Identifier
Mp00146:
Dyck paths
—to tunnel matching⟶
Perfect matchings
Mp00058: Perfect matchings —to permutation⟶ Permutations
Mp00058: Perfect matchings —to permutation⟶ Permutations
Images
[1,0] => [(1,2)] => [2,1]
[1,0,1,0] => [(1,2),(3,4)] => [2,1,4,3]
[1,1,0,0] => [(1,4),(2,3)] => [4,3,2,1]
[1,0,1,0,1,0] => [(1,2),(3,4),(5,6)] => [2,1,4,3,6,5]
[1,0,1,1,0,0] => [(1,2),(3,6),(4,5)] => [2,1,6,5,4,3]
[1,1,0,0,1,0] => [(1,4),(2,3),(5,6)] => [4,3,2,1,6,5]
[1,1,0,1,0,0] => [(1,6),(2,3),(4,5)] => [6,3,2,5,4,1]
[1,1,1,0,0,0] => [(1,6),(2,5),(3,4)] => [6,5,4,3,2,1]
[1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8)] => [2,1,4,3,6,5,8,7]
[1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7)] => [2,1,4,3,8,7,6,5]
[1,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,8)] => [2,1,6,5,4,3,8,7]
[1,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7)] => [2,1,8,5,4,7,6,3]
[1,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,7),(5,6)] => [2,1,8,7,6,5,4,3]
[1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8)] => [4,3,2,1,6,5,8,7]
[1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7)] => [4,3,2,1,8,7,6,5]
[1,1,0,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,8)] => [6,3,2,5,4,1,8,7]
[1,1,0,1,0,1,0,0] => [(1,8),(2,3),(4,5),(6,7)] => [8,3,2,5,4,7,6,1]
[1,1,0,1,1,0,0,0] => [(1,8),(2,3),(4,7),(5,6)] => [8,3,2,7,6,5,4,1]
[1,1,1,0,0,0,1,0] => [(1,6),(2,5),(3,4),(7,8)] => [6,5,4,3,2,1,8,7]
[1,1,1,0,0,1,0,0] => [(1,8),(2,5),(3,4),(6,7)] => [8,5,4,3,2,7,6,1]
[1,1,1,0,1,0,0,0] => [(1,8),(2,7),(3,4),(5,6)] => [8,7,4,3,6,5,2,1]
[1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5)] => [8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [2,1,4,3,6,5,8,7,10,9]
[1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [2,1,4,3,6,5,10,9,8,7]
[1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [2,1,4,3,8,7,6,5,10,9]
[1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [2,1,4,3,10,7,6,9,8,5]
[1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [2,1,4,3,10,9,8,7,6,5]
[1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [2,1,6,5,4,3,8,7,10,9]
[1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [2,1,6,5,4,3,10,9,8,7]
[1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [2,1,8,5,4,7,6,3,10,9]
[1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [2,1,10,5,4,7,6,9,8,3]
[1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [2,1,10,5,4,9,8,7,6,3]
[1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [2,1,8,7,6,5,4,3,10,9]
[1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [2,1,10,7,6,5,4,9,8,3]
[1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [2,1,10,9,6,5,8,7,4,3]
[1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [2,1,10,9,8,7,6,5,4,3]
[1,1,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [4,3,2,1,6,5,8,7,10,9]
[1,1,0,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [4,3,2,1,6,5,10,9,8,7]
[1,1,0,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [4,3,2,1,8,7,6,5,10,9]
[1,1,0,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [4,3,2,1,10,7,6,9,8,5]
[1,1,0,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,10),(6,9),(7,8)] => [4,3,2,1,10,9,8,7,6,5]
[1,1,0,1,0,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [6,3,2,5,4,1,8,7,10,9]
[1,1,0,1,0,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [6,3,2,5,4,1,10,9,8,7]
[1,1,0,1,0,1,0,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [8,3,2,5,4,7,6,1,10,9]
[1,1,0,1,0,1,0,1,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [10,3,2,5,4,7,6,9,8,1]
[1,1,0,1,0,1,1,0,0,0] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [10,3,2,5,4,9,8,7,6,1]
[1,1,0,1,1,0,0,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [8,3,2,7,6,5,4,1,10,9]
[1,1,0,1,1,0,0,1,0,0] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [10,3,2,7,6,5,4,9,8,1]
[1,1,0,1,1,0,1,0,0,0] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [10,3,2,9,6,5,8,7,4,1]
[1,1,0,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [10,3,2,9,8,7,6,5,4,1]
[1,1,1,0,0,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [6,5,4,3,2,1,8,7,10,9]
[1,1,1,0,0,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,10),(8,9)] => [6,5,4,3,2,1,10,9,8,7]
[1,1,1,0,0,1,0,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [8,5,4,3,2,7,6,1,10,9]
[1,1,1,0,0,1,0,1,0,0] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [10,5,4,3,2,7,6,9,8,1]
[1,1,1,0,0,1,1,0,0,0] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [10,5,4,3,2,9,8,7,6,1]
[1,1,1,0,1,0,0,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [8,7,4,3,6,5,2,1,10,9]
[1,1,1,0,1,0,0,1,0,0] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [10,7,4,3,6,5,2,9,8,1]
[1,1,1,0,1,0,1,0,0,0] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [10,9,4,3,6,5,8,7,2,1]
[1,1,1,0,1,1,0,0,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [10,9,4,3,8,7,6,5,2,1]
[1,1,1,1,0,0,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [8,7,6,5,4,3,2,1,10,9]
[1,1,1,1,0,0,0,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [10,7,6,5,4,3,2,9,8,1]
[1,1,1,1,0,0,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [10,9,6,5,4,3,8,7,2,1]
[1,1,1,1,0,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [10,9,8,5,4,7,6,3,2,1]
[1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [10,9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [2,1,4,3,6,5,8,7,10,9,12,11]
[1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [2,1,4,3,6,5,8,7,12,11,10,9]
[1,0,1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [2,1,4,3,6,5,10,9,8,7,12,11]
[1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [2,1,4,3,6,5,12,9,8,11,10,7]
[1,0,1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [2,1,4,3,6,5,12,11,10,9,8,7]
[1,0,1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [2,1,4,3,8,7,6,5,10,9,12,11]
[1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [2,1,4,3,8,7,6,5,12,11,10,9]
[1,0,1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [2,1,4,3,10,7,6,9,8,5,12,11]
[1,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [2,1,4,3,12,7,6,9,8,11,10,5]
[1,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [2,1,4,3,12,7,6,11,10,9,8,5]
[1,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [2,1,4,3,10,9,8,7,6,5,12,11]
[1,0,1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [2,1,4,3,12,9,8,7,6,11,10,5]
[1,0,1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [2,1,4,3,12,11,8,7,10,9,6,5]
[1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [2,1,4,3,12,11,10,9,8,7,6,5]
[1,0,1,1,0,0,1,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [2,1,6,5,4,3,8,7,10,9,12,11]
[1,0,1,1,0,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [2,1,6,5,4,3,8,7,12,11,10,9]
[1,0,1,1,0,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [2,1,6,5,4,3,10,9,8,7,12,11]
[1,0,1,1,0,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [2,1,6,5,4,3,12,9,8,11,10,7]
[1,0,1,1,0,0,1,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [2,1,6,5,4,3,12,11,10,9,8,7]
[1,0,1,1,0,1,0,0,1,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [2,1,8,5,4,7,6,3,10,9,12,11]
[1,0,1,1,0,1,0,0,1,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [2,1,8,5,4,7,6,3,12,11,10,9]
[1,0,1,1,0,1,0,1,0,0,1,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [2,1,10,5,4,7,6,9,8,3,12,11]
[1,0,1,1,0,1,0,1,0,1,0,0] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [2,1,12,5,4,7,6,9,8,11,10,3]
[1,0,1,1,0,1,0,1,1,0,0,0] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [2,1,12,5,4,7,6,11,10,9,8,3]
[1,0,1,1,0,1,1,0,0,0,1,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [2,1,10,5,4,9,8,7,6,3,12,11]
[1,0,1,1,0,1,1,0,0,1,0,0] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [2,1,12,5,4,9,8,7,6,11,10,3]
[1,0,1,1,0,1,1,0,1,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [2,1,12,5,4,11,8,7,10,9,6,3]
[1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [2,1,12,5,4,11,10,9,8,7,6,3]
[1,0,1,1,1,0,0,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [2,1,8,7,6,5,4,3,10,9,12,11]
[1,0,1,1,1,0,0,0,1,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [2,1,8,7,6,5,4,3,12,11,10,9]
[1,0,1,1,1,0,0,1,0,0,1,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [2,1,10,7,6,5,4,9,8,3,12,11]
[1,0,1,1,1,0,0,1,0,1,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [2,1,12,7,6,5,4,9,8,11,10,3]
[1,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [2,1,12,7,6,5,4,11,10,9,8,3]
[1,0,1,1,1,0,1,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [2,1,10,9,6,5,8,7,4,3,12,11]
[1,0,1,1,1,0,1,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [2,1,12,9,6,5,8,7,4,11,10,3]
[1,0,1,1,1,0,1,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [2,1,12,11,6,5,8,7,10,9,4,3]
[1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [2,1,12,11,6,5,10,9,8,7,4,3]
>>> Load all 1165 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [2,1,10,9,8,7,6,5,4,3,12,11]
[1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [2,1,12,9,8,7,6,5,4,11,10,3]
[1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [2,1,12,11,8,7,6,5,10,9,4,3]
[1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [2,1,12,11,10,7,6,9,8,5,4,3]
[1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [2,1,12,11,10,9,8,7,6,5,4,3]
[1,1,0,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [4,3,2,1,6,5,8,7,10,9,12,11]
[1,1,0,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [4,3,2,1,6,5,8,7,12,11,10,9]
[1,1,0,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [4,3,2,1,6,5,10,9,8,7,12,11]
[1,1,0,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [4,3,2,1,6,5,12,9,8,11,10,7]
[1,1,0,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [4,3,2,1,6,5,12,11,10,9,8,7]
[1,1,0,0,1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [4,3,2,1,8,7,6,5,10,9,12,11]
[1,1,0,0,1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [4,3,2,1,8,7,6,5,12,11,10,9]
[1,1,0,0,1,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [4,3,2,1,10,7,6,9,8,5,12,11]
[1,1,0,0,1,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [4,3,2,1,12,7,6,9,8,11,10,5]
[1,1,0,0,1,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [4,3,2,1,12,7,6,11,10,9,8,5]
[1,1,0,0,1,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [4,3,2,1,10,9,8,7,6,5,12,11]
[1,1,0,0,1,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [4,3,2,1,12,9,8,7,6,11,10,5]
[1,1,0,0,1,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [4,3,2,1,12,11,8,7,10,9,6,5]
[1,1,0,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [4,3,2,1,12,11,10,9,8,7,6,5]
[1,1,0,1,0,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [6,3,2,5,4,1,8,7,10,9,12,11]
[1,1,0,1,0,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [6,3,2,5,4,1,8,7,12,11,10,9]
[1,1,0,1,0,0,1,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [6,3,2,5,4,1,10,9,8,7,12,11]
[1,1,0,1,0,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [6,3,2,5,4,1,12,9,8,11,10,7]
[1,1,0,1,0,0,1,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [6,3,2,5,4,1,12,11,10,9,8,7]
[1,1,0,1,0,1,0,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [8,3,2,5,4,7,6,1,10,9,12,11]
[1,1,0,1,0,1,0,0,1,1,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [8,3,2,5,4,7,6,1,12,11,10,9]
[1,1,0,1,0,1,0,1,0,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [10,3,2,5,4,7,6,9,8,1,12,11]
[1,1,0,1,0,1,0,1,0,1,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [12,3,2,5,4,7,6,9,8,11,10,1]
[1,1,0,1,0,1,0,1,1,0,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [12,3,2,5,4,7,6,11,10,9,8,1]
[1,1,0,1,0,1,1,0,0,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [10,3,2,5,4,9,8,7,6,1,12,11]
[1,1,0,1,0,1,1,0,0,1,0,0] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [12,3,2,5,4,9,8,7,6,11,10,1]
[1,1,0,1,0,1,1,0,1,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [12,3,2,5,4,11,8,7,10,9,6,1]
[1,1,0,1,0,1,1,1,0,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [12,3,2,5,4,11,10,9,8,7,6,1]
[1,1,0,1,1,0,0,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [8,3,2,7,6,5,4,1,10,9,12,11]
[1,1,0,1,1,0,0,0,1,1,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [8,3,2,7,6,5,4,1,12,11,10,9]
[1,1,0,1,1,0,0,1,0,0,1,0] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [10,3,2,7,6,5,4,9,8,1,12,11]
[1,1,0,1,1,0,0,1,0,1,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [12,3,2,7,6,5,4,9,8,11,10,1]
[1,1,0,1,1,0,0,1,1,0,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [12,3,2,7,6,5,4,11,10,9,8,1]
[1,1,0,1,1,0,1,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [10,3,2,9,6,5,8,7,4,1,12,11]
[1,1,0,1,1,0,1,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [12,3,2,9,6,5,8,7,4,11,10,1]
[1,1,0,1,1,0,1,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [12,3,2,11,6,5,8,7,10,9,4,1]
[1,1,0,1,1,0,1,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [12,3,2,11,6,5,10,9,8,7,4,1]
[1,1,0,1,1,1,0,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [10,3,2,9,8,7,6,5,4,1,12,11]
[1,1,0,1,1,1,0,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [12,3,2,9,8,7,6,5,4,11,10,1]
[1,1,0,1,1,1,0,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [12,3,2,11,8,7,6,5,10,9,4,1]
[1,1,0,1,1,1,0,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [12,3,2,11,10,7,6,9,8,5,4,1]
[1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [12,3,2,11,10,9,8,7,6,5,4,1]
[1,1,1,0,0,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [6,5,4,3,2,1,8,7,10,9,12,11]
[1,1,1,0,0,0,1,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [6,5,4,3,2,1,8,7,12,11,10,9]
[1,1,1,0,0,0,1,1,0,0,1,0] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [6,5,4,3,2,1,10,9,8,7,12,11]
[1,1,1,0,0,0,1,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [6,5,4,3,2,1,12,9,8,11,10,7]
[1,1,1,0,0,0,1,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [6,5,4,3,2,1,12,11,10,9,8,7]
[1,1,1,0,0,1,0,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [8,5,4,3,2,7,6,1,10,9,12,11]
[1,1,1,0,0,1,0,0,1,1,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [8,5,4,3,2,7,6,1,12,11,10,9]
[1,1,1,0,0,1,0,1,0,0,1,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [10,5,4,3,2,7,6,9,8,1,12,11]
[1,1,1,0,0,1,0,1,0,1,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [12,5,4,3,2,7,6,9,8,11,10,1]
[1,1,1,0,0,1,0,1,1,0,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [12,5,4,3,2,7,6,11,10,9,8,1]
[1,1,1,0,0,1,1,0,0,0,1,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [10,5,4,3,2,9,8,7,6,1,12,11]
[1,1,1,0,0,1,1,0,0,1,0,0] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [12,5,4,3,2,9,8,7,6,11,10,1]
[1,1,1,0,0,1,1,0,1,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [12,5,4,3,2,11,8,7,10,9,6,1]
[1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [12,5,4,3,2,11,10,9,8,7,6,1]
[1,1,1,0,1,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [8,7,4,3,6,5,2,1,10,9,12,11]
[1,1,1,0,1,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [8,7,4,3,6,5,2,1,12,11,10,9]
[1,1,1,0,1,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [10,7,4,3,6,5,2,9,8,1,12,11]
[1,1,1,0,1,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [12,7,4,3,6,5,2,9,8,11,10,1]
[1,1,1,0,1,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [12,7,4,3,6,5,2,11,10,9,8,1]
[1,1,1,0,1,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [10,9,4,3,6,5,8,7,2,1,12,11]
[1,1,1,0,1,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [12,9,4,3,6,5,8,7,2,11,10,1]
[1,1,1,0,1,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [12,11,4,3,6,5,8,7,10,9,2,1]
[1,1,1,0,1,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [12,11,4,3,6,5,10,9,8,7,2,1]
[1,1,1,0,1,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [10,9,4,3,8,7,6,5,2,1,12,11]
[1,1,1,0,1,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [12,9,4,3,8,7,6,5,2,11,10,1]
[1,1,1,0,1,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [12,11,4,3,8,7,6,5,10,9,2,1]
[1,1,1,0,1,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [12,11,4,3,10,7,6,9,8,5,2,1]
[1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [12,11,4,3,10,9,8,7,6,5,2,1]
[1,1,1,1,0,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [8,7,6,5,4,3,2,1,10,9,12,11]
[1,1,1,1,0,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [8,7,6,5,4,3,2,1,12,11,10,9]
[1,1,1,1,0,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [10,7,6,5,4,3,2,9,8,1,12,11]
[1,1,1,1,0,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [12,7,6,5,4,3,2,9,8,11,10,1]
[1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [12,7,6,5,4,3,2,11,10,9,8,1]
[1,1,1,1,0,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [10,9,6,5,4,3,8,7,2,1,12,11]
[1,1,1,1,0,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [12,9,6,5,4,3,8,7,2,11,10,1]
[1,1,1,1,0,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [12,11,6,5,4,3,8,7,10,9,2,1]
[1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [12,11,6,5,4,3,10,9,8,7,2,1]
[1,1,1,1,0,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [10,9,8,5,4,7,6,3,2,1,12,11]
[1,1,1,1,0,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [12,9,8,5,4,7,6,3,2,11,10,1]
[1,1,1,1,0,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [12,11,8,5,4,7,6,3,10,9,2,1]
[1,1,1,1,0,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [12,11,10,5,4,7,6,9,8,3,2,1]
[1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [12,11,10,5,4,9,8,7,6,3,2,1]
[1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [10,9,8,7,6,5,4,3,2,1,12,11]
[1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [12,9,8,7,6,5,4,3,2,11,10,1]
[1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [12,11,8,7,6,5,4,3,10,9,2,1]
[1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [12,11,10,7,6,5,4,9,8,3,2,1]
[1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [12,11,10,9,6,5,8,7,4,3,2,1]
[1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [12,11,10,9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,14)] => [2,1,4,3,6,5,8,7,12,11,10,9,14,13]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(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]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,14)] => [2,1,4,3,6,5,10,9,8,7,12,11,14,13]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,14),(12,13)] => [2,1,4,3,6,5,10,9,8,7,14,13,12,11]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11),(13,14)] => [2,1,4,3,6,5,12,9,8,11,10,7,14,13]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,14),(8,9),(10,13),(11,12)] => [2,1,4,3,6,5,14,9,8,13,12,11,10,7]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10),(13,14)] => [2,1,4,3,6,5,12,11,10,9,8,7,14,13]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [(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]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [(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]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,14)] => [2,1,4,3,8,7,6,5,10,9,12,11,14,13]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,14),(12,13)] => [2,1,4,3,8,7,6,5,10,9,14,13,12,11]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11),(13,14)] => [2,1,4,3,8,7,6,5,12,11,10,9,14,13]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,14),(10,11),(12,13)] => [2,1,4,3,8,7,6,5,14,11,10,13,12,9]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,14),(10,13),(11,12)] => [2,1,4,3,8,7,6,5,14,13,12,11,10,9]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12),(13,14)] => [2,1,4,3,10,7,6,9,8,5,12,11,14,13]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,14),(12,13)] => [2,1,4,3,10,7,6,9,8,5,14,13,12,11]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11),(13,14)] => [2,1,4,3,12,7,6,9,8,11,10,5,14,13]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,14),(6,7),(8,9),(10,13),(11,12)] => [2,1,4,3,14,7,6,9,8,13,12,11,10,5]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10),(13,14)] => [2,1,4,3,12,7,6,11,10,9,8,5,14,13]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,14),(6,7),(8,11),(9,10),(12,13)] => [2,1,4,3,14,7,6,11,10,9,8,13,12,5]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,14),(6,7),(8,13),(9,10),(11,12)] => [2,1,4,3,14,7,6,13,10,9,12,11,8,5]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,14),(6,7),(8,13),(9,12),(10,11)] => [2,1,4,3,14,7,6,13,12,11,10,9,8,5]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14)] => [2,1,4,3,10,9,8,7,6,5,12,11,14,13]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,14),(12,13)] => [2,1,4,3,10,9,8,7,6,5,14,13,12,11]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11),(13,14)] => [2,1,4,3,12,9,8,7,6,11,10,5,14,13]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,4),(5,14),(6,9),(7,8),(10,13),(11,12)] => [2,1,4,3,14,9,8,7,6,13,12,11,10,5]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10),(13,14)] => [2,1,4,3,12,11,8,7,10,9,6,5,14,13]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [(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]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [(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]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [(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]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9),(13,14)] => [2,1,4,3,12,11,10,9,8,7,6,5,14,13]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [(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]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,4),(5,14),(6,13),(7,10),(8,9),(11,12)] => [2,1,4,3,14,13,10,9,8,7,12,11,6,5]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [(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]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10)] => [2,1,4,3,14,13,12,11,10,9,8,7,6,5]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14)] => [2,1,6,5,4,3,8,7,10,9,12,11,14,13]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,14),(12,13)] => [2,1,6,5,4,3,8,7,10,9,14,13,12,11]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11),(13,14)] => [2,1,6,5,4,3,8,7,12,11,10,9,14,13]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,14),(10,11),(12,13)] => [2,1,6,5,4,3,8,7,14,11,10,13,12,9]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,14),(10,13),(11,12)] => [2,1,6,5,4,3,8,7,14,13,12,11,10,9]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,14)] => [2,1,6,5,4,3,10,9,8,7,12,11,14,13]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,14),(12,13)] => [2,1,6,5,4,3,10,9,8,7,14,13,12,11]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11),(13,14)] => [2,1,6,5,4,3,12,9,8,11,10,7,14,13]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,9),(10,11),(12,13)] => [2,1,6,5,4,3,14,9,8,11,10,13,12,7]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,9),(10,13),(11,12)] => [2,1,6,5,4,3,14,9,8,13,12,11,10,7]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10),(13,14)] => [2,1,6,5,4,3,12,11,10,9,8,7,14,13]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,11),(9,10),(12,13)] => [2,1,6,5,4,3,14,11,10,9,8,13,12,7]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,13),(9,10),(11,12)] => [2,1,6,5,4,3,14,13,10,9,12,11,8,7]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [(1,2),(3,6),(4,5),(7,14),(8,13),(9,12),(10,11)] => [2,1,6,5,4,3,14,13,12,11,10,9,8,7]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12),(13,14)] => [2,1,8,5,4,7,6,3,10,9,12,11,14,13]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,14),(12,13)] => [2,1,8,5,4,7,6,3,10,9,14,13,12,11]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11),(13,14)] => [2,1,8,5,4,7,6,3,12,11,10,9,14,13]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,14),(10,11),(12,13)] => [2,1,8,5,4,7,6,3,14,11,10,13,12,9]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,14),(10,13),(11,12)] => [2,1,8,5,4,7,6,3,14,13,12,11,10,9]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12),(13,14)] => [2,1,10,5,4,7,6,9,8,3,12,11,14,13]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,14),(12,13)] => [2,1,10,5,4,7,6,9,8,3,14,13,12,11]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11),(13,14)] => [2,1,12,5,4,7,6,9,8,11,10,3,14,13]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,14),(4,5),(6,7),(8,9),(10,13),(11,12)] => [2,1,14,5,4,7,6,9,8,13,12,11,10,3]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10),(13,14)] => [2,1,12,5,4,7,6,11,10,9,8,3,14,13]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [(1,2),(3,14),(4,5),(6,7),(8,11),(9,10),(12,13)] => [2,1,14,5,4,7,6,11,10,9,8,13,12,3]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [(1,2),(3,14),(4,5),(6,7),(8,13),(9,10),(11,12)] => [2,1,14,5,4,7,6,13,10,9,12,11,8,3]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [(1,2),(3,14),(4,5),(6,7),(8,13),(9,12),(10,11)] => [2,1,14,5,4,7,6,13,12,11,10,9,8,3]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12),(13,14)] => [2,1,10,5,4,9,8,7,6,3,12,11,14,13]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,14),(12,13)] => [2,1,10,5,4,9,8,7,6,3,14,13,12,11]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11),(13,14)] => [2,1,12,5,4,9,8,7,6,11,10,3,14,13]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [(1,2),(3,14),(4,5),(6,9),(7,8),(10,11),(12,13)] => [2,1,14,5,4,9,8,7,6,11,10,13,12,3]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [(1,2),(3,14),(4,5),(6,9),(7,8),(10,13),(11,12)] => [2,1,14,5,4,9,8,7,6,13,12,11,10,3]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10),(13,14)] => [2,1,12,5,4,11,8,7,10,9,6,3,14,13]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [(1,2),(3,14),(4,5),(6,11),(7,8),(9,10),(12,13)] => [2,1,14,5,4,11,8,7,10,9,6,13,12,3]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [(1,2),(3,14),(4,5),(6,13),(7,8),(9,10),(11,12)] => [2,1,14,5,4,13,8,7,10,9,12,11,6,3]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [(1,2),(3,14),(4,5),(6,13),(7,8),(9,12),(10,11)] => [2,1,14,5,4,13,8,7,12,11,10,9,6,3]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9),(13,14)] => [2,1,12,5,4,11,10,9,8,7,6,3,14,13]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [(1,2),(3,14),(4,5),(6,11),(7,10),(8,9),(12,13)] => [2,1,14,5,4,11,10,9,8,7,6,13,12,3]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [(1,2),(3,14),(4,5),(6,13),(7,10),(8,9),(11,12)] => [2,1,14,5,4,13,10,9,8,7,12,11,6,3]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [(1,2),(3,14),(4,5),(6,13),(7,12),(8,9),(10,11)] => [2,1,14,5,4,13,12,9,8,11,10,7,6,3]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [(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]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14)] => [2,1,8,7,6,5,4,3,10,9,12,11,14,13]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,14),(12,13)] => [2,1,8,7,6,5,4,3,10,9,14,13,12,11]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11),(13,14)] => [2,1,8,7,6,5,4,3,12,11,10,9,14,13]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,14),(10,11),(12,13)] => [2,1,8,7,6,5,4,3,14,11,10,13,12,9]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,14),(10,13),(11,12)] => [2,1,8,7,6,5,4,3,14,13,12,11,10,9]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12),(13,14)] => [2,1,10,7,6,5,4,9,8,3,12,11,14,13]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,14),(12,13)] => [2,1,10,7,6,5,4,9,8,3,14,13,12,11]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11),(13,14)] => [2,1,12,7,6,5,4,9,8,11,10,3,14,13]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [(1,2),(3,14),(4,7),(5,6),(8,9),(10,13),(11,12)] => [2,1,14,7,6,5,4,9,8,13,12,11,10,3]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10),(13,14)] => [2,1,12,7,6,5,4,11,10,9,8,3,14,13]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [(1,2),(3,14),(4,7),(5,6),(8,11),(9,10),(12,13)] => [2,1,14,7,6,5,4,11,10,9,8,13,12,3]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [(1,2),(3,14),(4,7),(5,6),(8,13),(9,10),(11,12)] => [2,1,14,7,6,5,4,13,10,9,12,11,8,3]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [(1,2),(3,14),(4,7),(5,6),(8,13),(9,12),(10,11)] => [2,1,14,7,6,5,4,13,12,11,10,9,8,3]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12),(13,14)] => [2,1,10,9,6,5,8,7,4,3,12,11,14,13]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,14),(12,13)] => [2,1,10,9,6,5,8,7,4,3,14,13,12,11]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11),(13,14)] => [2,1,12,9,6,5,8,7,4,11,10,3,14,13]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [(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]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [(1,2),(3,14),(4,9),(5,6),(7,8),(10,13),(11,12)] => [2,1,14,9,6,5,8,7,4,13,12,11,10,3]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10),(13,14)] => [2,1,12,11,6,5,8,7,10,9,4,3,14,13]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [(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]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,10),(11,12)] => [2,1,14,13,6,5,8,7,10,9,12,11,4,3]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,12),(10,11)] => [2,1,14,13,6,5,8,7,12,11,10,9,4,3]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9),(13,14)] => [2,1,12,11,6,5,10,9,8,7,4,3,14,13]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [(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]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [(1,2),(3,14),(4,13),(5,6),(7,10),(8,9),(11,12)] => [2,1,14,13,6,5,10,9,8,7,12,11,4,3]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [(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]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12),(13,14)] => [2,1,10,9,8,7,6,5,4,3,12,11,14,13]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,14),(12,13)] => [2,1,10,9,8,7,6,5,4,3,14,13,12,11]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11),(13,14)] => [2,1,12,9,8,7,6,5,4,11,10,3,14,13]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [(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]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [(1,2),(3,14),(4,9),(5,8),(6,7),(10,13),(11,12)] => [2,1,14,9,8,7,6,5,4,13,12,11,10,3]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10),(13,14)] => [2,1,12,11,8,7,6,5,10,9,4,3,14,13]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [(1,2),(3,14),(4,11),(5,8),(6,7),(9,10),(12,13)] => [2,1,14,11,8,7,6,5,10,9,4,13,12,3]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [(1,2),(3,14),(4,13),(5,8),(6,7),(9,10),(11,12)] => [2,1,14,13,8,7,6,5,10,9,12,11,4,3]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [(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]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9),(13,14)] => [2,1,12,11,10,7,6,9,8,5,4,3,14,13]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [(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]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [(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]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(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]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14)] => [2,1,12,11,10,9,8,7,6,5,4,3,14,13]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [(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]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [(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]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(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]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14)] => [4,3,2,1,6,5,8,7,10,9,12,11,14,13]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,14),(12,13)] => [4,3,2,1,6,5,8,7,10,9,14,13,12,11]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,14)] => [4,3,2,1,6,5,8,7,12,11,10,9,14,13]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,14),(10,11),(12,13)] => [4,3,2,1,6,5,8,7,14,11,10,13,12,9]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,14),(10,13),(11,12)] => [4,3,2,1,6,5,8,7,14,13,12,11,10,9]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12),(13,14)] => [4,3,2,1,6,5,10,9,8,7,12,11,14,13]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,14),(12,13)] => [4,3,2,1,6,5,10,9,8,7,14,13,12,11]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11),(13,14)] => [4,3,2,1,6,5,12,9,8,11,10,7,14,13]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,9),(10,11),(12,13)] => [4,3,2,1,6,5,14,9,8,11,10,13,12,7]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,9),(10,13),(11,12)] => [4,3,2,1,6,5,14,9,8,13,12,11,10,7]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10),(13,14)] => [4,3,2,1,6,5,12,11,10,9,8,7,14,13]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,11),(9,10),(12,13)] => [4,3,2,1,6,5,14,11,10,9,8,13,12,7]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,13),(9,10),(11,12)] => [4,3,2,1,6,5,14,13,10,9,12,11,8,7]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,6),(7,14),(8,13),(9,12),(10,11)] => [4,3,2,1,6,5,14,13,12,11,10,9,8,7]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12),(13,14)] => [4,3,2,1,8,7,6,5,10,9,12,11,14,13]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,14),(12,13)] => [4,3,2,1,8,7,6,5,10,9,14,13,12,11]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11),(13,14)] => [4,3,2,1,8,7,6,5,12,11,10,9,14,13]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,14),(10,11),(12,13)] => [4,3,2,1,8,7,6,5,14,11,10,13,12,9]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,14),(10,13),(11,12)] => [4,3,2,1,8,7,6,5,14,13,12,11,10,9]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12),(13,14)] => [4,3,2,1,10,7,6,9,8,5,12,11,14,13]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,14),(12,13)] => [4,3,2,1,10,7,6,9,8,5,14,13,12,11]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11),(13,14)] => [4,3,2,1,12,7,6,9,8,11,10,5,14,13]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,14),(6,7),(8,9),(10,11),(12,13)] => [4,3,2,1,14,7,6,9,8,11,10,13,12,5]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,14),(6,7),(8,9),(10,13),(11,12)] => [4,3,2,1,14,7,6,9,8,13,12,11,10,5]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10),(13,14)] => [4,3,2,1,12,7,6,11,10,9,8,5,14,13]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,14),(6,7),(8,11),(9,10),(12,13)] => [4,3,2,1,14,7,6,11,10,9,8,13,12,5]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,14),(6,7),(8,13),(9,12),(10,11)] => [4,3,2,1,14,7,6,13,12,11,10,9,8,5]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,14)] => [4,3,2,1,10,9,8,7,6,5,12,11,14,13]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,14),(12,13)] => [4,3,2,1,10,9,8,7,6,5,14,13,12,11]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11),(13,14)] => [4,3,2,1,12,9,8,7,6,11,10,5,14,13]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [(1,4),(2,3),(5,14),(6,9),(7,8),(10,11),(12,13)] => [4,3,2,1,14,9,8,7,6,11,10,13,12,5]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [(1,4),(2,3),(5,14),(6,9),(7,8),(10,13),(11,12)] => [4,3,2,1,14,9,8,7,6,13,12,11,10,5]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10),(13,14)] => [4,3,2,1,12,11,8,7,10,9,6,5,14,13]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [(1,4),(2,3),(5,14),(6,11),(7,8),(9,10),(12,13)] => [4,3,2,1,14,11,8,7,10,9,6,13,12,5]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,14),(6,13),(7,8),(9,10),(11,12)] => [4,3,2,1,14,13,8,7,10,9,12,11,6,5]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [(1,4),(2,3),(5,14),(6,13),(7,8),(9,12),(10,11)] => [4,3,2,1,14,13,8,7,12,11,10,9,6,5]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9),(13,14)] => [4,3,2,1,12,11,10,9,8,7,6,5,14,13]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [(1,4),(2,3),(5,14),(6,11),(7,10),(8,9),(12,13)] => [4,3,2,1,14,11,10,9,8,7,6,13,12,5]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [(1,4),(2,3),(5,14),(6,13),(7,10),(8,9),(11,12)] => [4,3,2,1,14,13,10,9,8,7,12,11,6,5]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,14),(6,13),(7,12),(8,9),(10,11)] => [4,3,2,1,14,13,12,9,8,11,10,7,6,5]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [(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]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14)] => [6,3,2,5,4,1,8,7,10,9,12,11,14,13]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,14),(12,13)] => [6,3,2,5,4,1,8,7,10,9,14,13,12,11]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11),(13,14)] => [6,3,2,5,4,1,8,7,12,11,10,9,14,13]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,14),(10,11),(12,13)] => [6,3,2,5,4,1,8,7,14,11,10,13,12,9]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,14),(10,13),(11,12)] => [6,3,2,5,4,1,8,7,14,13,12,11,10,9]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12),(13,14)] => [6,3,2,5,4,1,10,9,8,7,12,11,14,13]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,14),(12,13)] => [6,3,2,5,4,1,10,9,8,7,14,13,12,11]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11),(13,14)] => [6,3,2,5,4,1,12,9,8,11,10,7,14,13]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,9),(10,11),(12,13)] => [6,3,2,5,4,1,14,9,8,11,10,13,12,7]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,9),(10,13),(11,12)] => [6,3,2,5,4,1,14,9,8,13,12,11,10,7]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10),(13,14)] => [6,3,2,5,4,1,12,11,10,9,8,7,14,13]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,11),(9,10),(12,13)] => [6,3,2,5,4,1,14,11,10,9,8,13,12,7]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,13),(9,10),(11,12)] => [6,3,2,5,4,1,14,13,10,9,12,11,8,7]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,6),(2,3),(4,5),(7,14),(8,13),(9,12),(10,11)] => [6,3,2,5,4,1,14,13,12,11,10,9,8,7]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12),(13,14)] => [8,3,2,5,4,7,6,1,10,9,12,11,14,13]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,14),(12,13)] => [8,3,2,5,4,7,6,1,10,9,14,13,12,11]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11),(13,14)] => [8,3,2,5,4,7,6,1,12,11,10,9,14,13]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,14),(10,11),(12,13)] => [8,3,2,5,4,7,6,1,14,11,10,13,12,9]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,14),(10,13),(11,12)] => [8,3,2,5,4,7,6,1,14,13,12,11,10,9]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14)] => [10,3,2,5,4,7,6,9,8,1,12,11,14,13]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,14),(12,13)] => [10,3,2,5,4,7,6,9,8,1,14,13,12,11]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,14)] => [12,3,2,5,4,7,6,9,8,11,10,1,14,13]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(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]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10),(13,14)] => [12,3,2,5,4,7,6,11,10,9,8,1,14,13]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [(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]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [(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]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [(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]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12),(13,14)] => [10,3,2,5,4,9,8,7,6,1,12,11,14,13]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,14),(12,13)] => [10,3,2,5,4,9,8,7,6,1,14,13,12,11]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11),(13,14)] => [12,3,2,5,4,9,8,7,6,11,10,1,14,13]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [(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]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [(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]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10),(13,14)] => [12,3,2,5,4,11,8,7,10,9,6,1,14,13]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [(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]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [(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]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [(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]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9),(13,14)] => [12,3,2,5,4,11,10,9,8,7,6,1,14,13]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [(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]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [(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]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [(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]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [(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]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12),(13,14)] => [8,3,2,7,6,5,4,1,10,9,12,11,14,13]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,14),(12,13)] => [8,3,2,7,6,5,4,1,10,9,14,13,12,11]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11),(13,14)] => [8,3,2,7,6,5,4,1,12,11,10,9,14,13]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,14),(10,11),(12,13)] => [8,3,2,7,6,5,4,1,14,11,10,13,12,9]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,14),(10,13),(11,12)] => [8,3,2,7,6,5,4,1,14,13,12,11,10,9]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12),(13,14)] => [10,3,2,7,6,5,4,9,8,1,12,11,14,13]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,14),(12,13)] => [10,3,2,7,6,5,4,9,8,1,14,13,12,11]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11),(13,14)] => [12,3,2,7,6,5,4,9,8,11,10,1,14,13]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [(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]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [(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]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10),(13,14)] => [12,3,2,7,6,5,4,11,10,9,8,1,14,13]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [(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]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [(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]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [(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]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12),(13,14)] => [10,3,2,9,6,5,8,7,4,1,12,11,14,13]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,14),(12,13)] => [10,3,2,9,6,5,8,7,4,1,14,13,12,11]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11),(13,14)] => [12,3,2,9,6,5,8,7,4,11,10,1,14,13]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [(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]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [(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]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10),(13,14)] => [12,3,2,11,6,5,8,7,10,9,4,1,14,13]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [(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]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [(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]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [(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]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9),(13,14)] => [12,3,2,11,6,5,10,9,8,7,4,1,14,13]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [(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]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [(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]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [(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]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [(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]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12),(13,14)] => [10,3,2,9,8,7,6,5,4,1,12,11,14,13]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,14),(12,13)] => [10,3,2,9,8,7,6,5,4,1,14,13,12,11]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11),(13,14)] => [12,3,2,9,8,7,6,5,4,11,10,1,14,13]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [(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]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [(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]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10),(13,14)] => [12,3,2,11,8,7,6,5,10,9,4,1,14,13]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [(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]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [(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]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [(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]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9),(13,14)] => [12,3,2,11,10,7,6,9,8,5,4,1,14,13]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [(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]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [(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]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [(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]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [(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]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [(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]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [(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]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [(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]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [(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]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [(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]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [(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]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14)] => [6,5,4,3,2,1,8,7,10,9,12,11,14,13]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,14),(12,13)] => [6,5,4,3,2,1,8,7,10,9,14,13,12,11]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11),(13,14)] => [6,5,4,3,2,1,8,7,12,11,10,9,14,13]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,14),(10,11),(12,13)] => [6,5,4,3,2,1,8,7,14,11,10,13,12,9]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,14),(10,13),(11,12)] => [6,5,4,3,2,1,8,7,14,13,12,11,10,9]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12),(13,14)] => [6,5,4,3,2,1,10,9,8,7,12,11,14,13]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,14),(12,13)] => [6,5,4,3,2,1,10,9,8,7,14,13,12,11]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11),(13,14)] => [6,5,4,3,2,1,12,9,8,11,10,7,14,13]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,9),(10,11),(12,13)] => [6,5,4,3,2,1,14,9,8,11,10,13,12,7]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,9),(10,13),(11,12)] => [6,5,4,3,2,1,14,9,8,13,12,11,10,7]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10),(13,14)] => [6,5,4,3,2,1,12,11,10,9,8,7,14,13]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,11),(9,10),(12,13)] => [6,5,4,3,2,1,14,11,10,9,8,13,12,7]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,13),(9,10),(11,12)] => [6,5,4,3,2,1,14,13,10,9,12,11,8,7]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [(1,6),(2,5),(3,4),(7,14),(8,13),(9,12),(10,11)] => [6,5,4,3,2,1,14,13,12,11,10,9,8,7]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12),(13,14)] => [8,5,4,3,2,7,6,1,10,9,12,11,14,13]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,14),(12,13)] => [8,5,4,3,2,7,6,1,10,9,14,13,12,11]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11),(13,14)] => [8,5,4,3,2,7,6,1,12,11,10,9,14,13]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,14),(10,11),(12,13)] => [8,5,4,3,2,7,6,1,14,11,10,13,12,9]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,14),(10,13),(11,12)] => [8,5,4,3,2,7,6,1,14,13,12,11,10,9]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12),(13,14)] => [10,5,4,3,2,7,6,9,8,1,12,11,14,13]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,14),(12,13)] => [10,5,4,3,2,7,6,9,8,1,14,13,12,11]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11),(13,14)] => [12,5,4,3,2,7,6,9,8,11,10,1,14,13]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [(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]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10),(13,14)] => [12,5,4,3,2,7,6,11,10,9,8,1,14,13]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [(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]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [(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]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [(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]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12),(13,14)] => [10,5,4,3,2,9,8,7,6,1,12,11,14,13]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,14),(12,13)] => [10,5,4,3,2,9,8,7,6,1,14,13,12,11]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11),(13,14)] => [12,5,4,3,2,9,8,7,6,11,10,1,14,13]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [(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]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [(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]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10),(13,14)] => [12,5,4,3,2,11,8,7,10,9,6,1,14,13]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [(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]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [(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]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [(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]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9),(13,14)] => [12,5,4,3,2,11,10,9,8,7,6,1,14,13]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [(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]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [(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]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [(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]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [(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]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12),(13,14)] => [8,7,4,3,6,5,2,1,10,9,12,11,14,13]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,14),(12,13)] => [8,7,4,3,6,5,2,1,10,9,14,13,12,11]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11),(13,14)] => [8,7,4,3,6,5,2,1,12,11,10,9,14,13]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,14),(10,11),(12,13)] => [8,7,4,3,6,5,2,1,14,11,10,13,12,9]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,14),(10,13),(11,12)] => [8,7,4,3,6,5,2,1,14,13,12,11,10,9]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12),(13,14)] => [10,7,4,3,6,5,2,9,8,1,12,11,14,13]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,14),(12,13)] => [10,7,4,3,6,5,2,9,8,1,14,13,12,11]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11),(13,14)] => [12,7,4,3,6,5,2,9,8,11,10,1,14,13]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [(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]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [(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]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10),(13,14)] => [12,7,4,3,6,5,2,11,10,9,8,1,14,13]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [(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]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [(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]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [(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]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12),(13,14)] => [10,9,4,3,6,5,8,7,2,1,12,11,14,13]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,14),(12,13)] => [10,9,4,3,6,5,8,7,2,1,14,13,12,11]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11),(13,14)] => [12,9,4,3,6,5,8,7,2,11,10,1,14,13]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [(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]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [(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]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10),(13,14)] => [12,11,4,3,6,5,8,7,10,9,2,1,14,13]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [(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]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [(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]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [(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]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9),(13,14)] => [12,11,4,3,6,5,10,9,8,7,2,1,14,13]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [(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]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [(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]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [(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]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [(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]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12),(13,14)] => [10,9,4,3,8,7,6,5,2,1,12,11,14,13]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,14),(12,13)] => [10,9,4,3,8,7,6,5,2,1,14,13,12,11]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11),(13,14)] => [12,9,4,3,8,7,6,5,2,11,10,1,14,13]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [(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]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [(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]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10),(13,14)] => [12,11,4,3,8,7,6,5,10,9,2,1,14,13]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [(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]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [(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]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [(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]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [(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]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [(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]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [(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]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [(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]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [(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]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [(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]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [(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]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [(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]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [(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]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [(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]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [(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]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14)] => [8,7,6,5,4,3,2,1,10,9,12,11,14,13]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,14),(12,13)] => [8,7,6,5,4,3,2,1,10,9,14,13,12,11]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11),(13,14)] => [8,7,6,5,4,3,2,1,12,11,10,9,14,13]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,14),(10,11),(12,13)] => [8,7,6,5,4,3,2,1,14,11,10,13,12,9]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,14),(10,13),(11,12)] => [8,7,6,5,4,3,2,1,14,13,12,11,10,9]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12),(13,14)] => [10,7,6,5,4,3,2,9,8,1,12,11,14,13]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,14),(12,13)] => [10,7,6,5,4,3,2,9,8,1,14,13,12,11]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11),(13,14)] => [12,7,6,5,4,3,2,9,8,11,10,1,14,13]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [(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]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [(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]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10),(13,14)] => [12,7,6,5,4,3,2,11,10,9,8,1,14,13]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [(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]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [(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]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [(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]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12),(13,14)] => [10,9,6,5,4,3,8,7,2,1,12,11,14,13]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,14),(12,13)] => [10,9,6,5,4,3,8,7,2,1,14,13,12,11]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11),(13,14)] => [12,9,6,5,4,3,8,7,2,11,10,1,14,13]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [(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]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [(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]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10),(13,14)] => [12,11,6,5,4,3,8,7,10,9,2,1,14,13]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [(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]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [(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]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [(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]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [(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]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [(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]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [(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]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [(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]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [(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]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12),(13,14)] => [10,9,8,5,4,7,6,3,2,1,12,11,14,13]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,14),(12,13)] => [10,9,8,5,4,7,6,3,2,1,14,13,12,11]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11),(13,14)] => [12,9,8,5,4,7,6,3,2,11,10,1,14,13]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [(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]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [(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]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [(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]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [(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]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [(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]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [(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]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [(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]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [(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]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [(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]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(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]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [(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]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [(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]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [(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]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [(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]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [(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]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [(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]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14)] => [10,9,8,7,6,5,4,3,2,1,12,11,14,13]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [(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]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [(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]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [(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]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [(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]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [(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]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [(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]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [(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]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [(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]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [(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]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [(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]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [(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]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [(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]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [(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]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [(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]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [(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]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [(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]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [(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]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [(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]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [(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]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [(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]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [(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]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [(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]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,14),(15,16)] => [2,1,4,3,6,5,8,7,12,11,10,9,14,13,16,15]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,16),(14,15)] => [2,1,4,3,6,5,8,7,12,11,10,9,16,15,14,13]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13),(15,16)] => [2,1,4,3,6,5,8,7,14,11,10,13,12,9,16,15]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,15),(13,14)] => [2,1,4,3,6,5,8,7,16,11,10,15,14,13,12,9]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12),(15,16)] => [2,1,4,3,6,5,8,7,14,13,12,11,10,9,16,15]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [(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]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,16),(14,15)] => [2,1,4,3,6,5,10,9,8,7,12,11,16,15,14,13]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,15),(9,14),(10,13),(11,12)] => [2,1,4,3,6,5,16,15,14,13,12,11,10,9,8,7]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,16),(14,15)] => [2,1,4,3,8,7,6,5,10,9,12,11,16,15,14,13]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,16),(12,13),(14,15)] => [2,1,4,3,8,7,6,5,10,9,16,13,12,15,14,11]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,16),(10,11),(12,13),(14,15)] => [2,1,4,3,8,7,6,5,16,11,10,13,12,15,14,9]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,15),(13,14)] => [2,1,4,3,16,7,6,9,8,11,10,15,14,13,12,5]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14),(15,16)] => [2,1,4,3,10,9,8,7,6,5,12,11,14,13,16,15]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,13),(7,8),(9,10),(11,12),(14,15)] => [2,1,4,3,16,13,8,7,10,9,12,11,6,15,14,5]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,9),(10,11),(12,13)] => [2,1,4,3,16,15,14,9,8,11,10,13,12,7,6,5]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)] => [2,1,4,3,14,13,12,11,10,9,8,7,6,5,16,15]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => [2,1,4,3,16,15,14,11,10,9,8,13,12,7,6,5]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => [2,1,4,3,16,15,14,13,10,9,12,11,8,7,6,5]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => [2,1,4,3,16,15,14,13,12,11,10,9,8,7,6,5]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,16),(14,15)] => [2,1,6,5,4,3,8,7,10,9,12,11,16,15,14,13]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,16),(12,13),(14,15)] => [2,1,6,5,4,3,8,7,10,9,16,13,12,15,14,11]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12),(13,16),(14,15)] => [2,1,8,5,4,7,6,3,10,9,12,11,16,15,14,13]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,16),(12,13),(14,15)] => [2,1,8,5,4,7,6,3,10,9,16,13,12,15,14,11]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,16),(10,15),(11,14),(12,13)] => [2,1,8,5,4,7,6,3,16,15,14,13,12,11,10,9]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14)] => [2,1,16,5,4,7,6,9,8,11,10,15,14,13,12,3]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14),(15,16)] => [2,1,8,7,6,5,4,3,10,9,12,11,14,13,16,15]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,16),(12,13),(14,15)] => [2,1,8,7,6,5,4,3,10,9,16,13,12,15,14,11]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12),(13,14),(15,16)] => [2,1,10,9,6,5,8,7,4,3,12,11,14,13,16,15]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,16),(12,15),(13,14)] => [2,1,10,9,6,5,8,7,4,3,16,15,14,13,12,11]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13),(15,16)] => [2,1,14,9,6,5,8,7,4,11,10,13,12,3,16,15]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10),(13,14),(15,16)] => [2,1,12,11,6,5,8,7,10,9,4,3,14,13,16,15]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,10),(11,12),(15,16)] => [2,1,14,13,6,5,8,7,10,9,12,11,4,3,16,15]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,6),(7,8),(9,10),(11,12),(14,15)] => [2,1,16,13,6,5,8,7,10,9,12,11,4,15,14,3]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,8),(9,10),(11,12),(13,14)] => [2,1,16,15,6,5,8,7,10,9,12,11,14,13,4,3]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,8),(6,7),(9,10),(11,12),(13,14)] => [2,1,16,15,8,7,6,5,10,9,12,11,14,13,4,3]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9),(13,16),(14,15)] => [2,1,12,11,10,7,6,9,8,5,4,3,16,15,14,13]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,10),(6,7),(8,9),(11,12),(13,14)] => [2,1,16,15,10,7,6,9,8,5,12,11,14,13,4,3]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,12),(6,7),(8,9),(10,11),(14,15)] => [2,1,16,13,12,7,6,9,8,11,10,5,4,15,14,3]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,7),(8,9),(10,11),(12,13)] => [2,1,16,15,14,7,6,9,8,11,10,13,12,5,4,3]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14),(15,16)] => [2,1,12,11,10,9,8,7,6,5,4,3,14,13,16,15]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,16),(14,15)] => [2,1,12,11,10,9,8,7,6,5,4,3,16,15,14,13]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,10),(6,9),(7,8),(11,12),(13,14)] => [2,1,16,15,10,9,8,7,6,5,12,11,14,13,4,3]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,9),(7,8),(10,11),(12,13)] => [2,1,16,15,14,9,8,7,6,11,10,13,12,5,4,3]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(15,16)] => [2,1,14,13,12,11,8,7,10,9,6,5,4,3,16,15]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,11),(7,8),(9,10),(12,13)] => [2,1,16,15,14,11,8,7,10,9,6,13,12,5,4,3]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(15,16)] => [2,1,14,13,12,11,10,9,8,7,6,5,4,3,16,15]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(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]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [4,3,2,1,6,5,8,7,10,9,12,11,14,13,16,15]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)] => [4,3,2,1,6,5,8,7,10,9,12,11,16,15,14,13]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,14),(12,13),(15,16)] => [4,3,2,1,6,5,8,7,10,9,14,13,12,11,16,15]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)] => [4,3,2,1,6,5,8,7,10,9,16,13,12,15,14,11]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)] => [4,3,2,1,6,5,8,7,10,9,16,15,14,13,12,11]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,14),(15,16)] => [4,3,2,1,6,5,8,7,12,11,10,9,14,13,16,15]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)] => [4,3,2,1,6,5,8,7,16,11,10,13,12,15,14,9]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)] => [4,3,2,1,6,5,16,9,8,11,10,13,12,15,14,7]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,10),(11,12),(13,14)] => [4,3,2,1,6,5,16,15,10,9,12,11,14,13,8,7]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,14),(10,11),(12,13)] => [4,3,2,1,6,5,16,15,14,11,10,13,12,9,8,7]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,14),(10,13),(11,12)] => [4,3,2,1,6,5,16,15,14,13,12,11,10,9,8,7]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)] => [4,3,2,1,16,7,6,9,8,11,10,13,12,15,14,5]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,9),(10,15),(11,14),(12,13)] => [4,3,2,1,16,7,6,9,8,15,14,13,12,11,10,5]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,15),(9,14),(10,13),(11,12)] => [4,3,2,1,16,7,6,15,14,13,12,11,10,9,8,5]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,14),(15,16)] => [4,3,2,1,10,9,8,7,6,5,12,11,14,13,16,15]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)] => [4,3,2,1,16,9,8,7,6,11,10,13,12,15,14,5]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,8),(9,10),(11,12),(13,14)] => [4,3,2,1,16,15,8,7,10,9,12,11,14,13,6,5]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,9),(10,11),(12,13)] => [4,3,2,1,16,15,14,9,8,11,10,13,12,7,6,5]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)] => [4,3,2,1,14,13,12,11,10,9,8,7,6,5,16,15]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,13),(7,12),(8,11),(9,10),(14,15)] => [4,3,2,1,16,13,12,11,10,9,8,7,6,15,14,5]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => [4,3,2,1,16,15,14,13,10,9,12,11,8,7,6,5]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => [4,3,2,1,16,15,14,13,12,11,10,9,8,7,6,5]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14),(15,16)] => [6,3,2,5,4,1,8,7,10,9,12,11,14,13,16,15]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,16),(14,15)] => [6,3,2,5,4,1,8,7,10,9,12,11,16,15,14,13]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,16),(12,13),(14,15)] => [6,3,2,5,4,1,8,7,10,9,16,13,12,15,14,11]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,16),(10,15),(11,14),(12,13)] => [6,3,2,5,4,1,8,7,16,15,14,13,12,11,10,9]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,6),(2,3),(4,5),(7,16),(8,15),(9,14),(10,11),(12,13)] => [6,3,2,5,4,1,16,15,14,11,10,13,12,9,8,7]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,6),(2,3),(4,5),(7,16),(8,15),(9,14),(10,13),(11,12)] => [6,3,2,5,4,1,16,15,14,13,12,11,10,9,8,7]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12),(13,14),(15,16)] => [8,3,2,5,4,7,6,1,10,9,12,11,14,13,16,15]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,16),(12,15),(13,14)] => [8,3,2,5,4,7,6,1,10,9,16,15,14,13,12,11]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,16),(10,15),(11,14),(12,13)] => [8,3,2,5,4,7,6,1,16,15,14,13,12,11,10,9]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16)] => [10,3,2,5,4,7,6,9,8,1,12,11,14,13,16,15]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,16),(14,15)] => [10,3,2,5,4,7,6,9,8,1,12,11,16,15,14,13]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,16),(12,15),(13,14)] => [10,3,2,5,4,7,6,9,8,1,16,15,14,13,12,11]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,14),(15,16)] => [12,3,2,5,4,7,6,9,8,11,10,1,14,13,16,15]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,16),(14,15)] => [12,3,2,5,4,7,6,9,8,11,10,1,16,15,14,13]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(15,16)] => [14,3,2,5,4,7,6,9,8,11,10,13,12,1,16,15]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14)] => [16,3,2,5,4,7,6,9,8,11,10,15,14,13,12,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12),(15,16)] => [14,3,2,5,4,7,6,9,8,13,12,11,10,1,16,15]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12),(14,15)] => [16,3,2,5,4,7,6,9,8,13,12,11,10,15,14,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,15),(11,12),(13,14)] => [16,3,2,5,4,7,6,9,8,15,12,11,14,13,10,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,15),(11,14),(12,13)] => [16,3,2,5,4,7,6,9,8,15,14,13,12,11,10,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10),(13,14),(15,16)] => [12,3,2,5,4,7,6,11,10,9,8,1,14,13,16,15]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13),(14,15)] => [16,3,2,5,4,7,6,11,10,9,8,13,12,15,14,1]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,13),(9,10),(11,12),(15,16)] => [14,3,2,5,4,7,6,13,10,9,12,11,8,1,16,15]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,15),(9,10),(11,12),(13,14)] => [16,3,2,5,4,7,6,15,10,9,12,11,14,13,8,1]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,15),(9,10),(11,14),(12,13)] => [16,3,2,5,4,7,6,15,10,9,14,13,12,11,8,1]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,13),(9,12),(10,11),(15,16)] => [14,3,2,5,4,7,6,13,12,11,10,9,8,1,16,15]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,7),(8,15),(9,14),(10,11),(12,13)] => [16,3,2,5,4,7,6,15,14,11,10,13,12,9,8,1]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12),(13,14),(15,16)] => [10,3,2,5,4,9,8,7,6,1,12,11,14,13,16,15]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [(1,16),(2,3),(4,5),(6,9),(7,8),(10,11),(12,13),(14,15)] => [16,3,2,5,4,9,8,7,6,11,10,13,12,15,14,1]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10),(13,14),(15,16)] => [12,3,2,5,4,11,8,7,10,9,6,1,14,13,16,15]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,15),(7,8),(9,14),(10,11),(12,13)] => [16,3,2,5,4,15,8,7,14,11,10,13,12,9,6,1]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9),(13,14),(15,16)] => [12,3,2,5,4,11,10,9,8,7,6,1,14,13,16,15]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,5),(6,15),(7,14),(8,9),(10,11),(12,13)] => [16,3,2,5,4,15,14,9,8,11,10,13,12,7,6,1]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [(1,14),(2,3),(4,5),(6,13),(7,12),(8,11),(9,10),(15,16)] => [14,3,2,5,4,13,12,11,10,9,8,7,6,1,16,15]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12),(13,14),(15,16)] => [8,3,2,7,6,5,4,1,10,9,12,11,14,13,16,15]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,16),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)] => [16,3,2,7,6,5,4,9,8,11,10,13,12,15,14,1]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12),(13,14),(15,16)] => [10,3,2,9,6,5,8,7,4,1,12,11,14,13,16,15]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [(1,16),(2,3),(4,9),(5,6),(7,8),(10,11),(12,13),(14,15)] => [16,3,2,9,6,5,8,7,4,11,10,13,12,15,14,1]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10),(13,14),(15,16)] => [12,3,2,11,6,5,8,7,10,9,4,1,14,13,16,15]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,14),(2,3),(4,13),(5,6),(7,8),(9,10),(11,12),(15,16)] => [14,3,2,13,6,5,8,7,10,9,12,11,4,1,16,15]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,16),(2,3),(4,15),(5,6),(7,8),(9,10),(11,12),(13,14)] => [16,3,2,15,6,5,8,7,10,9,12,11,14,13,4,1]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [(1,16),(2,3),(4,15),(5,6),(7,8),(9,10),(11,14),(12,13)] => [16,3,2,15,6,5,8,7,10,9,14,13,12,11,4,1]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,15),(5,6),(7,14),(8,9),(10,11),(12,13)] => [16,3,2,15,6,5,14,9,8,11,10,13,12,7,4,1]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12),(13,14),(15,16)] => [10,3,2,9,8,7,6,5,4,1,12,11,14,13,16,15]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,7),(8,9),(10,11),(12,13)] => [16,3,2,15,14,7,6,9,8,11,10,13,12,5,4,1]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,16),(14,15)] => [12,3,2,11,10,9,8,7,6,5,4,1,16,15,14,13]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [(1,16),(2,3),(4,11),(5,10),(6,9),(7,8),(12,13),(14,15)] => [16,3,2,11,10,9,8,7,6,5,4,13,12,15,14,1]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [(1,16),(2,3),(4,11),(5,10),(6,9),(7,8),(12,15),(13,14)] => [16,3,2,11,10,9,8,7,6,5,4,15,14,13,12,1]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)] => [16,3,2,15,14,13,8,7,10,9,12,11,6,5,4,1]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [(1,14),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9),(15,16)] => [14,3,2,13,12,11,10,9,8,7,6,5,4,1,16,15]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [(1,16),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9),(14,15)] => [16,3,2,13,12,11,10,9,8,7,6,5,4,15,14,1]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)] => [16,3,2,15,14,13,10,9,8,7,12,11,6,5,4,1]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)] => [16,3,2,15,14,13,12,9,8,11,10,7,6,5,4,1]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)] => [16,3,2,15,14,13,12,11,10,9,8,7,6,5,4,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14),(15,16)] => [6,5,4,3,2,1,8,7,10,9,12,11,14,13,16,15]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,16),(14,15)] => [6,5,4,3,2,1,8,7,10,9,12,11,16,15,14,13]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,16),(12,13),(14,15)] => [6,5,4,3,2,1,8,7,10,9,16,13,12,15,14,11]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,16),(10,15),(11,12),(13,14)] => [6,5,4,3,2,1,8,7,16,15,12,11,14,13,10,9]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [(1,6),(2,5),(3,4),(7,16),(8,15),(9,10),(11,12),(13,14)] => [6,5,4,3,2,1,16,15,10,9,12,11,14,13,8,7]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [(1,6),(2,5),(3,4),(7,16),(8,15),(9,10),(11,14),(12,13)] => [6,5,4,3,2,1,16,15,10,9,14,13,12,11,8,7]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [(1,6),(2,5),(3,4),(7,14),(8,13),(9,12),(10,11),(15,16)] => [6,5,4,3,2,1,14,13,12,11,10,9,8,7,16,15]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,6),(2,5),(3,4),(7,16),(8,15),(9,14),(10,11),(12,13)] => [6,5,4,3,2,1,16,15,14,11,10,13,12,9,8,7]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,6),(2,5),(3,4),(7,16),(8,15),(9,14),(10,13),(11,12)] => [6,5,4,3,2,1,16,15,14,13,12,11,10,9,8,7]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12),(13,14),(15,16)] => [8,5,4,3,2,7,6,1,10,9,12,11,14,13,16,15]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,16),(10,15),(11,14),(12,13)] => [8,5,4,3,2,7,6,1,16,15,14,13,12,11,10,9]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12),(13,14),(15,16)] => [10,5,4,3,2,7,6,9,8,1,12,11,14,13,16,15]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11),(13,14),(15,16)] => [12,5,4,3,2,7,6,9,8,11,10,1,14,13,16,15]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,14),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(15,16)] => [14,5,4,3,2,7,6,9,8,11,10,13,12,1,16,15]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [(1,16),(2,5),(3,4),(6,9),(7,8),(10,11),(12,13),(14,15)] => [16,5,4,3,2,9,8,7,6,11,10,13,12,15,14,1]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [(1,16),(2,5),(3,4),(6,15),(7,8),(9,10),(11,12),(13,14)] => [16,5,4,3,2,15,8,7,10,9,12,11,14,13,6,1]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [(1,16),(2,5),(3,4),(6,15),(7,14),(8,13),(9,10),(11,12)] => [16,5,4,3,2,15,14,13,10,9,12,11,8,7,6,1]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12),(13,14),(15,16)] => [8,7,4,3,6,5,2,1,10,9,12,11,14,13,16,15]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,16),(10,15),(11,14),(12,13)] => [8,7,4,3,6,5,2,1,16,15,14,13,12,11,10,9]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [(1,14),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(15,16)] => [14,7,4,3,6,5,2,9,8,11,10,13,12,1,16,15]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12),(13,14),(15,16)] => [10,9,4,3,6,5,8,7,2,1,12,11,14,13,16,15]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12),(13,16),(14,15)] => [10,9,4,3,6,5,8,7,2,1,12,11,16,15,14,13]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11),(13,14),(15,16)] => [12,9,4,3,6,5,8,7,2,11,10,1,14,13,16,15]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11),(13,16),(14,15)] => [12,9,4,3,6,5,8,7,2,11,10,1,16,15,14,13]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [(1,14),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13),(15,16)] => [14,9,4,3,6,5,8,7,2,11,10,13,12,1,16,15]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [(1,16),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13),(14,15)] => [16,9,4,3,6,5,8,7,2,11,10,13,12,15,14,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10),(13,14),(15,16)] => [12,11,4,3,6,5,8,7,10,9,2,1,14,13,16,15]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10),(13,16),(14,15)] => [12,11,4,3,6,5,8,7,10,9,2,1,16,15,14,13]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [(1,16),(2,11),(3,4),(5,6),(7,8),(9,10),(12,15),(13,14)] => [16,11,4,3,6,5,8,7,10,9,2,15,14,13,12,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12),(15,16)] => [14,13,4,3,6,5,8,7,10,9,12,11,2,1,16,15]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,16),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12),(14,15)] => [16,13,4,3,6,5,8,7,10,9,12,11,2,15,14,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,16),(2,15),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)] => [16,15,4,3,6,5,8,7,10,9,12,11,14,13,2,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [(1,16),(2,15),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13)] => [16,15,4,3,6,5,8,7,10,9,14,13,12,11,2,1]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9),(13,16),(14,15)] => [12,11,4,3,6,5,10,9,8,7,2,1,16,15,14,13]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13)] => [16,15,4,3,14,7,6,9,8,11,10,13,12,5,2,1]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,7),(8,9),(10,13),(11,12)] => [16,15,4,3,14,7,6,9,8,13,12,11,10,5,2,1]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,16),(14,15)] => [12,11,4,3,10,9,8,7,6,5,2,1,16,15,14,13]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [(1,16),(2,15),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14)] => [16,15,4,3,10,9,8,7,6,5,12,11,14,13,2,1]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [(1,16),(2,15),(3,4),(5,10),(6,9),(7,8),(11,14),(12,13)] => [16,15,4,3,10,9,8,7,6,5,14,13,12,11,2,1]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11)] => [16,15,4,3,14,13,8,7,12,11,10,9,6,5,2,1]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [(1,16),(2,15),(3,4),(5,12),(6,11),(7,10),(8,9),(13,14)] => [16,15,4,3,12,11,10,9,8,7,6,5,14,13,2,1]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,13),(7,10),(8,9),(11,12)] => [16,15,4,3,14,13,10,9,8,7,12,11,6,5,2,1]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11)] => [16,15,4,3,14,13,12,9,8,11,10,7,6,5,2,1]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10)] => [16,15,4,3,14,13,12,11,10,9,8,7,6,5,2,1]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14),(15,16)] => [8,7,6,5,4,3,2,1,10,9,12,11,14,13,16,15]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,16),(12,13),(14,15)] => [8,7,6,5,4,3,2,1,10,9,16,13,12,15,14,11]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,16),(10,15),(11,12),(13,14)] => [8,7,6,5,4,3,2,1,16,15,12,11,14,13,10,9]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,16),(10,15),(11,14),(12,13)] => [8,7,6,5,4,3,2,1,16,15,14,13,12,11,10,9]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12),(13,14),(15,16)] => [10,7,6,5,4,3,2,9,8,1,12,11,14,13,16,15]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11),(13,14),(15,16)] => [12,7,6,5,4,3,2,9,8,11,10,1,14,13,16,15]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [(1,14),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13),(15,16)] => [14,7,6,5,4,3,2,9,8,11,10,13,12,1,16,15]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [(1,16),(2,7),(3,6),(4,5),(8,15),(9,14),(10,11),(12,13)] => [16,7,6,5,4,3,2,15,14,11,10,13,12,9,8,1]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12),(13,14),(15,16)] => [10,9,6,5,4,3,8,7,2,1,12,11,14,13,16,15]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,16),(12,15),(13,14)] => [10,9,6,5,4,3,8,7,2,1,16,15,14,13,12,11]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [(1,16),(2,13),(3,6),(4,5),(7,8),(9,10),(11,12),(14,15)] => [16,13,6,5,4,3,8,7,10,9,12,11,2,15,14,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [(1,16),(2,15),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14)] => [16,15,6,5,4,3,8,7,10,9,12,11,14,13,2,1]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,6),(4,5),(7,14),(8,9),(10,11),(12,13)] => [16,15,6,5,4,3,14,9,8,11,10,13,12,7,2,1]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,6),(4,5),(7,14),(8,13),(9,10),(11,12)] => [16,15,6,5,4,3,14,13,10,9,12,11,8,7,2,1]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,16),(12,15),(13,14)] => [10,9,8,5,4,7,6,3,2,1,16,15,14,13,12,11]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [(1,16),(2,9),(3,8),(4,5),(6,7),(10,11),(12,13),(14,15)] => [16,9,8,5,4,7,6,3,2,11,10,13,12,15,14,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [(1,16),(2,11),(3,10),(4,5),(6,7),(8,9),(12,13),(14,15)] => [16,11,10,5,4,7,6,9,8,3,2,13,12,15,14,1]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [(1,16),(2,15),(3,10),(4,5),(6,7),(8,9),(11,14),(12,13)] => [16,15,10,5,4,7,6,9,8,3,14,13,12,11,2,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,5),(6,7),(8,9),(10,11),(14,15)] => [16,13,12,5,4,7,6,9,8,11,10,3,2,15,14,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13)] => [16,15,14,5,4,7,6,9,8,11,10,13,12,3,2,1]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,7),(8,9),(10,13),(11,12)] => [16,15,14,5,4,7,6,9,8,13,12,11,10,3,2,1]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,9),(7,8),(10,11),(12,13)] => [16,15,14,5,4,9,8,7,6,11,10,13,12,3,2,1]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,9),(7,8),(10,13),(11,12)] => [16,15,14,5,4,9,8,7,6,13,12,11,10,3,2,1]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,13),(7,8),(9,12),(10,11)] => [16,15,14,5,4,13,8,7,12,11,10,9,6,3,2,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(14,15)] => [16,13,12,5,4,11,10,9,8,7,6,3,2,15,14,1]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,11),(7,10),(8,9),(12,13)] => [16,15,14,5,4,11,10,9,8,7,6,13,12,3,2,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)] => [16,15,14,5,4,13,12,11,10,9,8,7,6,3,2,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14),(15,16)] => [10,9,8,7,6,5,4,3,2,1,12,11,14,13,16,15]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,16),(12,13),(14,15)] => [10,9,8,7,6,5,4,3,2,1,16,13,12,15,14,11]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,16),(12,15),(13,14)] => [10,9,8,7,6,5,4,3,2,1,16,15,14,13,12,11]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14),(15,16)] => [12,9,8,7,6,5,4,3,2,11,10,1,14,13,16,15]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [(1,14),(2,9),(3,8),(4,7),(5,6),(10,11),(12,13),(15,16)] => [14,9,8,7,6,5,4,3,2,11,10,13,12,1,16,15]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [(1,16),(2,9),(3,8),(4,7),(5,6),(10,15),(11,12),(13,14)] => [16,9,8,7,6,5,4,3,2,15,12,11,14,13,10,1]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14),(15,16)] => [12,11,8,7,6,5,4,3,10,9,2,1,14,13,16,15]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,16),(14,15)] => [12,11,10,7,6,5,4,9,8,3,2,1,16,15,14,13]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [(1,16),(2,15),(3,12),(4,7),(5,6),(8,9),(10,11),(13,14)] => [16,15,12,7,6,5,4,9,8,11,10,3,14,13,2,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13)] => [16,15,14,7,6,5,4,9,8,11,10,13,12,3,2,1]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,7),(5,6),(8,13),(9,10),(11,12)] => [16,15,14,7,6,5,4,13,10,9,12,11,8,3,2,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,16),(14,15)] => [12,11,10,9,6,5,8,7,4,3,2,1,16,15,14,13]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [(1,16),(2,15),(3,10),(4,9),(5,6),(7,8),(11,14),(12,13)] => [16,15,10,9,6,5,8,7,4,3,14,13,12,11,2,1]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13)] => [16,15,14,9,6,5,8,7,4,11,10,13,12,3,2,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,9),(5,6),(7,8),(10,13),(11,12)] => [16,15,14,9,6,5,8,7,4,13,12,11,10,3,2,1]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(14,15)] => [16,13,12,11,6,5,8,7,10,9,4,3,2,15,14,1]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,6),(7,8),(9,10),(11,12)] => [16,15,14,13,6,5,8,7,10,9,12,11,4,3,2,1]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,6),(7,8),(9,12),(10,11)] => [16,15,14,13,6,5,8,7,12,11,10,9,4,3,2,1]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(14,15)] => [16,13,12,11,6,5,10,9,8,7,4,3,2,15,14,1]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,6),(7,10),(8,9),(11,12)] => [16,15,14,13,6,5,10,9,8,7,12,11,4,3,2,1]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)] => [16,15,14,13,6,5,12,11,10,9,8,7,4,3,2,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14),(15,16)] => [12,11,10,9,8,7,6,5,4,3,2,1,14,13,16,15]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,16),(14,15)] => [12,11,10,9,8,7,6,5,4,3,2,1,16,15,14,13]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13),(15,16)] => [14,11,10,9,8,7,6,5,4,3,2,13,12,1,16,15]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [(1,16),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13),(14,15)] => [16,11,10,9,8,7,6,5,4,3,2,13,12,15,14,1]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [(1,14),(2,13),(3,10),(4,9),(5,8),(6,7),(11,12),(15,16)] => [14,13,10,9,8,7,6,5,4,3,12,11,2,1,16,15]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(14,15)] => [16,13,12,9,8,7,6,5,4,11,10,3,2,15,14,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(14,15)] => [16,13,12,11,8,7,6,5,10,9,4,3,2,15,14,1]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [(1,16),(2,15),(3,12),(4,11),(5,8),(6,7),(9,10),(13,14)] => [16,15,12,11,8,7,6,5,10,9,4,3,14,13,2,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,11),(5,8),(6,7),(9,10),(12,13)] => [16,15,14,11,8,7,6,5,10,9,4,13,12,3,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,8),(6,7),(9,10),(11,12)] => [16,15,14,13,8,7,6,5,10,9,12,11,4,3,2,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(14,15)] => [16,13,12,11,10,7,6,9,8,5,4,3,2,15,14,1]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)] => [16,15,14,13,12,7,6,9,8,11,10,5,4,3,2,1]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)] => [16,15,14,13,12,7,6,11,10,9,8,5,4,3,2,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [(1,16),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(14,15)] => [16,13,12,11,10,9,8,7,6,5,4,3,2,15,14,1]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [(1,16),(2,15),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14)] => [16,15,12,11,10,9,8,7,6,5,4,3,14,13,2,1]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [(1,16),(2,15),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)] => [16,15,14,11,10,9,8,7,6,5,4,13,12,3,2,1]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)] => [16,15,14,13,10,9,8,7,6,5,12,11,4,3,2,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)] => [16,15,14,13,12,9,8,7,6,11,10,5,4,3,2,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)] => [16,15,14,13,12,11,8,7,10,9,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)] => [16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [(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]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(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]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [(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]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(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]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [(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]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [(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]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [(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]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,11),(12,13)] => [2,1,18,17,16,15,14,9,8,11,10,13,12,7,6,5,4,3]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,12),(10,11),(13,14)] => [2,1,20,19,18,17,16,15,12,11,10,9,14,13,8,7,6,5,4,3]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,10),(11,12),(13,14)] => [2,1,20,19,18,17,16,15,10,9,12,11,14,13,8,7,6,5,4,3]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,10),(8,9),(11,12),(13,14)] => [2,1,18,17,16,15,10,9,8,7,12,11,14,13,6,5,4,3]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [(1,16),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(14,15),(17,18)] => [16,13,12,11,10,9,8,7,6,5,4,3,2,15,14,1,18,17]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [(1,16),(2,3),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(17,18)] => [16,3,2,15,14,13,12,11,10,9,8,7,6,5,4,1,18,17]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,18),(16,17)] => [14,13,12,11,10,9,8,7,6,5,4,3,2,1,18,17,16,15]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,8),(9,10),(11,12),(13,14)] => [2,1,18,17,16,15,8,7,10,9,12,11,14,13,6,5,4,3]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,4),(2,3),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => [4,3,2,1,18,17,16,15,14,13,12,11,10,9,8,7,6,5]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16),(17,18)] => [14,13,12,11,10,9,8,7,6,5,4,3,2,1,16,15,18,17]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(17,18)] => [2,1,16,15,14,13,12,11,10,9,8,7,6,5,4,3,18,17]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,18),(16,17)] => [14,13,12,11,10,7,6,9,8,5,4,3,2,1,18,17,16,15]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,9),(10,11),(12,13),(14,15)] => [2,1,20,19,18,17,16,9,8,11,10,13,12,15,14,7,6,5,4,3]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [(1,4),(2,3),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)] => [4,3,2,1,18,17,16,15,14,11,10,13,12,9,8,7,6,5]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,2),(3,4),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => [2,1,4,3,18,17,16,15,14,13,12,11,10,9,8,7,6,5]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,20),(18,19)] => [16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,20,19,18,17]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,4),(2,3),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => [4,3,2,1,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18),(19,20)] => [16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,18,17,20,19]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(19,20)] => [2,1,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,20,19]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)] => [2,1,18,17,16,9,8,7,6,11,10,13,12,15,14,5,4,3]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,17),(15,16)] => [18,3,2,5,4,7,6,9,8,11,10,13,12,17,16,15,14,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14),(16,17)] => [18,3,2,5,4,7,6,9,8,11,10,15,14,13,12,17,16,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,17),(13,14),(15,16)] => [18,3,2,5,4,7,6,9,8,11,10,17,14,13,16,15,12,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,17),(13,16),(14,15)] => [18,3,2,5,4,7,6,9,8,11,10,17,16,15,14,13,12,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12),(14,15),(16,17)] => [18,3,2,5,4,7,6,9,8,13,12,11,10,15,14,17,16,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,15),(11,12),(13,14),(16,17)] => [18,3,2,5,4,7,6,9,8,15,12,11,14,13,10,17,16,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,17),(11,12),(13,14),(15,16)] => [18,3,2,5,4,7,6,9,8,17,12,11,14,13,16,15,10,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,17),(11,12),(13,16),(14,15)] => [18,3,2,5,4,7,6,9,8,17,12,11,16,15,14,13,10,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,15),(11,14),(12,13),(16,17)] => [18,3,2,5,4,7,6,9,8,15,14,13,12,11,10,17,16,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,17),(11,16),(12,13),(14,15)] => [18,3,2,5,4,7,6,9,8,17,16,13,12,15,14,11,10,1]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,7),(8,17),(9,16),(10,11),(12,13),(14,15)] => [18,3,2,5,4,7,6,17,16,11,10,13,12,15,14,9,8,1]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,18),(2,3),(4,5),(6,17),(7,16),(8,9),(10,11),(12,13),(14,15)] => [18,3,2,5,4,17,16,9,8,11,10,13,12,15,14,7,6,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,18),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)] => [18,3,2,7,6,5,4,9,8,11,10,13,12,15,14,17,16,1]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,18),(2,3),(4,17),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [18,3,2,17,6,5,8,7,10,9,12,11,14,13,16,15,4,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,18),(2,3),(4,17),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)] => [18,3,2,17,16,7,6,9,8,11,10,13,12,15,14,5,4,1]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [(1,18),(2,3),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(16,17)] => [18,3,2,15,14,13,12,11,10,9,8,7,6,5,4,17,16,1]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [(1,18),(2,3),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => [18,3,2,17,16,15,14,11,10,9,8,13,12,7,6,5,4,1]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [(1,18),(2,3),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => [18,3,2,17,16,15,14,13,10,9,12,11,8,7,6,5,4,1]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,3),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => [18,3,2,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,18),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)] => [18,7,4,3,6,5,2,9,8,11,10,13,12,15,14,17,16,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,18),(2,15),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(16,17)] => [18,15,4,3,6,5,8,7,10,9,12,11,14,13,2,17,16,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,18),(2,17),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [18,17,4,3,6,5,8,7,10,9,12,11,14,13,16,15,2,1]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [(1,18),(2,17),(3,4),(5,16),(6,7),(8,9),(10,11),(12,15),(13,14)] => [18,17,4,3,16,7,6,9,8,11,10,15,14,13,12,5,2,1]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [(1,18),(2,17),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)] => [18,17,4,3,14,13,12,11,10,9,8,7,6,5,16,15,2,1]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,4),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => [18,17,4,3,16,15,14,13,12,11,10,9,8,7,6,5,2,1]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,18),(2,17),(3,6),(4,5),(7,16),(8,9),(10,11),(12,13),(14,15)] => [18,17,6,5,4,3,16,9,8,11,10,13,12,15,14,7,2,1]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [(1,18),(2,17),(3,10),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16)] => [18,17,10,5,4,7,6,9,8,3,12,11,14,13,16,15,2,1]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [(1,18),(2,17),(3,12),(4,5),(6,7),(8,9),(10,11),(13,16),(14,15)] => [18,17,12,5,4,7,6,9,8,11,10,3,16,15,14,13,2,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,18),(2,17),(3,16),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)] => [18,17,16,5,4,7,6,9,8,11,10,13,12,15,14,3,2,1]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14)] => [18,17,16,5,4,7,6,9,8,11,10,15,14,13,12,3,2,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [(1,18),(2,17),(3,16),(4,5),(6,13),(7,12),(8,11),(9,10),(14,15)] => [18,17,16,5,4,13,12,11,10,9,8,7,6,15,14,3,2,1]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,5),(6,15),(7,14),(8,13),(9,12),(10,11)] => [18,17,16,5,4,15,14,13,12,11,10,9,8,7,6,3,2,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [(1,18),(2,17),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13),(15,16)] => [18,17,14,7,6,5,4,9,8,11,10,13,12,3,16,15,2,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,18),(2,17),(3,16),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)] => [18,17,16,7,6,5,4,9,8,11,10,13,12,15,14,3,2,1]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,6),(7,8),(9,10),(11,14),(12,13)] => [18,17,16,15,6,5,8,7,10,9,14,13,12,11,4,3,2,1]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,6),(7,14),(8,9),(10,13),(11,12)] => [18,17,16,15,6,5,14,9,8,13,12,11,10,7,4,3,2,1]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,6),(7,12),(8,11),(9,10),(13,14)] => [18,17,16,15,6,5,12,11,10,9,8,7,14,13,4,3,2,1]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,6),(7,14),(8,13),(9,12),(10,11)] => [18,17,16,15,6,5,14,13,12,11,10,9,8,7,4,3,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,8),(6,7),(9,10),(11,12),(13,14)] => [18,17,16,15,8,7,6,5,10,9,12,11,14,13,4,3,2,1]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,8),(6,7),(9,14),(10,11),(12,13)] => [18,17,16,15,8,7,6,5,14,11,10,13,12,9,4,3,2,1]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,10),(6,7),(8,9),(11,14),(12,13)] => [18,17,16,15,10,7,6,9,8,5,14,13,12,11,4,3,2,1]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,7),(8,9),(10,13),(11,12)] => [18,17,16,15,14,7,6,9,8,13,12,11,10,5,4,3,2,1]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [(1,18),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(16,17)] => [18,15,14,13,12,7,6,11,10,9,8,5,4,3,2,17,16,1]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,7),(8,11),(9,10),(12,13)] => [18,17,16,15,14,7,6,11,10,9,8,13,12,5,4,3,2,1]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)] => [18,17,16,15,14,7,6,13,12,11,10,9,8,5,4,3,2,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [(1,18),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(16,17)] => [18,15,14,13,12,9,8,7,6,11,10,5,4,3,2,17,16,1]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,12),(6,9),(7,8),(10,11),(13,14)] => [18,17,16,15,12,9,8,7,6,11,10,5,14,13,4,3,2,1]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,9),(7,8),(10,11),(12,13)] => [18,17,16,15,14,9,8,7,6,11,10,13,12,5,4,3,2,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [(1,18),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(16,17)] => [18,15,14,13,12,11,8,7,10,9,6,5,4,3,2,17,16,1]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)] => [18,17,16,15,14,13,8,7,10,9,12,11,6,5,4,3,2,1]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)] => [18,17,16,15,14,13,8,7,12,11,10,9,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [(1,18),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(16,17)] => [18,15,14,13,12,11,10,9,8,7,6,5,4,3,2,17,16,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [(1,18),(2,17),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(15,16)] => [18,17,14,13,12,11,10,9,8,7,6,5,4,3,16,15,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [(1,18),(2,17),(3,16),(4,13),(5,12),(6,11),(7,10),(8,9),(14,15)] => [18,17,16,13,12,11,10,9,8,7,6,5,4,15,14,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,12),(6,11),(7,10),(8,9),(13,14)] => [18,17,16,15,12,11,10,9,8,7,6,5,14,13,4,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)] => [18,17,16,15,14,11,10,9,8,7,6,13,12,5,4,3,2,1]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)] => [18,17,16,15,14,13,10,9,8,7,12,11,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)] => [18,17,16,15,14,13,12,9,8,11,10,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)] => [18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(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]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,22),(20,21)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,22,21,20,19]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,22),(18,19),(20,21)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,22,19,18,21,20,17]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)] => [20,5,4,3,2,7,6,9,8,11,10,13,12,15,14,17,16,19,18,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,22),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21)] => [22,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,21,20,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,18),(6,13),(7,8),(9,10),(11,12),(14,15),(16,17)] => [2,1,4,3,18,13,8,7,10,9,12,11,6,15,14,17,16,5]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,18),(4,15),(5,6),(7,8),(9,10),(11,12),(13,14),(16,17)] => [2,1,18,15,6,5,8,7,10,9,12,11,14,13,4,17,16,3]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,11),(3,4),(5,6),(7,8),(9,10),(12,13),(14,15),(16,17),(18,19)] => [20,11,4,3,6,5,8,7,10,9,2,13,12,15,14,17,16,19,18,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,18),(4,17),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)] => [2,1,18,17,6,5,8,7,10,9,12,11,14,13,16,15,4,3]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,2),(3,18),(4,17),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)] => [2,1,18,17,16,7,6,9,8,11,10,13,12,15,14,5,4,3]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,20),(4,19),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => [2,1,20,19,6,5,8,7,10,9,12,11,14,13,16,15,18,17,4,3]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,20),(2,17),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(18,19)] => [20,17,4,3,6,5,8,7,10,9,12,11,14,13,16,15,2,19,18,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,2),(3,20),(4,19),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [2,1,20,19,18,7,6,9,8,11,10,13,12,15,14,17,16,5,4,3]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13),(15,18),(16,17)] => [2,1,4,3,6,5,8,7,10,9,14,13,12,11,18,17,16,15]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,14),(15,16),(17,18)] => [2,1,4,3,6,5,10,9,8,7,12,11,14,13,16,15,18,17]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,14),(15,16),(17,18)] => [2,1,4,3,8,7,6,5,10,9,12,11,14,13,16,15,18,17]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => [2,1,6,5,4,3,8,7,10,9,12,11,14,13,18,17,16,15]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,14),(15,16),(17,18)] => [2,1,6,5,4,3,10,9,8,7,12,11,14,13,16,15,18,17]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14),(15,16),(17,18)] => [2,1,8,7,6,5,4,3,10,9,12,11,14,13,16,15,18,17]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(15,18),(16,17)] => [2,1,14,13,12,11,10,9,8,7,6,5,4,3,18,17,16,15]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => [4,3,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => [4,3,2,1,6,5,8,7,10,9,12,11,14,13,18,17,16,15]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15),(17,18)] => [4,3,2,1,6,5,8,7,10,9,12,11,16,15,14,13,18,17]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(17,18)] => [4,3,2,1,16,15,14,13,12,11,10,9,8,7,6,5,18,17]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => [6,5,4,3,2,1,8,7,10,9,12,11,14,13,16,15,18,17]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,6),(2,5),(3,4),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => [6,5,4,3,2,1,18,17,16,15,14,13,12,11,10,9,8,7]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14),(15,16),(17,18)] => [8,7,6,5,4,3,2,1,10,9,12,11,14,13,16,15,18,17]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,18),(10,17),(11,16),(12,15),(13,14)] => [8,7,6,5,4,3,2,1,18,17,16,15,14,13,12,11,10,9]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14),(15,16),(17,18)] => [10,9,8,7,6,5,4,3,2,1,12,11,14,13,16,15,18,17]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,18),(12,17),(13,16),(14,15)] => [10,9,8,7,6,5,4,3,2,1,18,17,16,15,14,13,12,11]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14),(15,16),(17,18)] => [12,11,10,9,8,7,6,5,4,3,2,1,14,13,16,15,18,17]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,18),(14,17),(15,16)] => [12,11,10,9,8,7,6,5,4,3,2,1,18,17,16,15,14,13]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13),(15,16),(17,18),(19,20)] => [2,1,4,3,6,5,8,7,10,9,14,13,12,11,16,15,18,17,20,19]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => [4,3,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,20),(18,19)] => [4,3,2,1,6,5,8,7,10,9,12,11,14,13,16,15,20,19,18,17]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => [6,5,4,3,2,1,8,7,10,9,12,11,14,13,16,15,18,17,20,19]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,6),(2,5),(3,4),(7,20),(8,19),(9,18),(10,17),(11,16),(12,15),(13,14)] => [6,5,4,3,2,1,20,19,18,17,16,15,14,13,12,11,10,9,8,7]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => [8,7,6,5,4,3,2,1,10,9,12,11,14,13,16,15,18,17,20,19]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,20),(10,19),(11,18),(12,17),(13,16),(14,15)] => [8,7,6,5,4,3,2,1,20,19,18,17,16,15,14,13,12,11,10,9]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14),(15,16),(17,18),(19,20)] => [10,9,8,7,6,5,4,3,2,1,12,11,14,13,16,15,18,17,20,19]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,20),(12,19),(13,18),(14,17),(15,16)] => [10,9,8,7,6,5,4,3,2,1,20,19,18,17,16,15,14,13,12,11]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14),(15,16),(17,18),(19,20)] => [12,11,10,9,8,7,6,5,4,3,2,1,14,13,16,15,18,17,20,19]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,20),(14,19),(15,18),(16,17)] => [12,11,10,9,8,7,6,5,4,3,2,1,20,19,18,17,16,15,14,13]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16),(17,18),(19,20)] => [14,13,12,11,10,9,8,7,6,5,4,3,2,1,16,15,18,17,20,19]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,20),(16,19),(17,18)] => [14,13,12,11,10,9,8,7,6,5,4,3,2,1,20,19,18,17,16,15]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => [20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => [6,3,2,5,4,1,8,7,10,9,12,11,14,13,16,15,18,17]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12),(13,14),(15,16),(17,18)] => [8,3,2,5,4,7,6,1,10,9,12,11,14,13,16,15,18,17]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18)] => [10,3,2,5,4,7,6,9,8,1,12,11,14,13,16,15,18,17]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,14),(15,16),(17,18)] => [12,3,2,5,4,7,6,9,8,11,10,1,14,13,16,15,18,17]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(15,16),(17,18)] => [14,3,2,5,4,7,6,9,8,11,10,13,12,1,16,15,18,17]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(17,18)] => [16,3,2,5,4,7,6,9,8,11,10,13,12,15,14,1,18,17]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => [6,3,2,5,4,1,8,7,10,9,12,11,14,13,16,15,18,17,20,19]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12),(13,14),(15,16),(17,18)] => [8,3,2,7,6,5,4,1,10,9,12,11,14,13,16,15,18,17]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)] => [8,3,2,5,4,7,6,1,10,9,12,11,14,13,16,15,18,17,20,19]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12),(13,14),(15,16),(17,18)] => [10,3,2,5,4,9,8,7,6,1,12,11,14,13,16,15,18,17]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18),(19,20)] => [10,3,2,5,4,7,6,9,8,1,12,11,14,13,16,15,18,17,20,19]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10),(13,14),(15,16),(17,18)] => [12,3,2,5,4,7,6,11,10,9,8,1,14,13,16,15,18,17]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,14),(15,16),(17,18),(19,20)] => [12,3,2,5,4,7,6,9,8,11,10,1,14,13,16,15,18,17,20,19]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12),(15,16),(17,18)] => [14,3,2,5,4,7,6,9,8,13,12,11,10,1,16,15,18,17]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(15,16),(17,18),(19,20)] => [14,3,2,5,4,7,6,9,8,11,10,13,12,1,16,15,18,17,20,19]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14),(17,18)] => [16,3,2,5,4,7,6,9,8,11,10,15,14,13,12,1,18,17]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(17,18),(19,20)] => [16,3,2,5,4,7,6,9,8,11,10,13,12,15,14,1,18,17,20,19]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(19,20)] => [18,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,1,20,19]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)] => [20,19,18,17,6,5,8,7,10,9,12,11,16,15,14,13,4,3,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,8),(6,7),(9,10),(11,12),(13,14),(15,16)] => [20,19,18,17,8,7,6,5,10,9,12,11,14,13,16,15,4,3,2,1]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [(1,22),(2,21),(3,20),(4,19),(5,6),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => [22,21,20,19,6,5,8,7,10,9,12,11,14,13,18,17,16,15,4,3,2,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,17),(15,16)] => [20,19,18,5,4,7,6,9,8,11,10,13,12,17,16,15,14,3,2,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,20),(2,19),(3,18),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)] => [20,19,18,7,6,5,4,9,8,11,10,13,12,15,14,17,16,3,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [(1,22),(2,21),(3,20),(4,19),(5,8),(6,7),(9,10),(11,12),(13,14),(15,16),(17,18)] => [22,21,20,19,8,7,6,5,10,9,12,11,14,13,16,15,18,17,4,3,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22)] => [4,3,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19,22,21]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)] => [4,3,2,1,6,5,8,7,10,9,12,11,18,15,14,17,16,13]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,19),(17,18)] => [20,3,2,5,4,7,6,9,8,11,10,13,12,15,14,19,18,17,16,1]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)] => [20,19,18,17,16,15,14,9,8,13,12,11,10,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => [20,19,18,17,16,15,14,11,10,9,8,13,12,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [(1,22),(2,21),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,10),(11,14),(12,13)] => [22,21,20,19,18,17,16,15,10,9,14,13,12,11,8,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,8),(9,10),(11,14),(12,13)] => [20,19,18,17,16,15,8,7,10,9,14,13,12,11,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,10),(8,9),(11,12),(13,14)] => [20,19,18,17,16,15,10,9,8,7,12,11,14,13,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [(1,22),(2,21),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,12),(10,11),(13,14)] => [22,21,20,19,18,17,16,15,12,11,10,9,14,13,8,7,6,5,4,3,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,20),(16,17),(18,19)] => [4,3,2,1,6,5,8,7,10,9,12,11,14,13,20,17,16,19,18,15]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)] => [6,3,2,5,4,1,8,7,10,9,12,11,18,15,14,17,16,13]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)] => [2,1,6,5,4,3,8,7,10,9,12,11,18,15,14,17,16,13]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)] => [6,3,2,5,4,1,8,7,10,9,12,11,14,13,18,17,16,15]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,16),(2,15),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(17,18)] => [16,15,4,3,6,5,8,7,10,9,12,11,14,13,2,1,18,17]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12),(15,16),(17,18)] => [14,13,4,3,6,5,8,7,10,9,12,11,2,1,16,15,18,17]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10),(13,14),(15,16),(17,18)] => [12,11,4,3,6,5,8,7,10,9,2,1,14,13,16,15,18,17]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12),(13,14),(15,16),(17,18)] => [10,9,4,3,6,5,8,7,2,1,12,11,14,13,16,15,18,17]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12),(13,14),(15,16),(17,18)] => [8,7,4,3,6,5,2,1,10,9,12,11,14,13,16,15,18,17]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,3),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => [20,3,2,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [(1,20),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(18,19)] => [20,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,19,18,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [(1,22),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(20,21)] => [22,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,21,20,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [(1,20),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(18,19)] => [20,17,16,15,14,13,12,9,8,11,10,7,6,5,4,3,2,19,18,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13),(15,16),(17,18)] => [14,11,10,9,8,7,6,5,4,3,2,13,12,1,16,15,18,17]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14),(15,16),(17,18)] => [12,9,8,7,6,5,4,3,2,11,10,1,14,13,16,15,18,17]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12),(13,14),(15,16),(17,18)] => [10,7,6,5,4,3,2,9,8,1,12,11,14,13,16,15,18,17]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12),(13,14),(15,16),(17,18)] => [8,5,4,3,2,7,6,1,10,9,12,11,14,13,16,15,18,17]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => [20,19,18,17,16,15,14,13,10,9,12,11,8,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,8),(9,14),(10,13),(11,12)] => [20,19,18,17,16,15,8,7,14,13,12,11,10,9,6,5,4,3,2,1]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,7),(8,15),(9,14),(10,13),(11,12)] => [20,19,18,17,16,7,6,15,14,13,12,11,10,9,8,5,4,3,2,1]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,6),(7,16),(8,15),(9,14),(10,13),(11,12)] => [20,19,18,17,6,5,16,15,14,13,12,11,10,9,8,7,4,3,2,1]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,5),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => [20,19,18,5,4,17,16,15,14,13,12,11,10,9,8,7,6,3,2,1]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,4),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => [20,19,4,3,18,17,16,15,14,13,12,11,10,9,8,7,6,5,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12),(15,18),(16,17)] => [14,13,4,3,6,5,8,7,10,9,12,11,2,1,18,17,16,15]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,18),(6,17),(7,8),(9,10),(11,12),(13,14),(15,16)] => [4,3,2,1,18,17,8,7,10,9,12,11,14,13,16,15,6,5]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,16),(2,3),(4,15),(5,6),(7,8),(9,10),(11,12),(13,14),(17,18)] => [16,3,2,15,6,5,8,7,10,9,12,11,14,13,4,1,18,17]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,20),(2,3),(4,19),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)] => [20,3,2,19,6,5,8,7,10,9,12,11,14,13,16,15,18,17,4,1]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [(1,22),(2,21),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)] => [22,21,20,19,18,17,16,15,14,11,10,13,12,9,8,7,6,5,4,3,2,1]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,6),(2,3),(4,5),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => [6,3,2,5,4,1,18,17,16,15,14,13,12,11,10,9,8,7]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,18),(10,17),(11,16),(12,15),(13,14)] => [8,7,4,3,6,5,2,1,18,17,16,15,14,13,12,11,10,9]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,18),(12,17),(13,16),(14,15)] => [10,9,8,5,4,7,6,3,2,1,18,17,16,15,14,13,12,11]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,18),(14,17),(15,16)] => [12,11,10,9,6,5,8,7,4,3,2,1,18,17,16,15,14,13]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18)] => [2,1,10,5,4,7,6,9,8,3,12,11,14,13,16,15,18,17]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18)] => [2,1,4,3,10,7,6,9,8,5,12,11,14,13,16,15,18,17]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15),(17,18),(19,20)] => [2,1,4,3,6,5,8,7,10,9,16,13,12,15,14,11,18,17,20,19]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,13),(14,15),(16,17),(19,20)] => [2,1,4,3,6,5,8,7,10,9,18,13,12,15,14,17,16,11,20,19]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14),(15,18),(16,17)] => [10,3,2,5,4,7,6,9,8,1,12,11,14,13,18,17,16,15]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12),(13,14),(15,16),(17,18)] => [4,3,2,1,10,7,6,9,8,5,12,11,14,13,16,15,18,17]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,3),(4,11),(5,6),(7,8),(9,10),(12,13),(14,15),(16,17),(18,19)] => [20,3,2,11,6,5,8,7,10,9,4,13,12,15,14,17,16,19,18,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,3),(4,5),(6,11),(7,8),(9,10),(12,13),(14,15),(16,17),(18,19)] => [20,3,2,5,4,11,8,7,10,9,6,13,12,15,14,17,16,19,18,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13),(14,15),(16,17),(18,19)] => [20,3,2,5,4,7,6,11,10,9,8,13,12,15,14,17,16,19,18,1]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [(1,2),(3,20),(4,19),(5,18),(6,17),(7,8),(9,10),(11,12),(13,14),(15,16)] => [2,1,20,19,18,17,8,7,10,9,12,11,14,13,16,15,6,5,4,3]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,18),(4,17),(5,8),(6,7),(9,10),(11,12),(13,14),(15,16)] => [2,1,18,17,8,7,6,5,10,9,12,11,14,13,16,15,4,3]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,16),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(17,18)] => [16,5,4,3,2,7,6,9,8,11,10,13,12,15,14,1,18,17]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,17),(15,16)] => [2,1,18,5,4,7,6,9,8,11,10,13,12,17,16,15,14,3]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(15,18),(16,17)] => [14,3,2,5,4,7,6,9,8,11,10,13,12,1,18,17,16,15]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [4,3,2,1,18,7,6,9,8,11,10,13,12,15,14,17,16,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,18),(14,17),(15,16)] => [12,3,2,5,4,7,6,9,8,11,10,1,18,17,16,15,14,13]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,19),(15,18),(16,17)] => [20,3,2,5,4,7,6,9,8,11,10,13,12,19,18,17,16,15,14,1]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,18),(12,17),(13,16),(14,15)] => [10,3,2,5,4,7,6,9,8,1,18,17,16,15,14,13,12,11]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,19),(13,18),(14,15),(16,17)] => [20,3,2,5,4,7,6,9,8,11,10,19,18,15,14,17,16,13,12,1]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,18),(10,17),(11,16),(12,13),(14,15)] => [8,3,2,5,4,7,6,1,18,17,16,13,12,15,14,11,10,9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,9),(10,19),(11,18),(12,13),(14,15),(16,17)] => [20,3,2,5,4,7,6,9,8,19,18,13,12,15,14,17,16,11,10,1]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(1,6),(2,3),(4,5),(7,18),(8,17),(9,16),(10,11),(12,13),(14,15)] => [6,3,2,5,4,1,18,17,16,11,10,13,12,15,14,9,8,7]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,7),(8,19),(9,18),(10,11),(12,13),(14,15),(16,17)] => [20,3,2,5,4,7,6,19,18,11,10,13,12,15,14,17,16,9,8,1]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,18),(6,17),(7,16),(8,9),(10,11),(12,13),(14,15)] => [4,3,2,1,18,17,16,9,8,11,10,13,12,15,14,7,6,5]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,5),(6,19),(7,18),(8,9),(10,11),(12,13),(14,15),(16,17)] => [20,3,2,5,4,19,18,9,8,11,10,13,12,15,14,17,16,7,6,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,20),(2,3),(4,19),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [20,3,2,19,18,7,6,9,8,11,10,13,12,15,14,17,16,5,4,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [(1,20),(2,19),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)] => [20,19,18,5,4,7,6,9,8,11,10,13,12,15,14,17,16,3,2,1]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [(1,4),(2,3),(5,18),(6,7),(8,17),(9,16),(10,15),(11,14),(12,13)] => [4,3,2,1,18,7,6,17,16,15,14,13,12,11,10,9,8,5]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [(1,14),(2,13),(3,4),(5,12),(6,11),(7,10),(8,9),(15,18),(16,17)] => [14,13,4,3,12,11,10,9,8,7,6,5,2,1,18,17,16,15]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [(1,6),(2,5),(3,4),(7,18),(8,17),(9,10),(11,16),(12,15),(13,14)] => [6,5,4,3,2,1,18,17,10,9,16,15,14,13,12,11,8,7]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,18),(14,17),(15,16)] => [12,11,10,5,4,9,8,7,6,3,2,1,18,17,16,15,14,13]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,18),(10,17),(11,16),(12,13),(14,15)] => [8,7,6,5,4,3,2,1,18,17,16,13,12,15,14,11,10,9]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,18),(14,15),(16,17)] => [12,11,10,9,8,7,6,5,4,3,2,1,18,15,14,17,16,13]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [(1,20),(2,19),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(17,18)] => [20,19,16,15,14,13,12,11,10,9,8,7,6,5,4,3,18,17,2,1]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,18),(12,17),(13,14),(15,16)] => [10,9,8,7,6,5,4,3,2,1,18,17,14,13,16,15,12,11]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [(1,20),(2,19),(3,18),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(16,17)] => [20,19,18,15,14,13,12,11,10,9,8,7,6,5,4,17,16,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)] => [20,19,18,17,14,13,12,11,10,9,8,7,6,5,16,15,4,3,2,1]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(1,6),(2,5),(3,4),(7,18),(8,17),(9,16),(10,15),(11,12),(13,14)] => [6,5,4,3,2,1,18,17,16,15,12,11,14,13,10,9,8,7]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,13),(7,12),(8,11),(9,10),(14,15)] => [20,19,18,17,16,13,12,11,10,9,8,7,6,15,14,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,12),(8,11),(9,10),(13,14)] => [20,19,18,17,16,15,12,11,10,9,8,7,14,13,6,5,4,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,18),(12,13),(14,15),(16,17)] => [2,1,4,3,8,7,6,5,10,9,18,13,12,15,14,17,16,11]
Map
to tunnel matching
Description
Sends a Dyck path of semilength n to the noncrossing perfect matching given by matching an up-step with the corresponding down-step.
This is, for a Dyck path $D$ of semilength $n$, the perfect matching of $\{1,\dots,2n\}$ with $i < j$ being matched if $D_i$ is an up-step and $D_j$ is the down-step connected to $D_i$ by a tunnel.
This is, for a Dyck path $D$ of semilength $n$, the perfect matching of $\{1,\dots,2n\}$ with $i < j$ being matched if $D_i$ is an up-step and $D_j$ is the down-step connected to $D_i$ by a tunnel.
Map
to permutation
Description
Returns the fixed point free involution whose transpositions are the pairs in the perfect matching.
searching the database
Sorry, this map was not found in the database.