,8,9,7,10,1,4,2,3,5] => [7,9,10,8,1,2,5,3,4,6]
[(1,7),(2,8),(3,9),(4,6),(5,10)] => [7,8,9,6,10,4,1,2,3,5] => [8,9,10,7,1,5,2,3,4,6]
[(1,8),(2,7),(3,9),(4,6),(5,10)] => [8,7,9,6,10,4,2,1,3,5] => [9,8,10,7,1,5,3,2,4,6]
[(1,9),(2,8),(3,7),(4,6),(5,10)] => [9,8,7,6,10,4,3,2,1,5] => [10,9,8,7,1,5,4,3,2,6]
[(1,8),(2,9),(3,7),(4,6),(5,10)] => [8,9,7,6,10,4,3,1,2,5] => [9,10,8,7,1,5,4,2,3,6]
[(1,7),(2,9),(3,8),(4,6),(5,10)] => [7,9,8,6,10,4,1,3,2,5] => [8,10,9,7,1,5,2,4,3,6]
[(1,6),(2,9),(3,8),(4,7),(5,10)] => [6,9,8,7,10,1,4,3,2,5] => [7,10,9,8,1,2,5,4,3,6]
[(1,9),(2,7),(3,6),(4,8),(5,10)] => [9,7,6,8,10,3,2,4,1,5] => [10,8,7,9,1,4,3,5,2,6]
[(1,8),(2,7),(3,6),(4,9),(5,10)] => [8,7,6,9,10,3,2,1,4,5] => [9,8,7,10,1,4,3,2,5,6]
[(1,7),(2,8),(3,6),(4,9),(5,10)] => [7,8,6,9,10,3,1,2,4,5] => [8,9,7,10,1,4,2,3,5,6]
[(1,6),(2,8),(3,7),(4,9),(5,10)] => [6,8,7,9,10,1,3,2,4,5] => [7,9,8,10,1,2,4,3,5,6]
[(1,2),(3,7),(4,8),(5,9),(6,10)] => [2,1,7,8,9,10,3,4,5,6] => [3,2,8,9,10,1,4,5,6,7]
[(1,3),(2,7),(4,8),(5,9),(6,10)] => [3,7,1,8,9,10,2,4,5,6] => [4,8,2,9,10,1,3,5,6,7]
[(1,4),(2,7),(3,8),(5,9),(6,10)] => [4,7,8,1,9,10,2,3,5,6] => [5,8,9,2,10,1,3,4,6,7]
[(1,5),(2,7),(3,8),(4,9),(6,10)] => [5,7,8,9,1,10,2,3,4,6] => [6,8,9,10,2,1,3,4,5,7]
[(1,6),(2,7),(3,8),(4,9),(5,10)] => [6,7,8,9,10,1,2,3,4,5] => [7,8,9,10,1,2,3,4,5,6]
[(1,7),(2,6),(3,8),(4,9),(5,10)] => [7,6,8,9,10,2,1,3,4,5] => [8,7,9,10,1,3,2,4,5,6]
[(1,5),(2,6),(3,8),(4,9),(7,10)] => [5,6,8,9,1,2,10,3,4,7] => [6,7,9,10,2,3,1,4,5,8]
[(1,4),(2,6),(3,8),(5,9),(7,10)] => [4,6,8,1,9,2,10,3,5,7] => [5,7,9,2,10,3,1,4,6,8]
[(1,3),(2,6),(4,8),(5,9),(7,10)] => [3,6,1,8,9,2,10,4,5,7] => [4,7,2,9,10,3,1,5,6,8]
[(1,2),(3,6),(4,8),(5,9),(7,10)] => [2,1,6,8,9,3,10,4,5,7] => [3,2,7,9,10,4,1,5,6,8]
[(1,2),(3,5),(4,8),(6,9),(7,10)] => [2,1,5,8,3,9,10,4,6,7] => [3,2,6,9,4,10,1,5,7,8]
[(1,3),(2,5),(4,8),(6,9),(7,10)] => [3,5,1,8,2,9,10,4,6,7] => [4,6,2,9,3,10,1,5,7,8]
[(1,4),(2,5),(3,8),(6,9),(7,10)] => [4,5,8,1,2,9,10,3,6,7] => [5,6,9,2,3,10,1,4,7,8]
[(1,7),(2,3),(4,8),(5,9),(6,10)] => [7,3,2,8,9,10,1,4,5,6] => [8,4,3,9,10,1,2,5,6,7]
[(1,3),(2,4),(5,8),(6,9),(7,10)] => [3,4,1,2,8,9,10,5,6,7] => [4,5,2,3,9,10,1,6,7,8]
[(1,2),(3,4),(5,8),(6,9),(7,10)] => [2,1,4,3,8,9,10,5,6,7] => [3,2,5,4,9,10,1,6,7,8]
[(1,2),(3,4),(5,7),(6,9),(8,10)] => [2,1,4,3,7,9,5,10,6,8] => [3,2,5,4,8,10,6,1,7,9]
[(1,3),(2,4),(5,7),(6,9),(8,10)] => [3,4,1,2,7,9,5,10,6,8] => [4,5,2,3,8,10,6,1,7,9]
[(1,4),(2,5),(3,7),(6,9),(8,10)] => [4,5,7,1,2,9,3,10,6,8] => [5,6,8,2,3,10,4,1,7,9]
[(1,3),(2,5),(4,7),(6,9),(8,10)] => [3,5,1,7,2,9,4,10,6,8] => [4,6,2,8,3,10,5,1,7,9]
[(1,2),(3,5),(4,7),(6,9),(8,10)] => [2,1,5,7,3,9,4,10,6,8] => [3,2,6,8,4,10,5,1,7,9]
[(1,2),(3,6),(4,7),(5,9),(8,10)] => [2,1,6,7,9,3,4,10,5,8] => [3,2,7,8,10,4,5,1,6,9]
[(1,3),(2,6),(4,7),(5,9),(8,10)] => [3,6,1,7,9,2,4,10,5,8] => [4,7,2,8,10,3,5,1,6,9]
[(1,4),(2,6),(3,7),(5,9),(8,10)] => [4,6,7,1,9,2,3,10,5,8] => [5,7,8,2,10,3,4,1,6,9]
[(1,5),(2,6),(3,7),(4,9),(8,10)] => [5,6,7,9,1,2,3,10,4,8] => [6,7,8,10,2,3,4,1,5,9]
[(1,8),(2,5),(3,4),(6,9),(7,10)] => [8,5,4,3,2,9,10,1,6,7] => [9,6,5,4,3,10,1,2,7,8]
[(1,2),(3,5),(4,6),(7,9),(8,10)] => [2,1,5,6,3,4,9,10,7,8] => [3,2,6,7,4,5,10,1,8,9]
[(1,3),(2,5),(4,6),(7,9),(8,10)] => [3,5,1,6,2,4,9,10,7,8] => [4,6,2,7,3,5,10,1,8,9]
[(1,4),(2,5),(3,6),(7,9),(8,10)] => [4,5,6,1,2,3,9,10,7,8] => [5,6,7,2,3,4,10,1,8,9]
[(1,3),(2,4),(5,6),(7,9),(8,10)] => [3,4,1,2,6,5,9,10,7,8] => [4,5,2,3,7,6,10,1,8,9]
[(1,2),(3,4),(5,6),(7,9),(8,10)] => [2,1,4,3,6,5,9,10,7,8] => [3,2,5,4,7,6,10,1,8,9]
[(1,2),(3,4),(5,6),(7,10),(8,9)] => [2,1,4,3,6,5,10,9,8,7] => [3,2,5,4,7,6,1,10,9,8]
[(1,4),(2,3),(5,6),(7,10),(8,9)] => [4,3,2,1,6,5,10,9,8,7] => [5,4,3,2,7,6,1,10,9,8]
[(1,6),(2,3),(4,5),(7,10),(8,9)] => [6,3,2,5,4,1,10,9,8,7] => [7,4,3,6,5,2,1,10,9,8]
[(1,10),(2,3),(4,5),(6,9),(7,8)] => [10,3,2,5,4,9,8,7,6,1] => [1,4,3,6,5,10,9,8,7,2]
[(1,2),(3,6),(4,5),(7,10),(8,9)] => [2,1,6,5,4,3,10,9,8,7] => [3,2,7,6,5,4,1,10,9,8]
[(1,6),(2,5),(3,4),(7,10),(8,9)] => [6,5,4,3,2,1,10,9,8,7] => [7,6,5,4,3,2,1,10,9,8]
[(1,7),(2,5),(3,4),(6,10),(8,9)] => [7,5,4,3,2,10,1,9,8,6] => [8,6,5,4,3,1,2,10,9,7]
[(1,8),(2,5),(3,4),(6,10),(7,9)] => [8,5,4,3,2,10,9,1,7,6] => [9,6,5,4,3,1,10,2,8,7]
[(1,10),(2,5),(3,4),(6,9),(7,8)] => [10,5,4,3,2,9,8,7,6,1] => [1,6,5,4,3,10,9,8,7,2]
[(1,8),(2,6),(3,4),(5,10),(7,9)] => [8,6,4,3,10,2,9,1,7,5] => [9,7,5,4,1,3,10,2,8,6]
[(1,8),(2,7),(3,4),(5,10),(6,9)] => [8,7,4,3,10,9,2,1,6,5] => [9,8,5,4,1,10,3,2,7,6]
[(1,10),(2,7),(3,4),(5,9),(6,8)] => [10,7,4,3,9,8,2,6,5,1] => [1,8,5,4,10,9,3,7,6,2]
[(1,2),(3,10),(4,5),(6,9),(7,8)] => [2,1,10,5,4,9,8,7,6,3] => [3,2,1,6,5,10,9,8,7,4]
[(1,10),(2,9),(3,4),(5,8),(6,7)] => [10,9,4,3,8,7,6,5,2,1] => [1,10,5,4,9,8,7,6,3,2]
[(1,8),(2,10),(3,5),(4,9),(6,7)] => [8,10,5,9,3,7,6,1,4,2] => [9,1,6,10,4,8,7,2,5,3]
[(1,7),(2,10),(3,5),(4,9),(6,8)] => [7,10,5,9,3,8,1,6,4,2] => [8,1,6,10,4,9,2,7,5,3]
[(1,9),(2,7),(3,5),(4,10),(6,8)] => [9,7,5,10,3,8,2,6,1,4] => [10,8,6,1,4,9,3,7,2,5]
[(1,5),(2,6),(3,7),(4,10),(8,9)] => [5,6,7,10,1,2,3,9,8,4] => [6,7,8,1,2,3,4,10,9,5]
[(1,7),(2,6),(3,8),(4,10),(5,9)] => [7,6,8,10,9,2,1,3,5,4] => [8,7,9,1,10,3,2,4,6,5]
[(1,6),(2,7),(3,8),(4,10),(5,9)] => [6,7,8,10,9,1,2,3,5,4] => [7,8,9,1,10,2,3,4,6,5]
[(1,6),(2,8),(3,7),(4,10),(5,9)] => [6,8,7,10,9,1,3,2,5,4] => [7,9,8,1,10,2,4,3,6,5]
[(1,7),(2,8),(3,6),(4,10),(5,9)] => [7,8,6,10,9,3,1,2,5,4] => [8,9,7,1,10,4,2,3,6,5]
[(1,8),(2,7),(3,6),(4,10),(5,9)] => [8,7,6,10,9,3,2,1,5,4] => [9,8,7,1,10,4,3,2,6,5]
[(1,6),(2,9),(3,8),(4,10),(5,7)] => [6,9,8,10,7,1,5,3,2,4] => [7,10,9,1,8,2,6,4,3,5]
[(1,7),(2,9),(3,8),(4,10),(5,6)] => [7,9,8,10,6,5,1,3,2,4] => [8,10,9,1,7,6,2,4,3,5]
[(1,8),(2,9),(3,7),(4,10),(5,6)] => [8,9,7,10,6,5,3,1,2,4] => [9,10,8,1,7,6,4,2,3,5]
[(1,9),(2,8),(3,7),(4,10),(5,6)] => [9,8,7,10,6,5,3,2,1,4] => [10,9,8,1,7,6,4,3,2,5]
[(1,8),(2,7),(3,9),(4,10),(5,6)] => [8,7,9,10,6,5,2,1,3,4] => [9,8,10,1,7,6,3,2,4,5]
[(1,7),(2,8),(3,9),(4,10),(5,6)] => [7,8,9,10,6,5,1,2,3,4] => [8,9,10,1,7,6,2,3,4,5]
[(1,6),(2,8),(3,9),(4,10),(5,7)] => [6,8,9,10,7,1,5,2,3,4] => [7,9,10,1,8,2,6,3,4,5]
[(1,6),(2,7),(3,9),(4,10),(5,8)] => [6,7,9,10,8,1,2,5,3,4] => [7,8,10,1,9,2,3,6,4,5]
[(1,7),(2,6),(3,9),(4,10),(5,8)] => [7,6,9,10,8,2,1,5,3,4] => [8,7,10,1,9,3,2,6,4,5]
[(1,2),(3,4),(5,10),(6,9),(7,8)] => [2,1,4,3,10,9,8,7,6,5] => [3,2,5,4,1,10,9,8,7,6]
[(1,4),(2,3),(5,10),(6,9),(7,8)] => [4,3,2,1,10,9,8,7,6,5] => [5,4,3,2,1,10,9,8,7,6]
[(1,5),(2,3),(4,10),(6,9),(7,8)] => [5,3,2,10,1,9,8,7,6,4] => [6,4,3,1,2,10,9,8,7,5]
[(1,6),(2,3),(4,10),(5,9),(7,8)] => [6,3,2,10,9,1,8,7,5,4] => [7,4,3,1,10,2,9,8,6,5]
[(1,7),(2,3),(4,10),(5,9),(6,8)] => [7,3,2,10,9,8,1,6,5,4] => [8,4,3,1,10,9,2,7,6,5]
[(1,8),(2,3),(4,10),(5,9),(6,7)] => [8,3,2,10,9,7,6,1,5,4] => [9,4,3,1,10,8,7,2,6,5]
[(1,10),(2,3),(4,9),(5,8),(6,7)] => [10,3,2,9,8,7,6,5,4,1] => [1,4,3,10,9,8,7,6,5,2]
[(1,7),(2,4),(3,10),(5,9),(6,8)] => [7,4,10,2,9,8,1,6,5,3] => [8,5,1,3,10,9,2,7,6,4]
[(1,6),(2,4),(3,10),(5,9),(7,8)] => [6,4,10,2,9,1,8,7,5,3] => [7,5,1,3,10,2,9,8,6,4]
[(1,4),(2,5),(3,10),(6,9),(7,8)] => [4,5,10,1,2,9,8,7,6,3] => [5,6,1,2,3,10,9,8,7,4]
[(1,6),(2,5),(3,10),(4,9),(7,8)] => [6,5,10,9,2,1,8,7,4,3] => [7,6,1,10,3,2,9,8,5,4]
[(1,8),(2,5),(3,10),(4,9),(6,7)] => [8,5,10,9,2,7,6,1,4,3] => [9,6,1,10,3,8,7,2,5,4]
[(1,7),(2,6),(3,10),(4,9),(5,8)] => [7,6,10,9,8,2,1,5,4,3] => [8,7,1,10,9,3,2,6,5,4]
[(1,6),(2,7),(3,10),(4,9),(5,8)] => [6,7,10,9,8,1,2,5,4,3] => [7,8,1,10,9,2,3,6,5,4]
[(1,6),(2,8),(3,10),(4,9),(5,7)] => [6,8,10,9,7,1,5,2,4,3] => [7,9,1,10,8,2,6,3,5,4]
[(1,7),(2,8),(3,10),(4,9),(5,6)] => [7,8,10,9,6,5,1,2,4,3] => [8,9,1,10,7,6,2,3,5,4]
[(1,8),(2,7),(3,10),(4,9),(5,6)] => [8,7,10,9,6,5,2,1,4,3] => [9,8,1,10,7,6,3,2,5,4]
[(1,9),(2,8),(3,10),(4,7),(5,6)] => [9,8,10,7,6,5,4,2,1,3] => [10,9,1,8,7,6,5,3,2,4]
[(1,8),(2,9),(3,10),(4,7),(5,6)] => [8,9,10,7,6,5,4,1,2,3] => [9,10,1,8,7,6,5,2,3,4]
[(1,7),(2,9),(3,10),(4,8),(5,6)] => [7,9,10,8,6,5,1,4,2,3] => [8,10,1,9,7,6,2,5,3,4]
[(1,6),(2,9),(3,10),(4,8),(5,7)] => [6,9,10,8,7,1,5,4,2,3] => [7,10,1,9,8,2,6,5,3,4]
[(1,2),(3,10),(4,9),(5,8),(6,7)] => [2,1,10,9,8,7,6,5,4,3] => [3,2,1,10,9,8,7,6,5,4]
[(1,3),(2,10),(4,9),(5,8),(6,7)] => [3,10,1,9,8,7,6,5,4,2] => [4,1,2,10,9,8,7,6,5,3]
[(1,4),(2,10),(3,9),(5,8),(6,7)] => [4,10,9,1,8,7,6,5,3,2] => [5,1,10,2,9,8,7,6,4,3]
[(1,5),(2,10),(3,9),(4,8),(6,7)] => [5,10,9,8,1,7,6,4,3,2] => [6,1,10,9,2,8,7,5,4,3]
[(1,6),(2,10),(3,9),(4,8),(5,7)] => [6,10,9,8,7,1,5,4,3,2] => [7,1,10,9,8,2,6,5,4,3]
[(1,7),(2,10),(3,9),(4,8),(5,6)] => [7,10,9,8,6,5,1,4,3,2] => [8,1,10,9,7,6,2,5,4,3]
[(1,8),(2,10),(3,9),(4,7),(5,6)] => [8,10,9,7,6,5,4,1,3,2] => [9,1,10,8,7,6,5,2,4,3]
[(1,9),(2,10),(3,8),(4,7),(5,6)] => [9,10,8,7,6,5,4,3,1,2] => [10,1,9,8,7,6,5,4,2,3]
[(1,10),(2,9),(3,8),(4,7),(5,6)] => [10,9,8,7,6,5,4,3,2,1] => [1,10,9,8,7,6,5,4,3,2]
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [12,11,10,9,8,7,6,5,4,3,2,1] => [1,12,11,10,9,8,7,6,5,4,3,2]
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [2,1,10,9,8,7,6,5,4,3,12,11] => [3,2,11,10,9,8,7,6,5,4,1,12]
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [12,3,2,9,8,7,6,5,4,11,10,1] => [1,4,3,10,9,8,7,6,5,12,11,2]
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [2,1,12,9,8,7,6,5,4,11,10,3] => [3,2,1,10,9,8,7,6,5,12,11,4]
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [10,3,2,9,8,7,6,5,4,1,12,11] => [11,4,3,10,9,8,7,6,5,2,1,12]
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [12,11,4,3,8,7,6,5,10,9,2,1] => [1,12,5,4,9,8,7,6,11,10,3,2]
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [2,1,4,3,8,7,6,5,10,9,12,11] => [3,2,5,4,9,8,7,6,11,10,1,12]
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [12,3,2,11,8,7,6,5,10,9,4,1] => [1,4,3,12,9,8,7,6,11,10,5,2]
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [2,1,12,11,8,7,6,5,10,9,4,3] => [3,2,1,12,9,8,7,6,11,10,5,4]
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [4,3,2,1,8,7,6,5,10,9,12,11] => [5,4,3,2,9,8,7,6,11,10,1,12]
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [12,9,4,3,8,7,6,5,2,11,10,1] => [1,10,5,4,9,8,7,6,3,12,11,2]
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [2,1,4,3,8,7,6,5,12,11,10,9] => [3,2,5,4,9,8,7,6,1,12,11,10]
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [10,9,4,3,8,7,6,5,2,1,12,11] => [11,10,5,4,9,8,7,6,3,2,1,12]
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [4,3,2,1,8,7,6,5,12,11,10,9] => [5,4,3,2,9,8,7,6,1,12,11,10]
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [12,11,10,5,4,7,6,9,8,3,2,1] => [1,12,11,6,5,8,7,10,9,4,3,2]
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [2,1,10,5,4,7,6,9,8,3,12,11] => [3,2,11,6,5,8,7,10,9,4,1,12]
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [12,3,2,5,4,7,6,9,8,11,10,1] => [1,4,3,6,5,8,7,10,9,12,11,2]
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [2,1,12,5,4,7,6,9,8,11,10,3] => [3,2,1,6,5,8,7,10,9,12,11,4]
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [10,3,2,5,4,7,6,9,8,1,12,11] => [11,4,3,6,5,8,7,10,9,2,1,12]
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [12,11,4,3,10,7,6,9,8,5,2,1] => [1,12,5,4,11,8,7,10,9,6,3,2]
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [2,1,4,3,10,7,6,9,8,5,12,11] => [3,2,5,4,11,8,7,10,9,6,1,12]
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [12,3,2,11,10,7,6,9,8,5,4,1] => [1,4,3,12,11,8,7,10,9,6,5,2]
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [2,1,12,11,10,7,6,9,8,5,4,3] => [3,2,1,12,11,8,7,10,9,6,5,4]
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [4,3,2,1,10,7,6,9,8,5,12,11] => [5,4,3,2,11,8,7,10,9,6,1,12]
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [12,5,4,3,2,7,6,9,8,11,10,1] => [1,6,5,4,3,8,7,10,9,12,11,2]
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [2,1,4,3,12,7,6,9,8,11,10,5] => [3,2,5,4,1,8,7,10,9,12,11,6]
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [10,5,4,3,2,7,6,9,8,1,12,11] => [11,6,5,4,3,8,7,10,9,2,1,12]
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [4,3,2,1,12,7,6,9,8,11,10,5] => [5,4,3,2,1,8,7,10,9,12,11,6]
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [12,11,8,5,4,7,6,3,10,9,2,1] => [1,12,9,6,5,8,7,4,11,10,3,2]
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [2,1,8,5,4,7,6,3,10,9,12,11] => [3,2,9,6,5,8,7,4,11,10,1,12]
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [12,3,2,5,4,7,6,11,10,9,8,1] => [1,4,3,6,5,8,7,12,11,10,9,2]
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [2,1,12,5,4,7,6,11,10,9,8,3] => [3,2,1,6,5,8,7,12,11,10,9,4]
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [8,3,2,5,4,7,6,1,10,9,12,11] => [9,4,3,6,5,8,7,2,11,10,1,12]
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [12,9,8,5,4,7,6,3,2,11,10,1] => [1,10,9,6,5,8,7,4,3,12,11,2]
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [2,1,8,5,4,7,6,3,12,11,10,9] => [3,2,9,6,5,8,7,4,1,12,11,10]
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [10,9,8,5,4,7,6,3,2,1,12,11] => [11,10,9,6,5,8,7,4,3,2,1,12]
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [8,3,2,5,4,7,6,1,12,11,10,9] => [9,4,3,6,5,8,7,2,1,12,11,10]
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [12,5,4,3,2,7,6,11,10,9,8,1] => [1,6,5,4,3,8,7,12,11,10,9,2]
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [2,1,4,3,12,7,6,11,10,9,8,5] => [3,2,5,4,1,8,7,12,11,10,9,6]
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [8,5,4,3,2,7,6,1,10,9,12,11] => [9,6,5,4,3,8,7,2,11,10,1,12]
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [4,3,2,1,12,7,6,11,10,9,8,5] => [5,4,3,2,1,8,7,12,11,10,9,6]
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [8,5,4,3,2,7,6,1,12,11,10,9] => [9,6,5,4,3,8,7,2,1,12,11,10]
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [12,11,10,9,6,5,8,7,4,3,2,1] => [1,12,11,10,7,6,9,8,5,4,3,2]
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [2,1,10,9,6,5,8,7,4,3,12,11] => [3,2,11,10,7,6,9,8,5,4,1,12]
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [12,3,2,9,6,5,8,7,4,11,10,1] => [1,4,3,10,7,6,9,8,5,12,11,2]
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [2,1,12,9,6,5,8,7,4,11,10,3] => [3,2,1,10,7,6,9,8,5,12,11,4]
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [10,3,2,9,6,5,8,7,4,1,12,11] => [11,4,3,10,7,6,9,8,5,2,1,12]
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [12,11,4,3,6,5,8,7,10,9,2,1] => [1,12,5,4,7,6,9,8,11,10,3,2]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [2,1,4,3,6,5,8,7,10,9,12,11] => [3,2,5,4,7,6,9,8,11,10,1,12]
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [12,3,2,11,6,5,8,7,10,9,4,1] => [1,4,3,12,7,6,9,8,11,10,5,2]
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [2,1,12,11,6,5,8,7,10,9,4,3] => [3,2,1,12,7,6,9,8,11,10,5,4]
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [4,3,2,1,6,5,8,7,10,9,12,11] => [5,4,3,2,7,6,9,8,11,10,1,12]
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [12,9,4,3,6,5,8,7,2,11,10,1] => [1,10,5,4,7,6,9,8,3,12,11,2]
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [2,1,4,3,6,5,8,7,12,11,10,9] => [3,2,5,4,7,6,9,8,1,12,11,10]
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [10,9,4,3,6,5,8,7,2,1,12,11] => [11,10,5,4,7,6,9,8,3,2,1,12]
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [4,3,2,1,6,5,8,7,12,11,10,9] => [5,4,3,2,7,6,9,8,1,12,11,10]
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [12,11,10,5,4,9,8,7,6,3,2,1] => [1,12,11,6,5,10,9,8,7,4,3,2]
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [2,1,10,5,4,9,8,7,6,3,12,11] => [3,2,11,6,5,10,9,8,7,4,1,12]
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [12,3,2,5,4,9,8,7,6,11,10,1] => [1,4,3,6,5,10,9,8,7,12,11,2]
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [2,1,12,5,4,9,8,7,6,11,10,3] => [3,2,1,6,5,10,9,8,7,12,11,4]
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [10,3,2,5,4,9,8,7,6,1,12,11] => [11,4,3,6,5,10,9,8,7,2,1,12]
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [12,11,4,3,10,9,8,7,6,5,2,1] => [1,12,5,4,11,10,9,8,7,6,3,2]
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [2,1,4,3,10,9,8,7,6,5,12,11] => [3,2,5,4,11,10,9,8,7,6,1,12]
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [12,3,2,11,10,9,8,7,6,5,4,1] => [1,4,3,12,11,10,9,8,7,6,5,2]
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [2,1,12,11,10,9,8,7,6,5,4,3] => [3,2,1,12,11,10,9,8,7,6,5,4]
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [4,3,2,1,10,9,8,7,6,5,12,11] => [5,4,3,2,11,10,9,8,7,6,1,12]
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [12,5,4,3,2,9,8,7,6,11,10,1] => [1,6,5,4,3,10,9,8,7,12,11,2]
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [2,1,4,3,12,9,8,7,6,11,10,5] => [3,2,5,4,1,10,9,8,7,12,11,6]
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [10,5,4,3,2,9,8,7,6,1,12,11] => [11,6,5,4,3,10,9,8,7,2,1,12]
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [4,3,2,1,12,9,8,7,6,11,10,5] => [5,4,3,2,1,10,9,8,7,12,11,6]
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [12,11,6,5,4,3,8,7,10,9,2,1] => [1,12,7,6,5,4,9,8,11,10,3,2]
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [2,1,6,5,4,3,8,7,10,9,12,11] => [3,2,7,6,5,4,9,8,11,10,1,12]
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [12,3,2,5,4,11,8,7,10,9,6,1] => [1,4,3,6,5,12,9,8,11,10,7,2]
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [2,1,12,5,4,11,8,7,10,9,6,3] => [3,2,1,6,5,12,9,8,11,10,7,4]
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [6,3,2,5,4,1,8,7,10,9,12,11] => [7,4,3,6,5,2,9,8,11,10,1,12]
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [12,9,6,5,4,3,8,7,2,11,10,1] => [1,10,7,6,5,4,9,8,3,12,11,2]
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [2,1,6,5,4,3,8,7,12,11,10,9] => [3,2,7,6,5,4,9,8,1,12,11,10]
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [10,9,6,5,4,3,8,7,2,1,12,11] => [11,10,7,6,5,4,9,8,3,2,1,12]
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [6,3,2,5,4,1,8,7,12,11,10,9] => [7,4,3,6,5,2,9,8,1,12,11,10]
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [12,5,4,3,2,11,8,7,10,9,6,1] => [1,6,5,4,3,12,9,8,11,10,7,2]
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [2,1,4,3,12,11,8,7,10,9,6,5] => [3,2,5,4,1,12,9,8,11,10,7,6]
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [6,5,4,3,2,1,8,7,10,9,12,11] => [7,6,5,4,3,2,9,8,11,10,1,12]
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [4,3,2,1,12,11,8,7,10,9,6,5] => [5,4,3,2,1,12,9,8,11,10,7,6]
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [6,5,4,3,2,1,8,7,12,11,10,9] => [7,6,5,4,3,2,9,8,1,12,11,10]
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [12,11,10,7,6,5,4,9,8,3,2,1] => [1,12,11,8,7,6,5,10,9,4,3,2]
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [2,1,10,7,6,5,4,9,8,3,12,11] => [3,2,11,8,7,6,5,10,9,4,1,12]
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [12,3,2,7,6,5,4,9,8,11,10,1] => [1,4,3,8,7,6,5,10,9,12,11,2]
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [2,1,12,7,6,5,4,9,8,11,10,3] => [3,2,1,8,7,6,5,10,9,12,11,4]
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [10,3,2,7,6,5,4,9,8,1,12,11] => [11,4,3,8,7,6,5,10,9,2,1,12]
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [12,11,4,3,6,5,10,9,8,7,2,1] => [1,12,5,4,7,6,11,10,9,8,3,2]
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [2,1,4,3,6,5,10,9,8,7,12,11] => [3,2,5,4,7,6,11,10,9,8,1,12]
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [12,3,2,11,6,5,10,9,8,7,4,1] => [1,4,3,12,7,6,11,10,9,8,5,2]
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [2,1,12,11,6,5,10,9,8,7,4,3] => [3,2,1,12,7,6,11,10,9,8,5,4]
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [4,3,2,1,6,5,10,9,8,7,12,11] => [5,4,3,2,7,6,11,10,9,8,1,12]
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [12,7,4,3,6,5,2,9,8,11,10,1] => [1,8,5,4,7,6,3,10,9,12,11,2]
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [2,1,4,3,6,5,12,9,8,11,10,7] => [3,2,5,4,7,6,1,10,9,12,11,8]
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [10,7,4,3,6,5,2,9,8,1,12,11] => [11,8,5,4,7,6,3,10,9,2,1,12]
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [4,3,2,1,6,5,12,9,8,11,10,7] => [5,4,3,2,7,6,1,10,9,12,11,8]
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [12,11,8,7,6,5,4,3,10,9,2,1] => [1,12,9,8,7,6,5,4,11,10,3,2]
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [2,1,8,7,6,5,4,3,10,9,12,11] => [3,2,9,8,7,6,5,4,11,10,1,12]
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [12,3,2,7,6,5,4,11,10,9,8,1] => [1,4,3,8,7,6,5,12,11,10,9,2]
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [2,1,12,7,6,5,4,11,10,9,8,3] => [3,2,1,8,7,6,5,12,11,10,9,4]
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [8,3,2,7,6,5,4,1,10,9,12,11] => [9,4,3,8,7,6,5,2,11,10,1,12]
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [12,9,8,7,6,5,4,3,2,11,10,1] => [1,10,9,8,7,6,5,4,3,12,11,2]
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [2,1,8,7,6,5,4,3,12,11,10,9] => [3,2,9,8,7,6,5,4,1,12,11,10]
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [10,9,8,7,6,5,4,3,2,1,12,11] => [11,10,9,8,7,6,5,4,3,2,1,12]
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [8,3,2,7,6,5,4,1,12,11,10,9] => [9,4,3,8,7,6,5,2,1,12,11,10]
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [12,7,4,3,6,5,2,11,10,9,8,1] => [1,8,5,4,7,6,3,12,11,10,9,2]
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [2,1,4,3,6,5,12,11,10,9,8,7] => [3,2,5,4,7,6,1,12,11,10,9,8]
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [8,7,4,3,6,5,2,1,10,9,12,11] => [9,8,5,4,7,6,3,2,11,10,1,12]
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [4,3,2,1,6,5,12,11,10,9,8,7] => [5,4,3,2,7,6,1,12,11,10,9,8]
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [8,7,4,3,6,5,2,1,12,11,10,9] => [9,8,5,4,7,6,3,2,1,12,11,10]
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [12,11,6,5,4,3,10,9,8,7,2,1] => [1,12,7,6,5,4,11,10,9,8,3,2]
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [2,1,6,5,4,3,10,9,8,7,12,11] => [3,2,7,6,5,4,11,10,9,8,1,12]
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [12,3,2,5,4,11,10,9,8,7,6,1] => [1,4,3,6,5,12,11,10,9,8,7,2]
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [2,1,12,5,4,11,10,9,8,7,6,3] => [3,2,1,6,5,12,11,10,9,8,7,4]
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [6,3,2,5,4,1,10,9,8,7,12,11] => [7,4,3,6,5,2,11,10,9,8,1,12]
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [12,7,6,5,4,3,2,9,8,11,10,1] => [1,8,7,6,5,4,3,10,9,12,11,2]
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [2,1,6,5,4,3,12,9,8,11,10,7] => [3,2,7,6,5,4,1,10,9,12,11,8]
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [10,7,6,5,4,3,2,9,8,1,12,11] => [11,8,7,6,5,4,3,10,9,2,1,12]
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [6,3,2,5,4,1,12,9,8,11,10,7] => [7,4,3,6,5,2,1,10,9,12,11,8]
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [12,5,4,3,2,11,10,9,8,7,6,1] => [1,6,5,4,3,12,11,10,9,8,7,2]
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [2,1,4,3,12,11,10,9,8,7,6,5] => [3,2,5,4,1,12,11,10,9,8,7,6]
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [6,5,4,3,2,1,10,9,8,7,12,11] => [7,6,5,4,3,2,11,10,9,8,1,12]
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [4,3,2,1,12,11,10,9,8,7,6,5] => [5,4,3,2,1,12,11,10,9,8,7,6]
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [6,5,4,3,2,1,12,9,8,11,10,7] => [7,6,5,4,3,2,1,10,9,12,11,8]
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [12,7,6,5,4,3,2,11,10,9,8,1] => [1,8,7,6,5,4,3,12,11,10,9,2]
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [2,1,6,5,4,3,12,11,10,9,8,7] => [3,2,7,6,5,4,1,12,11,10,9,8]
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [8,7,6,5,4,3,2,1,10,9,12,11] => [9,8,7,6,5,4,3,2,11,10,1,12]
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [6,3,2,5,4,1,12,11,10,9,8,7] => [7,4,3,6,5,2,1,12,11,10,9,8]
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [8,7,6,5,4,3,2,1,12,11,10,9] => [9,8,7,6,5,4,3,2,1,12,11,10]
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [6,5,4,3,2,1,12,11,10,9,8,7] => [7,6,5,4,3,2,1,12,11,10,9,8]
[(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] => [3,2,5,4,7,6,9,8,11,10,13,12,1,14]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13)] => [2,1,4,3,6,5,8,7,10,9,14,13,12,11] => [3,2,5,4,7,6,9,8,11,10,1,14,13,12]
[(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13)] => [2,1,4,3,6,5,8,7,14,11,10,13,12,9] => [3,2,5,4,7,6,9,8,1,12,11,14,13,10]
[(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12)] => [2,1,4,3,6,5,8,7,14,13,12,11,10,9] => [3,2,5,4,7,6,9,8,1,14,13,12,11,10]
[(1,2),(3,4),(5,6),(7,14),(8,9),(10,11),(12,13)] => [2,1,4,3,6,5,14,9,8,11,10,13,12,7] => [3,2,5,4,7,6,1,10,9,12,11,14,13,8]
[(1,2),(3,4),(5,6),(7,14),(8,11),(9,10),(12,13)] => [2,1,4,3,6,5,14,11,10,9,8,13,12,7] => [3,2,5,4,7,6,1,12,11,10,9,14,13,8]
[(1,2),(3,4),(5,6),(7,14),(8,13),(9,10),(11,12)] => [2,1,4,3,6,5,14,13,10,9,12,11,8,7] => [3,2,5,4,7,6,1,14,11,10,13,12,9,8]
[(1,2),(3,4),(5,6),(7,14),(8,13),(9,12),(10,11)] => [2,1,4,3,6,5,14,13,12,11,10,9,8,7] => [3,2,5,4,7,6,1,14,13,12,11,10,9,8]
[(1,2),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13)] => [2,1,4,3,14,7,6,9,8,11,10,13,12,5] => [3,2,5,4,1,8,7,10,9,12,11,14,13,6]
[(1,2),(3,4),(5,14),(6,9),(7,8),(10,11),(12,13)] => [2,1,4,3,14,9,8,7,6,11,10,13,12,5] => [3,2,5,4,1,10,9,8,7,12,11,14,13,6]
[(1,2),(3,4),(5,14),(6,11),(7,8),(9,10),(12,13)] => [2,1,4,3,14,11,8,7,10,9,6,13,12,5] => [3,2,5,4,1,12,9,8,11,10,7,14,13,6]
[(1,2),(3,4),(5,14),(6,13),(7,8),(9,10),(11,12)] => [2,1,4,3,14,13,8,7,10,9,12,11,6,5] => [3,2,5,4,1,14,9,8,11,10,13,12,7,6]
[(1,2),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11)] => [2,1,4,3,14,13,8,7,12,11,10,9,6,5] => [3,2,5,4,1,14,9,8,13,12,11,10,7,6]
[(1,2),(3,4),(5,14),(6,11),(7,10),(8,9),(12,13)] => [2,1,4,3,14,11,10,9,8,7,6,13,12,5] => [3,2,5,4,1,12,11,10,9,8,7,14,13,6]
[(1,2),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11)] => [2,1,4,3,14,13,12,9,8,11,10,7,6,5] => [3,2,5,4,1,14,13,10,9,12,11,8,7,6]
[(1,2),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13)] => [2,1,14,5,4,7,6,9,8,11,10,13,12,3] => [3,2,1,6,5,8,7,10,9,12,11,14,13,4]
[(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)] => [2,1,14,5,4,13,12,11,10,9,8,7,6,3] => [3,2,1,6,5,14,13,12,11,10,9,8,7,4]
[(1,2),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13)] => [2,1,14,7,6,5,4,9,8,11,10,13,12,3] => [3,2,1,8,7,6,5,10,9,12,11,14,13,4]
[(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13)] => [2,1,14,9,6,5,8,7,4,11,10,13,12,3] => [3,2,1,10,7,6,9,8,5,12,11,14,13,4]
[(1,2),(3,14),(4,11),(5,6),(7,8),(9,10),(12,13)] => [2,1,14,11,6,5,8,7,10,9,4,13,12,3] => [3,2,1,12,7,6,9,8,11,10,5,14,13,4]
[(1,2),(3,14),(4,11),(5,6),(7,10),(8,9),(12,13)] => [2,1,14,11,6,5,10,9,8,7,4,13,12,3] => [3,2,1,12,7,6,11,10,9,8,5,14,13,4]
[(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)] => [2,1,14,13,6,5,12,9,8,11,10,7,4,3] => [3,2,1,14,7,6,13,10,9,12,11,8,5,4]
[(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)] => [2,1,14,13,6,5,12,11,10,9,8,7,4,3] => [3,2,1,14,7,6,13,12,11,10,9,8,5,4]
[(1,2),(3,14),(4,9),(5,8),(6,7),(10,11),(12,13)] => [2,1,14,9,8,7,6,5,4,11,10,13,12,3] => [3,2,1,10,9,8,7,6,5,12,11,14,13,4]
[(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)] => [2,1,14,13,8,7,6,5,12,11,10,9,4,3] => [3,2,1,14,9,8,7,6,13,12,11,10,5,4]
[(1,2),(3,14),(4,11),(5,10),(6,7),(8,9),(12,13)] => [2,1,14,11,10,7,6,9,8,5,4,13,12,3] => [3,2,1,12,11,8,7,10,9,6,5,14,13,4]
[(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)] => [2,1,14,13,10,7,6,9,8,5,12,11,4,3] => [3,2,1,14,11,8,7,10,9,6,13,12,5,4]
[(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)] => [2,1,14,13,12,7,6,9,8,11,10,5,4,3] => [3,2,1,14,13,8,7,10,9,12,11,6,5,4]
[(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)] => [2,1,14,13,12,7,6,11,10,9,8,5,4,3] => [3,2,1,14,13,8,7,12,11,10,9,6,5,4]
[(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)] => [2,1,14,11,10,9,8,7,6,5,4,13,12,3] => [3,2,1,12,11,10,9,8,7,6,5,14,13,4]
[(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)] => [2,1,14,13,10,9,8,7,6,5,12,11,4,3] => [3,2,1,14,11,10,9,8,7,6,13,12,5,4]
[(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)] => [2,1,14,13,12,9,8,7,6,11,10,5,4,3] => [3,2,1,14,13,10,9,8,7,12,11,6,5,4]
[(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)] => [2,1,14,13,12,11,8,7,10,9,6,5,4,3] => [3,2,1,14,13,12,9,8,11,10,7,6,5,4]
[(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)] => [2,1,14,13,12,11,10,9,8,7,6,5,4,3] => [3,2,1,14,13,12,11,10,9,8,7,6,5,4]
[(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)] => [4,3,2,1,14,13,12,11,10,9,8,7,6,5] => [5,4,3,2,1,14,13,12,11,10,9,8,7,6]
[(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)] => [14,3,2,5,4,7,6,9,8,11,10,13,12,1] => [1,4,3,6,5,8,7,10,9,12,11,14,13,2]
[(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12)] => [14,3,2,5,4,7,6,9,8,13,12,11,10,1] => [1,4,3,6,5,8,7,10,9,14,13,12,11,2]
[(1,14),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13)] => [14,3,2,5,4,7,6,11,10,9,8,13,12,1] => [1,4,3,6,5,8,7,12,11,10,9,14,13,2]
[(1,14),(2,3),(4,5),(6,7),(8,13),(9,10),(11,12)] => [14,3,2,5,4,7,6,13,10,9,12,11,8,1] => [1,4,3,6,5,8,7,14,11,10,13,12,9,2]
[(1,14),(2,3),(4,5),(6,7),(8,13),(9,12),(10,11)] => [14,3,2,5,4,7,6,13,12,11,10,9,8,1] => [1,4,3,6,5,8,7,14,13,12,11,10,9,2]
[(1,14),(2,3),(4,5),(6,9),(7,8),(10,11),(12,13)] => [14,3,2,5,4,9,8,7,6,11,10,13,12,1] => [1,4,3,6,5,10,9,8,7,12,11,14,13,2]
[(1,14),(2,3),(4,5),(6,9),(7,8),(10,13),(11,12)] => [14,3,2,5,4,9,8,7,6,13,12,11,10,1] => [1,4,3,6,5,10,9,8,7,14,13,12,11,2]
[(1,14),(2,3),(4,5),(6,11),(7,8),(9,10),(12,13)] => [14,3,2,5,4,11,8,7,10,9,6,13,12,1] => [1,4,3,6,5,12,9,8,11,10,7,14,13,2]
[(1,14),(2,3),(4,5),(6,13),(7,8),(9,10),(11,12)] => [14,3,2,5,4,13,8,7,10,9,12,11,6,1] => [1,4,3,6,5,14,9,8,11,10,13,12,7,2]
[(1,14),(2,3),(4,5),(6,13),(7,8),(9,12),(10,11)] => [14,3,2,5,4,13,8,7,12,11,10,9,6,1] => [1,4,3,6,5,14,9,8,13,12,11,10,7,2]
[(1,14),(2,3),(4,5),(6,11),(7,10),(8,9),(12,13)] => [14,3,2,5,4,11,10,9,8,7,6,13,12,1] => [1,4,3,6,5,12,11,10,9,8,7,14,13,2]
[(1,14),(2,3),(4,5),(6,13),(7,10),(8,9),(11,12)] => [14,3,2,5,4,13,10,9,8,7,12,11,6,1] => [1,4,3,6,5,14,11,10,9,8,13,12,7,2]
[(1,14),(2,3),(4,5),(6,13),(7,12),(8,9),(10,11)] => [14,3,2,5,4,13,12,9,8,11,10,7,6,1] => [1,4,3,6,5,14,13,10,9,12,11,8,7,2]
[(1,14),(2,3),(4,5),(6,13),(7,12),(8,11),(9,10)] => [14,3,2,5,4,13,12,11,10,9,8,7,6,1] => [1,4,3,6,5,14,13,12,11,10,9,8,7,2]
[(1,14),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13)] => [14,3,2,7,6,5,4,9,8,11,10,13,12,1] => [1,4,3,8,7,6,5,10,9,12,11,14,13,2]
[(1,14),(2,3),(4,7),(5,6),(8,9),(10,13),(11,12)] => [14,3,2,7,6,5,4,9,8,13,12,11,10,1] => [1,4,3,8,7,6,5,10,9,14,13,12,11,2]
[(1,14),(2,3),(4,7),(5,6),(8,11),(9,10),(12,13)] => [14,3,2,7,6,5,4,11,10,9,8,13,12,1] => [1,4,3,8,7,6,5,12,11,10,9,14,13,2]
[(1,14),(2,3),(4,7),(5,6),(8,13),(9,10),(11,12)] => [14,3,2,7,6,5,4,13,10,9,12,11,8,1] => [1,4,3,8,7,6,5,14,11,10,13,12,9,2]
[(1,14),(2,3),(4,7),(5,6),(8,13),(9,12),(10,11)] => [14,3,2,7,6,5,4,13,12,11,10,9,8,1] => [1,4,3,8,7,6,5,14,13,12,11,10,9,2]
[(1,14),(2,3),(4,9),(5,6),(7,8),(10,11),(12,13)] => [14,3,2,9,6,5,8,7,4,11,10,13,12,1] => [1,4,3,10,7,6,9,8,5,12,11,14,13,2]
[(1,14),(2,3),(4,9),(5,6),(7,8),(10,13),(11,12)] => [14,3,2,9,6,5,8,7,4,13,12,11,10,1] => [1,4,3,10,7,6,9,8,5,14,13,12,11,2]
[(1,14),(2,3),(4,11),(5,6),(7,8),(9,10),(12,13)] => [14,3,2,11,6,5,8,7,10,9,4,13,12,1] => [1,4,3,12,7,6,9,8,11,10,5,14,13,2]
[(1,14),(2,3),(4,13),(5,6),(7,8),(9,10),(11,12)] => [14,3,2,13,6,5,8,7,10,9,12,11,4,1] => [1,4,3,14,7,6,9,8,11,10,13,12,5,2]
[(1,14),(2,3),(4,13),(5,6),(7,8),(9,12),(10,11)] => [14,3,2,13,6,5,8,7,12,11,10,9,4,1] => [1,4,3,14,7,6,9,8,13,12,11,10,5,2]
[(1,14),(2,3),(4,11),(5,6),(7,10),(8,9),(12,13)] => [14,3,2,11,6,5,10,9,8,7,4,13,12,1] => [1,4,3,12,7,6,11,10,9,8,5,14,13,2]
[(1,14),(2,3),(4,13),(5,6),(7,10),(8,9),(11,12)] => [14,3,2,13,6,5,10,9,8,7,12,11,4,1] => [1,4,3,14,7,6,11,10,9,8,13,12,5,2]
[(1,14),(2,3),(4,13),(5,6),(7,12),(8,9),(10,11)] => [14,3,2,13,6,5,12,9,8,11,10,7,4,1] => [1,4,3,14,7,6,13,10,9,12,11,8,5,2]
[(1,14),(2,3),(4,13),(5,6),(7,12),(8,11),(9,10)] => [14,3,2,13,6,5,12,11,10,9,8,7,4,1] => [1,4,3,14,7,6,13,12,11,10,9,8,5,2]
[(1,14),(2,3),(4,9),(5,8),(6,7),(10,11),(12,13)] => [14,3,2,9,8,7,6,5,4,11,10,13,12,1] => [1,4,3,10,9,8,7,6,5,12,11,14,13,2]
[(1,14),(2,3),(4,9),(5,8),(6,7),(10,13),(11,12)] => [14,3,2,9,8,7,6,5,4,13,12,11,10,1] => [1,4,3,10,9,8,7,6,5,14,13,12,11,2]
[(1,14),(2,3),(4,11),(5,8),(6,7),(9,10),(12,13)] => [14,3,2,11,8,7,6,5,10,9,4,13,12,1] => [1,4,3,12,9,8,7,6,11,10,5,14,13,2]
[(1,14),(2,3),(4,13),(5,8),(6,7),(9,10),(11,12)] => [14,3,2,13,8,7,6,5,10,9,12,11,4,1] => [1,4,3,14,9,8,7,6,11,10,13,12,5,2]
[(1,14),(2,3),(4,13),(5,8),(6,7),(9,12),(10,11)] => [14,3,2,13,8,7,6,5,12,11,10,9,4,1] => [1,4,3,14,9,8,7,6,13,12,11,10,5,2]
[(1,14),(2,3),(4,11),(5,10),(6,7),(8,9),(12,13)] => [14,3,2,11,10,7,6,9,8,5,4,13,12,1] => [1,4,3,12,11,8,7,10,9,6,5,14,13,2]
[(1,14),(2,3),(4,13),(5,10),(6,7),(8,9),(11,12)] => [14,3,2,13,10,7,6,9,8,5,12,11,4,1] => [1,4,3,14,11,8,7,10,9,6,13,12,5,2]
[(1,14),(2,3),(4,13),(5,12),(6,7),(8,9),(10,11)] => [14,3,2,13,12,7,6,9,8,11,10,5,4,1] => [1,4,3,14,13,8,7,10,9,12,11,6,5,2]
[(1,14),(2,3),(4,13),(5,12),(6,7),(8,11),(9,10)] => [14,3,2,13,12,7,6,11,10,9,8,5,4,1] => [1,4,3,14,13,8,7,12,11,10,9,6,5,2]
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)] => [12,3,2,11,10,9,8,7,6,5,4,1,14,13] => [13,4,3,12,11,10,9,8,7,6,5,2,1,14]
[(1,14),(2,3),(4,11),(5,10),(6,9),(7,8),(12,13)] => [14,3,2,11,10,9,8,7,6,5,4,13,12,1] => [1,4,3,12,11,10,9,8,7,6,5,14,13,2]
[(1,14),(2,3),(4,13),(5,10),(6,9),(7,8),(11,12)] => [14,3,2,13,10,9,8,7,6,5,12,11,4,1] => [1,4,3,14,11,10,9,8,7,6,13,12,5,2]
[(1,14),(2,3),(4,13),(5,12),(6,9),(7,8),(10,11)] => [14,3,2,13,12,9,8,7,6,11,10,5,4,1] => [1,4,3,14,13,10,9,8,7,12,11,6,5,2]
[(1,14),(2,3),(4,13),(5,12),(6,11),(7,8),(9,10)] => [14,3,2,13,12,11,8,7,10,9,6,5,4,1] => [1,4,3,14,13,12,9,8,11,10,7,6,5,2]
[(1,14),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9)] => [14,3,2,13,12,11,10,9,8,7,6,5,4,1] => [1,4,3,14,13,12,11,10,9,8,7,6,5,2]
[(1,14),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13)] => [14,5,4,3,2,7,6,9,8,11,10,13,12,1] => [1,6,5,4,3,8,7,10,9,12,11,14,13,2]
[(1,14),(2,5),(3,4),(6,7),(8,9),(10,13),(11,12)] => [14,5,4,3,2,7,6,9,8,13,12,11,10,1] => [1,6,5,4,3,8,7,10,9,14,13,12,11,2]
[(1,14),(2,5),(3,4),(6,7),(8,11),(9,10),(12,13)] => [14,5,4,3,2,7,6,11,10,9,8,13,12,1] => [1,6,5,4,3,8,7,12,11,10,9,14,13,2]
[(1,14),(2,5),(3,4),(6,7),(8,13),(9,10),(11,12)] => [14,5,4,3,2,7,6,13,10,9,12,11,8,1] => [1,6,5,4,3,8,7,14,11,10,13,12,9,2]
[(1,14),(2,5),(3,4),(6,7),(8,13),(9,12),(10,11)] => [14,5,4,3,2,7,6,13,12,11,10,9,8,1] => [1,6,5,4,3,8,7,14,13,12,11,10,9,2]
[(1,14),(2,5),(3,4),(6,9),(7,8),(10,11),(12,13)] => [14,5,4,3,2,9,8,7,6,11,10,13,12,1] => [1,6,5,4,3,10,9,8,7,12,11,14,13,2]
[(1,14),(2,5),(3,4),(6,9),(7,8),(10,13),(11,12)] => [14,5,4,3,2,9,8,7,6,13,12,11,10,1] => [1,6,5,4,3,10,9,8,7,14,13,12,11,2]
[(1,14),(2,5),(3,4),(6,11),(7,8),(9,10),(12,13)] => [14,5,4,3,2,11,8,7,10,9,6,13,12,1] => [1,6,5,4,3,12,9,8,11,10,7,14,13,2]
[(1,14),(2,5),(3,4),(6,13),(7,8),(9,10),(11,12)] => [14,5,4,3,2,13,8,7,10,9,12,11,6,1] => [1,6,5,4,3,14,9,8,11,10,13,12,7,2]
[(1,14),(2,5),(3,4),(6,13),(7,8),(9,12),(10,11)] => [14,5,4,3,2,13,8,7,12,11,10,9,6,1] => [1,6,5,4,3,14,9,8,13,12,11,10,7,2]
[(1,14),(2,5),(3,4),(6,11),(7,10),(8,9),(12,13)] => [14,5,4,3,2,11,10,9,8,7,6,13,12,1] => [1,6,5,4,3,12,11,10,9,8,7,14,13,2]
[(1,14),(2,5),(3,4),(6,13),(7,10),(8,9),(11,12)] => [14,5,4,3,2,13,10,9,8,7,12,11,6,1] => [1,6,5,4,3,14,11,10,9,8,13,12,7,2]
[(1,14),(2,5),(3,4),(6,13),(7,12),(8,9),(10,11)] => [14,5,4,3,2,13,12,9,8,11,10,7,6,1] => [1,6,5,4,3,14,13,10,9,12,11,8,7,2]
[(1,14),(2,5),(3,4),(6,13),(7,12),(8,11),(9,10)] => [14,5,4,3,2,13,12,11,10,9,8,7,6,1] => [1,6,5,4,3,14,13,12,11,10,9,8,7,2]
[(1,14),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13)] => [14,7,4,3,6,5,2,9,8,11,10,13,12,1] => [1,8,5,4,7,6,3,10,9,12,11,14,13,2]
[(1,14),(2,7),(3,4),(5,6),(8,9),(10,13),(11,12)] => [14,7,4,3,6,5,2,9,8,13,12,11,10,1] => [1,8,5,4,7,6,3,10,9,14,13,12,11,2]
[(1,14),(2,7),(3,4),(5,6),(8,11),(9,10),(12,13)] => [14,7,4,3,6,5,2,11,10,9,8,13,12,1] => [1,8,5,4,7,6,3,12,11,10,9,14,13,2]
[(1,14),(2,7),(3,4),(5,6),(8,13),(9,10),(11,12)] => [14,7,4,3,6,5,2,13,10,9,12,11,8,1] => [1,8,5,4,7,6,3,14,11,10,13,12,9,2]
[(1,14),(2,7),(3,4),(5,6),(8,13),(9,12),(10,11)] => [14,7,4,3,6,5,2,13,12,11,10,9,8,1] => [1,8,5,4,7,6,3,14,13,12,11,10,9,2]
[(1,14),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13)] => [14,9,4,3,6,5,8,7,2,11,10,13,12,1] => [1,10,5,4,7,6,9,8,3,12,11,14,13,2]
[(1,14),(2,9),(3,4),(5,6),(7,8),(10,13),(11,12)] => [14,9,4,3,6,5,8,7,2,13,12,11,10,1] => [1,10,5,4,7,6,9,8,3,14,13,12,11,2]
[(1,14),(2,11),(3,4),(5,6),(7,8),(9,10),(12,13)] => [14,11,4,3,6,5,8,7,10,9,2,13,12,1] => [1,12,5,4,7,6,9,8,11,10,3,14,13,2]
[(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12)] => [14,13,4,3,6,5,8,7,10,9,12,11,2,1] => [1,14,5,4,7,6,9,8,11,10,13,12,3,2]
[(1,14),(2,13),(3,4),(5,6),(7,8),(9,12),(10,11)] => [14,13,4,3,6,5,8,7,12,11,10,9,2,1] => [1,14,5,4,7,6,9,8,13,12,11,10,3,2]
[(1,14),(2,11),(3,4),(5,6),(7,10),(8,9),(12,13)] => [14,11,4,3,6,5,10,9,8,7,2,13,12,1] => [1,12,5,4,7,6,11,10,9,8,3,14,13,2]
[(1,14),(2,13),(3,4),(5,6),(7,10),(8,9),(11,12)] => [14,13,4,3,6,5,10,9,8,7,12,11,2,1] => [1,14,5,4,7,6,11,10,9,8,13,12,3,2]
[(1,14),(2,13),(3,4),(5,6),(7,12),(8,9),(10,11)] => [14,13,4,3,6,5,12,9,8,11,10,7,2,1] => [1,14,5,4,7,6,13,10,9,12,11,8,3,2]
[(1,14),(2,13),(3,4),(5,6),(7,12),(8,11),(9,10)] => [14,13,4,3,6,5,12,11,10,9,8,7,2,1] => [1,14,5,4,7,6,13,12,11,10,9,8,3,2]
[(1,14),(2,9),(3,4),(5,8),(6,7),(10,11),(12,13)] => [14,9,4,3,8,7,6,5,2,11,10,13,12,1] => [1,10,5,4,9,8,7,6,3,12,11,14,13,2]
[(1,14),(2,9),(3,4),(5,8),(6,7),(10,13),(11,12)] => [14,9,4,3,8,7,6,5,2,13,12,11,10,1] => [1,10,5,4,9,8,7,6,3,14,13,12,11,2]
[(1,14),(2,11),(3,4),(5,8),(6,7),(9,10),(12,13)] => [14,11,4,3,8,7,6,5,10,9,2,13,12,1] => [1,12,5,4,9,8,7,6,11,10,3,14,13,2]
[(1,14),(2,13),(3,4),(5,8),(6,7),(9,10),(11,12)] => [14,13,4,3,8,7,6,5,10,9,12,11,2,1] => [1,14,5,4,9,8,7,6,11,10,13,12,3,2]
[(1,14),(2,13),(3,4),(5,8),(6,7),(9,12),(10,11)] => [14,13,4,3,8,7,6,5,12,11,10,9,2,1] => [1,14,5,4,9,8,7,6,13,12,11,10,3,2]
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)] => [12,11,4,3,10,7,6,9,8,5,2,1,14,13] => [13,12,5,4,11,8,7,10,9,6,3,2,1,14]
[(1,14),(2,11),(3,4),(5,10),(6,7),(8,9),(12,13)] => [14,11,4,3,10,7,6,9,8,5,2,13,12,1] => [1,12,5,4,11,8,7,10,9,6,3,14,13,2]
[(1,14),(2,13),(3,4),(5,10),(6,7),(8,9),(11,12)] => [14,13,4,3,10,7,6,9,8,5,12,11,2,1] => [1,14,5,4,11,8,7,10,9,6,13,12,3,2]
[(1,14),(2,13),(3,4),(5,12),(6,7),(8,9),(10,11)] => [14,13,4,3,12,7,6,9,8,11,10,5,2,1] => [1,14,5,4,13,8,7,10,9,12,11,6,3,2]
[(1,14),(2,13),(3,4),(5,12),(6,7),(8,11),(9,10)] => [14,13,4,3,12,7,6,11,10,9,8,5,2,1] => [1,14,5,4,13,8,7,12,11,10,9,6,3,2]
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)] => [12,11,4,3,10,9,8,7,6,5,2,1,14,13] => [13,12,5,4,11,10,9,8,7,6,3,2,1,14]
[(1,14),(2,11),(3,4),(5,10),(6,9),(7,8),(12,13)] => [14,11,4,3,10,9,8,7,6,5,2,13,12,1] => [1,12,5,4,11,10,9,8,7,6,3,14,13,2]
[(1,14),(2,13),(3,4),(5,10),(6,9),(7,8),(11,12)] => [14,13,4,3,10,9,8,7,6,5,12,11,2,1] => [1,14,5,4,11,10,9,8,7,6,13,12,3,2]
[(1,14),(2,13),(3,4),(5,12),(6,9),(7,8),(10,11)] => [14,13,4,3,12,9,8,7,6,11,10,5,2,1] => [1,14,5,4,13,10,9,8,7,12,11,6,3,2]
[(1,14),(2,13),(3,4),(5,12),(6,11),(7,8),(9,10)] => [14,13,4,3,12,11,8,7,10,9,6,5,2,1] => [1,14,5,4,13,12,9,8,11,10,7,6,3,2]
[(1,14),(2,13),(3,4),(5,12),(6,11),(7,10),(8,9)] => [14,13,4,3,12,11,10,9,8,7,6,5,2,1] => [1,14,5,4,13,12,11,10,9,8,7,6,3,2]
[(1,14),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13)] => [14,7,6,5,4,3,2,9,8,11,10,13,12,1] => [1,8,7,6,5,4,3,10,9,12,11,14,13,2]
[(1,14),(2,7),(3,6),(4,5),(8,9),(10,13),(11,12)] => [14,7,6,5,4,3,2,9,8,13,12,11,10,1] => [1,8,7,6,5,4,3,10,9,14,13,12,11,2]
[(1,14),(2,7),(3,6),(4,5),(8,11),(9,10),(12,13)] => [14,7,6,5,4,3,2,11,10,9,8,13,12,1] => [1,8,7,6,5,4,3,12,11,10,9,14,13,2]
[(1,14),(2,7),(3,6),(4,5),(8,13),(9,10),(11,12)] => [14,7,6,5,4,3,2,13,10,9,12,11,8,1] => [1,8,7,6,5,4,3,14,11,10,13,12,9,2]
[(1,14),(2,7),(3,6),(4,5),(8,13),(9,12),(10,11)] => [14,7,6,5,4,3,2,13,12,11,10,9,8,1] => [1,8,7,6,5,4,3,14,13,12,11,10,9,2]
[(1,14),(2,9),(3,6),(4,5),(7,8),(10,11),(12,13)] => [14,9,6,5,4,3,8,7,2,11,10,13,12,1] => [1,10,7,6,5,4,9,8,3,12,11,14,13,2]
[(1,14),(2,9),(3,6),(4,5),(7,8),(10,13),(11,12)] => [14,9,6,5,4,3,8,7,2,13,12,11,10,1] => [1,10,7,6,5,4,9,8,3,14,13,12,11,2]
[(1,14),(2,11),(3,6),(4,5),(7,8),(9,10),(12,13)] => [14,11,6,5,4,3,8,7,10,9,2,13,12,1] => [1,12,7,6,5,4,9,8,11,10,3,14,13,2]
[(1,14),(2,13),(3,6),(4,5),(7,8),(9,10),(11,12)] => [14,13,6,5,4,3,8,7,10,9,12,11,2,1] => [1,14,7,6,5,4,9,8,11,10,13,12,3,2]
[(1,14),(2,13),(3,6),(4,5),(7,8),(9,12),(10,11)] => [14,13,6,5,4,3,8,7,12,11,10,9,2,1] => [1,14,7,6,5,4,9,8,13,12,11,10,3,2]
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)] => [12,11,6,5,4,3,10,9,8,7,2,1,14,13] => [13,12,7,6,5,4,11,10,9,8,3,2,1,14]
[(1,14),(2,11),(3,6),(4,5),(7,10),(8,9),(12,13)] => [14,11,6,5,4,3,10,9,8,7,2,13,12,1] => [1,12,7,6,5,4,11,10,9,8,3,14,13,2]
[(1,14),(2,13),(3,6),(4,5),(7,10),(8,9),(11,12)] => [14,13,6,5,4,3,10,9,8,7,12,11,2,1] => [1,14,7,6,5,4,11,10,9,8,13,12,3,2]
[(1,14),(2,13),(3,6),(4,5),(7,12),(8,9),(10,11)] => [14,13,6,5,4,3,12,9,8,11,10,7,2,1] => [1,14,7,6,5,4,13,10,9,12,11,8,3,2]
[(1,14),(2,13),(3,6),(4,5),(7,12),(8,11),(9,10)] => [14,13,6,5,4,3,12,11,10,9,8,7,2,1] => [1,14,7,6,5,4,13,12,11,10,9,8,3,2]
[(1,14),(2,9),(3,8),(4,5),(6,7),(10,11),(12,13)] => [14,9,8,5,4,7,6,3,2,11,10,13,12,1] => [1,10,9,6,5,8,7,4,3,12,11,14,13,2]
[(1,14),(2,9),(3,8),(4,5),(6,7),(10,13),(11,12)] => [14,9,8,5,4,7,6,3,2,13,12,11,10,1] => [1,10,9,6,5,8,7,4,3,14,13,12,11,2]
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)] => [12,11,8,5,4,7,6,3,10,9,2,1,14,13] => [13,12,9,6,5,8,7,4,11,10,3,2,1,14]
[(1,14),(2,11),(3,8),(4,5),(6,7),(9,10),(12,13)] => [14,11,8,5,4,7,6,3,10,9,2,13,12,1] => [1,12,9,6,5,8,7,4,11,10,3,14,13,2]
[(1,14),(2,13),(3,8),(4,5),(6,7),(9,10),(11,12)] => [14,13,8,5,4,7,6,3,10,9,12,11,2,1] => [1,14,9,6,5,8,7,4,11,10,13,12,3,2]
[(1,14),(2,13),(3,8),(4,5),(6,7),(9,12),(10,11)] => [14,13,8,5,4,7,6,3,12,11,10,9,2,1] => [1,14,9,6,5,8,7,4,13,12,11,10,3,2]
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)] => [12,11,10,5,4,7,6,9,8,3,2,1,14,13] => [13,12,11,6,5,8,7,10,9,4,3,2,1,14]
[(1,14),(2,11),(3,10),(4,5),(6,7),(8,9),(12,13)] => [14,11,10,5,4,7,6,9,8,3,2,13,12,1] => [1,12,11,6,5,8,7,10,9,4,3,14,13,2]
[(1,14),(2,13),(3,10),(4,5),(6,7),(8,9),(11,12)] => [14,13,10,5,4,7,6,9,8,3,12,11,2,1] => [1,14,11,6,5,8,7,10,9,4,13,12,3,2]
[(1,14),(2,13),(3,12),(4,5),(6,7),(8,9),(10,11)] => [14,13,12,5,4,7,6,9,8,11,10,3,2,1] => [1,14,13,6,5,8,7,10,9,12,11,4,3,2]
[(1,14),(2,13),(3,12),(4,5),(6,7),(8,11),(9,10)] => [14,13,12,5,4,7,6,11,10,9,8,3,2,1] => [1,14,13,6,5,8,7,12,11,10,9,4,3,2]
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)] => [12,11,10,5,4,9,8,7,6,3,2,1,14,13] => [13,12,11,6,5,10,9,8,7,4,3,2,1,14]
[(1,14),(2,11),(3,10),(4,5),(6,9),(7,8),(12,13)] => [14,11,10,5,4,9,8,7,6,3,2,13,12,1] => [1,12,11,6,5,10,9,8,7,4,3,14,13,2]
[(1,14),(2,13),(3,10),(4,5),(6,9),(7,8),(11,12)] => [14,13,10,5,4,9,8,7,6,3,12,11,2,1] => [1,14,11,6,5,10,9,8,7,4,13,12,3,2]
[(1,14),(2,13),(3,12),(4,5),(6,9),(7,8),(10,11)] => [14,13,12,5,4,9,8,7,6,11,10,3,2,1] => [1,14,13,6,5,10,9,8,7,12,11,4,3,2]
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,8),(9,10)] => [14,13,12,5,4,11,8,7,10,9,6,3,2,1] => [1,14,13,6,5,12,9,8,11,10,7,4,3,2]
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9)] => [14,13,12,5,4,11,10,9,8,7,6,3,2,1] => [1,14,13,6,5,12,11,10,9,8,7,4,3,2]
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)] => [10,9,8,7,6,5,4,3,2,1,14,13,12,11] => [11,10,9,8,7,6,5,4,3,2,1,14,13,12]
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)] => [12,9,8,7,6,5,4,3,2,11,10,1,14,13] => [13,10,9,8,7,6,5,4,3,12,11,2,1,14]
[(1,14),(2,9),(3,8),(4,7),(5,6),(10,11),(12,13)] => [14,9,8,7,6,5,4,3,2,11,10,13,12,1] => [1,10,9,8,7,6,5,4,3,12,11,14,13,2]
[(1,14),(2,9),(3,8),(4,7),(5,6),(10,13),(11,12)] => [14,9,8,7,6,5,4,3,2,13,12,11,10,1] => [1,10,9,8,7,6,5,4,3,14,13,12,11,2]
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)] => [12,11,8,7,6,5,4,3,10,9,2,1,14,13] => [13,12,9,8,7,6,5,4,11,10,3,2,1,14]
[(1,14),(2,11),(3,8),(4,7),(5,6),(9,10),(12,13)] => [14,11,8,7,6,5,4,3,10,9,2,13,12,1] => [1,12,9,8,7,6,5,4,11,10,3,14,13,2]
[(1,14),(2,13),(3,8),(4,7),(5,6),(9,10),(11,12)] => [14,13,8,7,6,5,4,3,10,9,12,11,2,1] => [1,14,9,8,7,6,5,4,11,10,13,12,3,2]
[(1,14),(2,13),(3,8),(4,7),(5,6),(9,12),(10,11)] => [14,13,8,7,6,5,4,3,12,11,10,9,2,1] => [1,14,9,8,7,6,5,4,13,12,11,10,3,2]
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)] => [12,11,10,7,6,5,4,9,8,3,2,1,14,13] => [13,12,11,8,7,6,5,10,9,4,3,2,1,14]
[(1,14),(2,11),(3,10),(4,7),(5,6),(8,9),(12,13)] => [14,11,10,7,6,5,4,9,8,3,2,13,12,1] => [1,12,11,8,7,6,5,10,9,4,3,14,13,2]
[(1,14),(2,13),(3,10),(4,7),(5,6),(8,9),(11,12)] => [14,13,10,7,6,5,4,9,8,3,12,11,2,1] => [1,14,11,8,7,6,5,10,9,4,13,12,3,2]
[(1,14),(2,13),(3,12),(4,7),(5,6),(8,9),(10,11)] => [14,13,12,7,6,5,4,9,8,11,10,3,2,1] => [1,14,13,8,7,6,5,10,9,12,11,4,3,2]
[(1,14),(2,13),(3,12),(4,7),(5,6),(8,11),(9,10)] => [14,13,12,7,6,5,4,11,10,9,8,3,2,1] => [1,14,13,8,7,6,5,12,11,10,9,4,3,2]
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)] => [12,11,10,9,6,5,8,7,4,3,2,1,14,13] => [13,12,11,10,7,6,9,8,5,4,3,2,1,14]
[(1,14),(2,11),(3,10),(4,9),(5,6),(7,8),(12,13)] => [14,11,10,9,6,5,8,7,4,3,2,13,12,1] => [1,12,11,10,7,6,9,8,5,4,3,14,13,2]
[(1,14),(2,13),(3,10),(4,9),(5,6),(7,8),(11,12)] => [14,13,10,9,6,5,8,7,4,3,12,11,2,1] => [1,14,11,10,7,6,9,8,5,4,13,12,3,2]
[(1,14),(2,13),(3,12),(4,9),(5,6),(7,8),(10,11)] => [14,13,12,9,6,5,8,7,4,11,10,3,2,1] => [1,14,13,10,7,6,9,8,5,12,11,4,3,2]
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10)] => [14,13,12,11,6,5,8,7,10,9,4,3,2,1] => [1,14,13,12,7,6,9,8,11,10,5,4,3,2]
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9)] => [14,13,12,11,6,5,10,9,8,7,4,3,2,1] => [1,14,13,12,7,6,11,10,9,8,5,4,3,2]
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)] => [12,11,10,9,8,7,6,5,4,3,2,1,14,13] => [13,12,11,10,9,8,7,6,5,4,3,2,1,14]
[(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13)] => [14,11,10,9,8,7,6,5,4,3,2,13,12,1] => [1,12,11,10,9,8,7,6,5,4,3,14,13,2]
[(1,14),(2,13),(3,10),(4,9),(5,8),(6,7),(11,12)] => [14,13,10,9,8,7,6,5,4,3,12,11,2,1] => [1,14,11,10,9,8,7,6,5,4,13,12,3,2]
[(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11)] => [14,13,12,9,8,7,6,5,4,11,10,3,2,1] => [1,14,13,10,9,8,7,6,5,12,11,4,3,2]
[(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10)] => [14,13,12,11,8,7,6,5,10,9,4,3,2,1] => [1,14,13,12,9,8,7,6,11,10,5,4,3,2]
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9)] => [14,13,12,11,10,7,6,9,8,5,4,3,2,1] => [1,14,13,12,11,8,7,10,9,6,5,4,3,2]
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8)] => [14,13,12,11,10,9,8,7,6,5,4,3,2,1] => [1,14,13,12,11,10,9,8,7,6,5,4,3,2]
[(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] => [3,2,5,4,7,6,9,8,11,10,13,12,15,14,1,16]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)] => [2,1,4,3,6,5,8,7,10,9,12,11,16,15,14,13] => [3,2,5,4,7,6,9,8,11,10,13,12,1,16,15,14]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)] => [2,1,4,3,6,5,8,7,10,9,16,13,12,15,14,11] => [3,2,5,4,7,6,9,8,11,10,1,14,13,16,15,12]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)] => [2,1,4,3,6,5,8,7,10,9,16,15,14,13,12,11] => [3,2,5,4,7,6,9,8,11,10,1,16,15,14,13,12]
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)] => [2,1,4,3,6,5,8,7,16,11,10,13,12,15,14,9] => [3,2,5,4,7,6,9,8,1,12,11,14,13,16,15,10]
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,13),(11,12),(14,15)] => [2,1,4,3,6,5,8,7,16,13,12,11,10,15,14,9] => [3,2,5,4,7,6,9,8,1,14,13,12,11,16,15,10]
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,12),(13,14)] => [2,1,4,3,6,5,8,7,16,15,12,11,14,13,10,9] => [3,2,5,4,7,6,9,8,1,16,13,12,15,14,11,10]
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,14),(12,13)] => [2,1,4,3,6,5,8,7,16,15,14,13,12,11,10,9] => [3,2,5,4,7,6,9,8,1,16,15,14,13,12,11,10]
[(1,2),(3,4),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)] => [2,1,4,3,6,5,16,9,8,11,10,13,12,15,14,7] => [3,2,5,4,7,6,1,10,9,12,11,14,13,16,15,8]
[(1,2),(3,4),(5,6),(7,16),(8,11),(9,10),(12,13),(14,15)] => [2,1,4,3,6,5,16,11,10,9,8,13,12,15,14,7] => [3,2,5,4,7,6,1,12,11,10,9,14,13,16,15,8]
[(1,2),(3,4),(5,6),(7,16),(8,13),(9,10),(11,12),(14,15)] => [2,1,4,3,6,5,16,13,10,9,12,11,8,15,14,7] => [3,2,5,4,7,6,1,14,11,10,13,12,9,16,15,8]
[(1,2),(3,4),(5,6),(7,16),(8,13),(9,12),(10,11),(14,15)] => [2,1,4,3,6,5,16,13,12,11,10,9,8,15,14,7] => [3,2,5,4,7,6,1,14,13,12,11,10,9,16,15,8]
[(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)] => [2,1,4,3,16,7,6,9,8,11,10,13,12,15,14,5] => [3,2,5,4,1,8,7,10,9,12,11,14,13,16,15,6]
[(1,2),(3,4),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)] => [2,1,4,3,16,9,8,7,6,11,10,13,12,15,14,5] => [3,2,5,4,1,10,9,8,7,12,11,14,13,16,15,6]
[(1,2),(3,4),(5,16),(6,11),(7,8),(9,10),(12,13),(14,15)] => [2,1,4,3,16,11,8,7,10,9,6,13,12,15,14,5] => [3,2,5,4,1,12,9,8,11,10,7,14,13,16,15,6]
[(1,2),(3,4),(5,16),(6,11),(7,10),(8,9),(12,13),(14,15)] => [2,1,4,3,16,11,10,9,8,7,6,13,12,15,14,5] => [3,2,5,4,1,12,11,10,9,8,7,14,13,16,15,6]
[(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)] => [2,1,16,5,4,7,6,9,8,11,10,13,12,15,14,3] => [3,2,1,6,5,8,7,10,9,12,11,14,13,16,15,4]
[(1,2),(3,16),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)] => [2,1,16,7,6,5,4,9,8,11,10,13,12,15,14,3] => [3,2,1,8,7,6,5,10,9,12,11,14,13,16,15,4]
[(1,2),(3,16),(4,9),(5,6),(7,8),(10,11),(12,13),(14,15)] => [2,1,16,9,6,5,8,7,4,11,10,13,12,15,14,3] => [3,2,1,10,7,6,9,8,5,12,11,14,13,16,15,4]
[(1,2),(3,16),(4,9),(5,8),(6,7),(10,11),(12,13),(14,15)] => [2,1,16,9,8,7,6,5,4,11,10,13,12,15,14,3] => [3,2,1,10,9,8,7,6,5,12,11,14,13,16,15,4]
[(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)] => [2,1,16,15,14,7,6,13,12,11,10,9,8,5,4,3] => [3,2,1,16,15,8,7,14,13,12,11,10,9,6,5,4]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)] => [2,1,16,15,14,13,8,7,10,9,12,11,6,5,4,3] => [3,2,1,16,15,14,9,8,11,10,13,12,7,6,5,4]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)] => [2,1,16,15,14,13,8,7,12,11,10,9,6,5,4,3] => [3,2,1,16,15,14,9,8,13,12,11,10,7,6,5,4]
[(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)] => [2,1,16,15,14,11,10,9,8,7,6,13,12,5,4,3] => [3,2,1,16,15,12,11,10,9,8,7,14,13,6,5,4]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)] => [2,1,16,15,14,13,10,9,8,7,12,11,6,5,4,3] => [3,2,1,16,15,14,11,10,9,8,13,12,7,6,5,4]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)] => [2,1,16,15,14,13,12,9,8,11,10,7,6,5,4,3] => [3,2,1,16,15,14,13,10,9,12,11,8,7,6,5,4]
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)] => [2,1,16,15,14,13,12,11,10,9,8,7,6,5,4,3] => [3,2,1,16,15,14,13,12,11,10,9,8,7,6,5,4]
[(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)] => [16,3,2,5,4,7,6,9,8,11,10,13,12,15,14,1] => [1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,2]
[(1,16),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15)] => [16,5,4,3,2,7,6,9,8,11,10,13,12,15,14,1] => [1,6,5,4,3,8,7,10,9,12,11,14,13,16,15,2]
[(1,16),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(14,15)] => [16,7,4,3,6,5,2,9,8,11,10,13,12,15,14,1] => [1,8,5,4,7,6,3,10,9,12,11,14,13,16,15,2]
[(1,16),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13),(14,15)] => [16,7,6,5,4,3,2,9,8,11,10,13,12,15,14,1] => [1,8,7,6,5,4,3,10,9,12,11,14,13,16,15,2]
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(15,16)] => [14,13,12,5,4,11,10,9,8,7,6,3,2,1,16,15] => [15,14,13,6,5,12,11,10,9,8,7,4,3,2,1,16]
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(15,16)] => [14,13,12,11,6,5,8,7,10,9,4,3,2,1,16,15] => [15,14,13,12,7,6,9,8,11,10,5,4,3,2,1,16]
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(15,16)] => [14,13,12,11,6,5,10,9,8,7,4,3,2,1,16,15] => [15,14,13,12,7,6,11,10,9,8,5,4,3,2,1,16]
[(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(15,16)] => [14,13,12,9,8,7,6,5,4,11,10,3,2,1,16,15] => [15,14,13,10,9,8,7,6,5,12,11,4,3,2,1,16]
[(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(15,16)] => [14,13,12,11,8,7,6,5,10,9,4,3,2,1,16,15] => [15,14,13,12,9,8,7,6,11,10,5,4,3,2,1,16]
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,16)] => [14,13,12,11,10,7,6,9,8,5,4,3,2,1,16,15] => [15,14,13,12,11,8,7,10,9,6,5,4,3,2,1,16]
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16)] => [14,13,12,11,10,9,8,7,6,5,4,3,2,1,16,15] => [15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,16]
[(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [2,1,4,3,6,5,8,7,11,12,9,10] => [3,2,5,4,7,6,9,8,12,1,10,11]
[(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [2,1,4,3,6,5,9,10,7,8,12,11] => [3,2,5,4,7,6,10,11,8,9,1,12]
[(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [2,1,4,3,6,5,9,11,7,12,8,10] => [3,2,5,4,7,6,10,12,8,1,9,11]
[(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [2,1,4,3,6,5,10,11,12,7,8,9] => [3,2,5,4,7,6,11,12,1,8,9,10]
[(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [2,1,4,3,7,8,5,6,10,9,12,11] => [3,2,5,4,8,9,6,7,11,10,1,12]
[(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [2,1,4,3,7,8,5,6,11,12,9,10] => [3,2,5,4,8,9,6,7,12,1,10,11]
[(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [2,1,4,3,7,9,5,10,6,8,12,11] => [3,2,5,4,8,10,6,11,7,9,1,12]
[(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [2,1,4,3,7,9,5,11,6,12,8,10] => [3,2,5,4,8,10,6,12,7,1,9,11]
[(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [2,1,4,3,7,10,5,11,12,6,8,9] => [3,2,5,4,8,11,6,12,1,7,9,10]
[(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [2,1,4,3,8,9,10,5,6,7,12,11] => [3,2,5,4,9,10,11,6,7,8,1,12]
[(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [2,1,4,3,8,9,11,5,6,12,7,10] => [3,2,5,4,9,10,12,6,7,1,8,11]
[(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [2,1,4,3,8,10,11,5,12,6,7,9] => [3,2,5,4,9,11,12,6,1,7,8,10]
[(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => [2,1,4,3,9,10,11,12,5,6,7,8] => [3,2,5,4,10,11,12,1,6,7,8,9]
[(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [2,1,5,6,3,4,8,7,10,9,12,11] => [3,2,6,7,4,5,9,8,11,10,1,12]
[(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [2,1,5,6,3,4,8,7,11,12,9,10] => [3,2,6,7,4,5,9,8,12,1,10,11]
[(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [2,1,5,6,3,4,9,10,7,8,12,11] => [3,2,6,7,4,5,10,11,8,9,1,12]
[(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [2,1,5,6,3,4,9,11,7,12,8,10] => [3,2,6,7,4,5,10,12,8,1,9,11]
[(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [2,1,5,6,3,4,10,11,12,7,8,9] => [3,2,6,7,4,5,11,12,1,8,9,10]
[(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [2,1,5,7,3,8,4,6,10,9,12,11] => [3,2,6,8,4,9,5,7,11,10,1,12]
[(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [2,1,5,7,3,8,4,6,11,12,9,10] => [3,2,6,8,4,9,5,7,12,1,10,11]
[(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [2,1,5,7,3,9,4,10,6,8,12,11] => [3,2,6,8,4,10,5,11,7,9,1,12]
[(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [2,1,5,7,3,9,4,11,6,12,8,10] => [3,2,6,8,4,10,5,12,7,1,9,11]
[(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [2,1,5,7,3,10,4,11,12,6,8,9] => [3,2,6,8,4,11,5,12,1,7,9,10]
[(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [2,1,5,8,3,9,10,4,6,7,12,11] => [3,2,6,9,4,10,11,5,7,8,1,12]
[(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [2,1,5,8,3,9,11,4,6,12,7,10] => [3,2,6,9,4,10,12,5,7,1,8,11]
[(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [2,1,5,8,3,10,11,4,12,6,7,9] => [3,2,6,9,4,11,12,5,1,7,8,10]
[(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [2,1,5,9,3,10,11,12,4,6,7,8] => [3,2,6,10,4,11,12,1,5,7,8,9]
[(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [2,1,6,7,8,3,4,5,10,9,12,11] => [3,2,7,8,9,4,5,6,11,10,1,12]
[(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [2,1,6,7,8,3,4,5,11,12,9,10] => [3,2,7,8,9,4,5,6,12,1,10,11]
[(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [2,1,6,7,9,3,4,10,5,8,12,11] => [3,2,7,8,10,4,5,11,6,9,1,12]
[(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [2,1,6,7,9,3,4,11,5,12,8,10] => [3,2,7,8,10,4,5,12,6,1,9,11]
[(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [2,1,6,7,10,3,4,11,12,5,8,9] => [3,2,7,8,11,4,5,12,1,6,9,10]
[(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [2,1,6,8,9,3,10,4,5,7,12,11] => [3,2,7,9,10,4,11,5,6,8,1,12]
[(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [2,1,6,8,9,3,11,4,5,12,7,10] => [3,2,7,9,10,4,12,5,6,1,8,11]
[(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [2,1,6,8,10,3,11,4,12,5,7,9] => [3,2,7,9,11,4,12,5,1,6,8,10]
[(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [2,1,6,9,10,3,11,12,4,5,7,8] => [3,2,7,10,11,4,12,1,5,6,8,9]
[(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => [2,1,7,8,9,10,3,4,5,6,12,11] => [3,2,8,9,10,11,4,5,6,7,1,12]
[(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [2,1,7,8,9,11,3,4,5,12,6,10] => [3,2,8,9,10,12,4,5,6,1,7,11]
[(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [2,1,7,8,10,11,3,4,12,5,6,9] => [3,2,8,9,11,12,4,5,1,6,7,10]
[(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => [2,1,7,9,10,11,3,12,4,5,6,8] => [3,2,8,10,11,12,4,1,5,6,7,9]
[(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => [2,1,8,9,10,11,12,3,4,5,6,7] => [3,2,9,10,11,12,1,4,5,6,7,8]
[(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [3,4,1,2,6,5,8,7,10,9,12,11] => [4,5,2,3,7,6,9,8,11,10,1,12]
[(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [3,4,1,2,6,5,8,7,11,12,9,10] => [4,5,2,3,7,6,9,8,12,1,10,11]
[(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [3,4,1,2,6,5,9,10,7,8,12,11] => [4,5,2,3,7,6,10,11,8,9,1,12]
[(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [3,4,1,2,6,5,9,11,7,12,8,10] => [4,5,2,3,7,6,10,12,8,1,9,11]
[(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [3,4,1,2,6,5,10,11,12,7,8,9] => [4,5,2,3,7,6,11,12,1,8,9,10]
[(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [3,4,1,2,7,8,5,6,10,9,12,11] => [4,5,2,3,8,9,6,7,11,10,1,12]
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [3,4,1,2,7,8,5,6,11,12,9,10] => [4,5,2,3,8,9,6,7,12,1,10,11]
[(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [3,4,1,2,7,9,5,10,6,8,12,11] => [4,5,2,3,8,10,6,11,7,9,1,12]
[(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [3,4,1,2,7,9,5,11,6,12,8,10] => [4,5,2,3,8,10,6,12,7,1,9,11]
[(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [3,4,1,2,7,10,5,11,12,6,8,9] => [4,5,2,3,8,11,6,12,1,7,9,10]
[(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [3,4,1,2,8,9,10,5,6,7,12,11] => [4,5,2,3,9,10,11,6,7,8,1,12]
[(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [3,4,1,2,8,9,11,5,6,12,7,10] => [4,5,2,3,9,10,12,6,7,1,8,11]
[(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => [3,4,1,2,8,10,11,5,12,6,7,9] => [4,5,2,3,9,11,12,6,1,7,8,10]
[(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => [3,4,1,2,9,10,11,12,5,6,7,8] => [4,5,2,3,10,11,12,1,6,7,8,9]
[(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [3,5,1,6,2,4,8,7,10,9,12,11] => [4,6,2,7,3,5,9,8,11,10,1,12]
[(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [3,5,1,6,2,4,8,7,11,12,9,10] => [4,6,2,7,3,5,9,8,12,1,10,11]
[(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [3,5,1,6,2,4,9,10,7,8,12,11] => [4,6,2,7,3,5,10,11,8,9,1,12]
[(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [3,5,1,6,2,4,9,11,7,12,8,10] => [4,6,2,7,3,5,10,12,8,1,9,11]
[(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => [3,5,1,6,2,4,10,11,12,7,8,9] => [4,6,2,7,3,5,11,12,1,8,9,10]
[(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [3,5,1,7,2,8,4,6,10,9,12,11] => [4,6,2,8,3,9,5,7,11,10,1,12]
[(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [3,5,1,7,2,8,4,6,11,12,9,10] => [4,6,2,8,3,9,5,7,12,1,10,11]
[(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [3,5,1,7,2,9,4,10,6,8,12,11] => [4,6,2,8,3,10,5,11,7,9,1,12]
[(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [3,5,1,7,2,9,4,11,6,12,8,10] => [4,6,2,8,3,10,5,12,7,1,9,11]
[(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [3,5,1,7,2,10,4,11,12,6,8,9] => [4,6,2,8,3,11,5,12,1,7,9,10]
[(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [3,5,1,8,2,9,10,4,6,7,12,11] => [4,6,2,9,3,10,11,5,7,8,1,12]
[(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [3,5,1,8,2,9,11,4,6,12,7,10] => [4,6,2,9,3,10,12,5,7,1,8,11]
[(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [3,5,1,8,2,10,11,4,12,6,7,9] => [4,6,2,9,3,11,12,5,1,7,8,10]
[(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [3,5,1,9,2,10,11,12,4,6,7,8] => [4,6,2,10,3,11,12,1,5,7,8,9]
[(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [3,6,1,7,8,2,4,5,10,9,12,11] => [4,7,2,8,9,3,5,6,11,10,1,12]
[(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [3,6,1,7,8,2,4,5,11,12,9,10] => [4,7,2,8,9,3,5,6,12,1,10,11]
[(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [3,6,1,7,9,2,4,10,5,8,12,11] => [4,7,2,8,10,3,5,11,6,9,1,12]
[(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [3,6,1,7,9,2,4,11,5,12,8,10] => [4,7,2,8,10,3,5,12,6,1,9,11]
[(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [3,6,1,7,10,2,4,11,12,5,8,9] => [4,7,2,8,11,3,5,12,1,6,9,10]
[(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [3,6,1,8,9,2,10,4,5,7,12,11] => [4,7,2,9,10,3,11,5,6,8,1,12]
[(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [3,6,1,8,9,2,11,4,5,12,7,10] => [4,7,2,9,10,3,12,5,6,1,8,11]
[(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [3,6,1,8,10,2,11,4,12,5,7,9] => [4,7,2,9,11,3,12,5,1,6,8,10]
[(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [3,6,1,9,10,2,11,12,4,5,7,8] => [4,7,2,10,11,3,12,1,5,6,8,9]
[(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [3,7,1,8,9,10,2,4,5,6,12,11] => [4,8,2,9,10,11,3,5,6,7,1,12]
[(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [3,7,1,8,9,11,2,4,5,12,6,10] => [4,8,2,9,10,12,3,5,6,1,7,11]
[(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [3,7,1,8,10,11,2,4,12,5,6,9] => [4,8,2,9,11,12,3,5,1,6,7,10]
[(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [3,7,1,9,10,11,2,12,4,5,6,8] => [4,8,2,10,11,12,3,1,5,6,7,9]
[(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => [3,8,1,9,10,11,12,2,4,5,6,7] => [4,9,2,10,11,12,1,3,5,6,7,8]
[(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [4,5,6,1,2,3,8,7,10,9,12,11] => [5,6,7,2,3,4,9,8,11,10,1,12]
[(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [4,5,6,1,2,3,8,7,11,12,9,10] => [5,6,7,2,3,4,9,8,12,1,10,11]
[(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [4,5,6,1,2,3,9,10,7,8,12,11] => [5,6,7,2,3,4,10,11,8,9,1,12]
[(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => [4,5,6,1,2,3,9,11,7,12,8,10] => [5,6,7,2,3,4,10,12,8,1,9,11]
[(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)] => [4,5,6,1,2,3,10,11,12,7,8,9] => [5,6,7,2,3,4,11,12,1,8,9,10]
[(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [4,5,7,1,2,8,3,6,10,9,12,11] => [5,6,8,2,3,9,4,7,11,10,1,12]
[(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [4,5,7,1,2,8,3,6,11,12,9,10] => [5,6,8,2,3,9,4,7,12,1,10,11]
[(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [4,5,7,1,2,9,3,10,6,8,12,11] => [5,6,8,2,3,10,4,11,7,9,1,12]
[(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [4,5,7,1,2,9,3,11,6,12,8,10] => [5,6,8,2,3,10,4,12,7,1,9,11]
[(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [4,5,7,1,2,10,3,11,12,6,8,9] => [5,6,8,2,3,11,4,12,1,7,9,10]
[(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [4,5,8,1,2,9,10,3,6,7,12,11] => [5,6,9,2,3,10,11,4,7,8,1,12]
[(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [4,5,8,1,2,9,11,3,6,12,7,10] => [5,6,9,2,3,10,12,4,7,1,8,11]
[(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [4,5,8,1,2,10,11,3,12,6,7,9] => [5,6,9,2,3,11,12,4,1,7,8,10]
[(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [4,5,9,1,2,10,11,12,3,6,7,8] => [5,6,10,2,3,11,12,1,4,7,8,9]
[(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [4,6,7,1,8,2,3,5,10,9,12,11] => [5,7,8,2,9,3,4,6,11,10,1,12]
[(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => [4,6,7,1,8,2,3,5,11,12,9,10] => [5,7,8,2,9,3,4,6,12,1,10,11]
[(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [4,6,7,1,9,2,3,10,5,8,12,11] => [5,7,8,2,10,3,4,11,6,9,1,12]
[(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [4,6,7,1,9,2,3,11,5,12,8,10] => [5,7,8,2,10,3,4,12,6,1,9,11]
[(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [4,6,7,1,10,2,3,11,12,5,8,9] => [5,7,8,2,11,3,4,12,1,6,9,10]
[(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [4,6,8,1,9,2,10,3,5,7,12,11] => [5,7,9,2,10,3,11,4,6,8,1,12]
[(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [4,6,8,1,9,2,11,3,5,12,7,10] => [5,7,9,2,10,3,12,4,6,1,8,11]
[(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [4,6,8,1,10,2,11,3,12,5,7,9] => [5,7,9,2,11,3,12,4,1,6,8,10]
[(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [4,6,9,1,10,2,11,12,3,5,7,8] => [5,7,10,2,11,3,12,1,4,6,8,9]
[(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [4,7,8,1,9,10,2,3,5,6,12,11] => [5,8,9,2,10,11,3,4,6,7,1,12]
[(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [4,7,8,1,9,11,2,3,5,12,6,10] => [5,8,9,2,10,12,3,4,6,1,7,11]
[(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [4,7,8,1,10,11,2,3,12,5,6,9] => [5,8,9,2,11,12,3,4,1,6,7,10]
[(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [4,7,9,1,10,11,2,12,3,5,6,8] => [5,8,10,2,11,12,3,1,4,6,7,9]
[(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [4,8,9,1,10,11,12,2,3,5,6,7] => [5,9,10,2,11,12,1,3,4,6,7,8]
[(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => [5,6,7,8,1,2,3,4,10,9,12,11] => [6,7,8,9,2,3,4,5,11,10,1,12]
[(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => [5,6,7,8,1,2,3,4,11,12,9,10] => [6,7,8,9,2,3,4,5,12,1,10,11]
[(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [5,6,7,9,1,2,3,10,4,8,12,11] => [6,7,8,10,2,3,4,11,5,9,1,12]
[(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [5,6,7,9,1,2,3,11,4,12,8,10] => [6,7,8,10,2,3,4,12,5,1,9,11]
[(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [5,6,7,10,1,2,3,11,12,4,8,9] => [6,7,8,11,2,3,4,12,1,5,9,10]
[(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [5,6,8,9,1,2,10,3,4,7,12,11] => [6,7,9,10,2,3,11,4,5,8,1,12]
[(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [5,6,8,9,1,2,11,3,4,12,7,10] => [6,7,9,10,2,3,12,4,5,1,8,11]
[(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [5,6,8,10,1,2,11,3,12,4,7,9] => [6,7,9,11,2,3,12,4,1,5,8,10]
[(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [5,6,9,10,1,2,11,12,3,4,7,8] => [6,7,10,11,2,3,12,1,4,5,8,9]
[(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => [5,7,8,9,1,10,2,3,4,6,12,11] => [6,8,9,10,2,11,3,4,5,7,1,12]
[(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [5,7,8,9,1,11,2,3,4,12,6,10] => [6,8,9,10,2,12,3,4,5,1,7,11]
[(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [5,7,8,10,1,11,2,3,12,4,6,9] => [6,8,9,11,2,12,3,4,1,5,7,10]
[(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [5,7,9,10,1,11,2,12,3,4,6,8] => [6,8,10,11,2,12,3,1,4,5,7,9]
[(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [5,8,9,10,1,11,12,2,3,4,6,7] => [6,9,10,11,2,12,1,3,4,5,7,8]
[(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => [6,7,8,9,10,1,2,3,4,5,12,11] => [7,8,9,10,11,2,3,4,5,6,1,12]
[(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => [6,7,8,9,11,1,2,3,4,12,5,10] => [7,8,9,10,12,2,3,4,5,1,6,11]
[(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [6,7,8,10,11,1,2,3,12,4,5,9] => [7,8,9,11,12,2,3,4,1,5,6,10]
[(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [6,7,9,10,11,1,2,12,3,4,5,8] => [7,8,10,11,12,2,3,1,4,5,6,9]
[(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => [6,8,9,10,11,1,12,2,3,4,5,7] => [7,9,10,11,12,2,1,3,4,5,6,8]
[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [7,8,9,10,11,12,1,2,3,4,5,6] => [8,9,10,11,12,1,2,3,4,5,6,7]
[(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] => [3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,1,18]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,18,17,16,15] => [3,2,5,4,7,6,9,8,11,10,13,12,15,14,1,18,17,16]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)] => [2,1,4,3,6,5,8,7,10,9,12,11,18,15,14,17,16,13] => [3,2,5,4,7,6,9,8,11,10,13,12,1,16,15,18,17,14]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,13),(14,15),(16,17)] => [2,1,4,3,6,5,8,7,10,9,18,13,12,15,14,17,16,11] => [3,2,5,4,7,6,9,8,11,10,1,14,13,16,15,18,17,12]
[(1,2),(3,4),(5,6),(7,8),(9,18),(10,11),(12,13),(14,15),(16,17)] => [2,1,4,3,6,5,8,7,18,11,10,13,12,15,14,17,16,9] => [3,2,5,4,7,6,9,8,1,12,11,14,13,16,15,18,17,10]
[(1,2),(3,4),(5,6),(7,18),(8,9),(10,11),(12,13),(14,15),(16,17)] => [2,1,4,3,6,5,18,9,8,11,10,13,12,15,14,17,16,7] => [3,2,5,4,7,6,1,10,9,12,11,14,13,16,15,18,17,8]
[(1,2),(3,4),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [2,1,4,3,18,7,6,9,8,11,10,13,12,15,14,17,16,5] => [3,2,5,4,1,8,7,10,9,12,11,14,13,16,15,18,17,6]
[(1,2),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [2,1,18,5,4,7,6,9,8,11,10,13,12,15,14,17,16,3] => [3,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17,4]
[(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [18,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,1] => [1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,2]
[(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] => [3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,1,20]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,20),(18,19)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,20,19,18,17] => [3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,1,20,19,18]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,17),(15,16)] => [2,1,4,3,6,5,8,7,10,9,12,11,18,17,16,15,14,13] => [3,2,5,4,7,6,9,8,11,10,13,12,1,18,17,16,15,14]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,20),(16,17),(18,19)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,20,17,16,19,18,15] => [3,2,5,4,7,6,9,8,11,10,13,12,15,14,1,18,17,20,19,16]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,15),(13,14),(16,17)] => [2,1,4,3,6,5,8,7,10,9,18,15,14,13,12,17,16,11] => [3,2,5,4,7,6,9,8,11,10,1,16,15,14,13,18,17,12]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,20),(14,15),(16,17),(18,19)] => [2,1,4,3,6,5,8,7,10,9,12,11,20,15,14,17,16,19,18,13] => [3,2,5,4,7,6,9,8,11,10,13,12,1,16,15,18,17,20,19,14]
[(1,2),(3,4),(5,6),(7,8),(9,18),(10,13),(11,12),(14,15),(16,17)] => [2,1,4,3,6,5,8,7,18,13,12,11,10,15,14,17,16,9] => [3,2,5,4,7,6,9,8,1,14,13,12,11,16,15,18,17,10]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,20),(12,13),(14,15),(16,17),(18,19)] => [2,1,4,3,6,5,8,7,10,9,20,13,12,15,14,17,16,19,18,11] => [3,2,5,4,7,6,9,8,11,10,1,14,13,16,15,18,17,20,19,12]
[(1,2),(3,4),(5,6),(7,18),(8,11),(9,10),(12,13),(14,15),(16,17)] => [2,1,4,3,6,5,18,11,10,9,8,13,12,15,14,17,16,7] => [3,2,5,4,7,6,1,12,11,10,9,14,13,16,15,18,17,8]
[(1,2),(3,4),(5,6),(7,8),(9,20),(10,11),(12,13),(14,15),(16,17),(18,19)] => [2,1,4,3,6,5,8,7,20,11,10,13,12,15,14,17,16,19,18,9] => [3,2,5,4,7,6,9,8,1,12,11,14,13,16,15,18,17,20,19,10]
[(1,2),(3,4),(5,18),(6,9),(7,8),(10,11),(12,13),(14,15),(16,17)] => [2,1,4,3,18,9,8,7,6,11,10,13,12,15,14,17,16,5] => [3,2,5,4,1,10,9,8,7,12,11,14,13,16,15,18,17,6]
[(1,2),(3,4),(5,6),(7,20),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => [2,1,4,3,6,5,20,9,8,11,10,13,12,15,14,17,16,19,18,7] => [3,2,5,4,7,6,1,10,9,12,11,14,13,16,15,18,17,20,19,8]
[(1,2),(3,18),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)] => [2,1,18,7,6,5,4,9,8,11,10,13,12,15,14,17,16,3] => [3,2,1,8,7,6,5,10,9,12,11,14,13,16,15,18,17,4]
[(1,2),(3,4),(5,20),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => [2,1,4,3,20,7,6,9,8,11,10,13,12,15,14,17,16,19,18,5] => [3,2,5,4,1,8,7,10,9,12,11,14,13,16,15,18,17,20,19,6]
[(1,18),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [18,5,4,3,2,7,6,9,8,11,10,13,12,15,14,17,16,1] => [1,6,5,4,3,8,7,10,9,12,11,14,13,16,15,18,17,2]
[(1,2),(3,20),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => [2,1,20,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,3] => [3,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19,4]
[(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => [20,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,1] => [1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19,2]
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18)] => [16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,18,17] => [17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,18]
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => [2,1,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3] => [3,2,1,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4]
[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(19,20)] => [18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,20,19] => [19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,20]
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(17,18)] => [16,15,14,13,12,11,8,7,10,9,6,5,4,3,2,1,18,17] => [17,16,15,14,13,12,9,8,11,10,7,6,5,4,3,2,1,18]
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => [2,1,18,17,16,15,14,13,10,9,12,11,8,7,6,5,4,3] => [3,2,1,18,17,16,15,14,11,10,13,12,9,8,7,6,5,4]
[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => [2,1,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3] => [3,2,1,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4]
[(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(21,22)] => [20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,22,21] => [21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,22]
[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(19,20)] => [18,17,16,15,14,13,12,9,8,11,10,7,6,5,4,3,2,1,20,19] => [19,18,17,16,15,14,13,10,9,12,11,8,7,6,5,4,3,2,1,20]
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(17,18)] => [16,15,14,13,12,9,8,7,6,11,10,5,4,3,2,1,18,17] => [17,16,15,14,13,10,9,8,7,12,11,6,5,4,3,2,1,18]
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(17,18)] => [16,15,14,13,12,7,6,11,10,9,8,5,4,3,2,1,18,17] => [17,16,15,14,13,8,7,12,11,10,9,6,5,4,3,2,1,18]
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => [2,1,18,17,16,15,14,11,10,9,8,13,12,7,6,5,4,3] => [3,2,1,18,17,16,15,12,11,10,9,14,13,8,7,6,5,4]
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)] => [2,1,18,17,16,15,14,9,8,13,12,11,10,7,6,5,4,3] => [3,2,1,18,17,16,15,10,9,14,13,12,11,8,7,6,5,4]
[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)] => [2,1,20,19,18,17,16,15,14,11,10,13,12,9,8,7,6,5,4,3] => [3,2,1,20,19,18,17,16,15,12,11,14,13,10,9,8,7,6,5,4]
[(1,2),(3,22),(4,21),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => [2,1,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3] => [3,2,1,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4]
[(1,8),(2,9),(3,10),(4,11),(5,12),(6,13),(7,14)] => [8,9,10,11,12,13,14,1,2,3,4,5,6,7] => [9,10,11,12,13,14,1,2,3,4,5,6,7,8]
[(1,8),(2,7),(3,9),(4,10),(5,11),(6,12)] => [8,7,9,10,11,12,2,1,3,4,5,6] => [9,8,10,11,12,1,3,2,4,5,6,7]
[(1,7),(2,8),(3,9),(4,10),(5,12),(6,11)] => [7,8,9,10,12,11,1,2,3,4,6,5] => [8,9,10,11,1,12,2,3,4,5,7,6]
Map
to permutation
Description
Returns the fixed point free involution whose transpositions are the pairs in the perfect matching.
Map
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
searching the database
Sorry, this map was not found in the database.