Identifier
Mp00146:
Dyck paths
—to tunnel matching⟶
Perfect matchings
Mp00283: Perfect matchings —non-nesting-exceedence permutation⟶ Permutations
Mp00283: Perfect matchings —non-nesting-exceedence 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)] => [3,4,2,1]
[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)] => [2,1,5,6,4,3]
[1,1,0,0,1,0] => [(1,4),(2,3),(5,6)] => [3,4,2,1,6,5]
[1,1,0,1,0,0] => [(1,6),(2,3),(4,5)] => [3,5,2,6,4,1]
[1,1,1,0,0,0] => [(1,6),(2,5),(3,4)] => [4,5,6,3,2,1]
[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)] => [2,1,4,3,7,8,6,5]
[1,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,8)] => [2,1,5,6,4,3,8,7]
[1,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7)] => [2,1,5,7,4,8,6,3]
[1,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,7),(5,6)] => [2,1,6,7,8,5,4,3]
[1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8)] => [3,4,2,1,6,5,8,7]
[1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7)] => [3,4,2,1,7,8,6,5]
[1,1,0,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,8)] => [3,5,2,6,4,1,8,7]
[1,1,0,1,0,1,0,0] => [(1,8),(2,3),(4,5),(6,7)] => [3,5,2,7,4,8,6,1]
[1,1,0,1,1,0,0,0] => [(1,8),(2,3),(4,7),(5,6)] => [3,6,2,7,8,5,4,1]
[1,1,1,0,0,0,1,0] => [(1,6),(2,5),(3,4),(7,8)] => [4,5,6,3,2,1,8,7]
[1,1,1,0,0,1,0,0] => [(1,8),(2,5),(3,4),(6,7)] => [4,5,7,3,2,8,6,1]
[1,1,1,0,1,0,0,0] => [(1,8),(2,7),(3,4),(5,6)] => [4,6,7,3,8,5,2,1]
[1,1,1,1,0,0,0,0] => [(1,8),(2,7),(3,6),(4,5)] => [5,6,7,8,4,3,2,1]
[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)] => [2,1,4,3,6,5,9,10,8,7]
[1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [2,1,4,3,7,8,6,5,10,9]
[1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [2,1,4,3,7,9,6,10,8,5]
[1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [2,1,4,3,8,9,10,7,6,5]
[1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [2,1,5,6,4,3,8,7,10,9]
[1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [2,1,5,6,4,3,9,10,8,7]
[1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10)] => [2,1,5,7,4,8,6,3,10,9]
[1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [2,1,5,7,4,9,6,10,8,3]
[1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [2,1,5,8,4,9,10,7,6,3]
[1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10)] => [2,1,6,7,8,5,4,3,10,9]
[1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [2,1,6,7,9,5,4,10,8,3]
[1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [2,1,6,8,9,5,10,7,4,3]
[1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [2,1,7,8,9,10,6,5,4,3]
[1,1,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [3,4,2,1,6,5,8,7,10,9]
[1,1,0,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,10),(8,9)] => [3,4,2,1,6,5,9,10,8,7]
[1,1,0,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [3,4,2,1,7,8,6,5,10,9]
[1,1,0,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [3,4,2,1,7,9,6,10,8,5]
[1,1,0,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,10),(6,9),(7,8)] => [3,4,2,1,8,9,10,7,6,5]
[1,1,0,1,0,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [3,5,2,6,4,1,8,7,10,9]
[1,1,0,1,0,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [3,5,2,6,4,1,9,10,8,7]
[1,1,0,1,0,1,0,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [3,5,2,7,4,8,6,1,10,9]
[1,1,0,1,0,1,0,1,0,0] => [(1,10),(2,3),(4,5),(6,7),(8,9)] => [3,5,2,7,4,9,6,10,8,1]
[1,1,0,1,0,1,1,0,0,0] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [3,5,2,8,4,9,10,7,6,1]
[1,1,0,1,1,0,0,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [3,6,2,7,8,5,4,1,10,9]
[1,1,0,1,1,0,0,1,0,0] => [(1,10),(2,3),(4,7),(5,6),(8,9)] => [3,6,2,7,9,5,4,10,8,1]
[1,1,0,1,1,0,1,0,0,0] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [3,6,2,8,9,5,10,7,4,1]
[1,1,0,1,1,1,0,0,0,0] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [3,7,2,8,9,10,6,5,4,1]
[1,1,1,0,0,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [4,5,6,3,2,1,8,7,10,9]
[1,1,1,0,0,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,10),(8,9)] => [4,5,6,3,2,1,9,10,8,7]
[1,1,1,0,0,1,0,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [4,5,7,3,2,8,6,1,10,9]
[1,1,1,0,0,1,0,1,0,0] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [4,5,7,3,2,9,6,10,8,1]
[1,1,1,0,0,1,1,0,0,0] => [(1,10),(2,5),(3,4),(6,9),(7,8)] => [4,5,8,3,2,9,10,7,6,1]
[1,1,1,0,1,0,0,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [4,6,7,3,8,5,2,1,10,9]
[1,1,1,0,1,0,0,1,0,0] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [4,6,7,3,9,5,2,10,8,1]
[1,1,1,0,1,0,1,0,0,0] => [(1,10),(2,9),(3,4),(5,6),(7,8)] => [4,6,8,3,9,5,10,7,2,1]
[1,1,1,0,1,1,0,0,0,0] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [4,7,8,3,9,10,6,5,2,1]
[1,1,1,1,0,0,0,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [5,6,7,8,4,3,2,1,10,9]
[1,1,1,1,0,0,0,1,0,0] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [5,6,7,9,4,3,2,10,8,1]
[1,1,1,1,0,0,1,0,0,0] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [5,6,8,9,4,3,10,7,2,1]
[1,1,1,1,0,1,0,0,0,0] => [(1,10),(2,9),(3,8),(4,5),(6,7)] => [5,7,8,9,4,10,6,3,2,1]
[1,1,1,1,1,0,0,0,0,0] => [(1,10),(2,9),(3,8),(4,7),(5,6)] => [6,7,8,9,10,5,4,3,2,1]
[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)] => [2,1,4,3,6,5,8,7,11,12,10,9]
[1,0,1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [2,1,4,3,6,5,9,10,8,7,12,11]
[1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [2,1,4,3,6,5,9,11,8,12,10,7]
[1,0,1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [2,1,4,3,6,5,10,11,12,9,8,7]
[1,0,1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [2,1,4,3,7,8,6,5,10,9,12,11]
[1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [2,1,4,3,7,8,6,5,11,12,10,9]
[1,0,1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [2,1,4,3,7,9,6,10,8,5,12,11]
[1,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [2,1,4,3,7,9,6,11,8,12,10,5]
[1,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [2,1,4,3,7,10,6,11,12,9,8,5]
[1,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [2,1,4,3,8,9,10,7,6,5,12,11]
[1,0,1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [2,1,4,3,8,9,11,7,6,12,10,5]
[1,0,1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [2,1,4,3,8,10,11,7,12,9,6,5]
[1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [2,1,4,3,9,10,11,12,8,7,6,5]
[1,0,1,1,0,0,1,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [2,1,5,6,4,3,8,7,10,9,12,11]
[1,0,1,1,0,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [2,1,5,6,4,3,8,7,11,12,10,9]
[1,0,1,1,0,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [2,1,5,6,4,3,9,10,8,7,12,11]
[1,0,1,1,0,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [2,1,5,6,4,3,9,11,8,12,10,7]
[1,0,1,1,0,0,1,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [2,1,5,6,4,3,10,11,12,9,8,7]
[1,0,1,1,0,1,0,0,1,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [2,1,5,7,4,8,6,3,10,9,12,11]
[1,0,1,1,0,1,0,0,1,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [2,1,5,7,4,8,6,3,11,12,10,9]
[1,0,1,1,0,1,0,1,0,0,1,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [2,1,5,7,4,9,6,10,8,3,12,11]
[1,0,1,1,0,1,0,1,0,1,0,0] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [2,1,5,7,4,9,6,11,8,12,10,3]
[1,0,1,1,0,1,0,1,1,0,0,0] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [2,1,5,7,4,10,6,11,12,9,8,3]
[1,0,1,1,0,1,1,0,0,0,1,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [2,1,5,8,4,9,10,7,6,3,12,11]
[1,0,1,1,0,1,1,0,0,1,0,0] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [2,1,5,8,4,9,11,7,6,12,10,3]
[1,0,1,1,0,1,1,0,1,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [2,1,5,8,4,10,11,7,12,9,6,3]
[1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [2,1,5,9,4,10,11,12,8,7,6,3]
[1,0,1,1,1,0,0,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [2,1,6,7,8,5,4,3,10,9,12,11]
[1,0,1,1,1,0,0,0,1,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [2,1,6,7,8,5,4,3,11,12,10,9]
[1,0,1,1,1,0,0,1,0,0,1,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [2,1,6,7,9,5,4,10,8,3,12,11]
[1,0,1,1,1,0,0,1,0,1,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [2,1,6,7,9,5,4,11,8,12,10,3]
[1,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [2,1,6,7,10,5,4,11,12,9,8,3]
[1,0,1,1,1,0,1,0,0,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [2,1,6,8,9,5,10,7,4,3,12,11]
[1,0,1,1,1,0,1,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [2,1,6,8,9,5,11,7,4,12,10,3]
[1,0,1,1,1,0,1,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [2,1,6,8,10,5,11,7,12,9,4,3]
[1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [2,1,6,9,10,5,11,12,8,7,4,3]
>>> 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)] => [2,1,7,8,9,10,6,5,4,3,12,11]
[1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [2,1,7,8,9,11,6,5,4,12,10,3]
[1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [2,1,7,8,10,11,6,5,12,9,4,3]
[1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [2,1,7,9,10,11,6,12,8,5,4,3]
[1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [2,1,8,9,10,11,12,7,6,5,4,3]
[1,1,0,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [3,4,2,1,6,5,8,7,10,9,12,11]
[1,1,0,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [3,4,2,1,6,5,8,7,11,12,10,9]
[1,1,0,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [3,4,2,1,6,5,9,10,8,7,12,11]
[1,1,0,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [3,4,2,1,6,5,9,11,8,12,10,7]
[1,1,0,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [3,4,2,1,6,5,10,11,12,9,8,7]
[1,1,0,0,1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [3,4,2,1,7,8,6,5,10,9,12,11]
[1,1,0,0,1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [3,4,2,1,7,8,6,5,11,12,10,9]
[1,1,0,0,1,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [3,4,2,1,7,9,6,10,8,5,12,11]
[1,1,0,0,1,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [3,4,2,1,7,9,6,11,8,12,10,5]
[1,1,0,0,1,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [3,4,2,1,7,10,6,11,12,9,8,5]
[1,1,0,0,1,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [3,4,2,1,8,9,10,7,6,5,12,11]
[1,1,0,0,1,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [3,4,2,1,8,9,11,7,6,12,10,5]
[1,1,0,0,1,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [3,4,2,1,8,10,11,7,12,9,6,5]
[1,1,0,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [3,4,2,1,9,10,11,12,8,7,6,5]
[1,1,0,1,0,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [3,5,2,6,4,1,8,7,10,9,12,11]
[1,1,0,1,0,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [3,5,2,6,4,1,8,7,11,12,10,9]
[1,1,0,1,0,0,1,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [3,5,2,6,4,1,9,10,8,7,12,11]
[1,1,0,1,0,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [3,5,2,6,4,1,9,11,8,12,10,7]
[1,1,0,1,0,0,1,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [3,5,2,6,4,1,10,11,12,9,8,7]
[1,1,0,1,0,1,0,0,1,0,1,0] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [3,5,2,7,4,8,6,1,10,9,12,11]
[1,1,0,1,0,1,0,0,1,1,0,0] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [3,5,2,7,4,8,6,1,11,12,10,9]
[1,1,0,1,0,1,0,1,0,0,1,0] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [3,5,2,7,4,9,6,10,8,1,12,11]
[1,1,0,1,0,1,0,1,0,1,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [3,5,2,7,4,9,6,11,8,12,10,1]
[1,1,0,1,0,1,0,1,1,0,0,0] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [3,5,2,7,4,10,6,11,12,9,8,1]
[1,1,0,1,0,1,1,0,0,0,1,0] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [3,5,2,8,4,9,10,7,6,1,12,11]
[1,1,0,1,0,1,1,0,0,1,0,0] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [3,5,2,8,4,9,11,7,6,12,10,1]
[1,1,0,1,0,1,1,0,1,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [3,5,2,8,4,10,11,7,12,9,6,1]
[1,1,0,1,0,1,1,1,0,0,0,0] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [3,5,2,9,4,10,11,12,8,7,6,1]
[1,1,0,1,1,0,0,0,1,0,1,0] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [3,6,2,7,8,5,4,1,10,9,12,11]
[1,1,0,1,1,0,0,0,1,1,0,0] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [3,6,2,7,8,5,4,1,11,12,10,9]
[1,1,0,1,1,0,0,1,0,0,1,0] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [3,6,2,7,9,5,4,10,8,1,12,11]
[1,1,0,1,1,0,0,1,0,1,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [3,6,2,7,9,5,4,11,8,12,10,1]
[1,1,0,1,1,0,0,1,1,0,0,0] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [3,6,2,7,10,5,4,11,12,9,8,1]
[1,1,0,1,1,0,1,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [3,6,2,8,9,5,10,7,4,1,12,11]
[1,1,0,1,1,0,1,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [3,6,2,8,9,5,11,7,4,12,10,1]
[1,1,0,1,1,0,1,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [3,6,2,8,10,5,11,7,12,9,4,1]
[1,1,0,1,1,0,1,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [3,6,2,9,10,5,11,12,8,7,4,1]
[1,1,0,1,1,1,0,0,0,0,1,0] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [3,7,2,8,9,10,6,5,4,1,12,11]
[1,1,0,1,1,1,0,0,0,1,0,0] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [3,7,2,8,9,11,6,5,4,12,10,1]
[1,1,0,1,1,1,0,0,1,0,0,0] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [3,7,2,8,10,11,6,5,12,9,4,1]
[1,1,0,1,1,1,0,1,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [3,7,2,9,10,11,6,12,8,5,4,1]
[1,1,0,1,1,1,1,0,0,0,0,0] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [3,8,2,9,10,11,12,7,6,5,4,1]
[1,1,1,0,0,0,1,0,1,0,1,0] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [4,5,6,3,2,1,8,7,10,9,12,11]
[1,1,1,0,0,0,1,0,1,1,0,0] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [4,5,6,3,2,1,8,7,11,12,10,9]
[1,1,1,0,0,0,1,1,0,0,1,0] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [4,5,6,3,2,1,9,10,8,7,12,11]
[1,1,1,0,0,0,1,1,0,1,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [4,5,6,3,2,1,9,11,8,12,10,7]
[1,1,1,0,0,0,1,1,1,0,0,0] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [4,5,6,3,2,1,10,11,12,9,8,7]
[1,1,1,0,0,1,0,0,1,0,1,0] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [4,5,7,3,2,8,6,1,10,9,12,11]
[1,1,1,0,0,1,0,0,1,1,0,0] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [4,5,7,3,2,8,6,1,11,12,10,9]
[1,1,1,0,0,1,0,1,0,0,1,0] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [4,5,7,3,2,9,6,10,8,1,12,11]
[1,1,1,0,0,1,0,1,0,1,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [4,5,7,3,2,9,6,11,8,12,10,1]
[1,1,1,0,0,1,0,1,1,0,0,0] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [4,5,7,3,2,10,6,11,12,9,8,1]
[1,1,1,0,0,1,1,0,0,0,1,0] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [4,5,8,3,2,9,10,7,6,1,12,11]
[1,1,1,0,0,1,1,0,0,1,0,0] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [4,5,8,3,2,9,11,7,6,12,10,1]
[1,1,1,0,0,1,1,0,1,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [4,5,8,3,2,10,11,7,12,9,6,1]
[1,1,1,0,0,1,1,1,0,0,0,0] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [4,5,9,3,2,10,11,12,8,7,6,1]
[1,1,1,0,1,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [4,6,7,3,8,5,2,1,10,9,12,11]
[1,1,1,0,1,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [4,6,7,3,8,5,2,1,11,12,10,9]
[1,1,1,0,1,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [4,6,7,3,9,5,2,10,8,1,12,11]
[1,1,1,0,1,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [4,6,7,3,9,5,2,11,8,12,10,1]
[1,1,1,0,1,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [4,6,7,3,10,5,2,11,12,9,8,1]
[1,1,1,0,1,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [4,6,8,3,9,5,10,7,2,1,12,11]
[1,1,1,0,1,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [4,6,8,3,9,5,11,7,2,12,10,1]
[1,1,1,0,1,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [4,6,8,3,10,5,11,7,12,9,2,1]
[1,1,1,0,1,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [4,6,9,3,10,5,11,12,8,7,2,1]
[1,1,1,0,1,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [4,7,8,3,9,10,6,5,2,1,12,11]
[1,1,1,0,1,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [4,7,8,3,9,11,6,5,2,12,10,1]
[1,1,1,0,1,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [4,7,8,3,10,11,6,5,12,9,2,1]
[1,1,1,0,1,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [4,7,9,3,10,11,6,12,8,5,2,1]
[1,1,1,0,1,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [4,8,9,3,10,11,12,7,6,5,2,1]
[1,1,1,1,0,0,0,0,1,0,1,0] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [5,6,7,8,4,3,2,1,10,9,12,11]
[1,1,1,1,0,0,0,0,1,1,0,0] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [5,6,7,8,4,3,2,1,11,12,10,9]
[1,1,1,1,0,0,0,1,0,0,1,0] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [5,6,7,9,4,3,2,10,8,1,12,11]
[1,1,1,1,0,0,0,1,0,1,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [5,6,7,9,4,3,2,11,8,12,10,1]
[1,1,1,1,0,0,0,1,1,0,0,0] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [5,6,7,10,4,3,2,11,12,9,8,1]
[1,1,1,1,0,0,1,0,0,0,1,0] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [5,6,8,9,4,3,10,7,2,1,12,11]
[1,1,1,1,0,0,1,0,0,1,0,0] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [5,6,8,9,4,3,11,7,2,12,10,1]
[1,1,1,1,0,0,1,0,1,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [5,6,8,10,4,3,11,7,12,9,2,1]
[1,1,1,1,0,0,1,1,0,0,0,0] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [5,6,9,10,4,3,11,12,8,7,2,1]
[1,1,1,1,0,1,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [5,7,8,9,4,10,6,3,2,1,12,11]
[1,1,1,1,0,1,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [5,7,8,9,4,11,6,3,2,12,10,1]
[1,1,1,1,0,1,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [5,7,8,10,4,11,6,3,12,9,2,1]
[1,1,1,1,0,1,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [5,7,9,10,4,11,6,12,8,3,2,1]
[1,1,1,1,0,1,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [5,8,9,10,4,11,12,7,6,3,2,1]
[1,1,1,1,1,0,0,0,0,0,1,0] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [6,7,8,9,10,5,4,3,2,1,12,11]
[1,1,1,1,1,0,0,0,0,1,0,0] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [6,7,8,9,11,5,4,3,2,12,10,1]
[1,1,1,1,1,0,0,0,1,0,0,0] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [6,7,8,10,11,5,4,3,12,9,2,1]
[1,1,1,1,1,0,0,1,0,0,0,0] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [6,7,9,10,11,5,4,12,8,3,2,1]
[1,1,1,1,1,0,1,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [6,8,9,10,11,5,12,7,4,3,2,1]
[1,1,1,1,1,1,0,0,0,0,0,0] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [7,8,9,10,11,12,6,5,4,3,2,1]
[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)] => [2,1,4,3,6,5,8,7,10,9,13,14,12,11]
[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)] => [2,1,4,3,6,5,8,7,11,12,10,9,14,13]
[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)] => [2,1,4,3,6,5,8,7,11,13,10,14,12,9]
[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)] => [2,1,4,3,6,5,8,7,12,13,14,11,10,9]
[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)] => [2,1,4,3,6,5,9,10,8,7,12,11,14,13]
[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)] => [2,1,4,3,6,5,9,10,8,7,13,14,12,11]
[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)] => [2,1,4,3,6,5,9,11,8,12,10,7,14,13]
[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)] => [2,1,4,3,6,5,9,11,8,13,10,14,12,7]
[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)] => [2,1,4,3,6,5,9,12,8,13,14,11,10,7]
[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)] => [2,1,4,3,6,5,10,11,12,9,8,7,14,13]
[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)] => [2,1,4,3,6,5,10,11,13,9,8,14,12,7]
[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)] => [2,1,4,3,6,5,10,12,13,9,14,11,8,7]
[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)] => [2,1,4,3,6,5,11,12,13,14,10,9,8,7]
[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)] => [2,1,4,3,7,8,6,5,10,9,12,11,14,13]
[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)] => [2,1,4,3,7,8,6,5,10,9,13,14,12,11]
[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)] => [2,1,4,3,7,8,6,5,11,12,10,9,14,13]
[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)] => [2,1,4,3,7,8,6,5,11,13,10,14,12,9]
[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)] => [2,1,4,3,7,8,6,5,12,13,14,11,10,9]
[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)] => [2,1,4,3,7,9,6,10,8,5,12,11,14,13]
[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)] => [2,1,4,3,7,9,6,10,8,5,13,14,12,11]
[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)] => [2,1,4,3,7,9,6,11,8,12,10,5,14,13]
[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)] => [2,1,4,3,7,9,6,11,8,13,10,14,12,5]
[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)] => [2,1,4,3,7,9,6,12,8,13,14,11,10,5]
[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)] => [2,1,4,3,7,10,6,11,12,9,8,5,14,13]
[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)] => [2,1,4,3,7,10,6,11,13,9,8,14,12,5]
[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)] => [2,1,4,3,7,10,6,12,13,9,14,11,8,5]
[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)] => [2,1,4,3,7,11,6,12,13,14,10,9,8,5]
[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)] => [2,1,4,3,8,9,10,7,6,5,12,11,14,13]
[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)] => [2,1,4,3,8,9,10,7,6,5,13,14,12,11]
[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)] => [2,1,4,3,8,9,11,7,6,12,10,5,14,13]
[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)] => [2,1,4,3,8,9,11,7,6,13,10,14,12,5]
[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)] => [2,1,4,3,8,9,12,7,6,13,14,11,10,5]
[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)] => [2,1,4,3,8,10,11,7,12,9,6,5,14,13]
[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)] => [2,1,4,3,8,10,11,7,13,9,6,14,12,5]
[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)] => [2,1,4,3,8,10,12,7,13,9,14,11,6,5]
[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)] => [2,1,4,3,8,11,12,7,13,14,10,9,6,5]
[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)] => [2,1,4,3,9,10,11,12,8,7,6,5,14,13]
[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)] => [2,1,4,3,9,10,11,13,8,7,6,14,12,5]
[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)] => [2,1,4,3,9,10,12,13,8,7,14,11,6,5]
[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)] => [2,1,4,3,9,11,12,13,8,14,10,7,6,5]
[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)] => [2,1,4,3,10,11,12,13,14,9,8,7,6,5]
[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)] => [2,1,5,6,4,3,8,7,10,9,12,11,14,13]
[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)] => [2,1,5,6,4,3,8,7,10,9,13,14,12,11]
[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)] => [2,1,5,6,4,3,8,7,11,12,10,9,14,13]
[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)] => [2,1,5,6,4,3,8,7,11,13,10,14,12,9]
[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)] => [2,1,5,6,4,3,8,7,12,13,14,11,10,9]
[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)] => [2,1,5,6,4,3,9,10,8,7,12,11,14,13]
[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)] => [2,1,5,6,4,3,9,10,8,7,13,14,12,11]
[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)] => [2,1,5,6,4,3,9,11,8,12,10,7,14,13]
[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)] => [2,1,5,6,4,3,9,11,8,13,10,14,12,7]
[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)] => [2,1,5,6,4,3,9,12,8,13,14,11,10,7]
[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)] => [2,1,5,6,4,3,10,11,12,9,8,7,14,13]
[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)] => [2,1,5,6,4,3,10,11,13,9,8,14,12,7]
[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)] => [2,1,5,6,4,3,10,12,13,9,14,11,8,7]
[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)] => [2,1,5,6,4,3,11,12,13,14,10,9,8,7]
[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)] => [2,1,5,7,4,8,6,3,10,9,12,11,14,13]
[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)] => [2,1,5,7,4,8,6,3,10,9,13,14,12,11]
[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)] => [2,1,5,7,4,8,6,3,11,12,10,9,14,13]
[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)] => [2,1,5,7,4,8,6,3,11,13,10,14,12,9]
[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)] => [2,1,5,7,4,8,6,3,12,13,14,11,10,9]
[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)] => [2,1,5,7,4,9,6,10,8,3,12,11,14,13]
[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)] => [2,1,5,7,4,9,6,10,8,3,13,14,12,11]
[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)] => [2,1,5,7,4,9,6,11,8,12,10,3,14,13]
[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)] => [2,1,5,7,4,9,6,11,8,13,10,14,12,3]
[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)] => [2,1,5,7,4,9,6,12,8,13,14,11,10,3]
[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)] => [2,1,5,7,4,10,6,11,12,9,8,3,14,13]
[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)] => [2,1,5,7,4,10,6,11,13,9,8,14,12,3]
[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)] => [2,1,5,7,4,10,6,12,13,9,14,11,8,3]
[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)] => [2,1,5,7,4,11,6,12,13,14,10,9,8,3]
[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)] => [2,1,5,8,4,9,10,7,6,3,12,11,14,13]
[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)] => [2,1,5,8,4,9,10,7,6,3,13,14,12,11]
[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)] => [2,1,5,8,4,9,11,7,6,12,10,3,14,13]
[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)] => [2,1,5,8,4,9,11,7,6,13,10,14,12,3]
[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)] => [2,1,5,8,4,9,12,7,6,13,14,11,10,3]
[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)] => [2,1,5,8,4,10,11,7,12,9,6,3,14,13]
[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)] => [2,1,5,8,4,10,11,7,13,9,6,14,12,3]
[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)] => [2,1,5,8,4,10,12,7,13,9,14,11,6,3]
[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)] => [2,1,5,8,4,11,12,7,13,14,10,9,6,3]
[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)] => [2,1,5,9,4,10,11,12,8,7,6,3,14,13]
[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)] => [2,1,5,9,4,10,11,13,8,7,6,14,12,3]
[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)] => [2,1,5,9,4,10,12,13,8,7,14,11,6,3]
[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)] => [2,1,5,9,4,11,12,13,8,14,10,7,6,3]
[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)] => [2,1,5,10,4,11,12,13,14,9,8,7,6,3]
[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)] => [2,1,6,7,8,5,4,3,10,9,12,11,14,13]
[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)] => [2,1,6,7,8,5,4,3,10,9,13,14,12,11]
[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)] => [2,1,6,7,8,5,4,3,11,12,10,9,14,13]
[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)] => [2,1,6,7,8,5,4,3,11,13,10,14,12,9]
[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)] => [2,1,6,7,8,5,4,3,12,13,14,11,10,9]
[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)] => [2,1,6,7,9,5,4,10,8,3,12,11,14,13]
[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)] => [2,1,6,7,9,5,4,10,8,3,13,14,12,11]
[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)] => [2,1,6,7,9,5,4,11,8,12,10,3,14,13]
[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)] => [2,1,6,7,9,5,4,11,8,13,10,14,12,3]
[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)] => [2,1,6,7,9,5,4,12,8,13,14,11,10,3]
[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)] => [2,1,6,7,10,5,4,11,12,9,8,3,14,13]
[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)] => [2,1,6,7,10,5,4,11,13,9,8,14,12,3]
[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)] => [2,1,6,7,10,5,4,12,13,9,14,11,8,3]
[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)] => [2,1,6,7,11,5,4,12,13,14,10,9,8,3]
[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)] => [2,1,6,8,9,5,10,7,4,3,12,11,14,13]
[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)] => [2,1,6,8,9,5,10,7,4,3,13,14,12,11]
[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)] => [2,1,6,8,9,5,11,7,4,12,10,3,14,13]
[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)] => [2,1,6,8,9,5,11,7,4,13,10,14,12,3]
[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)] => [2,1,6,8,9,5,12,7,4,13,14,11,10,3]
[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)] => [2,1,6,8,10,5,11,7,12,9,4,3,14,13]
[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)] => [2,1,6,8,10,5,11,7,13,9,4,14,12,3]
[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)] => [2,1,6,8,10,5,12,7,13,9,14,11,4,3]
[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)] => [2,1,6,8,11,5,12,7,13,14,10,9,4,3]
[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)] => [2,1,6,9,10,5,11,12,8,7,4,3,14,13]
[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)] => [2,1,6,9,10,5,11,13,8,7,4,14,12,3]
[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)] => [2,1,6,9,10,5,12,13,8,7,14,11,4,3]
[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)] => [2,1,6,9,11,5,12,13,8,14,10,7,4,3]
[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)] => [2,1,6,10,11,5,12,13,14,9,8,7,4,3]
[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)] => [2,1,7,8,9,10,6,5,4,3,12,11,14,13]
[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)] => [2,1,7,8,9,10,6,5,4,3,13,14,12,11]
[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)] => [2,1,7,8,9,11,6,5,4,12,10,3,14,13]
[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)] => [2,1,7,8,9,11,6,5,4,13,10,14,12,3]
[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)] => [2,1,7,8,9,12,6,5,4,13,14,11,10,3]
[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)] => [2,1,7,8,10,11,6,5,12,9,4,3,14,13]
[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)] => [2,1,7,8,10,11,6,5,13,9,4,14,12,3]
[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)] => [2,1,7,8,10,12,6,5,13,9,14,11,4,3]
[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)] => [2,1,7,8,11,12,6,5,13,14,10,9,4,3]
[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)] => [2,1,7,9,10,11,6,12,8,5,4,3,14,13]
[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)] => [2,1,7,9,10,11,6,13,8,5,4,14,12,3]
[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)] => [2,1,7,9,10,12,6,13,8,5,14,11,4,3]
[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)] => [2,1,7,9,11,12,6,13,8,14,10,5,4,3]
[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)] => [2,1,7,10,11,12,6,13,14,9,8,5,4,3]
[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)] => [2,1,8,9,10,11,12,7,6,5,4,3,14,13]
[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)] => [2,1,8,9,10,11,13,7,6,5,4,14,12,3]
[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)] => [2,1,8,9,10,12,13,7,6,5,14,11,4,3]
[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)] => [2,1,8,9,11,12,13,7,6,14,10,5,4,3]
[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)] => [2,1,8,10,11,12,13,7,14,9,6,5,4,3]
[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)] => [2,1,9,10,11,12,13,14,8,7,6,5,4,3]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,14,13]
[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)] => [3,4,2,1,6,5,8,7,10,9,13,14,12,11]
[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)] => [3,4,2,1,6,5,8,7,11,12,10,9,14,13]
[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)] => [3,4,2,1,6,5,8,7,11,13,10,14,12,9]
[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)] => [3,4,2,1,6,5,8,7,12,13,14,11,10,9]
[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)] => [3,4,2,1,6,5,9,10,8,7,12,11,14,13]
[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)] => [3,4,2,1,6,5,9,10,8,7,13,14,12,11]
[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)] => [3,4,2,1,6,5,9,11,8,12,10,7,14,13]
[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)] => [3,4,2,1,6,5,9,11,8,13,10,14,12,7]
[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)] => [3,4,2,1,6,5,9,12,8,13,14,11,10,7]
[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)] => [3,4,2,1,6,5,10,11,12,9,8,7,14,13]
[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)] => [3,4,2,1,6,5,10,11,13,9,8,14,12,7]
[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)] => [3,4,2,1,6,5,10,12,13,9,14,11,8,7]
[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)] => [3,4,2,1,6,5,11,12,13,14,10,9,8,7]
[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)] => [3,4,2,1,7,8,6,5,10,9,12,11,14,13]
[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)] => [3,4,2,1,7,8,6,5,10,9,13,14,12,11]
[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)] => [3,4,2,1,7,8,6,5,11,12,10,9,14,13]
[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)] => [3,4,2,1,7,8,6,5,11,13,10,14,12,9]
[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)] => [3,4,2,1,7,8,6,5,12,13,14,11,10,9]
[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)] => [3,4,2,1,7,9,6,10,8,5,12,11,14,13]
[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)] => [3,4,2,1,7,9,6,10,8,5,13,14,12,11]
[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)] => [3,4,2,1,7,9,6,11,8,12,10,5,14,13]
[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)] => [3,4,2,1,7,9,6,11,8,13,10,14,12,5]
[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)] => [3,4,2,1,7,9,6,12,8,13,14,11,10,5]
[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)] => [3,4,2,1,7,10,6,11,12,9,8,5,14,13]
[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)] => [3,4,2,1,7,10,6,11,13,9,8,14,12,5]
[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)] => [3,4,2,1,7,11,6,12,13,14,10,9,8,5]
[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)] => [3,4,2,1,8,9,10,7,6,5,12,11,14,13]
[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)] => [3,4,2,1,8,9,10,7,6,5,13,14,12,11]
[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)] => [3,4,2,1,8,9,11,7,6,12,10,5,14,13]
[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)] => [3,4,2,1,8,9,11,7,6,13,10,14,12,5]
[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)] => [3,4,2,1,8,9,12,7,6,13,14,11,10,5]
[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)] => [3,4,2,1,8,10,11,7,12,9,6,5,14,13]
[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)] => [3,4,2,1,8,10,11,7,13,9,6,14,12,5]
[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)] => [3,4,2,1,8,10,12,7,13,9,14,11,6,5]
[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)] => [3,4,2,1,8,11,12,7,13,14,10,9,6,5]
[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)] => [3,4,2,1,9,10,11,12,8,7,6,5,14,13]
[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)] => [3,4,2,1,9,10,11,13,8,7,6,14,12,5]
[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)] => [3,4,2,1,9,10,12,13,8,7,14,11,6,5]
[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)] => [3,4,2,1,9,11,12,13,8,14,10,7,6,5]
[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)] => [3,4,2,1,10,11,12,13,14,9,8,7,6,5]
[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)] => [3,5,2,6,4,1,8,7,10,9,12,11,14,13]
[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)] => [3,5,2,6,4,1,8,7,10,9,13,14,12,11]
[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)] => [3,5,2,6,4,1,8,7,11,12,10,9,14,13]
[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)] => [3,5,2,6,4,1,8,7,11,13,10,14,12,9]
[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)] => [3,5,2,6,4,1,8,7,12,13,14,11,10,9]
[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)] => [3,5,2,6,4,1,9,10,8,7,12,11,14,13]
[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)] => [3,5,2,6,4,1,9,10,8,7,13,14,12,11]
[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)] => [3,5,2,6,4,1,9,11,8,12,10,7,14,13]
[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)] => [3,5,2,6,4,1,9,11,8,13,10,14,12,7]
[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)] => [3,5,2,6,4,1,9,12,8,13,14,11,10,7]
[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)] => [3,5,2,6,4,1,10,11,12,9,8,7,14,13]
[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)] => [3,5,2,6,4,1,10,11,13,9,8,14,12,7]
[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)] => [3,5,2,6,4,1,10,12,13,9,14,11,8,7]
[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)] => [3,5,2,6,4,1,11,12,13,14,10,9,8,7]
[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)] => [3,5,2,7,4,8,6,1,10,9,12,11,14,13]
[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)] => [3,5,2,7,4,8,6,1,10,9,13,14,12,11]
[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)] => [3,5,2,7,4,8,6,1,11,12,10,9,14,13]
[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)] => [3,5,2,7,4,8,6,1,11,13,10,14,12,9]
[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)] => [3,5,2,7,4,8,6,1,12,13,14,11,10,9]
[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)] => [3,5,2,7,4,9,6,10,8,1,12,11,14,13]
[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)] => [3,5,2,7,4,9,6,10,8,1,13,14,12,11]
[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)] => [3,5,2,7,4,9,6,11,8,12,10,1,14,13]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,14,12,1]
[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)] => [3,5,2,7,4,9,6,12,8,13,14,11,10,1]
[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)] => [3,5,2,7,4,10,6,11,12,9,8,1,14,13]
[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)] => [3,5,2,7,4,10,6,11,13,9,8,14,12,1]
[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)] => [3,5,2,7,4,10,6,12,13,9,14,11,8,1]
[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)] => [3,5,2,7,4,11,6,12,13,14,10,9,8,1]
[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)] => [3,5,2,8,4,9,10,7,6,1,12,11,14,13]
[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)] => [3,5,2,8,4,9,10,7,6,1,13,14,12,11]
[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)] => [3,5,2,8,4,9,11,7,6,12,10,1,14,13]
[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)] => [3,5,2,8,4,9,11,7,6,13,10,14,12,1]
[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)] => [3,5,2,8,4,9,12,7,6,13,14,11,10,1]
[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)] => [3,5,2,8,4,10,11,7,12,9,6,1,14,13]
[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)] => [3,5,2,8,4,10,11,7,13,9,6,14,12,1]
[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)] => [3,5,2,8,4,10,12,7,13,9,14,11,6,1]
[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)] => [3,5,2,8,4,11,12,7,13,14,10,9,6,1]
[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)] => [3,5,2,9,4,10,11,12,8,7,6,1,14,13]
[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)] => [3,5,2,9,4,10,11,13,8,7,6,14,12,1]
[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)] => [3,5,2,9,4,10,12,13,8,7,14,11,6,1]
[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)] => [3,5,2,9,4,11,12,13,8,14,10,7,6,1]
[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)] => [3,5,2,10,4,11,12,13,14,9,8,7,6,1]
[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)] => [3,6,2,7,8,5,4,1,10,9,12,11,14,13]
[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)] => [3,6,2,7,8,5,4,1,10,9,13,14,12,11]
[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)] => [3,6,2,7,8,5,4,1,11,12,10,9,14,13]
[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)] => [3,6,2,7,8,5,4,1,11,13,10,14,12,9]
[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)] => [3,6,2,7,8,5,4,1,12,13,14,11,10,9]
[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)] => [3,6,2,7,9,5,4,10,8,1,12,11,14,13]
[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)] => [3,6,2,7,9,5,4,10,8,1,13,14,12,11]
[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)] => [3,6,2,7,9,5,4,11,8,12,10,1,14,13]
[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)] => [3,6,2,7,9,5,4,11,8,13,10,14,12,1]
[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)] => [3,6,2,7,9,5,4,12,8,13,14,11,10,1]
[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)] => [3,6,2,7,10,5,4,11,12,9,8,1,14,13]
[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)] => [3,6,2,7,10,5,4,11,13,9,8,14,12,1]
[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)] => [3,6,2,7,10,5,4,12,13,9,14,11,8,1]
[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)] => [3,6,2,7,11,5,4,12,13,14,10,9,8,1]
[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)] => [3,6,2,8,9,5,10,7,4,1,12,11,14,13]
[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)] => [3,6,2,8,9,5,10,7,4,1,13,14,12,11]
[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)] => [3,6,2,8,9,5,11,7,4,12,10,1,14,13]
[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)] => [3,6,2,8,9,5,11,7,4,13,10,14,12,1]
[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)] => [3,6,2,8,9,5,12,7,4,13,14,11,10,1]
[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)] => [3,6,2,8,10,5,11,7,12,9,4,1,14,13]
[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)] => [3,6,2,8,10,5,11,7,13,9,4,14,12,1]
[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)] => [3,6,2,8,10,5,12,7,13,9,14,11,4,1]
[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)] => [3,6,2,8,11,5,12,7,13,14,10,9,4,1]
[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)] => [3,6,2,9,10,5,11,12,8,7,4,1,14,13]
[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)] => [3,6,2,9,10,5,11,13,8,7,4,14,12,1]
[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)] => [3,6,2,9,10,5,12,13,8,7,14,11,4,1]
[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)] => [3,6,2,9,11,5,12,13,8,14,10,7,4,1]
[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)] => [3,6,2,10,11,5,12,13,14,9,8,7,4,1]
[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)] => [3,7,2,8,9,10,6,5,4,1,12,11,14,13]
[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)] => [3,7,2,8,9,10,6,5,4,1,13,14,12,11]
[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)] => [3,7,2,8,9,11,6,5,4,12,10,1,14,13]
[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)] => [3,7,2,8,9,11,6,5,4,13,10,14,12,1]
[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)] => [3,7,2,8,9,12,6,5,4,13,14,11,10,1]
[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)] => [3,7,2,8,10,11,6,5,12,9,4,1,14,13]
[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)] => [3,7,2,8,10,11,6,5,13,9,4,14,12,1]
[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)] => [3,7,2,8,10,12,6,5,13,9,14,11,4,1]
[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)] => [3,7,2,8,11,12,6,5,13,14,10,9,4,1]
[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)] => [3,7,2,9,10,11,6,12,8,5,4,1,14,13]
[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)] => [3,7,2,9,10,11,6,13,8,5,4,14,12,1]
[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)] => [3,7,2,9,10,12,6,13,8,5,14,11,4,1]
[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)] => [3,7,2,9,11,12,6,13,8,14,10,5,4,1]
[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)] => [3,7,2,10,11,12,6,13,14,9,8,5,4,1]
[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)] => [3,8,2,9,10,11,12,7,6,5,4,1,14,13]
[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)] => [3,8,2,9,10,11,13,7,6,5,4,14,12,1]
[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)] => [3,8,2,9,10,12,13,7,6,5,14,11,4,1]
[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)] => [3,8,2,9,11,12,13,7,6,14,10,5,4,1]
[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)] => [3,8,2,10,11,12,13,7,14,9,6,5,4,1]
[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)] => [3,9,2,10,11,12,13,14,8,7,6,5,4,1]
[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)] => [4,5,6,3,2,1,8,7,10,9,12,11,14,13]
[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)] => [4,5,6,3,2,1,8,7,10,9,13,14,12,11]
[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)] => [4,5,6,3,2,1,8,7,11,12,10,9,14,13]
[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)] => [4,5,6,3,2,1,8,7,11,13,10,14,12,9]
[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)] => [4,5,6,3,2,1,8,7,12,13,14,11,10,9]
[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)] => [4,5,6,3,2,1,9,10,8,7,12,11,14,13]
[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)] => [4,5,6,3,2,1,9,10,8,7,13,14,12,11]
[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)] => [4,5,6,3,2,1,9,11,8,12,10,7,14,13]
[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)] => [4,5,6,3,2,1,9,11,8,13,10,14,12,7]
[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)] => [4,5,6,3,2,1,9,12,8,13,14,11,10,7]
[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)] => [4,5,6,3,2,1,10,11,12,9,8,7,14,13]
[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)] => [4,5,6,3,2,1,10,11,13,9,8,14,12,7]
[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)] => [4,5,6,3,2,1,10,12,13,9,14,11,8,7]
[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)] => [4,5,6,3,2,1,11,12,13,14,10,9,8,7]
[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)] => [4,5,7,3,2,8,6,1,10,9,12,11,14,13]
[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)] => [4,5,7,3,2,8,6,1,10,9,13,14,12,11]
[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)] => [4,5,7,3,2,8,6,1,11,12,10,9,14,13]
[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)] => [4,5,7,3,2,8,6,1,11,13,10,14,12,9]
[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)] => [4,5,7,3,2,8,6,1,12,13,14,11,10,9]
[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)] => [4,5,7,3,2,9,6,10,8,1,12,11,14,13]
[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)] => [4,5,7,3,2,9,6,10,8,1,13,14,12,11]
[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)] => [4,5,7,3,2,9,6,11,8,12,10,1,14,13]
[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)] => [4,5,7,3,2,9,6,11,8,13,10,14,12,1]
[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)] => [4,5,7,3,2,9,6,12,8,13,14,11,10,1]
[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)] => [4,5,7,3,2,10,6,11,12,9,8,1,14,13]
[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)] => [4,5,7,3,2,10,6,11,13,9,8,14,12,1]
[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)] => [4,5,7,3,2,10,6,12,13,9,14,11,8,1]
[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)] => [4,5,7,3,2,11,6,12,13,14,10,9,8,1]
[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)] => [4,5,8,3,2,9,10,7,6,1,12,11,14,13]
[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)] => [4,5,8,3,2,9,10,7,6,1,13,14,12,11]
[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)] => [4,5,8,3,2,9,11,7,6,12,10,1,14,13]
[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)] => [4,5,8,3,2,9,11,7,6,13,10,14,12,1]
[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)] => [4,5,8,3,2,9,12,7,6,13,14,11,10,1]
[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)] => [4,5,8,3,2,10,11,7,12,9,6,1,14,13]
[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)] => [4,5,8,3,2,10,11,7,13,9,6,14,12,1]
[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)] => [4,5,8,3,2,10,12,7,13,9,14,11,6,1]
[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)] => [4,5,8,3,2,11,12,7,13,14,10,9,6,1]
[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)] => [4,5,9,3,2,10,11,12,8,7,6,1,14,13]
[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)] => [4,5,9,3,2,10,11,13,8,7,6,14,12,1]
[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)] => [4,5,9,3,2,10,12,13,8,7,14,11,6,1]
[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)] => [4,5,9,3,2,11,12,13,8,14,10,7,6,1]
[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)] => [4,5,10,3,2,11,12,13,14,9,8,7,6,1]
[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)] => [4,6,7,3,8,5,2,1,10,9,12,11,14,13]
[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)] => [4,6,7,3,8,5,2,1,10,9,13,14,12,11]
[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)] => [4,6,7,3,8,5,2,1,11,12,10,9,14,13]
[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)] => [4,6,7,3,8,5,2,1,11,13,10,14,12,9]
[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)] => [4,6,7,3,8,5,2,1,12,13,14,11,10,9]
[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)] => [4,6,7,3,9,5,2,10,8,1,12,11,14,13]
[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)] => [4,6,7,3,9,5,2,10,8,1,13,14,12,11]
[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)] => [4,6,7,3,9,5,2,11,8,12,10,1,14,13]
[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)] => [4,6,7,3,9,5,2,11,8,13,10,14,12,1]
[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)] => [4,6,7,3,9,5,2,12,8,13,14,11,10,1]
[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)] => [4,6,7,3,10,5,2,11,12,9,8,1,14,13]
[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)] => [4,6,7,3,10,5,2,11,13,9,8,14,12,1]
[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)] => [4,6,7,3,10,5,2,12,13,9,14,11,8,1]
[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)] => [4,6,7,3,11,5,2,12,13,14,10,9,8,1]
[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)] => [4,6,8,3,9,5,10,7,2,1,12,11,14,13]
[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)] => [4,6,8,3,9,5,10,7,2,1,13,14,12,11]
[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)] => [4,6,8,3,9,5,11,7,2,12,10,1,14,13]
[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)] => [4,6,8,3,9,5,11,7,2,13,10,14,12,1]
[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)] => [4,6,8,3,9,5,12,7,2,13,14,11,10,1]
[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)] => [4,6,8,3,10,5,11,7,12,9,2,1,14,13]
[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)] => [4,6,8,3,10,5,11,7,13,9,2,14,12,1]
[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)] => [4,6,8,3,10,5,12,7,13,9,14,11,2,1]
[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)] => [4,6,8,3,11,5,12,7,13,14,10,9,2,1]
[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)] => [4,6,9,3,10,5,11,12,8,7,2,1,14,13]
[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)] => [4,6,9,3,10,5,11,13,8,7,2,14,12,1]
[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)] => [4,6,9,3,10,5,12,13,8,7,14,11,2,1]
[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)] => [4,6,9,3,11,5,12,13,8,14,10,7,2,1]
[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)] => [4,6,10,3,11,5,12,13,14,9,8,7,2,1]
[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)] => [4,7,8,3,9,10,6,5,2,1,12,11,14,13]
[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)] => [4,7,8,3,9,10,6,5,2,1,13,14,12,11]
[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)] => [4,7,8,3,9,11,6,5,2,12,10,1,14,13]
[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)] => [4,7,8,3,9,11,6,5,2,13,10,14,12,1]
[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)] => [4,7,8,3,9,12,6,5,2,13,14,11,10,1]
[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)] => [4,7,8,3,10,11,6,5,12,9,2,1,14,13]
[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)] => [4,7,8,3,10,11,6,5,13,9,2,14,12,1]
[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)] => [4,7,8,3,10,12,6,5,13,9,14,11,2,1]
[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)] => [4,7,8,3,11,12,6,5,13,14,10,9,2,1]
[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)] => [4,7,9,3,10,11,6,12,8,5,2,1,14,13]
[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)] => [4,7,9,3,10,11,6,13,8,5,2,14,12,1]
[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)] => [4,7,9,3,10,12,6,13,8,5,14,11,2,1]
[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)] => [4,7,9,3,11,12,6,13,8,14,10,5,2,1]
[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)] => [4,7,10,3,11,12,6,13,14,9,8,5,2,1]
[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)] => [4,8,9,3,10,11,12,7,6,5,2,1,14,13]
[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)] => [4,8,9,3,10,11,13,7,6,5,2,14,12,1]
[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)] => [4,8,9,3,10,12,13,7,6,5,14,11,2,1]
[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)] => [4,8,9,3,11,12,13,7,6,14,10,5,2,1]
[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)] => [4,8,10,3,11,12,13,7,14,9,6,5,2,1]
[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)] => [4,9,10,3,11,12,13,14,8,7,6,5,2,1]
[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)] => [5,6,7,8,4,3,2,1,10,9,12,11,14,13]
[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)] => [5,6,7,8,4,3,2,1,10,9,13,14,12,11]
[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)] => [5,6,7,8,4,3,2,1,11,12,10,9,14,13]
[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)] => [5,6,7,8,4,3,2,1,11,13,10,14,12,9]
[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)] => [5,6,7,8,4,3,2,1,12,13,14,11,10,9]
[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)] => [5,6,7,9,4,3,2,10,8,1,12,11,14,13]
[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)] => [5,6,7,9,4,3,2,10,8,1,13,14,12,11]
[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)] => [5,6,7,9,4,3,2,11,8,12,10,1,14,13]
[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)] => [5,6,7,9,4,3,2,11,8,13,10,14,12,1]
[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)] => [5,6,7,9,4,3,2,12,8,13,14,11,10,1]
[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)] => [5,6,7,10,4,3,2,11,12,9,8,1,14,13]
[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)] => [5,6,7,10,4,3,2,11,13,9,8,14,12,1]
[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)] => [5,6,7,10,4,3,2,12,13,9,14,11,8,1]
[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)] => [5,6,7,11,4,3,2,12,13,14,10,9,8,1]
[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)] => [5,6,8,9,4,3,10,7,2,1,12,11,14,13]
[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)] => [5,6,8,9,4,3,10,7,2,1,13,14,12,11]
[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)] => [5,6,8,9,4,3,11,7,2,12,10,1,14,13]
[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)] => [5,6,8,9,4,3,11,7,2,13,10,14,12,1]
[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)] => [5,6,8,9,4,3,12,7,2,13,14,11,10,1]
[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)] => [5,6,8,10,4,3,11,7,12,9,2,1,14,13]
[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)] => [5,6,8,10,4,3,11,7,13,9,2,14,12,1]
[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)] => [5,6,8,10,4,3,12,7,13,9,14,11,2,1]
[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)] => [5,6,8,11,4,3,12,7,13,14,10,9,2,1]
[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)] => [5,6,9,10,4,3,11,12,8,7,2,1,14,13]
[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)] => [5,6,9,10,4,3,11,13,8,7,2,14,12,1]
[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)] => [5,6,9,10,4,3,12,13,8,7,14,11,2,1]
[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)] => [5,6,9,11,4,3,12,13,8,14,10,7,2,1]
[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)] => [5,6,10,11,4,3,12,13,14,9,8,7,2,1]
[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)] => [5,7,8,9,4,10,6,3,2,1,12,11,14,13]
[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)] => [5,7,8,9,4,10,6,3,2,1,13,14,12,11]
[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)] => [5,7,8,9,4,11,6,3,2,12,10,1,14,13]
[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)] => [5,7,8,9,4,11,6,3,2,13,10,14,12,1]
[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)] => [5,7,8,9,4,12,6,3,2,13,14,11,10,1]
[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)] => [5,7,8,10,4,11,6,3,12,9,2,1,14,13]
[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)] => [5,7,8,10,4,11,6,3,13,9,2,14,12,1]
[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)] => [5,7,8,10,4,12,6,3,13,9,14,11,2,1]
[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)] => [5,7,8,11,4,12,6,3,13,14,10,9,2,1]
[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)] => [5,7,9,10,4,11,6,12,8,3,2,1,14,13]
[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)] => [5,7,9,10,4,11,6,13,8,3,2,14,12,1]
[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)] => [5,7,9,10,4,12,6,13,8,3,14,11,2,1]
[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)] => [5,7,9,11,4,12,6,13,8,14,10,3,2,1]
[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)] => [5,7,10,11,4,12,6,13,14,9,8,3,2,1]
[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)] => [5,8,9,10,4,11,12,7,6,3,2,1,14,13]
[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)] => [5,8,9,10,4,11,13,7,6,3,2,14,12,1]
[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)] => [5,8,9,10,4,12,13,7,6,3,14,11,2,1]
[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)] => [5,8,9,11,4,12,13,7,6,14,10,3,2,1]
[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)] => [5,8,10,11,4,12,13,7,14,9,6,3,2,1]
[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)] => [5,9,10,11,4,12,13,14,8,7,6,3,2,1]
[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)] => [6,7,8,9,10,5,4,3,2,1,12,11,14,13]
[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)] => [6,7,8,9,10,5,4,3,2,1,13,14,12,11]
[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)] => [6,7,8,9,11,5,4,3,2,12,10,1,14,13]
[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)] => [6,7,8,9,11,5,4,3,2,13,10,14,12,1]
[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)] => [6,7,8,9,12,5,4,3,2,13,14,11,10,1]
[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)] => [6,7,8,10,11,5,4,3,12,9,2,1,14,13]
[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)] => [6,7,8,10,11,5,4,3,13,9,2,14,12,1]
[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)] => [6,7,8,10,12,5,4,3,13,9,14,11,2,1]
[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)] => [6,7,8,11,12,5,4,3,13,14,10,9,2,1]
[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)] => [6,7,9,10,11,5,4,12,8,3,2,1,14,13]
[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)] => [6,7,9,10,11,5,4,13,8,3,2,14,12,1]
[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)] => [6,7,9,10,12,5,4,13,8,3,14,11,2,1]
[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)] => [6,7,9,11,12,5,4,13,8,14,10,3,2,1]
[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)] => [6,7,10,11,12,5,4,13,14,9,8,3,2,1]
[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)] => [6,8,9,10,11,5,12,7,4,3,2,1,14,13]
[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)] => [6,8,9,10,11,5,13,7,4,3,2,14,12,1]
[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)] => [6,8,9,10,12,5,13,7,4,3,14,11,2,1]
[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)] => [6,8,9,11,12,5,13,7,4,14,10,3,2,1]
[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)] => [6,8,10,11,12,5,13,7,14,9,4,3,2,1]
[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)] => [6,9,10,11,12,5,13,14,8,7,4,3,2,1]
[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)] => [7,8,9,10,11,12,6,5,4,3,2,1,14,13]
[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)] => [7,8,9,10,11,13,6,5,4,3,2,14,12,1]
[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)] => [7,8,9,10,12,13,6,5,4,3,14,11,2,1]
[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)] => [7,8,9,11,12,13,6,5,4,14,10,3,2,1]
[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)] => [7,8,10,11,12,13,6,5,14,9,4,3,2,1]
[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)] => [7,9,10,11,12,13,6,14,8,5,4,3,2,1]
[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)] => [8,9,10,11,12,13,14,7,6,5,4,3,2,1]
[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)] => [2,1,4,3,6,5,8,7,10,9,12,11,15,16,14,13]
[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)] => [2,1,4,3,6,5,8,7,10,9,13,15,12,16,14,11]
[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)] => [2,1,4,3,6,5,8,7,10,9,14,15,16,13,12,11]
[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)] => [2,1,4,3,6,5,8,7,11,12,10,9,14,13,16,15]
[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)] => [2,1,4,3,6,5,8,7,11,12,10,9,15,16,14,13]
[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)] => [2,1,4,3,6,5,8,7,11,13,10,14,12,9,16,15]
[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)] => [2,1,4,3,6,5,8,7,11,13,10,15,12,16,14,9]
[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)] => [2,1,4,3,6,5,8,7,11,14,10,15,16,13,12,9]
[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)] => [2,1,4,3,6,5,8,7,12,13,14,11,10,9,16,15]
[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)] => [2,1,4,3,6,5,8,7,12,13,15,11,10,16,14,9]
[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)] => [2,1,4,3,6,5,8,7,12,14,15,11,16,13,10,9]
[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)] => [2,1,4,3,6,5,8,7,13,14,15,16,12,11,10,9]
[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)] => [2,1,4,3,6,5,9,10,8,7,12,11,15,16,14,13]
[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)] => [2,1,4,3,6,5,9,11,8,13,10,15,12,16,14,7]
[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)] => [2,1,4,3,6,5,10,11,13,9,8,15,12,16,14,7]
[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)] => [2,1,4,3,6,5,10,12,13,9,15,11,8,16,14,7]
[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)] => [2,1,4,3,6,5,11,12,13,15,10,9,8,16,14,7]
[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)] => [2,1,4,3,6,5,12,13,14,15,16,11,10,9,8,7]
[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)] => [2,1,4,3,7,8,6,5,10,9,12,11,15,16,14,13]
[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)] => [2,1,4,3,7,8,6,5,10,9,13,15,12,16,14,11]
[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)] => [2,1,4,3,7,8,6,5,11,13,10,15,12,16,14,9]
[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)] => [2,1,4,3,7,9,6,11,8,13,10,15,12,16,14,5]
[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)] => [2,1,4,3,7,9,6,11,8,14,10,15,16,13,12,5]
[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)] => [2,1,4,3,8,9,10,7,6,5,12,11,14,13,16,15]
[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)] => [2,1,4,3,8,9,11,7,6,13,10,15,12,16,14,5]
[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)] => [2,1,4,3,8,10,11,7,13,9,6,15,12,16,14,5]
[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)] => [2,1,4,3,8,10,12,7,13,9,15,11,6,16,14,5]
[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)] => [2,1,4,3,9,10,11,13,8,7,6,15,12,16,14,5]
[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)] => [2,1,4,3,9,11,13,14,8,15,10,16,12,7,6,5]
[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)] => [2,1,4,3,10,11,12,13,14,9,8,7,6,5,16,15]
[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)] => [2,1,4,3,10,11,13,14,15,9,8,16,12,7,6,5]
[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)] => [2,1,4,3,10,12,13,14,15,9,16,11,8,7,6,5]
[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)] => [2,1,4,3,11,12,13,14,15,16,10,9,8,7,6,5]
[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)] => [2,1,5,6,4,3,8,7,10,9,12,11,15,16,14,13]
[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)] => [2,1,5,6,4,3,8,7,10,9,13,15,12,16,14,11]
[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)] => [2,1,5,7,4,8,6,3,10,9,12,11,15,16,14,13]
[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)] => [2,1,5,7,4,8,6,3,10,9,13,15,12,16,14,11]
[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)] => [2,1,5,7,4,8,6,3,13,14,15,16,12,11,10,9]
[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)] => [2,1,5,7,4,9,6,11,8,13,10,15,12,16,14,3]
[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)] => [2,1,5,7,4,9,6,11,8,14,10,15,16,13,12,3]
[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)] => [2,1,6,7,8,5,4,3,10,9,12,11,14,13,16,15]
[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)] => [2,1,6,7,8,5,4,3,10,9,13,15,12,16,14,11]
[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)] => [2,1,6,7,9,5,4,11,8,13,10,15,12,16,14,3]
[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)] => [2,1,6,8,9,5,10,7,4,3,12,11,14,13,16,15]
[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)] => [2,1,6,8,9,5,10,7,4,3,14,15,16,13,12,11]
[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)] => [2,1,6,8,9,5,11,7,4,13,10,14,12,3,16,15]
[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)] => [2,1,6,8,9,5,11,7,4,13,10,15,12,16,14,3]
[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)] => [2,1,6,8,10,5,11,7,12,9,4,3,14,13,16,15]
[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)] => [2,1,6,8,10,5,12,7,13,9,14,11,4,3,16,15]
[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)] => [2,1,6,8,10,5,12,7,13,9,15,11,4,16,14,3]
[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)] => [2,1,6,8,10,5,12,7,14,9,15,11,16,13,4,3]
[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)] => [2,1,7,8,9,11,6,5,4,13,10,15,12,16,14,3]
[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)] => [2,1,7,8,10,12,6,5,14,9,15,11,16,13,4,3]
[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)] => [2,1,7,9,10,11,6,12,8,5,4,3,15,16,14,13]
[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)] => [2,1,7,9,10,12,6,14,8,5,15,11,16,13,4,3]
[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)] => [2,1,7,9,11,12,6,13,8,15,10,5,4,16,14,3]
[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)] => [2,1,7,9,11,13,6,14,8,15,10,16,12,5,4,3]
[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)] => [2,1,7,11,12,13,6,14,15,16,10,9,8,5,4,3]
[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)] => [2,1,8,9,10,11,12,7,6,5,4,3,14,13,16,15]
[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)] => [2,1,8,9,10,11,12,7,6,5,4,3,15,16,14,13]
[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)] => [2,1,8,9,10,12,14,7,6,5,15,11,16,13,4,3]
[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)] => [2,1,8,9,11,13,14,7,6,15,10,16,12,5,4,3]
[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)] => [2,1,8,10,11,12,13,7,14,9,6,5,4,3,16,15]
[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)] => [2,1,8,10,11,13,14,7,15,9,6,16,12,5,4,3]
[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)] => [2,1,8,10,12,13,14,7,15,9,16,11,6,5,4,3]
[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)] => [2,1,8,11,12,13,14,7,15,16,10,9,6,5,4,3]
[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)] => [2,1,9,10,11,12,13,14,8,7,6,5,4,3,16,15]
[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)] => [2,1,9,10,11,13,14,15,8,7,6,16,12,5,4,3]
[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)] => [2,1,9,10,12,13,14,15,8,7,16,11,6,5,4,3]
[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)] => [2,1,9,11,12,13,14,15,8,16,10,7,6,5,4,3]
[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)] => [2,1,10,11,12,13,14,15,16,9,8,7,6,5,4,3]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,14,13,16,15]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,15,16,14,13]
[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)] => [3,4,2,1,6,5,8,7,10,9,13,14,12,11,16,15]
[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)] => [3,4,2,1,6,5,8,7,10,9,13,15,12,16,14,11]
[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)] => [3,4,2,1,6,5,8,7,10,9,14,15,16,13,12,11]
[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)] => [3,4,2,1,6,5,8,7,11,12,10,9,14,13,16,15]
[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)] => [3,4,2,1,6,5,8,7,11,13,10,15,12,16,14,9]
[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)] => [3,4,2,1,6,5,9,11,8,13,10,15,12,16,14,7]
[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)] => [3,4,2,1,6,5,10,12,14,9,15,11,16,13,8,7]
[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)] => [3,4,2,1,6,5,11,13,14,15,10,16,12,9,8,7]
[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)] => [3,4,2,1,6,5,12,13,14,15,16,11,10,9,8,7]
[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)] => [3,4,2,1,7,9,6,11,8,13,10,15,12,16,14,5]
[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)] => [3,4,2,1,7,9,6,13,8,14,15,16,12,11,10,5]
[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)] => [3,4,2,1,7,12,6,13,14,15,16,11,10,9,8,5]
[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)] => [3,4,2,1,8,9,10,7,6,5,12,11,14,13,16,15]
[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)] => [3,4,2,1,8,9,11,7,6,13,10,15,12,16,14,5]
[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)] => [3,4,2,1,8,10,12,7,14,9,15,11,16,13,6,5]
[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)] => [3,4,2,1,9,11,13,14,8,15,10,16,12,7,6,5]
[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)] => [3,4,2,1,10,11,12,13,14,9,8,7,6,5,16,15]
[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)] => [3,4,2,1,10,11,12,13,15,9,8,7,6,16,14,5]
[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)] => [3,4,2,1,10,12,13,14,15,9,16,11,8,7,6,5]
[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)] => [3,4,2,1,11,12,13,14,15,16,10,9,8,7,6,5]
[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)] => [3,5,2,6,4,1,8,7,10,9,12,11,14,13,16,15]
[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)] => [3,5,2,6,4,1,8,7,10,9,12,11,15,16,14,13]
[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)] => [3,5,2,6,4,1,8,7,10,9,13,15,12,16,14,11]
[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)] => [3,5,2,6,4,1,8,7,13,14,15,16,12,11,10,9]
[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)] => [3,5,2,6,4,1,11,13,14,15,10,16,12,9,8,7]
[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)] => [3,5,2,6,4,1,12,13,14,15,16,11,10,9,8,7]
[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)] => [3,5,2,7,4,8,6,1,10,9,12,11,14,13,16,15]
[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)] => [3,5,2,7,4,8,6,1,10,9,14,15,16,13,12,11]
[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)] => [3,5,2,7,4,8,6,1,13,14,15,16,12,11,10,9]
[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)] => [3,5,2,7,4,9,6,10,8,1,12,11,14,13,16,15]
[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)] => [3,5,2,7,4,9,6,10,8,1,12,11,15,16,14,13]
[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)] => [3,5,2,7,4,9,6,10,8,1,14,15,16,13,12,11]
[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)] => [3,5,2,7,4,9,6,11,8,12,10,1,14,13,16,15]
[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)] => [3,5,2,7,4,9,6,11,8,12,10,1,15,16,14,13]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,14,12,1,16,15]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,16,14,1]
[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)] => [3,5,2,7,4,9,6,11,8,14,10,15,16,13,12,1]
[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)] => [3,5,2,7,4,9,6,12,8,13,14,11,10,1,16,15]
[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)] => [3,5,2,7,4,9,6,12,8,13,15,11,10,16,14,1]
[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)] => [3,5,2,7,4,9,6,12,8,14,15,11,16,13,10,1]
[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)] => [3,5,2,7,4,9,6,13,8,14,15,16,12,11,10,1]
[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)] => [3,5,2,7,4,10,6,11,12,9,8,1,14,13,16,15]
[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)] => [3,5,2,7,4,10,6,11,13,9,8,15,12,16,14,1]
[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)] => [3,5,2,7,4,10,6,12,13,9,14,11,8,1,16,15]
[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)] => [3,5,2,7,4,10,6,12,14,9,15,11,16,13,8,1]
[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)] => [3,5,2,7,4,10,6,13,14,9,15,16,12,11,8,1]
[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)] => [3,5,2,7,4,11,6,12,13,14,10,9,8,1,16,15]
[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)] => [3,5,2,7,4,11,6,13,14,15,10,16,12,9,8,1]
[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)] => [3,5,2,8,4,9,10,7,6,1,12,11,14,13,16,15]
[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)] => [3,5,2,8,4,9,11,7,6,13,10,15,12,16,14,1]
[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)] => [3,5,2,8,4,10,11,7,12,9,6,1,14,13,16,15]
[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)] => [3,5,2,8,4,11,13,7,14,15,10,16,12,9,6,1]
[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)] => [3,5,2,9,4,10,11,12,8,7,6,1,14,13,16,15]
[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)] => [3,5,2,9,4,11,13,14,8,15,10,16,12,7,6,1]
[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)] => [3,5,2,10,4,11,12,13,14,9,8,7,6,1,16,15]
[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)] => [3,6,2,7,8,5,4,1,10,9,12,11,14,13,16,15]
[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)] => [3,6,2,7,9,5,4,11,8,13,10,15,12,16,14,1]
[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)] => [3,6,2,8,9,5,10,7,4,1,12,11,14,13,16,15]
[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)] => [3,6,2,8,9,5,11,7,4,13,10,15,12,16,14,1]
[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)] => [3,6,2,8,10,5,11,7,12,9,4,1,14,13,16,15]
[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)] => [3,6,2,8,10,5,12,7,13,9,14,11,4,1,16,15]
[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)] => [3,6,2,8,10,5,12,7,14,9,15,11,16,13,4,1]
[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)] => [3,6,2,8,10,5,13,7,14,9,15,16,12,11,4,1]
[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)] => [3,6,2,9,11,5,13,14,8,15,10,16,12,7,4,1]
[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)] => [3,7,2,8,9,10,6,5,4,1,12,11,14,13,16,15]
[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)] => [3,7,2,9,11,13,6,14,8,15,10,16,12,5,4,1]
[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)] => [3,8,2,9,10,11,12,7,6,5,4,1,15,16,14,13]
[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)] => [3,8,2,9,10,11,13,7,6,5,4,15,12,16,14,1]
[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)] => [3,8,2,9,10,11,14,7,6,5,4,15,16,13,12,1]
[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)] => [3,8,2,10,12,13,14,7,15,9,16,11,6,5,4,1]
[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)] => [3,9,2,10,11,12,13,14,8,7,6,5,4,1,16,15]
[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)] => [3,9,2,10,11,12,13,15,8,7,6,5,4,16,14,1]
[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)] => [3,9,2,10,12,13,14,15,8,7,16,11,6,5,4,1]
[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)] => [3,9,2,11,12,13,14,15,8,16,10,7,6,5,4,1]
[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)] => [3,10,2,11,12,13,14,15,16,9,8,7,6,5,4,1]
[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)] => [4,5,6,3,2,1,8,7,10,9,12,11,14,13,16,15]
[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)] => [4,5,6,3,2,1,8,7,10,9,12,11,15,16,14,13]
[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)] => [4,5,6,3,2,1,8,7,10,9,13,15,12,16,14,11]
[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)] => [4,5,6,3,2,1,8,7,12,14,15,11,16,13,10,9]
[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)] => [4,5,6,3,2,1,10,12,14,9,15,11,16,13,8,7]
[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)] => [4,5,6,3,2,1,10,13,14,9,15,16,12,11,8,7]
[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)] => [4,5,6,3,2,1,11,12,13,14,10,9,8,7,16,15]
[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)] => [4,5,6,3,2,1,11,13,14,15,10,16,12,9,8,7]
[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)] => [4,5,6,3,2,1,12,13,14,15,16,11,10,9,8,7]
[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)] => [4,5,7,3,2,8,6,1,10,9,12,11,14,13,16,15]
[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)] => [4,5,7,3,2,8,6,1,13,14,15,16,12,11,10,9]
[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)] => [4,5,7,3,2,9,6,10,8,1,12,11,14,13,16,15]
[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)] => [4,5,7,3,2,9,6,11,8,12,10,1,14,13,16,15]
[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)] => [4,5,7,3,2,9,6,11,8,13,10,14,12,1,16,15]
[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)] => [4,5,7,3,2,9,6,11,8,13,10,15,12,16,14,1]
[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)] => [4,5,8,3,2,9,11,7,6,13,10,15,12,16,14,1]
[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)] => [4,5,8,3,2,10,12,7,14,9,15,11,16,13,6,1]
[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)] => [4,5,10,3,2,12,13,14,15,9,16,11,8,7,6,1]
[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)] => [4,6,7,3,8,5,2,1,10,9,12,11,14,13,16,15]
[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)] => [4,6,7,3,8,5,2,1,13,14,15,16,12,11,10,9]
[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)] => [4,6,7,3,9,5,2,11,8,13,10,14,12,1,16,15]
[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)] => [4,6,7,3,9,5,2,11,8,13,10,15,12,16,14,1]
[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)] => [4,6,8,3,9,5,10,7,2,1,12,11,14,13,16,15]
[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)] => [4,6,8,3,9,5,10,7,2,1,12,11,15,16,14,13]
[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)] => [4,6,8,3,9,5,11,7,2,12,10,1,14,13,16,15]
[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)] => [4,6,8,3,9,5,11,7,2,12,10,1,15,16,14,13]
[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)] => [4,6,8,3,9,5,11,7,2,13,10,14,12,1,16,15]
[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)] => [4,6,8,3,9,5,11,7,2,13,10,15,12,16,14,1]
[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)] => [4,6,8,3,10,5,11,7,12,9,2,1,14,13,16,15]
[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)] => [4,6,8,3,10,5,11,7,12,9,2,1,15,16,14,13]
[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)] => [4,6,8,3,10,5,11,7,14,9,2,15,16,13,12,1]
[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)] => [4,6,8,3,10,5,12,7,13,9,14,11,2,1,16,15]
[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)] => [4,6,8,3,10,5,12,7,13,9,15,11,2,16,14,1]
[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)] => [4,6,8,3,10,5,12,7,14,9,15,11,16,13,2,1]
[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)] => [4,6,8,3,10,5,13,7,14,9,15,16,12,11,2,1]
[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)] => [4,6,9,3,10,5,11,12,8,7,2,1,15,16,14,13]
[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)] => [4,7,9,3,11,13,6,14,8,15,10,16,12,5,2,1]
[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)] => [4,7,9,3,12,13,6,14,8,15,16,11,10,5,2,1]
[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)] => [4,8,9,3,10,11,12,7,6,5,2,1,15,16,14,13]
[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)] => [4,8,9,3,10,12,14,7,6,5,15,11,16,13,2,1]
[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)] => [4,8,9,3,10,13,14,7,6,5,15,16,12,11,2,1]
[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)] => [4,8,11,3,12,13,14,7,15,16,10,9,6,5,2,1]
[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)] => [4,9,10,3,11,12,14,15,8,7,6,5,16,13,2,1]
[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)] => [4,9,10,3,12,13,14,15,8,7,16,11,6,5,2,1]
[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)] => [4,9,11,3,12,13,14,15,8,16,10,7,6,5,2,1]
[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)] => [4,10,11,3,12,13,14,15,16,9,8,7,6,5,2,1]
[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)] => [5,6,7,8,4,3,2,1,10,9,12,11,14,13,16,15]
[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)] => [5,6,7,8,4,3,2,1,10,9,13,15,12,16,14,11]
[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)] => [5,6,7,8,4,3,2,1,12,14,15,11,16,13,10,9]
[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)] => [5,6,7,8,4,3,2,1,13,14,15,16,12,11,10,9]
[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)] => [5,6,7,9,4,3,2,10,8,1,12,11,14,13,16,15]
[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)] => [5,6,7,9,4,3,2,11,8,12,10,1,14,13,16,15]
[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)] => [5,6,7,9,4,3,2,11,8,13,10,14,12,1,16,15]
[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)] => [5,6,7,9,4,3,2,11,8,13,10,15,12,16,14,1]
[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)] => [5,6,7,11,4,3,2,13,14,15,10,16,12,9,8,1]
[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)] => [5,6,8,9,4,3,10,7,2,1,12,11,14,13,16,15]
[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)] => [5,6,8,9,4,3,10,7,2,1,14,15,16,13,12,11]
[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)] => [5,6,8,10,4,3,12,7,13,9,15,11,2,16,14,1]
[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)] => [5,6,8,10,4,3,12,7,14,9,15,11,16,13,2,1]
[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)] => [5,6,9,11,4,3,13,14,8,15,10,16,12,7,2,1]
[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)] => [5,6,10,12,4,3,13,14,15,9,16,11,8,7,2,1]
[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)] => [5,7,8,9,4,10,6,3,2,1,14,15,16,13,12,11]
[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)] => [5,7,8,9,4,11,6,3,2,13,10,15,12,16,14,1]
[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)] => [5,7,9,10,4,11,6,13,8,3,2,15,12,16,14,1]
[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)] => [5,7,9,10,4,13,6,14,8,3,15,16,12,11,2,1]
[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)] => [5,7,9,11,4,12,6,13,8,15,10,3,2,16,14,1]
[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)] => [5,7,9,11,4,13,6,14,8,15,10,16,12,3,2,1]
[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)] => [5,7,9,12,4,13,6,14,8,15,16,11,10,3,2,1]
[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)] => [5,8,9,11,4,13,14,7,6,15,10,16,12,3,2,1]
[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)] => [5,8,9,12,4,13,14,7,6,15,16,11,10,3,2,1]
[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)] => [5,8,11,12,4,13,14,7,15,16,10,9,6,3,2,1]
[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)] => [5,9,10,11,4,12,13,14,8,7,6,3,2,1,16,15]
[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)] => [5,9,10,11,4,12,13,15,8,7,6,3,2,16,14,1]
[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)] => [5,9,10,11,4,13,14,15,8,7,6,16,12,3,2,1]
[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)] => [5,10,11,12,4,13,14,15,16,9,8,7,6,3,2,1]
[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)] => [6,7,8,9,10,5,4,3,2,1,12,11,14,13,16,15]
[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)] => [6,7,8,9,10,5,4,3,2,1,13,15,12,16,14,11]
[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)] => [6,7,8,9,10,5,4,3,2,1,14,15,16,13,12,11]
[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)] => [6,7,8,9,11,5,4,3,2,12,10,1,14,13,16,15]
[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)] => [6,7,8,9,11,5,4,3,2,13,10,14,12,1,16,15]
[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)] => [6,7,8,9,12,5,4,3,2,14,15,11,16,13,10,1]
[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)] => [6,7,8,10,11,5,4,3,12,9,2,1,14,13,16,15]
[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)] => [6,7,9,10,11,5,4,12,8,3,2,1,15,16,14,13]
[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)] => [6,7,9,11,12,5,4,14,8,15,10,3,16,13,2,1]
[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)] => [6,7,9,11,13,5,4,14,8,15,10,16,12,3,2,1]
[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)] => [6,7,10,12,13,5,4,14,15,9,16,11,8,3,2,1]
[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)] => [6,8,9,10,11,5,12,7,4,3,2,1,15,16,14,13]
[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)] => [6,8,9,10,13,5,14,7,4,3,15,16,12,11,2,1]
[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)] => [6,8,9,11,13,5,14,7,4,15,10,16,12,3,2,1]
[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)] => [6,8,9,12,13,5,14,7,4,15,16,11,10,3,2,1]
[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)] => [6,8,10,11,12,5,13,7,14,9,4,3,2,1,16,15]
[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)] => [6,8,10,11,12,5,13,7,15,9,4,3,2,16,14,1]
[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)] => [6,8,10,12,13,5,14,7,15,9,16,11,4,3,2,1]
[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)] => [6,8,11,12,13,5,14,7,15,16,10,9,4,3,2,1]
[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)] => [6,9,10,11,12,5,13,14,8,7,4,3,2,1,16,15]
[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)] => [6,9,10,11,12,5,13,15,8,7,4,3,2,16,14,1]
[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)] => [6,9,10,12,13,5,14,15,8,7,16,11,4,3,2,1]
[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)] => [6,10,11,12,13,5,14,15,16,9,8,7,4,3,2,1]
[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)] => [7,8,9,10,11,12,6,5,4,3,2,1,14,13,16,15]
[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)] => [7,8,9,10,11,12,6,5,4,3,2,1,15,16,14,13]
[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)] => [7,8,9,10,11,13,6,5,4,3,2,14,12,1,16,15]
[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)] => [7,8,9,10,11,13,6,5,4,3,2,15,12,16,14,1]
[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)] => [7,8,9,10,12,13,6,5,4,3,14,11,2,1,16,15]
[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)] => [7,8,9,11,12,13,6,5,4,14,10,3,2,1,16,15]
[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)] => [7,8,9,11,12,13,6,5,4,15,10,3,2,16,14,1]
[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)] => [7,8,10,11,12,13,6,5,14,9,4,3,2,1,16,15]
[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)] => [7,8,10,11,12,13,6,5,15,9,4,3,2,16,14,1]
[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)] => [7,8,10,11,12,14,6,5,15,9,4,3,16,13,2,1]
[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)] => [7,8,10,11,13,14,6,5,15,9,4,16,12,3,2,1]
[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)] => [7,8,10,12,13,14,6,5,15,9,16,11,4,3,2,1]
[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)] => [7,9,10,11,12,13,6,14,8,5,4,3,2,1,16,15]
[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)] => [7,9,10,11,12,13,6,15,8,5,4,3,2,16,14,1]
[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)] => [7,9,11,12,13,14,6,15,8,16,10,5,4,3,2,1]
[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)] => [7,10,11,12,13,14,6,15,16,9,8,5,4,3,2,1]
[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)] => [8,9,10,11,12,13,14,7,6,5,4,3,2,1,16,15]
[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)] => [8,9,10,11,12,13,15,7,6,5,4,3,2,16,14,1]
[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)] => [8,9,10,11,12,14,15,7,6,5,4,3,16,13,2,1]
[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)] => [8,9,10,11,13,14,15,7,6,5,4,16,12,3,2,1]
[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)] => [8,9,10,12,13,14,15,7,6,5,16,11,4,3,2,1]
[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)] => [8,9,11,12,13,14,15,7,6,16,10,5,4,3,2,1]
[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)] => [8,10,11,12,13,14,15,7,16,9,6,5,4,3,2,1]
[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)] => [9,10,11,12,13,14,15,16,8,7,6,5,4,3,2,1]
[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)] => [9,10,11,12,13,14,15,16,8,7,6,5,4,3,2,1,18,17]
[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)] => [2,1,11,12,13,14,15,16,17,18,10,9,8,7,6,5,4,3]
[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)] => [10,11,12,13,14,15,16,17,18,9,8,7,6,5,4,3,2,1,20,19]
[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)] => [8,10,11,12,13,14,15,7,16,9,6,5,4,3,2,1,18,17]
[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)] => [2,1,10,12,13,14,15,16,17,9,18,11,8,7,6,5,4,3]
[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)] => [2,1,12,13,14,15,16,17,18,19,20,11,10,9,8,7,6,5,4,3]
[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)] => [11,12,13,14,15,16,17,18,19,20,10,9,8,7,6,5,4,3,2,1,22,21]
[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)] => [9,11,12,13,14,15,16,17,8,18,10,7,6,5,4,3,2,1,20,19]
[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)] => [8,9,11,12,13,14,15,7,6,16,10,5,4,3,2,1,18,17]
[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)] => [7,10,11,12,13,14,6,15,16,9,8,5,4,3,2,1,18,17]
[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)] => [2,1,10,11,13,14,15,16,17,9,8,18,12,7,6,5,4,3]
[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)] => [2,1,9,12,13,14,15,16,8,17,18,11,10,7,6,5,4,3]
[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)] => [2,1,11,13,14,15,16,17,18,19,10,20,12,9,8,7,6,5,4,3]
[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)] => [2,1,13,14,15,16,17,18,19,20,21,22,12,11,10,9,8,7,6,5,4,3]
[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)] => [2,1,9,11,13,14,15,16,8,17,10,18,12,7,6,5,4,3]
[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)] => [2,1,11,12,14,15,16,17,18,19,10,9,20,13,8,7,6,5,4,3]
[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)] => [2,1,10,12,14,15,16,17,18,9,19,11,20,13,8,7,6,5,4,3]
[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)] => [2,1,9,10,12,14,15,16,8,7,17,11,18,13,6,5,4,3]
[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)] => [8,9,10,11,12,13,15,7,6,5,4,3,2,16,14,1,18,17]
[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)] => [3,10,2,11,12,13,14,15,16,9,8,7,6,5,4,1,18,17]
[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)] => [8,9,10,11,12,13,14,7,6,5,4,3,2,1,17,18,16,15]
[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)] => [2,1,8,10,12,14,15,7,16,9,17,11,18,13,6,5,4,3]
[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)] => [3,4,2,1,12,13,14,15,16,17,18,11,10,9,8,7,6,5]
[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)] => [8,9,10,11,12,13,14,7,6,5,4,3,2,1,16,15,18,17]
[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)] => [2,1,10,11,12,13,14,15,16,9,8,7,6,5,4,3,18,17]
[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)] => [7,9,10,11,12,13,6,14,8,5,4,3,2,1,17,18,16,15]
[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)] => [2,1,9,11,13,15,16,17,8,18,10,19,12,20,14,7,6,5,4,3]
[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)] => [3,4,2,1,11,13,14,15,16,17,10,18,12,9,8,7,6,5]
[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)] => [2,1,4,3,12,13,14,15,16,17,18,11,10,9,8,7,6,5]
[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)] => [9,10,11,12,13,14,15,16,8,7,6,5,4,3,2,1,19,20,18,17]
[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)] => [3,4,2,1,13,14,15,16,17,18,19,20,12,11,10,9,8,7,6,5]
[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)] => [9,10,11,12,13,14,15,16,8,7,6,5,4,3,2,1,18,17,20,19]
[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)] => [2,1,11,12,13,14,15,16,17,18,10,9,8,7,6,5,4,3,20,19]
[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)] => [2,1,8,9,11,13,15,7,6,16,10,17,12,18,14,5,4,3]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,18,16,1]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,16,12,17,18,15,14,1]
[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)] => [3,5,2,7,4,9,6,11,8,14,10,15,17,13,12,18,16,1]
[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)] => [3,5,2,7,4,9,6,11,8,14,10,16,17,13,18,15,12,1]
[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)] => [3,5,2,7,4,9,6,11,8,15,10,16,17,18,14,13,12,1]
[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)] => [3,5,2,7,4,9,6,12,8,13,15,11,10,17,14,18,16,1]
[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)] => [3,5,2,7,4,9,6,12,8,14,15,11,17,13,10,18,16,1]
[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)] => [3,5,2,7,4,9,6,12,8,14,16,11,17,13,18,15,10,1]
[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)] => [3,5,2,7,4,9,6,12,8,15,16,11,17,18,14,13,10,1]
[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)] => [3,5,2,7,4,9,6,13,8,14,15,17,12,11,10,18,16,1]
[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)] => [3,5,2,7,4,9,6,13,8,15,16,17,12,18,14,11,10,1]
[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)] => [3,5,2,7,4,11,6,13,15,16,10,17,12,18,14,9,8,1]
[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)] => [3,5,2,9,4,11,13,15,8,16,10,17,12,18,14,7,6,1]
[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)] => [3,6,2,7,9,5,4,11,8,13,10,15,12,17,14,18,16,1]
[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)] => [3,6,2,8,10,5,12,7,14,9,16,11,17,13,18,15,4,1]
[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)] => [3,7,2,9,11,13,6,15,8,16,10,17,12,18,14,5,4,1]
[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)] => [3,10,2,11,12,13,14,15,17,9,8,7,6,5,4,18,16,1]
[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)] => [3,10,2,11,13,14,15,16,17,9,8,18,12,7,6,5,4,1]
[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)] => [3,10,2,12,13,14,15,16,17,9,18,11,8,7,6,5,4,1]
[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)] => [3,11,2,12,13,14,15,16,17,18,10,9,8,7,6,5,4,1]
[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)] => [4,5,7,3,2,9,6,11,8,13,10,15,12,17,14,18,16,1]
[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)] => [4,6,7,3,9,5,2,11,8,13,10,15,12,17,14,18,16,1]
[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)] => [4,6,8,3,10,5,12,7,14,9,15,11,17,13,2,18,16,1]
[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)] => [4,6,8,3,10,5,12,7,14,9,16,11,17,13,18,15,2,1]
[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)] => [4,7,9,3,11,14,6,15,8,16,10,17,18,13,12,5,2,1]
[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)] => [4,10,11,3,12,13,14,16,17,9,8,7,6,5,18,15,2,1]
[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)] => [4,11,12,3,13,14,15,16,17,18,10,9,8,7,6,5,2,1]
[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)] => [5,6,9,11,4,3,13,15,8,16,10,17,12,18,14,7,2,1]
[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)] => [5,7,9,10,4,12,6,14,8,3,16,11,17,13,18,15,2,1]
[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)] => [5,7,9,11,4,12,6,15,8,16,10,3,17,18,14,13,2,1]
[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)] => [5,7,9,11,4,13,6,15,8,16,10,17,12,18,14,3,2,1]
[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)] => [5,7,9,11,4,14,6,15,8,16,10,17,18,13,12,3,2,1]
[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)] => [5,10,11,12,4,13,15,16,17,9,8,7,6,18,14,3,2,1]
[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)] => [5,11,12,13,4,14,15,16,17,18,10,9,8,7,6,3,2,1]
[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)] => [6,7,9,11,13,5,4,14,8,16,10,17,12,3,18,15,2,1]
[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)] => [6,7,9,11,13,5,4,15,8,16,10,17,12,18,14,3,2,1]
[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)] => [6,8,10,13,14,5,15,7,16,9,17,18,12,11,4,3,2,1]
[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)] => [6,9,12,13,14,5,15,16,8,17,18,11,10,7,4,3,2,1]
[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)] => [6,10,11,12,14,5,15,16,17,9,8,7,18,13,4,3,2,1]
[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)] => [6,11,12,13,14,5,15,16,17,18,10,9,8,7,4,3,2,1]
[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)] => [7,8,10,12,14,15,6,5,16,9,17,11,18,13,4,3,2,1]
[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)] => [7,8,11,13,14,15,6,5,16,17,10,18,12,9,4,3,2,1]
[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)] => [7,9,10,13,14,15,6,16,8,5,17,18,12,11,4,3,2,1]
[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)] => [7,9,12,13,14,15,6,16,8,17,18,11,10,5,4,3,2,1]
[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)] => [7,10,11,12,13,14,6,15,17,9,8,5,4,3,2,18,16,1]
[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)] => [7,10,11,13,14,15,6,16,17,9,8,18,12,5,4,3,2,1]
[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)] => [7,11,12,13,14,15,6,16,17,18,10,9,8,5,4,3,2,1]
[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)] => [8,9,11,12,13,14,15,7,6,17,10,5,4,3,2,18,16,1]
[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)] => [8,9,11,12,14,15,16,7,6,17,10,5,18,13,4,3,2,1]
[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)] => [8,9,11,13,14,15,16,7,6,17,10,18,12,5,4,3,2,1]
[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)] => [8,10,11,12,13,14,15,7,17,9,6,5,4,3,2,18,16,1]
[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)] => [8,10,12,13,14,15,16,7,17,9,18,11,6,5,4,3,2,1]
[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)] => [8,11,12,13,14,15,16,7,17,18,10,9,6,5,4,3,2,1]
[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)] => [9,10,11,12,13,14,15,17,8,7,6,5,4,3,2,18,16,1]
[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)] => [9,10,11,12,13,14,16,17,8,7,6,5,4,3,18,15,2,1]
[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)] => [9,10,11,12,13,15,16,17,8,7,6,5,4,18,14,3,2,1]
[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)] => [9,10,11,12,14,15,16,17,8,7,6,5,18,13,4,3,2,1]
[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)] => [9,10,11,13,14,15,16,17,8,7,6,18,12,5,4,3,2,1]
[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)] => [9,10,12,13,14,15,16,17,8,7,18,11,6,5,4,3,2,1]
[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)] => [9,11,12,13,14,15,16,17,8,18,10,7,6,5,4,3,2,1]
[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)] => [10,11,12,13,14,15,16,17,18,9,8,7,6,5,4,3,2,1]
[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)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,18,16,15]
[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)] => [2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,18,16,13]
[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)] => [2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,18,16,11]
[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)] => [2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,18,16,9]
[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)] => [2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,18,16,7]
[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)] => [2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,18,16,5]
[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)] => [2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,18,16,3]
[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)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,19,20,18,17]
[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)] => [2,1,4,3,6,5,8,7,10,9,12,11,16,17,18,15,14,13]
[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)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,19,16,20,18,15]
[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)] => [2,1,4,3,6,5,8,7,10,9,14,15,17,13,12,18,16,11]
[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)] => [2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,19,16,20,18,13]
[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)] => [2,1,4,3,6,5,8,7,12,13,15,11,10,17,14,18,16,9]
[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)] => [2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,19,16,20,18,11]
[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)] => [2,1,4,3,6,5,10,11,13,9,8,15,12,17,14,18,16,7]
[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)] => [2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,19,16,20,18,9]
[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)] => [2,1,4,3,8,9,11,7,6,13,10,15,12,17,14,18,16,5]
[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)] => [2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,19,16,20,18,7]
[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)] => [2,1,6,7,9,5,4,11,8,13,10,15,12,17,14,18,16,3]
[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)] => [2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,19,16,20,18,5]
[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)] => [2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,3]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,1]
[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)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,21,22,20,19]
[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)] => [2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,19,21,18,22,20,17]
[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)] => [4,5,7,3,2,9,6,11,8,13,10,15,12,17,14,19,16,20,18,1]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,19,16,21,18,22,20,1]
[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)] => [2,1,4,3,8,10,12,7,13,9,15,11,6,17,14,18,16,5]
[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)] => [2,1,6,8,10,5,12,7,14,9,15,11,17,13,4,18,16,3]
[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)] => [4,6,8,3,10,5,11,7,13,9,2,15,12,17,14,19,16,20,18,1]
[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)] => [2,1,6,8,10,5,12,7,14,9,16,11,17,13,18,15,4,3]
[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)] => [2,1,7,9,11,13,6,15,8,16,10,17,12,18,14,5,4,3]
[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)] => [2,1,6,8,10,5,12,7,14,9,16,11,18,13,19,15,20,17,4,3]
[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)] => [4,6,8,3,10,5,12,7,14,9,16,11,17,13,19,15,2,20,18,1]
[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)] => [2,1,7,9,11,13,6,15,8,17,10,18,12,19,14,20,16,5,4,3]
[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)] => [2,1,4,3,6,5,8,7,10,9,13,14,12,11,17,18,16,15]
[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)] => [2,1,4,3,6,5,9,10,8,7,12,11,14,13,16,15,18,17]
[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)] => [2,1,4,3,7,8,6,5,10,9,12,11,14,13,16,15,18,17]
[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)] => [2,1,5,6,4,3,8,7,10,9,12,11,14,13,17,18,16,15]
[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)] => [2,1,5,6,4,3,9,10,8,7,12,11,14,13,16,15,18,17]
[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)] => [2,1,6,7,8,5,4,3,10,9,12,11,14,13,16,15,18,17]
[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)] => [2,1,9,10,11,12,13,14,8,7,6,5,4,3,17,18,16,15]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,14,13,17,18,16,15]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,15,16,14,13,18,17]
[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)] => [3,4,2,1,11,12,13,14,15,16,10,9,8,7,6,5,18,17]
[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)] => [4,5,6,3,2,1,8,7,10,9,12,11,14,13,16,15,18,17]
[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)] => [4,5,6,3,2,1,13,14,15,16,17,18,12,11,10,9,8,7]
[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)] => [5,6,7,8,4,3,2,1,10,9,12,11,14,13,16,15,18,17]
[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)] => [5,6,7,8,4,3,2,1,14,15,16,17,18,13,12,11,10,9]
[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)] => [6,7,8,9,10,5,4,3,2,1,12,11,14,13,16,15,18,17]
[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)] => [6,7,8,9,10,5,4,3,2,1,15,16,17,18,14,13,12,11]
[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)] => [7,8,9,10,11,12,6,5,4,3,2,1,14,13,16,15,18,17]
[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)] => [7,8,9,10,11,12,6,5,4,3,2,1,16,17,18,15,14,13]
[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)] => [2,1,4,3,6,5,8,7,10,9,13,14,12,11,16,15,18,17,20,19]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,14,13,16,15,19,20,18,17]
[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)] => [4,5,6,3,2,1,8,7,10,9,12,11,14,13,16,15,18,17,20,19]
[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)] => [4,5,6,3,2,1,14,15,16,17,18,19,20,13,12,11,10,9,8,7]
[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)] => [5,6,7,8,4,3,2,1,10,9,12,11,14,13,16,15,18,17,20,19]
[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)] => [5,6,7,8,4,3,2,1,15,16,17,18,19,20,14,13,12,11,10,9]
[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)] => [6,7,8,9,10,5,4,3,2,1,12,11,14,13,16,15,18,17,20,19]
[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)] => [6,7,8,9,10,5,4,3,2,1,16,17,18,19,20,15,14,13,12,11]
[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)] => [7,8,9,10,11,12,6,5,4,3,2,1,14,13,16,15,18,17,20,19]
[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)] => [7,8,9,10,11,12,6,5,4,3,2,1,17,18,19,20,16,15,14,13]
[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)] => [8,9,10,11,12,13,14,7,6,5,4,3,2,1,16,15,18,17,20,19]
[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)] => [8,9,10,11,12,13,14,7,6,5,4,3,2,1,18,19,20,17,16,15]
[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)] => [11,12,13,14,15,16,17,18,19,20,10,9,8,7,6,5,4,3,2,1]
[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)] => [3,5,2,6,4,1,8,7,10,9,12,11,14,13,16,15,18,17]
[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)] => [3,5,2,7,4,8,6,1,10,9,12,11,14,13,16,15,18,17]
[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)] => [3,5,2,7,4,9,6,10,8,1,12,11,14,13,16,15,18,17]
[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)] => [3,5,2,7,4,9,6,11,8,12,10,1,14,13,16,15,18,17]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,14,12,1,16,15,18,17]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,16,14,1,18,17]
[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)] => [3,5,2,6,4,1,8,7,10,9,12,11,14,13,16,15,18,17,20,19]
[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)] => [3,6,2,7,8,5,4,1,10,9,12,11,14,13,16,15,18,17]
[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)] => [3,5,2,7,4,8,6,1,10,9,12,11,14,13,16,15,18,17,20,19]
[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)] => [3,5,2,8,4,9,10,7,6,1,12,11,14,13,16,15,18,17]
[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)] => [3,5,2,7,4,9,6,10,8,1,12,11,14,13,16,15,18,17,20,19]
[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)] => [3,5,2,7,4,10,6,11,12,9,8,1,14,13,16,15,18,17]
[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)] => [3,5,2,7,4,9,6,11,8,12,10,1,14,13,16,15,18,17,20,19]
[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)] => [3,5,2,7,4,9,6,12,8,13,14,11,10,1,16,15,18,17]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,14,12,1,16,15,18,17,20,19]
[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)] => [3,5,2,7,4,9,6,11,8,14,10,15,16,13,12,1,18,17]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,16,14,1,18,17,20,19]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,18,16,1,20,19]
[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)] => [6,8,10,12,15,5,16,7,17,9,18,11,19,20,14,13,4,3,2,1]
[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)] => [7,8,10,12,14,16,6,5,17,9,18,11,19,13,20,15,4,3,2,1]
[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)] => [6,8,10,12,14,5,17,7,18,9,19,11,20,13,21,22,16,15,4,3,2,1]
[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)] => [5,7,9,11,4,13,6,16,8,17,10,18,12,19,20,15,14,3,2,1]
[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)] => [6,7,9,11,13,5,4,15,8,17,10,18,12,19,14,20,16,3,2,1]
[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)] => [7,8,10,12,14,16,6,5,18,9,19,11,20,13,21,15,22,17,4,3,2,1]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19,22,21]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,15,17,14,18,16,13]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,15,12,18,14,19,20,17,16,1]
[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)] => [9,12,13,14,15,16,17,18,8,19,20,11,10,7,6,5,4,3,2,1]
[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)] => [10,11,13,14,15,16,17,18,19,9,8,20,12,7,6,5,4,3,2,1]
[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)] => [10,13,14,15,16,17,18,19,20,9,21,22,12,11,8,7,6,5,4,3,2,1]
[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)] => [8,10,13,14,15,16,17,7,18,9,19,20,12,11,6,5,4,3,2,1]
[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)] => [9,10,12,14,15,16,17,18,8,7,19,11,20,13,6,5,4,3,2,1]
[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)] => [11,12,14,15,16,17,18,19,20,21,10,9,22,13,8,7,6,5,4,3,2,1]
[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)] => [3,4,2,1,6,5,8,7,10,9,12,11,14,13,17,19,16,20,18,15]
[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)] => [3,5,2,6,4,1,8,7,10,9,12,11,15,17,14,18,16,13]
[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)] => [2,1,5,6,4,3,8,7,10,9,12,11,15,17,14,18,16,13]
[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)] => [3,5,2,6,4,1,8,7,10,9,12,11,14,13,17,18,16,15]
[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)] => [4,6,8,3,10,5,12,7,14,9,15,11,16,13,2,1,18,17]
[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)] => [4,6,8,3,10,5,12,7,13,9,14,11,2,1,16,15,18,17]
[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)] => [4,6,8,3,10,5,11,7,12,9,2,1,14,13,16,15,18,17]
[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)] => [4,6,8,3,9,5,10,7,2,1,12,11,14,13,16,15,18,17]
[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)] => [4,6,7,3,8,5,2,1,10,9,12,11,14,13,16,15,18,17]
[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)] => [3,12,2,13,14,15,16,17,18,19,20,11,10,9,8,7,6,5,4,1]
[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)] => [10,11,12,13,14,15,16,17,19,9,8,7,6,5,4,3,2,20,18,1]
[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)] => [11,12,13,14,15,16,17,18,19,21,10,9,8,7,6,5,4,3,2,22,20,1]
[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)] => [9,11,12,13,14,15,16,17,8,19,10,7,6,5,4,3,2,20,18,1]
[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)] => [7,8,9,10,11,13,6,5,4,3,2,14,12,1,16,15,18,17]
[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)] => [6,7,8,9,11,5,4,3,2,12,10,1,14,13,16,15,18,17]
[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)] => [5,6,7,9,4,3,2,10,8,1,12,11,14,13,16,15,18,17]
[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)] => [4,5,7,3,2,8,6,1,10,9,12,11,14,13,16,15,18,17]
[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)] => [10,12,13,14,15,16,17,18,19,9,20,11,8,7,6,5,4,3,2,1]
[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)] => [8,12,13,14,15,16,17,7,18,19,20,11,10,9,6,5,4,3,2,1]
[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)] => [7,12,13,14,15,16,6,17,18,19,20,11,10,9,8,5,4,3,2,1]
[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)] => [6,12,13,14,15,5,16,17,18,19,20,11,10,9,8,7,4,3,2,1]
[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)] => [5,12,13,14,4,15,16,17,18,19,20,11,10,9,8,7,6,3,2,1]
[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)] => [4,12,13,3,14,15,16,17,18,19,20,11,10,9,8,7,6,5,2,1]
[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)] => [4,6,8,3,10,5,12,7,13,9,14,11,2,1,17,18,16,15]
[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)] => [3,4,2,1,8,10,12,7,14,9,16,11,17,13,18,15,6,5]
[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)] => [3,6,2,8,10,5,12,7,14,9,15,11,16,13,4,1,18,17]
[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)] => [3,6,2,8,10,5,12,7,14,9,16,11,18,13,19,15,20,17,4,1]
[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)] => [11,13,14,15,16,17,18,19,20,21,10,22,12,9,8,7,6,5,4,3,2,1]
[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)] => [3,5,2,6,4,1,13,14,15,16,17,18,12,11,10,9,8,7]
[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)] => [4,6,7,3,8,5,2,1,14,15,16,17,18,13,12,11,10,9]
[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)] => [5,7,8,9,4,10,6,3,2,1,15,16,17,18,14,13,12,11]
[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)] => [6,8,9,10,11,5,12,7,4,3,2,1,16,17,18,15,14,13]
[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)] => [2,1,5,7,4,9,6,10,8,3,12,11,14,13,16,15,18,17]
[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)] => [2,1,4,3,7,9,6,10,8,5,12,11,14,13,16,15,18,17]
[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)] => [2,1,4,3,6,5,8,7,10,9,13,15,12,16,14,11,18,17,20,19]
[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)] => [2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,18,16,11,20,19]
[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)] => [3,5,2,7,4,9,6,10,8,1,12,11,14,13,17,18,16,15]
[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)] => [3,4,2,1,7,9,6,10,8,5,12,11,14,13,16,15,18,17]
[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)] => [3,6,2,8,10,5,11,7,13,9,4,15,12,17,14,19,16,20,18,1]
[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)] => [3,5,2,8,4,10,11,7,13,9,6,15,12,17,14,19,16,20,18,1]
[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)] => [3,5,2,7,4,10,6,11,13,9,8,15,12,17,14,19,16,20,18,1]
[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)] => [2,1,8,10,12,14,16,7,17,9,18,11,19,13,20,15,6,5,4,3]
[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)] => [2,1,7,8,10,12,6,5,14,9,16,11,17,13,18,15,4,3]
[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)] => [4,5,7,3,2,9,6,11,8,13,10,15,12,16,14,1,18,17]
[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)] => [2,1,5,7,4,9,6,11,8,13,10,16,12,17,18,15,14,3]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,14,12,1,17,18,16,15]
[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)] => [3,4,2,1,7,9,6,11,8,13,10,15,12,17,14,18,16,5]
[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)] => [3,5,2,7,4,9,6,11,8,12,10,1,16,17,18,15,14,13]
[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)] => [3,5,2,7,4,9,6,11,8,13,10,17,12,18,19,20,16,15,14,1]
[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)] => [3,5,2,7,4,9,6,10,8,1,15,16,17,18,14,13,12,11]
[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)] => [3,5,2,7,4,9,6,11,8,15,10,17,18,19,14,20,16,13,12,1]
[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)] => [3,5,2,7,4,8,6,1,13,15,16,17,12,18,14,11,10,9]
[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)] => [3,5,2,7,4,9,6,13,8,15,17,18,12,19,14,20,16,11,10,1]
[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)] => [3,5,2,6,4,1,11,13,15,16,10,17,12,18,14,9,8,7]
[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)] => [3,5,2,7,4,11,6,13,15,17,10,18,12,19,14,20,16,9,8,1]
[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)] => [3,4,2,1,9,11,13,15,8,16,10,17,12,18,14,7,6,5]
[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)] => [3,5,2,9,4,11,13,15,8,17,10,18,12,19,14,20,16,7,6,1]
[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)] => [3,7,2,9,11,13,6,15,8,17,10,18,12,19,14,20,16,5,4,1]
[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)] => [5,7,9,11,4,13,6,15,8,17,10,18,12,19,14,20,16,3,2,1]
[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)] => [3,4,2,1,7,13,6,14,15,16,17,18,12,11,10,9,8,5]
[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)] => [4,9,10,3,11,12,13,14,8,7,6,5,2,1,17,18,16,15]
[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)] => [4,5,6,3,2,1,10,14,15,9,16,17,18,13,12,11,8,7]
[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)] => [5,8,9,10,4,11,12,7,6,3,2,1,16,17,18,15,14,13]
[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)] => [5,6,7,8,4,3,2,1,13,15,16,17,12,18,14,11,10,9]
[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)] => [7,8,9,10,11,12,6,5,4,3,2,1,15,17,14,18,16,13]
[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)] => [10,11,12,13,14,15,16,18,19,9,8,7,6,5,4,3,20,17,2,1]
[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)] => [6,7,8,9,10,5,4,3,2,1,14,16,17,13,18,15,12,11]
[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)] => [10,11,12,13,14,15,17,18,19,9,8,7,6,5,4,20,16,3,2,1]
[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)] => [10,11,12,13,14,16,17,18,19,9,8,7,6,5,20,15,4,3,2,1]
[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)] => [4,5,6,3,2,1,12,14,15,16,17,11,18,13,10,9,8,7]
[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)] => [10,11,12,13,15,16,17,18,19,9,8,7,6,20,14,5,4,3,2,1]
[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)] => [10,11,12,14,15,16,17,18,19,9,8,7,20,13,6,5,4,3,2,1]
[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)] => [2,1,4,3,7,8,6,5,10,9,13,15,12,17,14,18,16,11]
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
non-nesting-exceedence permutation
Description
The fixed-point-free permutation with deficiencies given by the perfect matching, no alignments and no inversions between exceedences.
Put differently, the exceedences form the unique non-nesting perfect matching whose openers coincide with those of the given perfect matching.
Put differently, the exceedences form the unique non-nesting perfect matching whose openers coincide with those of the given perfect matching.
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