Identifier
Mp00129:
Dyck paths
—to 321-avoiding permutation (Billey-Jockusch-Stanley)⟶
Permutations
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Images
[1,0] => [1] => [1,0] => [[1],[2]]
[1,0,1,0] => [2,1] => [1,1,0,0] => [[1,2],[3,4]]
[1,1,0,0] => [1,2] => [1,0,1,0] => [[1,3],[2,4]]
[1,0,1,0,1,0] => [2,3,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]]
[1,0,1,1,0,0] => [2,1,3] => [1,1,0,0,1,0] => [[1,2,5],[3,4,6]]
[1,1,0,0,1,0] => [1,3,2] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]]
[1,1,0,1,0,0] => [3,1,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]]
[1,1,1,0,0,0] => [1,2,3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]]
[1,0,1,0,1,0,1,0] => [2,3,4,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]]
[1,0,1,0,1,1,0,0] => [2,3,1,4] => [1,1,0,1,0,0,1,0] => [[1,2,4,7],[3,5,6,8]]
[1,0,1,1,0,0,1,0] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => [[1,2,5,6],[3,4,7,8]]
[1,0,1,1,0,1,0,0] => [2,4,1,3] => [1,1,0,1,1,0,0,0] => [[1,2,4,5],[3,6,7,8]]
[1,0,1,1,1,0,0,0] => [2,1,3,4] => [1,1,0,0,1,0,1,0] => [[1,2,5,7],[3,4,6,8]]
[1,1,0,0,1,0,1,0] => [1,3,4,2] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]]
[1,1,0,0,1,1,0,0] => [1,3,2,4] => [1,0,1,1,0,0,1,0] => [[1,3,4,7],[2,5,6,8]]
[1,1,0,1,0,0,1,0] => [3,1,4,2] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]]
[1,1,0,1,0,1,0,0] => [3,4,1,2] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]]
[1,1,0,1,1,0,0,0] => [3,1,2,4] => [1,1,1,0,0,0,1,0] => [[1,2,3,7],[4,5,6,8]]
[1,1,1,0,0,0,1,0] => [1,2,4,3] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]]
[1,1,1,0,0,1,0,0] => [1,4,2,3] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]]
[1,1,1,0,1,0,0,0] => [4,1,2,3] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]]
[1,1,1,1,0,0,0,0] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]]
[1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]]
[1,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,9],[3,5,7,8,10]]
[1,0,1,0,1,1,0,0,1,0] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => [[1,2,4,7,8],[3,5,6,9,10]]
[1,0,1,0,1,1,0,1,0,0] => [2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,7],[3,5,8,9,10]]
[1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => [[1,2,4,7,9],[3,5,6,8,10]]
[1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => [[1,2,5,6,8],[3,4,7,9,10]]
[1,0,1,1,0,0,1,1,0,0] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9],[3,4,7,8,10]]
[1,0,1,1,0,1,0,0,1,0] => [2,4,1,5,3] => [1,1,0,1,1,0,0,1,0,0] => [[1,2,4,5,8],[3,6,7,9,10]]
[1,0,1,1,0,1,0,1,0,0] => [2,4,5,1,3] => [1,1,0,1,1,0,1,0,0,0] => [[1,2,4,5,7],[3,6,8,9,10]]
[1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => [[1,2,4,5,9],[3,6,7,8,10]]
[1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => [[1,2,5,7,8],[3,4,6,9,10]]
[1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,7],[3,4,8,9,10]]
[1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0] => [[1,2,4,5,6],[3,7,8,9,10]]
[1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => [[1,2,5,7,9],[3,4,6,8,10]]
[1,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]]
[1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0] => [[1,3,4,6,9],[2,5,7,8,10]]
[1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8],[2,5,6,9,10]]
[1,1,0,0,1,1,0,1,0,0] => [1,3,5,2,4] => [1,0,1,1,0,1,1,0,0,0] => [[1,3,4,6,7],[2,5,8,9,10]]
[1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,9],[2,5,6,8,10]]
[1,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]]
[1,1,0,1,0,0,1,1,0,0] => [3,1,4,2,5] => [1,1,1,0,0,1,0,0,1,0] => [[1,2,3,6,9],[4,5,7,8,10]]
[1,1,0,1,0,1,0,0,1,0] => [3,4,1,5,2] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]]
[1,1,0,1,0,1,0,1,0,0] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]]
[1,1,0,1,0,1,1,0,0,0] => [3,4,1,2,5] => [1,1,1,0,1,0,0,0,1,0] => [[1,2,3,5,9],[4,6,7,8,10]]
[1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] => [1,1,1,0,0,0,1,1,0,0] => [[1,2,3,7,8],[4,5,6,9,10]]
[1,1,0,1,1,0,0,1,0,0] => [3,1,5,2,4] => [1,1,1,0,0,1,1,0,0,0] => [[1,2,3,6,7],[4,5,8,9,10]]
[1,1,0,1,1,0,1,0,0,0] => [3,5,1,2,4] => [1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]]
[1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => [1,1,1,0,0,0,1,0,1,0] => [[1,2,3,7,9],[4,5,6,8,10]]
[1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]]
[1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0] => [[1,3,5,6,9],[2,4,7,8,10]]
[1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]]
[1,1,1,0,0,1,0,1,0,0] => [1,4,5,2,3] => [1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]]
[1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => [1,0,1,1,1,0,0,0,1,0] => [[1,3,4,5,9],[2,6,7,8,10]]
[1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]]
[1,1,1,0,1,0,0,1,0,0] => [4,1,5,2,3] => [1,1,1,1,0,0,1,0,0,0] => [[1,2,3,4,7],[5,6,8,9,10]]
[1,1,1,0,1,0,1,0,0,0] => [4,5,1,2,3] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]]
[1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => [1,1,1,1,0,0,0,0,1,0] => [[1,2,3,4,9],[5,6,7,8,10]]
[1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]]
[1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]]
[1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]]
[1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]]
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]]
[1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]]
[1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,11],[3,5,7,9,10,12]]
[1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,9,10],[3,5,7,8,11,12]]
[1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,9],[3,5,7,10,11,12]]
[1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,9,11],[3,5,7,8,10,12]]
[1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[1,2,4,7,8,10],[3,5,6,9,11,12]]
[1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,7,8,11],[3,5,6,9,10,12]]
[1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,5,1,6,4] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,7,10],[3,5,8,9,11,12]]
[1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,5,6,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,7,9],[3,5,8,10,11,12]]
[1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[1,2,4,6,7,11],[3,5,8,9,10,12]]
[1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[1,2,4,7,9,10],[3,5,6,8,11,12]]
[1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,7,8,9],[3,5,6,10,11,12]]
[1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,7,8],[3,5,9,10,11,12]]
[1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,7,9,11],[3,5,6,8,10,12]]
[1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,5,6,8,10],[3,4,7,9,11,12]]
[1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [[1,2,5,6,8,11],[3,4,7,9,10,12]]
[1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]]
[1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[1,2,5,6,8,9],[3,4,7,10,11,12]]
[1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,0,1,1,0,1,0,0,1,0,1,0] => [2,4,1,5,6,3] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,5,8,10],[3,6,7,9,11,12]]
[1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,5,3,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [[1,2,4,5,8,11],[3,6,7,9,10,12]]
[1,0,1,1,0,1,0,1,0,0,1,0] => [2,4,5,1,6,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,5,7,10],[3,6,8,9,11,12]]
[1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,5,6,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9],[3,6,8,10,11,12]]
[1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[1,2,4,5,7,11],[3,6,8,9,10,12]]
[1,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[1,2,4,5,9,10],[3,6,7,8,11,12]]
[1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,3,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,4,5,8,9],[3,6,7,10,11,12]]
[1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,3,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,5,7,8],[3,6,9,10,11,12]]
[1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,5,9,11],[3,6,7,8,10,12]]
[1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,8,10],[3,4,6,9,11,12]]
[1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,5,6,7,10],[3,4,8,9,11,12]]
[1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,6,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[1,2,5,6,7,9],[3,4,8,10,11,12]]
[1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,7,11],[3,4,8,9,10,12]]
[1,0,1,1,1,0,1,0,0,0,1,0] => [2,5,1,3,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,4,5,6,10],[3,7,8,9,11,12]]
[1,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,3,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[1,2,4,5,6,9],[3,7,8,10,11,12]]
[1,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,3,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,5,6,8],[3,7,9,10,11,12]]
[1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [[1,2,4,5,6,11],[3,7,8,9,10,12]]
>>> Load all 2384 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,10],[3,4,6,8,11,12]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,8,9],[3,4,6,10,11,12]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,4,5,6,7],[3,8,9,10,11,12]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11],[3,4,6,8,10,12]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,4,6,8,11],[2,5,7,9,10,12]]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [[1,3,4,6,9,10],[2,5,7,8,11,12]]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,6,2,5] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,9],[2,5,7,10,11,12]]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,4,6,9,11],[2,5,7,8,10,12]]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [[1,3,4,7,8,10],[2,5,6,9,11,12]]
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,5,2,6,4] => [1,0,1,1,0,1,1,0,0,1,0,0] => [[1,3,4,6,7,10],[2,5,8,9,11,12]]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,5,6,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[1,3,4,6,7,9],[2,5,8,10,11,12]]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [[1,3,4,6,7,11],[2,5,8,9,10,12]]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,4,7,9,10],[2,5,6,8,11,12]]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,5] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,6,2,4,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[1,3,4,6,7,8],[2,5,9,10,11,12]]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,5,6,2] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]]
[1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,4,5,2,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[1,2,3,6,8,11],[4,5,7,9,10,12]]
[1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,6,9,10],[4,5,7,8,11,12]]
[1,1,0,1,0,0,1,1,0,1,0,0] => [3,1,4,6,2,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[1,2,3,6,8,9],[4,5,7,10,11,12]]
[1,1,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[1,2,3,6,9,11],[4,5,7,8,10,12]]
[1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]]
[1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,5,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[1,2,3,5,8,11],[4,6,7,9,10,12]]
[1,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,1,6,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,10],[4,6,8,9,11,12]]
[1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9],[4,6,8,10,11,12]]
[1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,11],[4,6,8,9,10,12]]
[1,1,0,1,0,1,1,0,0,0,1,0] => [3,4,1,2,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,9,10],[4,6,7,8,11,12]]
[1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,5,8,9],[4,6,7,10,11,12]]
[1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,8],[4,6,9,10,11,12]]
[1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,9,11],[4,6,7,8,10,12]]
[1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,7,8,10],[4,5,6,9,11,12]]
[1,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,7,8,11],[4,5,6,9,10,12]]
[1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,3,6,7,10],[4,5,8,9,11,12]]
[1,1,0,1,1,0,0,1,0,1,0,0] => [3,1,5,6,2,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[1,2,3,6,7,9],[4,5,8,10,11,12]]
[1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[1,2,3,6,7,11],[4,5,8,9,10,12]]
[1,1,0,1,1,0,1,0,0,0,1,0] => [3,5,1,2,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,10],[4,7,8,9,11,12]]
[1,1,0,1,1,0,1,0,0,1,0,0] => [3,5,1,6,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[1,2,3,5,6,9],[4,7,8,10,11,12]]
[1,1,0,1,1,0,1,0,1,0,0,0] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,6,8],[4,7,9,10,11,12]]
[1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [[1,2,3,5,6,11],[4,7,8,9,10,12]]
[1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,7,9,10],[4,5,6,8,11,12]]
[1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]]
[1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[1,2,3,6,7,8],[4,5,9,10,11,12]]
[1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,6,7],[4,8,9,10,11,12]]
[1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,7,9,11],[4,5,6,8,10,12]]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,6,8,11],[2,4,7,9,10,12]]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10],[2,4,7,8,11,12]]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,4,6,3,5] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,6,8,9],[2,4,7,10,11,12]]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,6,3] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [[1,3,4,5,8,11],[2,6,7,9,10,12]]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,5,2,6,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,10],[2,6,8,9,11,12]]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,5,6,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9],[2,6,8,10,11,12]]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [[1,3,4,5,7,11],[2,6,8,9,10,12]]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => [[1,3,4,5,8,9],[2,6,7,10,11,12]]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,8],[2,6,9,10,11,12]]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,4,5,9,11],[2,6,7,8,10,12]]
[1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,2,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]]
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,1,2,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,8,11],[5,6,7,9,10,12]]
[1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,7,10],[5,6,8,9,11,12]]
[1,1,1,0,1,0,0,1,0,1,0,0] => [4,1,5,6,2,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[1,2,3,4,7,9],[5,6,8,10,11,12]]
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[1,2,3,4,7,11],[5,6,8,9,10,12]]
[1,1,1,0,1,0,1,0,0,0,1,0] => [4,5,1,2,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]]
[1,1,1,0,1,0,1,0,0,1,0,0] => [4,5,1,6,2,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,6,9],[5,7,8,10,11,12]]
[1,1,1,0,1,0,1,0,1,0,0,0] => [4,5,6,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8],[5,7,9,10,11,12]]
[1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,11],[5,7,8,9,10,12]]
[1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,9,10],[5,6,7,8,11,12]]
[1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[1,2,3,4,8,9],[5,6,7,10,11,12]]
[1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,7,8],[5,6,9,10,11,12]]
[1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,7],[5,8,9,10,11,12]]
[1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,3,4,9,11],[5,6,7,8,10,12]]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,8,11],[2,4,6,9,10,12]]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,6,7,9],[2,4,8,10,11,12]]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,6,7,11],[2,4,8,9,10,12]]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [[1,3,4,5,6,9],[2,7,8,10,11,12]]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,8],[2,7,9,10,11,12]]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,4,5,6,11],[2,7,8,9,10,12]]
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,10],[6,7,8,9,11,12]]
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[1,2,3,4,5,9],[6,7,8,10,11,12]]
[1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,8],[6,7,9,10,11,12]]
[1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7],[6,8,9,10,11,12]]
[1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,11],[6,7,8,9,10,12]]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]]
[1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6],[7,8,9,10,11,12]]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11],[2,4,6,8,10,12]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12],[3,5,7,9,11,13,14]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,10,13],[3,5,7,9,11,12,14]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,8,11,12],[3,5,7,9,10,13,14]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,10,11],[3,5,7,9,12,13,14]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,8,11,13],[3,5,7,9,10,12,14]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[1,2,4,6,9,10,12],[3,5,7,8,11,13,14]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,4,6,1,7,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,8,9,12],[3,5,7,10,11,13,14]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,6,7,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,8,9,11],[3,5,7,10,12,13,14]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[1,2,4,6,8,9,13],[3,5,7,10,11,12,14]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[1,2,4,6,9,11,12],[3,5,7,8,10,13,14]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,6,9,10,11],[3,5,7,8,12,13,14]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,8,9,10],[3,5,7,11,12,13,14]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,4,7,8,10,12],[3,5,6,9,11,13,14]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[1,2,4,7,8,10,11],[3,5,6,9,12,13,14]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,3,5,1,6,7,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,6,7,10,12],[3,5,8,9,11,13,14]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,3,5,1,6,4,7] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[1,2,4,6,7,10,13],[3,5,8,9,11,12,14]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,3,5,6,1,7,4] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,6,7,9,12],[3,5,8,10,11,13,14]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,5,6,7,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,6,7,9,11],[3,5,8,10,12,13,14]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,5,6,1,4,7] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[1,2,4,6,7,9,13],[3,5,8,10,11,12,14]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,7,6] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[1,2,4,6,7,11,12],[3,5,8,9,10,13,14]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,5,1,7,4,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,4,6,7,10,11],[3,5,8,9,12,13,14]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,5,7,1,4,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,6,7,9,10],[3,5,8,11,12,13,14]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,6,7,11,13],[3,5,8,9,10,12,14]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,6,4,7,5] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,4,7,8,9,12],[3,5,6,10,11,13,14]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,7,4,5] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[1,2,4,7,8,9,11],[3,5,6,10,12,13,14]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,4,7,8,9,13],[3,5,6,10,11,12,14]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,3,6,1,4,7,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,4,6,7,8,12],[3,5,9,10,11,13,14]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,6,1,7,4,5] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[1,2,4,6,7,8,11],[3,5,9,10,12,13,14]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,6,7,1,4,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,7,8,10],[3,5,9,11,12,13,14]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[1,2,4,6,7,8,13],[3,5,9,10,11,12,14]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,4,7,9,10,11],[3,5,6,8,12,13,14]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,4,7,8,9,10],[3,5,6,11,12,13,14]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,4,6,7,8,9],[3,5,10,11,12,13,14]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,6,7,3,5] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,2,5,6,8,9,11],[3,4,7,10,12,13,14]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[1,2,5,6,8,9,10],[3,4,7,11,12,13,14]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,4,1,5,6,7,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,4,5,8,10,12],[3,6,7,9,11,13,14]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,4,1,5,6,3,7] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[1,2,4,5,8,10,13],[3,6,7,9,11,12,14]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,4,1,5,3,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,4,5,8,11,12],[3,6,7,9,10,13,14]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,4,1,5,7,3,6] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[1,2,4,5,8,10,11],[3,6,7,9,12,13,14]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,4,1,5,3,6,7] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[1,2,4,5,8,11,13],[3,6,7,9,10,12,14]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,4,5,1,6,7,3] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,4,5,7,10,12],[3,6,8,9,11,13,14]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,5,1,6,3,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[1,2,4,5,7,10,13],[3,6,8,9,11,12,14]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,4,5,6,1,7,3] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,4,5,7,9,12],[3,6,8,10,11,13,14]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,5,6,7,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9,11],[3,6,8,10,12,13,14]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,6,1,3,7] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[1,2,4,5,7,9,13],[3,6,8,10,11,12,14]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,4,5,1,3,7,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[1,2,4,5,7,11,12],[3,6,8,9,10,13,14]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,4,5,1,7,3,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[1,2,4,5,7,10,11],[3,6,8,9,12,13,14]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,7,1,3,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,4,5,7,9,10],[3,6,8,11,12,13,14]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,1,3,6,7] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,4,5,7,11,13],[3,6,8,9,10,12,14]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,6,7,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,9,10,12],[3,6,7,8,11,13,14]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,4,5,9,10,13],[3,6,7,8,11,12,14]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,6,3,7,5] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,4,5,8,9,12],[3,6,7,10,11,13,14]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,6,7,3,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[1,2,4,5,8,9,11],[3,6,7,10,12,13,14]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[1,2,4,5,8,9,13],[3,6,7,10,11,12,14]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,6,1,3,7,5] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,4,5,7,8,12],[3,6,9,10,11,13,14]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,6,1,7,3,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[1,2,4,5,7,8,11],[3,6,9,10,12,13,14]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,6,7,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,4,5,7,8,10],[3,6,9,11,12,13,14]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[1,2,4,5,7,8,13],[3,6,9,10,11,12,14]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,4,1,3,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[1,2,4,5,9,11,12],[3,6,7,8,10,13,14]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,3,7,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,4,5,9,10,11],[3,6,7,8,12,13,14]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,1,7,3,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[1,2,4,5,8,9,10],[3,6,7,11,12,13,14]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,7,1,3,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,4,5,7,8,9],[3,6,10,11,12,13,14]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,4,5,9,11,13],[3,6,7,8,10,12,14]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[1,2,5,6,7,10,12],[3,4,8,9,11,13,14]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[1,2,5,6,7,10,13],[3,4,8,9,11,12,14]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,5,6,7,9,12],[3,4,8,10,11,13,14]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,1,5,6,7,3,4] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[1,2,5,6,7,9,11],[3,4,8,10,12,13,14]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,5,6,3,4,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[1,2,5,6,7,9,13],[3,4,8,10,11,12,14]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,5,3,4,7,6] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[1,2,5,6,7,10,11],[3,4,8,9,12,13,14]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,5,7,3,4,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[1,2,5,6,7,9,10],[3,4,8,11,12,13,14]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,5,1,3,6,7,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,4,5,6,10,12],[3,7,8,9,11,13,14]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,5,1,3,6,4,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[1,2,4,5,6,10,13],[3,7,8,9,11,12,14]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,5,1,6,3,7,4] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[1,2,4,5,6,9,12],[3,7,8,10,11,13,14]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,5,1,6,7,3,4] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[1,2,4,5,6,9,11],[3,7,8,10,12,13,14]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,5,1,6,3,4,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,9,13],[3,7,8,10,11,12,14]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,5,6,1,3,7,4] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,4,5,6,8,12],[3,7,9,10,11,13,14]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,5,6,1,7,3,4] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,4,5,6,8,11],[3,7,9,10,12,13,14]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,5,6,7,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,6,8,10],[3,7,9,11,12,13,14]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,5,6,1,3,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[1,2,4,5,6,8,13],[3,7,9,10,11,12,14]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1,3,4,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,4,5,6,11,12],[3,7,8,9,10,13,14]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,5,1,3,7,4,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[1,2,4,5,6,10,11],[3,7,8,9,12,13,14]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,5,1,7,3,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[1,2,4,5,6,9,10],[3,7,8,11,12,13,14]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,5,7,1,3,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[1,2,4,5,6,8,9],[3,7,10,11,12,13,14]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,4,5,6,11,13],[3,7,8,9,10,12,14]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,7,5] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[1,2,5,7,8,9,12],[3,4,6,10,11,13,14]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,6,7,4,5] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[1,2,5,7,8,9,13],[3,4,6,10,11,12,14]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,6,3,4,7,5] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[1,2,5,6,7,8,12],[3,4,9,10,11,13,14]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[1,2,5,6,7,8,11],[3,4,9,10,12,13,14]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,7,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,5,6,7,8,10],[3,4,9,11,12,13,14]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,6,1,3,4,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,4,5,6,7,12],[3,8,9,10,11,13,14]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6,1,3,7,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[1,2,4,5,6,7,11],[3,8,9,10,12,13,14]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6,1,7,3,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,4,5,6,7,10],[3,8,9,11,12,13,14]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6,7,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,4,5,6,7,9],[3,8,10,11,12,13,14]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,5,7,8,9,10],[3,4,6,11,12,13,14]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,5,6,7,8],[3,9,10,11,12,13,14]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12],[2,5,7,9,11,13,14]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,3,4,5,6,2,7] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[1,3,4,6,8,10,13],[2,5,7,9,11,12,14]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,4,5,2,7,6] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[1,3,4,6,8,11,12],[2,5,7,9,10,13,14]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,3,4,5,7,2,6] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,10,11],[2,5,7,9,12,13,14]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,2,6,7] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[1,3,4,6,8,11,13],[2,5,7,9,10,12,14]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,3,4,2,6,7,5] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[1,3,4,6,9,10,12],[2,5,7,8,11,13,14]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,3,4,2,6,5,7] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,3,4,6,2,7,5] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[1,3,4,6,8,9,12],[2,5,7,10,11,13,14]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,4,6,7,2,5] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[1,3,4,6,8,9,11],[2,5,7,10,12,13,14]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,4,6,2,5,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[1,3,4,6,8,9,13],[2,5,7,10,11,12,14]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,4,2,5,7,6] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[1,3,4,6,9,11,12],[2,5,7,8,10,13,14]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,4,2,7,5,6] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[1,3,4,6,9,10,11],[2,5,7,8,12,13,14]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,4,7,2,5,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[1,3,4,6,8,9,10],[2,5,7,11,12,13,14]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[1,3,4,6,9,11,13],[2,5,7,8,10,12,14]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,6,7,4] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[1,3,4,7,8,10,12],[2,5,6,9,11,13,14]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,5,6,4,7] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,7,4,6] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[1,3,4,7,8,10,11],[2,5,6,9,12,13,14]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,6,7] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,3,5,2,6,7,4] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[1,3,4,6,7,10,12],[2,5,8,9,11,13,14]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,3,5,2,6,4,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[1,3,4,6,7,10,13],[2,5,8,9,11,12,14]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,5,6,2,7,4] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[1,3,4,6,7,9,12],[2,5,8,10,11,13,14]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,5,6,7,2,4] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[1,3,4,6,7,9,11],[2,5,8,10,12,13,14]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,3,5,6,2,4,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[1,3,4,6,7,9,13],[2,5,8,10,11,12,14]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,7,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[1,3,4,6,7,11,12],[2,5,8,9,10,13,14]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,7,4,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[1,3,4,6,7,10,11],[2,5,8,9,12,13,14]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,7,2,4,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[1,3,4,6,7,9,10],[2,5,8,11,12,13,14]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[1,3,4,6,7,11,13],[2,5,8,9,10,12,14]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,4,6,7,5] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2,4,6,5,7] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[1,3,4,7,8,9,12],[2,5,6,10,11,13,14]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,3,2,6,7,4,5] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[1,3,4,7,8,9,11],[2,5,6,10,12,13,14]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,5,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,3,6,2,4,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[1,3,4,6,7,8,12],[2,5,9,10,11,13,14]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,6,2,7,4,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[1,3,4,6,7,8,11],[2,5,9,10,12,13,14]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,3,6,7,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[1,3,4,6,7,8,10],[2,5,9,11,12,13,14]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[1,3,4,6,7,8,13],[2,5,9,10,11,12,14]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12],[4,5,7,9,11,13,14]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,4,5,6,2,7] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,6,8,10,13],[4,5,7,9,11,12,14]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,5,2,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[1,2,3,6,8,11,12],[4,5,7,9,10,13,14]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,4,5,7,2,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[1,2,3,6,8,10,11],[4,5,7,9,12,13,14]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,4,5,2,6,7] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[1,2,3,6,9,10,12],[4,5,7,8,11,13,14]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[1,2,3,6,9,10,13],[4,5,7,8,11,12,14]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[1,2,3,6,8,9,12],[4,5,7,10,11,13,14]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,1,4,6,7,2,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[1,2,3,6,8,9,11],[4,5,7,10,12,13,14]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,6,2,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[1,2,3,6,8,9,13],[4,5,7,10,11,12,14]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,2,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[1,2,3,6,9,11,12],[4,5,7,8,10,13,14]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[1,2,3,6,9,10,11],[4,5,7,8,12,13,14]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,1,4,7,2,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[1,2,3,6,8,9,10],[4,5,7,11,12,13,14]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4,2,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,6,9,11,13],[4,5,7,8,10,12,14]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,5,8,10,12],[4,6,7,9,11,13,14]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[1,2,3,5,8,10,13],[4,6,7,9,11,12,14]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,5,8,11,12],[4,6,7,9,10,13,14]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[1,2,3,5,8,10,11],[4,6,7,9,12,13,14]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,4,1,5,2,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[1,2,3,5,8,11,13],[4,6,7,9,10,12,14]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,7,10,12],[4,6,8,9,11,13,14]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,4,5,1,6,2,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[1,2,3,5,7,10,13],[4,6,8,9,11,12,14]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,6,1,7,2] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,9,12],[4,6,8,10,11,13,14]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9,11],[4,6,8,10,12,13,14]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,9,13],[4,6,8,10,11,12,14]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,4,5,1,2,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,7,11,12],[4,6,8,9,10,13,14]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,5,7,10,11],[4,6,8,9,12,13,14]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,9,10],[4,6,8,11,12,13,14]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,7,11,13],[4,6,8,9,10,12,14]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,5,9,10,12],[4,6,7,8,11,13,14]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,5,9,10,13],[4,6,7,8,11,12,14]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,4,1,6,2,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[1,2,3,5,8,9,12],[4,6,7,10,11,13,14]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [3,4,1,6,7,2,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[1,2,3,5,8,9,11],[4,6,7,10,12,13,14]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[1,2,3,5,8,9,13],[4,6,7,10,11,12,14]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,4,6,1,2,7,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,7,8,12],[4,6,9,10,11,13,14]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [3,4,6,1,7,2,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[1,2,3,5,7,8,11],[4,6,9,10,12,13,14]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,7,8,10],[4,6,9,11,12,13,14]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[1,2,3,5,7,8,13],[4,6,9,10,11,12,14]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,1,2,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,5,9,11,12],[4,6,7,8,10,13,14]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,5,9,10,11],[4,6,7,8,12,13,14]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[1,2,3,5,8,9,10],[4,6,7,11,12,13,14]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,7,8,9],[4,6,10,11,12,13,14]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,5,9,11,13],[4,6,7,8,10,12,14]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,5,6,4,7] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[1,2,3,7,8,10,13],[4,5,6,9,11,12,14]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[1,2,3,7,8,10,11],[4,5,6,9,12,13,14]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,5,4,6,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[1,2,3,7,8,11,13],[4,5,6,9,10,12,14]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,7,10,12],[4,5,8,9,11,13,14]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[1,2,3,6,7,10,13],[4,5,8,9,11,12,14]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[1,2,3,6,7,9,12],[4,5,8,10,11,13,14]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [3,1,5,6,7,2,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[1,2,3,6,7,9,11],[4,5,8,10,12,13,14]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [3,1,5,6,2,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[1,2,3,6,7,9,13],[4,5,8,10,11,12,14]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[1,2,3,6,7,11,12],[4,5,8,9,10,13,14]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,2,3,6,7,10,11],[4,5,8,9,12,13,14]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,7,2,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[1,2,3,6,7,9,10],[4,5,8,11,12,13,14]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[1,2,3,6,7,11,13],[4,5,8,9,10,12,14]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,5,1,2,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,5,6,10,12],[4,7,8,9,11,13,14]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,5,1,2,6,4,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[1,2,3,5,6,10,13],[4,7,8,9,11,12,14]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,5,1,6,2,7,4] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[1,2,3,5,6,9,12],[4,7,8,10,11,13,14]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [3,5,1,6,7,2,4] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[1,2,3,5,6,9,11],[4,7,8,10,12,13,14]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [3,5,1,6,2,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[1,2,3,5,6,9,13],[4,7,8,10,11,12,14]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,5,6,1,2,7,4] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,5,6,8,12],[4,7,9,10,11,13,14]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [3,5,6,1,7,2,4] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[1,2,3,5,6,8,11],[4,7,9,10,12,13,14]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [3,5,6,7,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,5,6,8,10],[4,7,9,11,12,13,14]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,5,6,11,12],[4,7,8,9,10,13,14]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[1,2,3,5,6,10,11],[4,7,8,9,12,13,14]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[1,2,3,5,6,9,10],[4,7,8,11,12,13,14]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[1,2,3,5,6,8,9],[4,7,10,11,12,13,14]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[1,2,3,5,6,11,13],[4,7,8,9,10,12,14]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,2,4,6,7,5] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,1,2,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[1,2,3,7,9,10,13],[4,5,6,8,11,12,14]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,1,2,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[1,2,3,7,8,9,11],[4,5,6,10,12,13,14]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,6,2,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[1,2,3,6,7,8,12],[4,5,9,10,11,13,14]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [3,1,6,7,2,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[1,2,3,6,7,8,10],[4,5,9,11,12,13,14]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[1,2,3,6,7,8,13],[4,5,9,10,11,12,14]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1,2,4,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,5,6,7,12],[4,8,9,10,11,13,14]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [3,6,1,2,7,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[1,2,3,5,6,7,11],[4,8,9,10,12,13,14]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,1,7,2,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,5,6,7,10],[4,8,9,11,12,13,14]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,5,6,7,9],[4,8,10,11,12,13,14]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[1,2,3,7,9,11,12],[4,5,6,8,10,13,14]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[1,2,3,7,9,10,11],[4,5,6,8,12,13,14]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[1,2,3,6,7,8,9],[4,5,10,11,12,13,14]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,5,6,7,8],[4,9,10,11,12,13,14]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13],[4,5,6,8,10,12,14]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,2,4,5,6,3,7] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,2,4,5,7,3,6] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[1,3,5,6,8,10,11],[2,4,7,9,12,13,14]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,2,4,5,3,6,7] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,7,5] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,7] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,2,4,6,3,7,5] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,2,4,6,7,3,5] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[1,3,5,6,8,9,11],[2,4,7,10,12,13,14]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,5,7,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,5,6] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,2,4,7,3,5,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[1,3,5,6,8,9,10],[2,4,7,11,12,13,14]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,6,7,3] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,3,4,5,8,10,12],[2,6,7,9,11,13,14]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,2,5,6,3,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[1,3,4,5,8,10,13],[2,6,7,9,11,12,14]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[1,3,4,5,8,11,12],[2,6,7,9,10,13,14]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,2,5,7,3,6] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[1,3,4,5,8,10,11],[2,6,7,9,12,13,14]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[1,3,4,5,8,11,13],[2,6,7,9,10,12,14]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,4,5,2,6,7,3] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[1,3,4,5,7,10,12],[2,6,8,9,11,13,14]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,4,5,2,6,3,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[1,3,4,5,7,10,13],[2,6,8,9,11,12,14]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,4,5,6,2,7,3] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,9,12],[2,6,8,10,11,13,14]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,5,6,7,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9,11],[2,6,8,10,12,13,14]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,2,3,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[1,3,4,5,7,9,13],[2,6,8,10,11,12,14]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,5,2,3,7,6] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[1,3,4,5,7,11,12],[2,6,8,9,10,13,14]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,5,2,7,3,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[1,3,4,5,7,10,11],[2,6,8,9,12,13,14]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,7,2,3,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,9,10],[2,6,8,11,12,13,14]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[1,3,4,5,7,11,13],[2,6,8,9,10,12,14]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,3,6,7,5] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[1,3,4,5,9,10,12],[2,6,7,8,11,13,14]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[1,3,4,5,8,9,12],[2,6,7,10,11,13,14]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,7,3,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[1,3,4,5,8,9,11],[2,6,7,10,12,13,14]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[1,3,4,5,8,9,13],[2,6,7,10,11,12,14]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,6,2,3,7,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[1,3,4,5,7,8,12],[2,6,9,10,11,13,14]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,6,2,7,3,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[1,3,4,5,7,8,11],[2,6,9,10,12,13,14]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,7,2,3,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[1,3,4,5,7,8,13],[2,6,9,10,11,12,14]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[1,3,4,5,8,9,10],[2,6,7,11,12,13,14]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13],[2,6,7,8,10,12,14]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,2,5,6,7,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,1,2,5,6,3,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[1,2,3,4,8,10,13],[5,6,7,9,11,12,14]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,2,5,3,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[1,2,3,4,8,11,12],[5,6,7,9,10,13,14]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,1,2,5,7,3,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[1,2,3,4,8,10,11],[5,6,7,9,12,13,14]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,1,2,5,3,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[1,2,3,4,8,11,13],[5,6,7,9,10,12,14]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[1,2,3,4,7,10,12],[5,6,8,9,11,13,14]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,4,7,10,13],[5,6,8,9,11,12,14]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[1,2,3,4,7,9,12],[5,6,8,10,11,13,14]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,1,5,6,7,2,3] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,7,9,11],[5,6,8,10,12,13,14]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,1,5,6,2,3,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[1,2,3,4,7,9,13],[5,6,8,10,11,12,14]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,5,2,3,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[1,2,3,4,7,11,12],[5,6,8,9,10,13,14]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[1,2,3,4,7,10,11],[5,6,8,9,12,13,14]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,7,2,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[1,2,3,4,7,9,10],[5,6,8,11,12,13,14]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[1,2,3,4,7,11,13],[5,6,8,9,10,12,14]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [4,5,1,2,6,7,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,6,10,12],[5,7,8,9,11,13,14]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [4,5,1,2,6,3,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,6,10,13],[5,7,8,9,11,12,14]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [4,5,1,6,2,7,3] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,6,9,12],[5,7,8,10,11,13,14]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [4,5,1,6,7,2,3] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[1,2,3,4,6,9,11],[5,7,8,10,12,13,14]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,5,1,6,2,3,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [4,5,6,1,2,7,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,8,12],[5,7,9,10,11,13,14]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [4,5,6,1,7,2,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,6,8,11],[5,7,9,10,12,13,14]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,1,2,3,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,6,11,12],[5,7,8,9,10,13,14]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,1,2,7,3,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,1,7,2,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,6,9,10],[5,7,8,11,12,13,14]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,7,1,2,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,8,9],[5,7,10,11,12,13,14]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[1,2,3,4,6,11,13],[5,7,8,9,10,12,14]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,9,10,12],[5,6,7,8,11,13,14]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,9,10,13],[5,6,7,8,11,12,14]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[1,2,3,4,8,9,12],[5,6,7,10,11,13,14]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,6,7,3,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[1,2,3,4,8,9,11],[5,6,7,10,12,13,14]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[1,2,3,4,8,9,13],[5,6,7,10,11,12,14]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,6,2,3,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[1,2,3,4,7,8,12],[5,6,9,10,11,13,14]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[1,2,3,4,7,8,11],[5,6,9,10,12,13,14]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,1,6,7,2,3,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[1,2,3,4,7,8,10],[5,6,9,11,12,13,14]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,6,1,2,3,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,6,7,12],[5,8,9,10,11,13,14]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,2,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[1,2,3,4,6,7,11],[5,8,9,10,12,13,14]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,6,1,7,2,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,6,7,10],[5,8,9,11,12,13,14]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,6,7,1,2,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,6,7,9],[5,8,10,11,12,13,14]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[1,2,3,4,9,11,12],[5,6,7,8,10,13,14]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[1,2,3,4,8,9,10],[5,6,7,11,12,13,14]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[1,2,3,4,7,8,9],[5,6,10,11,12,13,14]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,6,7,8],[5,9,10,11,12,13,14]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,9,11,13],[5,6,7,8,10,12,14]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,5,6,7,10,12],[2,4,8,9,11,13,14]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[1,3,5,6,7,10,13],[2,4,8,9,11,12,14]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,5,6,7,9,12],[2,4,8,10,11,13,14]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,5,6,7,9,11],[2,4,8,10,12,13,14]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[1,3,5,6,7,10,11],[2,4,8,9,12,13,14]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,5,6,7,9,10],[2,4,8,11,12,13,14]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,3,6,7,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[1,3,4,5,6,10,12],[2,7,8,9,11,13,14]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2,3,6,4,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[1,3,4,5,6,10,13],[2,7,8,9,11,12,14]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[1,3,4,5,6,9,12],[2,7,8,10,11,13,14]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,7,3,4] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[1,3,4,5,6,9,11],[2,7,8,10,12,13,14]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[1,3,4,5,6,9,13],[2,7,8,10,11,12,14]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,5,6,2,3,7,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[1,3,4,5,6,8,12],[2,7,9,10,11,13,14]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,6,2,7,3,4] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,5,6,7,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[1,3,4,5,6,8,13],[2,7,9,10,11,12,14]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[1,3,4,5,6,10,11],[2,7,8,9,12,13,14]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,11,13],[2,7,8,9,10,12,14]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,2,3,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[1,2,3,4,5,10,12],[6,7,8,9,11,13,14]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,1,2,3,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,9,12],[6,7,8,10,11,13,14]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,2,6,7,3,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[1,2,3,4,5,9,11],[6,7,8,10,12,13,14]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,6,2,3,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[1,2,3,4,5,8,12],[6,7,9,10,11,13,14]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,8,11],[6,7,9,10,12,13,14]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,1,6,7,2,3,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,8,10],[6,7,9,11,12,13,14]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,6,1,2,3,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,7,12],[6,8,9,10,11,13,14]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,6,1,2,7,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[1,2,3,4,5,7,11],[6,8,9,10,12,13,14]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,6,1,7,2,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,7,10],[6,8,9,11,12,13,14]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,9],[6,8,10,11,12,13,14]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[1,2,3,4,5,10,11],[6,7,8,9,12,13,14]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[1,2,3,4,5,9,10],[6,7,8,11,12,13,14]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,8],[6,9,10,11,12,13,14]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,11,13],[6,7,8,9,10,12,14]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,8,9,12],[2,4,6,10,11,13,14]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,5,6,7,8,12],[2,4,9,10,11,13,14]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[1,3,5,6,7,8,11],[2,4,9,10,12,13,14]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,5,6,7,8,10],[2,4,9,11,12,13,14]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,5,6,7,8,13],[2,4,9,10,11,12,14]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,13],[2,8,9,10,11,12,14]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,12],[7,8,9,10,11,13,14]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,11],[7,8,9,10,12,13,14]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,10],[7,8,9,11,12,13,14]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9],[7,8,10,11,12,13,14]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,6,7,8,9],[2,4,10,11,12,13,14]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,8,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14],[3,5,7,9,11,13,15,16]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,7,1,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,10,12,15],[3,5,7,9,11,13,14,16]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,6,1,8,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,8,10,13,14],[3,5,7,9,11,12,15,16]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,6,8,1,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,10,12,13],[3,5,7,9,11,14,15,16]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,5,6,1,7,8] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,8,10,13,15],[3,5,7,9,11,12,14,16]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,4,5,1,7,8,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[1,2,4,6,8,11,12,14],[3,5,7,9,10,13,15,16]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6,8] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,6,8,11,12,15],[3,5,7,9,10,13,14,16]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,4,5,7,1,8,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,8,10,11,14],[3,5,7,9,12,13,15,16]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,5,7,8,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,8,10,11,13],[3,5,7,9,12,14,15,16]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,4,5,7,1,6,8] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[1,2,4,6,8,10,11,15],[3,5,7,9,12,13,14,16]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,4,5,1,6,8,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[1,2,4,6,8,11,13,14],[3,5,7,9,10,12,15,16]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,4,5,1,8,6,7] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,6,8,11,12,13],[3,5,7,9,10,14,15,16]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,4,5,8,1,6,7] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,8,10,11,12],[3,5,7,9,13,14,15,16]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1,6,7,8] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,6,8,11,13,15],[3,5,7,9,10,12,14,16]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,3,4,1,6,7,8,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,4,6,9,10,12,14],[3,5,7,8,11,13,15,16]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,3,4,1,6,7,5,8] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[1,2,4,6,9,10,12,15],[3,5,7,8,11,13,14,16]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,8,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,6,9,10,13,14],[3,5,7,8,11,12,15,16]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,3,4,1,6,8,5,7] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[1,2,4,6,9,10,12,13],[3,5,7,8,11,14,15,16]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,3,4,1,6,5,7,8] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,4,6,9,10,13,15],[3,5,7,8,11,12,14,16]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,3,4,6,1,7,8,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,6,8,9,12,14],[3,5,7,10,11,13,15,16]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,3,4,6,1,7,5,8] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[1,2,4,6,8,9,12,15],[3,5,7,10,11,13,14,16]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,4,6,7,8,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,6,8,9,11,13],[3,5,7,10,12,14,15,16]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,4,6,7,1,5,8] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[1,2,4,6,8,9,11,15],[3,5,7,10,12,13,14,16]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,4,6,1,8,5,7] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,4,6,8,9,12,13],[3,5,7,10,11,14,15,16]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,4,6,8,1,5,7] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,6,8,9,11,12],[3,5,7,10,13,14,15,16]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,4,6,1,5,7,8] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,6,8,9,13,15],[3,5,7,10,11,12,14,16]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,3,4,1,5,7,8,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[1,2,4,6,9,11,12,14],[3,5,7,8,10,13,15,16]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,3,4,1,5,7,6,8] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[1,2,4,6,9,11,12,15],[3,5,7,8,10,13,14,16]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,3,4,1,7,5,8,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,4,6,9,10,11,14],[3,5,7,8,12,13,15,16]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,4,1,7,8,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[1,2,4,6,9,10,11,13],[3,5,7,8,12,14,15,16]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,4,1,7,5,6,8] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,4,6,9,10,11,15],[3,5,7,8,12,13,14,16]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,3,4,7,1,5,8,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,4,6,8,9,10,14],[3,5,7,11,12,13,15,16]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,4,7,1,8,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[1,2,4,6,8,9,10,13],[3,5,7,11,12,14,15,16]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,4,7,8,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,8,9,10,12],[3,5,7,11,13,14,15,16]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6,8] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[1,2,4,6,8,9,10,15],[3,5,7,11,12,13,14,16]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,4,1,5,6,8,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,4,6,9,11,13,14],[3,5,7,8,10,12,15,16]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,4,1,5,8,6,7] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,4,6,9,11,12,13],[3,5,7,8,10,14,15,16]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,4,1,8,5,6,7] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,4,6,9,10,11,12],[3,5,7,8,13,14,15,16]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,4,8,1,5,6,7] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,4,6,8,9,10,11],[3,5,7,12,13,14,15,16]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6,7,8] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,5,6,7,8,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,4,7,8,10,12,14],[3,5,6,9,11,13,15,16]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,3,1,5,6,7,4,8] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[1,2,4,7,8,10,12,15],[3,5,6,9,11,13,14,16]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,3,1,5,6,8,4,7] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[1,2,4,7,8,10,12,13],[3,5,6,9,11,14,15,16]]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,3,1,5,6,4,7,8] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[1,2,4,7,8,10,13,15],[3,5,6,9,11,12,14,16]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6,8] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,4,7,8,11,12,15],[3,5,6,9,10,13,14,16]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,3,1,5,7,8,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,2,4,7,8,10,11,13],[3,5,6,9,12,14,15,16]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,3,1,5,4,6,7,8] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[1,2,4,7,8,11,13,15],[3,5,6,9,10,12,14,16]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,5,1,6,7,8,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,4,6,7,10,12,14],[3,5,8,9,11,13,15,16]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,5,1,6,4,8,7] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,4,6,7,10,13,14],[3,5,8,9,11,12,15,16]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,5,1,6,8,4,7] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[1,2,4,6,7,10,12,13],[3,5,8,9,11,14,15,16]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,5,1,6,4,7,8] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[1,2,4,6,7,10,13,15],[3,5,8,9,11,12,14,16]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,5,6,1,7,8,4] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,4,6,7,9,12,14],[3,5,8,10,11,13,15,16]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,5,6,1,7,4,8] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[1,2,4,6,7,9,12,15],[3,5,8,10,11,13,14,16]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,5,6,7,1,8,4] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,4,6,7,9,11,14],[3,5,8,10,12,13,15,16]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,5,6,7,8,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,6,7,9,11,13],[3,5,8,10,12,14,15,16]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,6,7,1,4,8] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[1,2,4,6,7,9,11,15],[3,5,8,10,12,13,14,16]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,6,1,4,8,7] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[1,2,4,6,7,9,13,14],[3,5,8,10,11,12,15,16]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,6,1,8,4,7] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[1,2,4,6,7,9,12,13],[3,5,8,10,11,14,15,16]]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,6,8,1,4,7] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,4,6,7,9,11,12],[3,5,8,10,13,14,15,16]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,6,1,4,7,8] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,4,6,7,9,13,15],[3,5,8,10,11,12,14,16]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,3,5,1,4,7,6,8] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,4,6,7,11,12,15],[3,5,8,9,10,13,14,16]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,3,5,1,7,4,8,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,4,6,7,10,11,14],[3,5,8,9,12,13,15,16]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,3,5,7,1,4,8,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,4,6,7,9,10,14],[3,5,8,11,12,13,15,16]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,3,5,7,1,8,4,6] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[1,2,4,6,7,9,10,13],[3,5,8,11,12,14,15,16]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,1,4,6,8] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[1,2,4,6,7,9,10,15],[3,5,8,11,12,13,14,16]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,5,1,4,8,6,7] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,4,6,7,11,12,13],[3,5,8,9,10,14,15,16]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,5,1,8,4,6,7] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[1,2,4,6,7,10,11,12],[3,5,8,9,13,14,15,16]]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,8,1,4,6,7] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,4,6,7,9,10,11],[3,5,8,12,13,14,15,16]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,1,4,6,7,8] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,4,6,7,11,13,15],[3,5,8,9,10,12,14,16]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,4,6,7,8,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[1,2,4,7,9,10,12,14],[3,5,6,8,11,13,15,16]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,4,6,7,5,8] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[1,2,4,7,9,10,12,15],[3,5,6,8,11,13,14,16]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,1,4,6,5,8,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,4,7,9,10,13,14],[3,5,6,8,11,12,15,16]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,1,6,4,7,5,8] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[1,2,4,7,8,9,12,15],[3,5,6,10,11,13,14,16]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,7,8,4,5] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[1,2,4,7,8,9,11,13],[3,5,6,10,12,14,15,16]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,4,8,5,7] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[1,2,4,7,8,9,12,13],[3,5,6,10,11,14,15,16]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,1,6,8,4,5,7] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[1,2,4,7,8,9,11,12],[3,5,6,10,13,14,15,16]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,1,6,4,5,7,8] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,4,7,8,9,13,15],[3,5,6,10,11,12,14,16]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,3,6,1,4,7,8,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,4,6,7,8,12,14],[3,5,9,10,11,13,15,16]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,1,4,7,5,8] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[1,2,4,6,7,8,12,15],[3,5,9,10,11,13,14,16]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,6,1,7,8,4,5] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[1,2,4,6,7,8,11,13],[3,5,9,10,12,14,15,16]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,3,6,7,1,4,8,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,4,6,7,8,10,14],[3,5,9,11,12,13,15,16]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,6,7,1,8,4,5] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,4,6,7,8,10,13],[3,5,9,11,12,14,15,16]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,6,7,8,1,4,5] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,7,8,10,12],[3,5,9,11,13,14,15,16]]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,6,7,1,4,5,8] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[1,2,4,6,7,8,10,15],[3,5,9,11,12,13,14,16]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,3,6,1,4,5,8,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,4,6,7,8,13,14],[3,5,9,10,11,12,15,16]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,6,1,4,8,5,7] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[1,2,4,6,7,8,12,13],[3,5,9,10,11,14,15,16]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,6,1,8,4,5,7] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[1,2,4,6,7,8,11,12],[3,5,9,10,13,14,15,16]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,6,8,1,4,5,7] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[1,2,4,6,7,8,10,11],[3,5,9,12,13,14,15,16]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,6,1,4,5,7,8] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,4,6,7,8,13,15],[3,5,9,10,11,12,14,16]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,3,1,4,5,7,8,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,4,7,9,11,12,14],[3,5,6,8,10,13,15,16]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,3,1,4,5,7,6,8] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,4,7,9,11,12,15],[3,5,6,8,10,13,14,16]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,4,7,8,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[1,2,4,7,9,10,11,13],[3,5,6,8,12,14,15,16]]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,3,1,4,7,5,6,8] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[1,2,4,7,9,10,11,15],[3,5,6,8,12,13,14,16]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,3,1,7,4,5,8,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[1,2,4,7,8,9,10,14],[3,5,6,11,12,13,15,16]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,7,4,8,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[1,2,4,7,8,9,10,13],[3,5,6,11,12,14,15,16]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,3,1,7,8,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,4,7,8,9,10,12],[3,5,6,11,13,14,15,16]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,3,7,1,4,5,8,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,4,6,7,8,9,14],[3,5,10,11,12,13,15,16]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,3,7,1,4,8,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[1,2,4,6,7,8,9,13],[3,5,10,11,12,14,15,16]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,3,7,8,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,4,6,7,8,9,11],[3,5,10,12,13,14,15,16]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,7,1,4,5,6,8] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,4,6,7,8,9,15],[3,5,10,11,12,13,14,16]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,3,1,4,5,6,8,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,8,6,7] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,4,7,9,11,12,13],[3,5,6,8,10,14,15,16]]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,3,1,4,8,5,6,7] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,4,7,9,10,11,12],[3,5,6,8,13,14,15,16]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,3,1,8,4,5,6,7] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,4,7,8,9,10,11],[3,5,6,12,13,14,15,16]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,3,8,1,4,5,6,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,6,7,8,9,10],[3,5,11,12,13,14,15,16]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,5,6,7,8,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,5,6,8,10,12,14],[3,4,7,9,11,13,15,16]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,4,5,6,7,3,8] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,5,6,8,10,12,15],[3,4,7,9,11,13,14,16]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,5,6,3,8,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,5,6,8,10,13,14],[3,4,7,9,11,12,15,16]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,4,5,6,8,3,7] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,5,6,8,10,12,13],[3,4,7,9,11,14,15,16]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,5,7,3,8,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,5,6,8,10,11,14],[3,4,7,9,12,13,15,16]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,4,5,7,8,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,5,6,8,10,11,13],[3,4,7,9,12,14,15,16]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,5,3,6,8,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[1,2,5,6,8,11,13,14],[3,4,7,9,10,12,15,16]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,4,5,8,3,6,7] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,5,6,8,10,11,12],[3,4,7,9,13,14,15,16]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4,5,3,6,7,8] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,5,6,8,11,13,15],[3,4,7,9,10,12,14,16]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,6,7,8,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,5,6,9,10,12,14],[3,4,7,8,11,13,15,16]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,3,6,7,5,8] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[1,2,5,6,9,10,12,15],[3,4,7,8,11,13,14,16]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,8,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10,13,14],[3,4,7,8,11,12,15,16]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,8,5,7] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[1,2,5,6,9,10,12,13],[3,4,7,8,11,14,15,16]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,6,5,7,8] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,10,13,15],[3,4,7,8,11,12,14,16]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,6,3,7,8,5] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,5,6,8,9,12,14],[3,4,7,10,11,13,15,16]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,4,6,3,7,5,8] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[1,2,5,6,8,9,12,15],[3,4,7,10,11,13,14,16]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,6,7,3,8,5] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,5,6,8,9,11,14],[3,4,7,10,12,13,15,16]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,6,7,8,3,5] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,5,6,8,9,11,13],[3,4,7,10,12,14,15,16]]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,4,6,7,3,5,8] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[1,2,5,6,8,9,11,15],[3,4,7,10,12,13,14,16]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,3,5,8,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,8,9,13,14],[3,4,7,10,11,12,15,16]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,6,3,8,5,7] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,5,6,8,9,12,13],[3,4,7,10,11,14,15,16]]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,4,6,8,3,5,7] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,5,6,8,9,11,12],[3,4,7,10,13,14,15,16]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,4,6,3,5,7,8] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,5,6,8,9,13,15],[3,4,7,10,11,12,14,16]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,7,8,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[1,2,5,6,9,11,12,14],[3,4,7,8,10,13,15,16]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,3,7,5,8,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,5,6,9,10,11,14],[3,4,7,8,12,13,15,16]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,4,3,7,8,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[1,2,5,6,9,10,11,13],[3,4,7,8,12,14,15,16]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,7,3,5,8,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,5,6,8,9,10,14],[3,4,7,11,12,13,15,16]]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,4,7,8,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,5,6,8,9,10,12],[3,4,7,11,13,14,15,16]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,3,5,6,8,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,5,6,9,11,13,14],[3,4,7,8,10,12,15,16]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,3,5,8,6,7] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,5,6,9,11,12,13],[3,4,7,8,10,14,15,16]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,3,8,5,6,7] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,9,10,11,12],[3,4,7,8,13,14,15,16]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,8,3,5,6,7] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,8,9,10,11],[3,4,7,12,13,14,15,16]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,4,3,5,6,7,8] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,5,6,9,11,13,15],[3,4,7,8,10,12,14,16]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,4,1,5,6,7,8,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,5,8,10,12,14],[3,6,7,9,11,13,15,16]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,4,1,5,6,7,3,8] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,5,8,10,12,15],[3,6,7,9,11,13,14,16]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,4,1,5,6,3,8,7] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,5,8,10,13,14],[3,6,7,9,11,12,15,16]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,4,1,5,6,8,3,7] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,5,8,10,12,13],[3,6,7,9,11,14,15,16]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,4,1,5,6,3,7,8] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,5,8,10,13,15],[3,6,7,9,11,12,14,16]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,4,1,5,3,7,8,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[1,2,4,5,8,11,12,14],[3,6,7,9,10,13,15,16]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,5,3,7,6,8] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,5,8,11,12,15],[3,6,7,9,10,13,14,16]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,4,1,5,7,3,8,6] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,5,8,10,11,14],[3,6,7,9,12,13,15,16]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,4,1,5,3,6,8,7] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[1,2,4,5,8,11,13,14],[3,6,7,9,10,12,15,16]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,4,1,5,3,8,6,7] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,5,8,11,12,13],[3,6,7,9,10,14,15,16]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,4,1,5,8,3,6,7] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,5,8,10,11,12],[3,6,7,9,13,14,15,16]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,4,1,5,3,6,7,8] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,5,8,11,13,15],[3,6,7,9,10,12,14,16]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,4,5,1,6,7,3,8] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[1,2,4,5,7,10,12,15],[3,6,8,9,11,13,14,16]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,4,5,1,6,3,8,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[1,2,4,5,7,10,13,14],[3,6,8,9,11,12,15,16]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,4,5,1,6,8,3,7] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[1,2,4,5,7,10,12,13],[3,6,8,9,11,14,15,16]]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,4,5,1,6,3,7,8] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[1,2,4,5,7,10,13,15],[3,6,8,9,11,12,14,16]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,4,5,6,1,7,8,3] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,2,4,5,7,9,12,14],[3,6,8,10,11,13,15,16]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,4,5,6,1,7,3,8] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[1,2,4,5,7,9,12,15],[3,6,8,10,11,13,14,16]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,4,5,6,7,1,8,3] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,4,5,7,9,11,14],[3,6,8,10,12,13,15,16]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,4,5,6,7,8,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9,11,13],[3,6,8,10,12,14,15,16]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,6,7,1,3,8] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,4,5,7,9,11,15],[3,6,8,10,12,13,14,16]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,4,5,6,1,3,8,7] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[1,2,4,5,7,9,13,14],[3,6,8,10,11,12,15,16]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,4,5,6,1,8,3,7] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[1,2,4,5,7,9,12,13],[3,6,8,10,11,14,15,16]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,6,8,1,3,7] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[1,2,4,5,7,9,11,12],[3,6,8,10,13,14,15,16]]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,6,1,3,7,8] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,4,5,7,9,13,15],[3,6,8,10,11,12,14,16]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,4,5,1,3,7,8,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,7,11,12,14],[3,6,8,9,10,13,15,16]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,4,5,1,3,7,6,8] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[1,2,4,5,7,11,12,15],[3,6,8,9,10,13,14,16]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,4,5,1,7,3,8,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[1,2,4,5,7,10,11,14],[3,6,8,9,12,13,15,16]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,4,5,1,7,8,3,6] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[1,2,4,5,7,10,11,13],[3,6,8,9,12,14,15,16]]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,4,5,1,7,3,6,8] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[1,2,4,5,7,10,11,15],[3,6,8,9,12,13,14,16]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,7,1,3,8,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[1,2,4,5,7,9,10,14],[3,6,8,11,12,13,15,16]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,7,1,8,3,6] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[1,2,4,5,7,9,10,13],[3,6,8,11,12,14,15,16]]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,7,8,1,3,6] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[1,2,4,5,7,9,10,12],[3,6,8,11,13,14,15,16]]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,4,5,1,8,3,6,7] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[1,2,4,5,7,10,11,12],[3,6,8,9,13,14,15,16]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,4,5,1,3,6,7,8] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,4,5,7,11,13,15],[3,6,8,9,10,12,14,16]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,6,7,8,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[1,2,4,5,9,10,12,14],[3,6,7,8,11,13,15,16]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,1,3,6,5,8,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,5,9,10,13,14],[3,6,7,8,11,12,15,16]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,1,3,6,8,5,7] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[1,2,4,5,9,10,12,13],[3,6,7,8,11,14,15,16]]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,1,3,6,5,7,8] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[1,2,4,5,9,10,13,15],[3,6,7,8,11,12,14,16]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,1,6,3,7,8,5] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,5,8,9,12,14],[3,6,7,10,11,13,15,16]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,1,6,3,7,5,8] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[1,2,4,5,8,9,12,15],[3,6,7,10,11,13,14,16]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,4,1,6,7,3,8,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,5,8,9,11,14],[3,6,7,10,12,13,15,16]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,4,1,6,7,8,3,5] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,5,8,9,11,13],[3,6,7,10,12,14,15,16]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,4,1,6,7,3,5,8] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[1,2,4,5,8,9,11,15],[3,6,7,10,12,13,14,16]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,1,6,3,5,8,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[1,2,4,5,8,9,13,14],[3,6,7,10,11,12,15,16]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,6,3,8,5,7] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,2,4,5,8,9,12,13],[3,6,7,10,11,14,15,16]]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,4,1,6,8,3,5,7] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,5,8,9,11,12],[3,6,7,10,13,14,15,16]]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,1,6,3,5,7,8] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,5,8,9,13,15],[3,6,7,10,11,12,14,16]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,4,6,1,3,7,8,5] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[1,2,4,5,7,8,12,14],[3,6,9,10,11,13,15,16]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,4,6,1,3,7,5,8] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[1,2,4,5,7,8,12,15],[3,6,9,10,11,13,14,16]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,4,6,1,7,3,8,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[1,2,4,5,7,8,11,14],[3,6,9,10,12,13,15,16]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,4,6,1,7,8,3,5] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[1,2,4,5,7,8,11,13],[3,6,9,10,12,14,15,16]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,4,6,7,1,3,8,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[1,2,4,5,7,8,10,14],[3,6,9,11,12,13,15,16]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,4,6,7,1,8,3,5] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[1,2,4,5,7,8,10,13],[3,6,9,11,12,14,15,16]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,4,6,7,8,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,7,8,10,12],[3,6,9,11,13,14,15,16]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,4,6,7,1,3,5,8] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,4,5,7,8,10,15],[3,6,9,11,12,13,14,16]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,4,6,1,3,5,8,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[1,2,4,5,7,8,13,14],[3,6,9,10,11,12,15,16]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,4,6,1,3,8,5,7] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[1,2,4,5,7,8,12,13],[3,6,9,10,11,14,15,16]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,4,6,1,8,3,5,7] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[1,2,4,5,7,8,11,12],[3,6,9,10,13,14,15,16]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,4,6,8,1,3,5,7] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[1,2,4,5,7,8,10,11],[3,6,9,12,13,14,15,16]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,4,6,1,3,5,7,8] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[1,2,4,5,7,8,13,15],[3,6,9,10,11,12,14,16]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,3,5,7,8,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[1,2,4,5,9,11,12,14],[3,6,7,8,10,13,15,16]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,4,1,3,7,5,8,6] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[1,2,4,5,9,10,11,14],[3,6,7,8,12,13,15,16]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,3,7,8,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[1,2,4,5,9,10,11,13],[3,6,7,8,12,14,15,16]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,4,1,7,3,5,8,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[1,2,4,5,8,9,10,14],[3,6,7,11,12,13,15,16]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,7,3,8,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[1,2,4,5,8,9,10,13],[3,6,7,11,12,14,15,16]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,4,1,7,8,3,5,6] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,5,8,9,10,12],[3,6,7,11,13,14,15,16]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,4,7,1,3,5,8,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[1,2,4,5,7,8,9,14],[3,6,10,11,12,13,15,16]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,4,7,1,3,8,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[1,2,4,5,7,8,9,13],[3,6,10,11,12,14,15,16]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,4,7,1,8,3,5,6] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[1,2,4,5,7,8,9,12],[3,6,10,11,13,14,15,16]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,4,7,8,1,3,5,6] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[1,2,4,5,7,8,9,11],[3,6,10,12,13,14,15,16]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,4,1,3,8,5,6,7] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,4,5,9,10,11,12],[3,6,7,8,13,14,15,16]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,4,1,8,3,5,6,7] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[1,2,4,5,8,9,10,11],[3,6,7,12,13,14,15,16]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,4,8,1,3,5,6,7] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,5,7,8,9,10],[3,6,11,12,13,14,15,16]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,4,1,3,5,6,7,8] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,5,9,11,13,15],[3,6,7,8,10,12,14,16]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,3,5,6,7,8,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,5,7,8,10,12,14],[3,4,6,9,11,13,15,16]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,6,4,8,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[1,2,5,7,8,10,13,14],[3,4,6,9,11,12,15,16]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,8,4,7] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[1,2,5,7,8,10,12,13],[3,4,6,9,11,14,15,16]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,1,3,5,4,7,8,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[1,2,5,7,8,11,12,14],[3,4,6,9,10,13,15,16]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4,6,8,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,2,5,7,8,11,13,14],[3,4,6,9,10,12,15,16]]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,1,3,5,8,4,6,7] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[1,2,5,7,8,10,11,12],[3,4,6,9,13,14,15,16]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,1,3,5,4,6,7,8] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,2,5,7,8,11,13,15],[3,4,6,9,10,12,14,16]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,1,5,3,6,7,8,4] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,5,6,7,10,12,14],[3,4,8,9,11,13,15,16]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [2,1,5,3,6,7,4,8] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[1,2,5,6,7,10,12,15],[3,4,8,9,11,13,14,16]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,1,5,3,6,4,8,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,5,6,7,10,13,14],[3,4,8,9,11,12,15,16]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,1,5,3,6,8,4,7] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[1,2,5,6,7,10,12,13],[3,4,8,9,11,14,15,16]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,1,5,6,3,7,8,4] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,5,6,7,9,12,14],[3,4,8,10,11,13,15,16]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,1,5,6,3,7,4,8] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[1,2,5,6,7,9,12,15],[3,4,8,10,11,13,14,16]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,1,5,6,7,3,8,4] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,5,6,7,9,11,14],[3,4,8,10,12,13,15,16]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,1,5,6,7,8,3,4] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,5,6,7,9,11,13],[3,4,8,10,12,14,15,16]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,1,5,6,7,3,4,8] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[1,2,5,6,7,9,11,15],[3,4,8,10,12,13,14,16]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,1,5,6,3,4,8,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,9,13,14],[3,4,8,10,11,12,15,16]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,1,5,6,8,3,4,7] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,5,6,7,9,11,12],[3,4,8,10,13,14,15,16]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,1,5,6,3,4,7,8] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,5,6,7,9,13,15],[3,4,8,10,11,12,14,16]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,1,5,3,7,4,8,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,5,6,7,10,11,14],[3,4,8,9,12,13,15,16]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,1,5,3,7,8,4,6] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[1,2,5,6,7,10,11,13],[3,4,8,9,12,14,15,16]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,1,5,7,3,4,8,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,5,6,7,9,10,14],[3,4,8,11,12,13,15,16]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,1,5,7,3,8,4,6] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[1,2,5,6,7,9,10,13],[3,4,8,11,12,14,15,16]]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,1,5,7,8,3,4,6] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,5,6,7,9,10,12],[3,4,8,11,13,14,15,16]]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,1,5,7,3,4,6,8] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,9,10,15],[3,4,8,11,12,13,14,16]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,1,5,3,4,6,8,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,2,5,6,7,11,13,14],[3,4,8,9,10,12,15,16]]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,1,5,3,8,4,6,7] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[1,2,5,6,7,10,11,12],[3,4,8,9,13,14,15,16]]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,1,5,8,3,4,6,7] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,9,10,11],[3,4,8,12,13,14,15,16]]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,1,5,3,4,6,7,8] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,5,1,3,6,7,8,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[1,2,4,5,6,10,12,14],[3,7,8,9,11,13,15,16]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,5,1,3,6,4,8,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[1,2,4,5,6,10,13,14],[3,7,8,9,11,12,15,16]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,5,1,3,6,8,4,7] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[1,2,4,5,6,10,12,13],[3,7,8,9,11,14,15,16]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,5,1,3,6,4,7,8] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[1,2,4,5,6,10,13,15],[3,7,8,9,11,12,14,16]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [2,5,1,6,3,7,8,4] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[1,2,4,5,6,9,12,14],[3,7,8,10,11,13,15,16]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,5,1,6,3,7,4,8] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[1,2,4,5,6,9,12,15],[3,7,8,10,11,13,14,16]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,5,1,6,7,3,8,4] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[1,2,4,5,6,9,11,14],[3,7,8,10,12,13,15,16]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,5,1,6,7,8,3,4] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,6,9,11,13],[3,7,8,10,12,14,15,16]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,5,1,6,7,3,4,8] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[1,2,4,5,6,9,11,15],[3,7,8,10,12,13,14,16]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,5,1,6,3,4,8,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[1,2,4,5,6,9,13,14],[3,7,8,10,11,12,15,16]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,5,1,6,3,8,4,7] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[1,2,4,5,6,9,12,13],[3,7,8,10,11,14,15,16]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,5,1,6,8,3,4,7] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[1,2,4,5,6,9,11,12],[3,7,8,10,13,14,15,16]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,5,1,6,3,4,7,8] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[1,2,4,5,6,9,13,15],[3,7,8,10,11,12,14,16]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,5,6,1,3,7,8,4] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[1,2,4,5,6,8,12,14],[3,7,9,10,11,13,15,16]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,5,6,1,3,7,4,8] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[1,2,4,5,6,8,12,15],[3,7,9,10,11,13,14,16]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,5,6,1,7,8,3,4] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[1,2,4,5,6,8,11,13],[3,7,9,10,12,14,15,16]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,5,6,1,7,3,4,8] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,8,11,15],[3,7,9,10,12,13,14,16]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,5,6,7,1,3,8,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[1,2,4,5,6,8,10,14],[3,7,9,11,12,13,15,16]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,5,6,7,1,8,3,4] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,4,5,6,8,10,13],[3,7,9,11,12,14,15,16]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,5,6,7,8,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,6,8,10,12],[3,7,9,11,13,14,15,16]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [2,5,6,1,3,4,8,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[1,2,4,5,6,8,13,14],[3,7,9,10,11,12,15,16]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [2,5,6,1,3,8,4,7] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[1,2,4,5,6,8,12,13],[3,7,9,10,11,14,15,16]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,5,6,8,1,3,4,7] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,4,5,6,8,10,11],[3,7,9,12,13,14,15,16]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,5,1,3,7,4,8,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[1,2,4,5,6,10,11,14],[3,7,8,9,12,13,15,16]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,5,1,3,7,8,4,6] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[1,2,4,5,6,10,11,13],[3,7,8,9,12,14,15,16]]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,5,1,3,7,4,6,8] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[1,2,4,5,6,10,11,15],[3,7,8,9,12,13,14,16]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,5,1,7,3,4,8,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[1,2,4,5,6,9,10,14],[3,7,8,11,12,13,15,16]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,5,1,7,3,8,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[1,2,4,5,6,9,10,13],[3,7,8,11,12,14,15,16]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,5,1,7,8,3,4,6] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[1,2,4,5,6,9,10,12],[3,7,8,11,13,14,15,16]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,5,7,1,3,4,8,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[1,2,4,5,6,8,9,14],[3,7,10,11,12,13,15,16]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,5,7,1,3,8,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[1,2,4,5,6,8,9,13],[3,7,10,11,12,14,15,16]]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [2,5,7,1,8,3,4,6] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[1,2,4,5,6,8,9,12],[3,7,10,11,13,14,15,16]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,5,7,8,1,3,4,6] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[1,2,4,5,6,8,9,11],[3,7,10,12,13,14,15,16]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,5,1,3,8,4,6,7] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[1,2,4,5,6,10,11,12],[3,7,8,9,13,14,15,16]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,5,1,8,3,4,6,7] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[1,2,4,5,6,9,10,11],[3,7,8,12,13,14,15,16]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,5,8,1,3,4,6,7] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[1,2,4,5,6,8,9,10],[3,7,11,12,13,14,15,16]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,5,1,3,4,6,7,8] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[1,2,4,5,6,11,13,15],[3,7,8,9,10,12,14,16]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,1,3,4,6,7,8,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,2,5,7,9,10,12,14],[3,4,6,8,11,13,15,16]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,1,3,4,6,7,5,8] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,2,5,7,9,10,12,15],[3,4,6,8,11,13,14,16]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,1,3,4,6,5,8,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,5,7,9,10,13,14],[3,4,6,8,11,12,15,16]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,1,3,4,6,5,7,8] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,2,5,7,9,10,13,15],[3,4,6,8,11,12,14,16]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,1,3,6,7,4,8,5] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,5,7,8,9,11,14],[3,4,6,10,12,13,15,16]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,1,3,6,7,8,4,5] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[1,2,5,7,8,9,11,13],[3,4,6,10,12,14,15,16]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,1,3,6,4,5,8,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,7,8,9,13,14],[3,4,6,10,11,12,15,16]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,1,3,6,4,8,5,7] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[1,2,5,7,8,9,12,13],[3,4,6,10,11,14,15,16]]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,1,3,6,4,5,7,8] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,5,7,8,9,13,15],[3,4,6,10,11,12,14,16]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,7,8,5] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,5,6,7,8,12,14],[3,4,9,10,11,13,15,16]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [2,1,6,3,7,4,8,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[1,2,5,6,7,8,11,14],[3,4,9,10,12,13,15,16]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,1,6,3,7,8,4,5] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[1,2,5,6,7,8,11,13],[3,4,9,10,12,14,15,16]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,1,6,3,7,4,5,8] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[1,2,5,6,7,8,11,15],[3,4,9,10,12,13,14,16]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,1,6,7,3,4,8,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,5,6,7,8,10,14],[3,4,9,11,12,13,15,16]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,1,6,7,3,8,4,5] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,5,6,7,8,10,13],[3,4,9,11,12,14,15,16]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,1,6,7,8,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,5,6,7,8,10,12],[3,4,9,11,13,14,15,16]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,5,6,7,8,13,14],[3,4,9,10,11,12,15,16]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,1,6,3,4,8,5,7] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[1,2,5,6,7,8,12,13],[3,4,9,10,11,14,15,16]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,1,6,3,8,4,5,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[1,2,5,6,7,8,11,12],[3,4,9,10,13,14,15,16]]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,1,6,8,3,4,5,7] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,10,11],[3,4,9,12,13,14,15,16]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,6,1,3,4,7,8,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[1,2,4,5,6,7,12,14],[3,8,9,10,11,13,15,16]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,6,1,3,4,7,5,8] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[1,2,4,5,6,7,12,15],[3,8,9,10,11,13,14,16]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,6,1,3,7,4,8,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[1,2,4,5,6,7,11,14],[3,8,9,10,12,13,15,16]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,6,1,3,7,8,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[1,2,4,5,6,7,11,13],[3,8,9,10,12,14,15,16]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,6,1,7,3,4,8,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[1,2,4,5,6,7,10,14],[3,8,9,11,12,13,15,16]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,6,1,7,3,8,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[1,2,4,5,6,7,10,13],[3,8,9,11,12,14,15,16]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,6,1,7,8,3,4,5] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[1,2,4,5,6,7,10,12],[3,8,9,11,13,14,15,16]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,6,1,7,3,4,5,8] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[1,2,4,5,6,7,10,15],[3,8,9,11,12,13,14,16]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,6,7,1,3,4,8,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[1,2,4,5,6,7,9,14],[3,8,10,11,12,13,15,16]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,6,7,1,3,8,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[1,2,4,5,6,7,9,13],[3,8,10,11,12,14,15,16]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,6,7,1,8,3,4,5] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[1,2,4,5,6,7,9,12],[3,8,10,11,13,14,15,16]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,6,7,8,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,2,4,5,6,7,9,11],[3,8,10,12,13,14,15,16]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,6,7,1,3,4,5,8] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[1,2,4,5,6,7,9,15],[3,8,10,11,12,13,14,16]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,8,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,4,5,6,7,13,14],[3,8,9,10,11,12,15,16]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,6,1,3,4,8,5,7] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[1,2,4,5,6,7,12,13],[3,8,9,10,11,14,15,16]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,6,1,3,8,4,5,7] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[1,2,4,5,6,7,11,12],[3,8,9,10,13,14,15,16]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,6,1,8,3,4,5,7] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[1,2,4,5,6,7,10,11],[3,8,9,12,13,14,15,16]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,6,8,1,3,4,5,7] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[1,2,4,5,6,7,9,10],[3,8,11,12,13,14,15,16]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,6,1,3,4,5,7,8] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,2,4,5,6,7,13,15],[3,8,9,10,11,12,14,16]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,1,3,4,5,7,8,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,9,11,12,14],[3,4,6,8,10,13,15,16]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,1,3,4,5,7,6,8] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,1,3,4,7,5,8,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,2,5,7,9,10,11,14],[3,4,6,8,12,13,15,16]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,1,3,4,7,8,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[1,2,5,7,9,10,11,13],[3,4,6,8,12,14,15,16]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,1,3,4,7,5,6,8] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,2,5,7,9,10,11,15],[3,4,6,8,12,13,14,16]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,1,3,7,4,8,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[1,2,5,7,8,9,10,13],[3,4,6,11,12,14,15,16]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,1,3,7,8,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,5,7,8,9,10,12],[3,4,6,11,13,14,15,16]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,1,7,3,4,5,8,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,5,6,7,8,9,14],[3,4,10,11,12,13,15,16]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,1,7,3,4,8,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[1,2,5,6,7,8,9,13],[3,4,10,11,12,14,15,16]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,1,7,3,8,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,5,6,7,8,9,12],[3,4,10,11,13,14,15,16]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,1,7,8,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,5,6,7,8,9,11],[3,4,10,12,13,14,15,16]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6,8] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,7,1,3,4,5,8,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[1,2,4,5,6,7,8,14],[3,9,10,11,12,13,15,16]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,7,1,3,8,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[1,2,4,5,6,7,8,12],[3,9,10,11,13,14,15,16]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,7,1,8,3,4,5,6] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[1,2,4,5,6,7,8,11],[3,9,10,12,13,14,15,16]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,7,8,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,10],[3,9,11,12,13,14,15,16]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,7,1,3,4,5,6,8] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,4,5,6,7,8,15],[3,9,10,11,12,13,14,16]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,8,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,1,3,4,5,8,6,7] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,11,12,13],[3,4,6,8,10,14,15,16]]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,1,3,4,8,5,6,7] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,5,7,9,10,11,12],[3,4,6,8,13,14,15,16]]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,1,3,8,4,5,6,7] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,7,8,9,10,11],[3,4,6,12,13,14,15,16]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,1,8,3,4,5,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,8,1,3,4,5,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9],[3,10,11,12,13,14,15,16]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,8,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14],[2,5,7,9,11,13,15,16]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,3,4,5,6,7,2,8] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,3,4,6,8,10,12,15],[2,5,7,9,11,13,14,16]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,3,4,5,6,2,8,7] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,3,4,6,8,10,13,14],[2,5,7,9,11,12,15,16]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,3,4,5,6,8,2,7] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,10,12,13],[2,5,7,9,11,14,15,16]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,6,2,7,8] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,3,4,6,8,10,13,15],[2,5,7,9,11,12,14,16]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,3,4,5,2,7,8,6] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[1,3,4,6,8,11,12,14],[2,5,7,9,10,13,15,16]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6,8] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[1,3,4,6,8,11,12,15],[2,5,7,9,10,13,14,16]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,3,4,5,7,2,8,6] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,3,4,6,8,10,11,14],[2,5,7,9,12,13,15,16]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,7,8,2,6] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,3,4,6,8,10,11,13],[2,5,7,9,12,14,15,16]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,3,4,5,7,2,6,8] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[1,3,4,6,8,10,11,15],[2,5,7,9,12,13,14,16]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,3,4,5,2,6,8,7] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[1,3,4,6,8,11,13,14],[2,5,7,9,10,12,15,16]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,3,4,5,2,8,6,7] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[1,3,4,6,8,11,12,13],[2,5,7,9,10,14,15,16]]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,3,4,5,8,2,6,7] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,3,4,6,8,10,11,12],[2,5,7,9,13,14,15,16]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,5,2,6,7,8] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,3,4,6,8,11,13,15],[2,5,7,9,10,12,14,16]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,4,2,6,7,8,5] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,9,10,12,14],[2,5,7,8,11,13,15,16]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,6,7,5,8] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[1,3,4,6,9,10,12,15],[2,5,7,8,11,13,14,16]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,8,7] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,6,9,10,13,14],[2,5,7,8,11,12,15,16]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,6,2,7,5,8] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[1,3,4,6,8,9,12,15],[2,5,7,10,11,13,14,16]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,6,7,2,8,5] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[1,3,4,6,8,9,11,14],[2,5,7,10,12,13,15,16]]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,7,2,5,8] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[1,3,4,6,8,9,11,15],[2,5,7,10,12,13,14,16]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,4,6,2,5,8,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[1,3,4,6,8,9,13,14],[2,5,7,10,11,12,15,16]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,4,6,8,2,5,7] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[1,3,4,6,8,9,11,12],[2,5,7,10,13,14,15,16]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,4,6,2,5,7,8] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[1,3,4,6,8,9,13,15],[2,5,7,10,11,12,14,16]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,4,2,5,7,8,6] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[1,3,4,6,9,11,12,14],[2,5,7,8,10,13,15,16]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,4,2,5,7,6,8] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[1,3,4,6,9,11,12,15],[2,5,7,8,10,13,14,16]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,3,4,2,7,5,8,6] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[1,3,4,6,9,10,11,14],[2,5,7,8,12,13,15,16]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,3,4,2,7,8,5,6] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[1,3,4,6,9,10,11,13],[2,5,7,8,12,14,15,16]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,3,4,7,2,5,8,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[1,3,4,6,8,9,10,14],[2,5,7,11,12,13,15,16]]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,4,7,8,2,5,6] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[1,3,4,6,8,9,10,12],[2,5,7,11,13,14,15,16]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,4,7,2,5,6,8] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[1,3,4,6,8,9,10,15],[2,5,7,11,12,13,14,16]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,3,4,2,5,6,8,7] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,4,6,9,11,13,14],[2,5,7,8,10,12,15,16]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,3,4,2,5,8,6,7] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[1,3,4,6,9,11,12,13],[2,5,7,8,10,14,15,16]]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,3,4,2,8,5,6,7] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,6,9,10,11,12],[2,5,7,8,13,14,15,16]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,3,4,8,2,5,6,7] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[1,3,4,6,8,9,10,11],[2,5,7,12,13,14,15,16]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,3,4,2,5,6,7,8] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,6,9,11,13,15],[2,5,7,8,10,12,14,16]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,5,6,7,8,4] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,7,8,10,12,14],[2,5,6,9,11,13,15,16]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,5,6,7,4,8] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,4,7,8,10,12,15],[2,5,6,9,11,13,14,16]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,5,6,4,8,7] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[1,3,4,7,8,10,13,14],[2,5,6,9,11,12,15,16]]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,5,6,4,7,8] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,4,7,8,10,13,15],[2,5,6,9,11,12,14,16]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,7,8,6] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[1,3,4,7,8,11,12,14],[2,5,6,9,10,13,15,16]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11,12,15],[2,5,6,9,10,13,14,16]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,7,4,8,6] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[1,3,4,7,8,10,11,14],[2,5,6,9,12,13,15,16]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,7,8,4,6] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,3,4,7,8,10,11,13],[2,5,6,9,12,14,15,16]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,4,6,8] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[1,3,4,7,8,10,11,15],[2,5,6,9,12,13,14,16]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,5,4,8,6,7] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,11,12,13],[2,5,6,9,10,14,15,16]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,5,8,4,6,7] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[1,3,4,7,8,10,11,12],[2,5,6,9,13,14,15,16]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,5,4,6,7,8] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15],[2,5,6,9,10,12,14,16]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,5,2,6,7,8,4] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[1,3,4,6,7,10,12,14],[2,5,8,9,11,13,15,16]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,5,2,6,7,4,8] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[1,3,4,6,7,10,12,15],[2,5,8,9,11,13,14,16]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,5,2,6,4,8,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[1,3,4,6,7,10,13,14],[2,5,8,9,11,12,15,16]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,5,2,6,8,4,7] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[1,3,4,6,7,10,12,13],[2,5,8,9,11,14,15,16]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,5,2,6,4,7,8] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[1,3,4,6,7,10,13,15],[2,5,8,9,11,12,14,16]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,5,6,2,7,8,4] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[1,3,4,6,7,9,12,14],[2,5,8,10,11,13,15,16]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,5,6,2,7,4,8] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[1,3,4,6,7,9,12,15],[2,5,8,10,11,13,14,16]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,5,6,7,2,8,4] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[1,3,4,6,7,9,11,14],[2,5,8,10,12,13,15,16]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,5,6,7,8,2,4] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,6,7,9,11,13],[2,5,8,10,12,14,15,16]]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,6,7,2,4,8] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[1,3,4,6,7,9,11,15],[2,5,8,10,12,13,14,16]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,5,6,2,4,8,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[1,3,4,6,7,9,13,14],[2,5,8,10,11,12,15,16]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,5,6,2,8,4,7] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[1,3,4,6,7,9,12,13],[2,5,8,10,11,14,15,16]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,6,8,2,4,7] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[1,3,4,6,7,9,11,12],[2,5,8,10,13,14,15,16]]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,6,2,4,7,8] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[1,3,4,6,7,9,13,15],[2,5,8,10,11,12,14,16]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,2,4,7,8,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[1,3,4,6,7,11,12,14],[2,5,8,9,10,13,15,16]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,2,4,7,6,8] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,6,7,11,12,15],[2,5,8,9,10,13,14,16]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,2,7,4,8,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,3,4,6,7,10,11,14],[2,5,8,9,12,13,15,16]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,2,7,8,4,6] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[1,3,4,6,7,10,11,13],[2,5,8,9,12,14,15,16]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,7,4,6,8] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[1,3,4,6,7,10,11,15],[2,5,8,9,12,13,14,16]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,5,7,2,4,8,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[1,3,4,6,7,9,10,14],[2,5,8,11,12,13,15,16]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,5,7,2,8,4,6] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[1,3,4,6,7,9,10,13],[2,5,8,11,12,14,15,16]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,7,8,2,4,6] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,3,4,6,7,9,10,12],[2,5,8,11,13,14,15,16]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,2,4,6,8] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[1,3,4,6,7,9,10,15],[2,5,8,11,12,13,14,16]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,5,2,4,6,8,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[1,3,4,6,7,11,13,14],[2,5,8,9,10,12,15,16]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,5,2,4,8,6,7] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,6,7,11,12,13],[2,5,8,9,10,14,15,16]]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,5,2,8,4,6,7] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[1,3,4,6,7,10,11,12],[2,5,8,9,13,14,15,16]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,5,8,2,4,6,7] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[1,3,4,6,7,9,10,11],[2,5,8,12,13,14,15,16]]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,5,2,4,6,7,8] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,4,6,7,11,13,15],[2,5,8,9,10,12,14,16]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,2,4,6,7,8,5] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,4,7,9,10,12,14],[2,5,6,8,11,13,15,16]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,2,4,6,7,5,8] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,4,7,9,10,12,15],[2,5,6,8,11,13,14,16]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,4,6,5,8,7] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,9,10,13,14],[2,5,6,8,11,12,15,16]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,2,4,6,8,5,7] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,4,7,9,10,12,13],[2,5,6,8,11,14,15,16]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,2,4,6,5,7,8] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,9,10,13,15],[2,5,6,8,11,12,14,16]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,3,2,6,4,7,8,5] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,7,8,9,12,14],[2,5,6,10,11,13,15,16]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,3,2,6,4,7,5,8] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[1,3,4,7,8,9,12,15],[2,5,6,10,11,13,14,16]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,3,2,6,7,4,8,5] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,7,8,9,11,14],[2,5,6,10,12,13,15,16]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,3,2,6,7,8,4,5] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,4,7,8,9,11,13],[2,5,6,10,12,14,15,16]]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,3,2,6,7,4,5,8] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[1,3,4,7,8,9,11,15],[2,5,6,10,12,13,14,16]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,4,8,5,7] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[1,3,4,7,8,9,12,13],[2,5,6,10,11,14,15,16]]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,2,6,8,4,5,7] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,4,7,8,9,11,12],[2,5,6,10,13,14,15,16]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,3,2,6,4,5,7,8] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,4,7,8,9,13,15],[2,5,6,10,11,12,14,16]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,3,6,2,4,7,8,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[1,3,4,6,7,8,12,14],[2,5,9,10,11,13,15,16]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,3,6,2,4,7,5,8] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[1,3,4,6,7,8,12,15],[2,5,9,10,11,13,14,16]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,3,6,2,7,4,8,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[1,3,4,6,7,8,11,14],[2,5,9,10,12,13,15,16]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,3,6,2,7,8,4,5] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[1,3,4,6,7,8,11,13],[2,5,9,10,12,14,15,16]]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,3,6,2,7,4,5,8] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[1,3,4,6,7,8,11,15],[2,5,9,10,12,13,14,16]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,3,6,7,2,4,8,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[1,3,4,6,7,8,10,14],[2,5,9,11,12,13,15,16]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,3,6,7,8,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[1,3,4,6,7,8,10,12],[2,5,9,11,13,14,15,16]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,3,6,2,4,5,8,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,6,7,8,13,14],[2,5,9,10,11,12,15,16]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,3,6,2,4,8,5,7] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[1,3,4,6,7,8,12,13],[2,5,9,10,11,14,15,16]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,3,6,2,4,5,7,8] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[1,3,4,6,7,8,13,15],[2,5,9,10,11,12,14,16]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,3,2,4,5,7,8,6] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,4,7,9,11,12,14],[2,5,6,8,10,13,15,16]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,3,2,4,5,7,6,8] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,4,7,9,11,12,15],[2,5,6,8,10,13,14,16]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,3,2,4,7,5,8,6] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,4,7,9,10,11,14],[2,5,6,8,12,13,15,16]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,3,2,4,7,8,5,6] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,4,7,9,10,11,13],[2,5,6,8,12,14,15,16]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,3,2,7,4,8,5,6] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[1,3,4,7,8,9,10,13],[2,5,6,11,12,14,15,16]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,3,2,7,4,5,6,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,4,7,8,9,10,15],[2,5,6,11,12,13,14,16]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,3,7,2,4,5,8,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[1,3,4,6,7,8,9,14],[2,5,10,11,12,13,15,16]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,3,7,2,4,8,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[1,3,4,6,7,8,9,13],[2,5,10,11,12,14,15,16]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,3,7,2,8,4,5,6] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[1,3,4,6,7,8,9,12],[2,5,10,11,13,14,15,16]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,3,7,8,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[1,3,4,6,7,8,9,11],[2,5,10,12,13,14,15,16]]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,3,7,2,4,5,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,4,6,7,8,9,15],[2,5,10,11,12,13,14,16]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,3,2,4,5,6,8,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,3,2,4,5,8,6,7] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,4,7,9,11,12,13],[2,5,6,8,10,14,15,16]]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,3,2,4,8,5,6,7] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,9,10,11,12],[2,5,6,8,13,14,15,16]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,3,2,8,4,5,6,7] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,7,8,9,10,11],[2,5,6,12,13,14,15,16]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,3,8,2,4,5,6,7] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,6,7,8,9,10],[2,5,11,12,13,14,15,16]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,3,2,4,5,6,7,8] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,8,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12,14],[4,5,7,9,11,13,15,16]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,4,5,6,7,2,8] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,6,8,10,12,15],[4,5,7,9,11,13,14,16]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,5,6,2,8,7] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,3,6,8,10,13,14],[4,5,7,9,11,12,15,16]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,4,5,6,8,2,7] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,3,6,8,10,12,13],[4,5,7,9,11,14,15,16]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,5,2,7,8,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [[1,2,3,6,8,11,12,14],[4,5,7,9,10,13,15,16]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,4,5,2,7,6,8] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [[1,2,3,6,8,11,12,15],[4,5,7,9,10,13,14,16]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,5,7,2,8,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,3,6,8,10,11,14],[4,5,7,9,12,13,15,16]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,4,5,7,8,2,6] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,3,6,8,10,11,13],[4,5,7,9,12,14,15,16]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,4,5,8,2,6,7] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,3,6,8,10,11,12],[4,5,7,9,13,14,15,16]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,2,6,7,8] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,6,8,11,13,15],[4,5,7,9,10,12,14,16]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,6,7,8,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,3,6,9,10,12,14],[4,5,7,8,11,13,15,16]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,1,4,2,6,7,5,8] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[1,2,3,6,9,10,12,15],[4,5,7,8,11,13,14,16]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5,8,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,6,9,10,13,14],[4,5,7,8,11,12,15,16]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,1,4,2,6,8,5,7] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [[1,2,3,6,9,10,12,13],[4,5,7,8,11,14,15,16]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,1,4,2,6,5,7,8] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,3,6,9,10,13,15],[4,5,7,8,11,12,14,16]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,1,4,6,2,7,8,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8,9,12,14],[4,5,7,10,11,13,15,16]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,6,7,2,8,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,3,6,8,9,11,14],[4,5,7,10,12,13,15,16]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,1,4,6,7,8,2,5] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,3,6,8,9,11,13],[4,5,7,10,12,14,15,16]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,4,6,2,5,8,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [[1,2,3,6,8,9,13,14],[4,5,7,10,11,12,15,16]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,1,4,6,2,8,5,7] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,3,6,8,9,12,13],[4,5,7,10,11,14,15,16]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,1,4,6,8,2,5,7] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,3,6,8,9,11,12],[4,5,7,10,13,14,15,16]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,2,5,7,8,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[1,2,3,6,9,11,12,14],[4,5,7,8,10,13,15,16]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,7,5,8,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,3,6,9,10,11,14],[4,5,7,8,12,13,15,16]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,1,4,2,7,8,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [[1,2,3,6,9,10,11,13],[4,5,7,8,12,14,15,16]]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,1,4,2,7,5,6,8] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,6,9,10,11,15],[4,5,7,8,12,13,14,16]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,1,4,7,2,5,8,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,3,6,8,9,10,14],[4,5,7,11,12,13,15,16]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,4,7,2,8,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[1,2,3,6,8,9,10,13],[4,5,7,11,12,14,15,16]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,1,4,2,5,8,6,7] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,3,6,9,11,12,13],[4,5,7,8,10,14,15,16]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,1,4,2,8,5,6,7] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,6,9,10,11,12],[4,5,7,8,13,14,15,16]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,1,4,8,2,5,6,7] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,3,6,8,9,10,11],[4,5,7,12,13,14,15,16]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,1,4,2,5,6,7,8] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,6,9,11,13,15],[4,5,7,8,10,12,14,16]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,4,1,5,6,7,8,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,8,10,12,14],[4,6,7,9,11,13,15,16]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,4,1,5,6,7,2,8] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,5,8,10,12,15],[4,6,7,9,11,13,14,16]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,4,1,5,6,2,8,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[1,2,3,5,8,10,13,14],[4,6,7,9,11,12,15,16]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,4,1,5,6,8,2,7] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[1,2,3,5,8,10,12,13],[4,6,7,9,11,14,15,16]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,4,1,5,6,2,7,8] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [[1,2,3,5,8,10,13,15],[4,6,7,9,11,12,14,16]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,5,2,7,6,8] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[1,2,3,5,8,11,12,15],[4,6,7,9,10,13,14,16]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,4,1,5,7,2,8,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [[1,2,3,5,8,10,11,14],[4,6,7,9,12,13,15,16]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,4,1,5,7,8,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [[1,2,3,5,8,10,11,13],[4,6,7,9,12,14,15,16]]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,4,1,5,7,2,6,8] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[1,2,3,5,8,10,11,15],[4,6,7,9,12,13,14,16]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,5,2,8,6,7] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [[1,2,3,5,8,11,12,13],[4,6,7,9,10,14,15,16]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,4,1,5,8,2,6,7] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [[1,2,3,5,8,10,11,12],[4,6,7,9,13,14,15,16]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,4,1,5,2,6,7,8] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,5,8,11,13,15],[4,6,7,9,10,12,14,16]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,4,5,1,6,7,8,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,5,7,10,12,14],[4,6,8,9,11,13,15,16]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,4,5,1,6,2,8,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,5,7,10,13,14],[4,6,8,9,11,12,15,16]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,4,5,1,6,2,7,8] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[1,2,3,5,7,10,13,15],[4,6,8,9,11,12,14,16]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,4,5,6,1,7,8,2] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,7,9,12,14],[4,6,8,10,11,13,15,16]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,4,5,6,1,7,2,8] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[1,2,3,5,7,9,12,15],[4,6,8,10,11,13,14,16]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,6,7,1,8,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,9,11,14],[4,6,8,10,12,13,15,16]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,7,8,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9,11,13],[4,6,8,10,12,14,15,16]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,6,7,1,2,8] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,9,11,15],[4,6,8,10,12,13,14,16]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,4,5,6,1,2,8,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,7,9,13,14],[4,6,8,10,11,12,15,16]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [3,4,5,6,1,8,2,7] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,5,7,9,12,13],[4,6,8,10,11,14,15,16]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,6,8,1,2,7] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,9,11,12],[4,6,8,10,13,14,15,16]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,6,1,2,7,8] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,7,9,13,15],[4,6,8,10,11,12,14,16]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,4,5,1,2,7,8,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,5,7,11,12,14],[4,6,8,9,10,13,15,16]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [3,4,5,1,7,8,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [[1,2,3,5,7,10,11,13],[4,6,8,9,12,14,15,16]]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [3,4,5,1,7,2,6,8] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[1,2,3,5,7,10,11,15],[4,6,8,9,12,13,14,16]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,4,5,7,1,2,8,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,7,9,10,14],[4,6,8,11,12,13,15,16]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [3,4,5,7,1,8,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[1,2,3,5,7,9,10,13],[4,6,8,11,12,14,15,16]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [3,4,5,7,8,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,7,9,10,12],[4,6,8,11,13,14,15,16]]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,5,7,1,2,6,8] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[1,2,3,5,7,9,10,15],[4,6,8,11,12,13,14,16]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,5,1,2,6,8,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,5,7,11,13,14],[4,6,8,9,10,12,15,16]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,5,8,1,2,6,7] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,7,9,10,11],[4,6,8,12,13,14,15,16]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,1,2,6,7,8] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,5,7,11,13,15],[4,6,8,9,10,12,14,16]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,6,7,8,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [[1,2,3,5,9,10,12,14],[4,6,7,8,11,13,15,16]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,4,1,2,6,7,5,8] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [[1,2,3,5,9,10,12,15],[4,6,7,8,11,13,14,16]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,4,1,2,6,5,8,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,5,9,10,13,14],[4,6,7,8,11,12,15,16]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,4,1,2,6,8,5,7] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [[1,2,3,5,9,10,12,13],[4,6,7,8,11,14,15,16]]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,4,1,2,6,5,7,8] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[1,2,3,5,9,10,13,15],[4,6,7,8,11,12,14,16]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,4,1,6,2,7,8,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,9,12,14],[4,6,7,10,11,13,15,16]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,6,2,7,5,8] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [[1,2,3,5,8,9,12,15],[4,6,7,10,11,13,14,16]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,4,1,6,7,2,8,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8,9,11,14],[4,6,7,10,12,13,15,16]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [3,4,1,6,7,8,2,5] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,8,9,11,13],[4,6,7,10,12,14,15,16]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [3,4,1,6,7,2,5,8] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[1,2,3,5,8,9,11,15],[4,6,7,10,12,13,14,16]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,4,1,6,2,5,8,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[1,2,3,5,8,9,13,14],[4,6,7,10,11,12,15,16]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [3,4,1,6,2,8,5,7] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,2,3,5,8,9,12,13],[4,6,7,10,11,14,15,16]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [3,4,1,6,8,2,5,7] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,8,9,11,12],[4,6,7,10,13,14,15,16]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,4,6,1,2,7,8,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,5,7,8,12,14],[4,6,9,10,11,13,15,16]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,4,6,1,2,7,5,8] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[1,2,3,5,7,8,12,15],[4,6,9,10,11,13,14,16]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,4,6,1,7,2,8,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [[1,2,3,5,7,8,11,14],[4,6,9,10,12,13,15,16]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [3,4,6,1,7,8,2,5] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[1,2,3,5,7,8,11,13],[4,6,9,10,12,14,15,16]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,4,6,7,1,2,8,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,5,7,8,10,14],[4,6,9,11,12,13,15,16]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [3,4,6,7,1,8,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[1,2,3,5,7,8,10,13],[4,6,9,11,12,14,15,16]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [3,4,6,7,8,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,5,7,8,10,12],[4,6,9,11,13,14,15,16]]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,4,6,7,1,2,5,8] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,5,7,8,10,15],[4,6,9,11,12,13,14,16]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,4,6,1,2,5,8,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,5,7,8,13,14],[4,6,9,10,11,12,15,16]]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,4,6,8,1,2,5,7] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[1,2,3,5,7,8,10,11],[4,6,9,12,13,14,15,16]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,4,1,2,5,7,8,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [[1,2,3,5,9,11,12,14],[4,6,7,8,10,13,15,16]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,4,1,2,5,7,6,8] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[1,2,3,5,9,11,12,15],[4,6,7,8,10,13,14,16]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,4,1,2,7,5,8,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [[1,2,3,5,9,10,11,14],[4,6,7,8,12,13,15,16]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,2,7,8,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [[1,2,3,5,9,10,11,13],[4,6,7,8,12,14,15,16]]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,4,1,2,7,5,6,8] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,5,9,10,11,15],[4,6,7,8,12,13,14,16]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,4,1,7,2,5,8,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[1,2,3,5,8,9,10,14],[4,6,7,11,12,13,15,16]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,4,7,1,2,5,8,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,5,7,8,9,14],[4,6,10,11,12,13,15,16]]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,4,7,1,8,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,5,7,8,9,12],[4,6,10,11,13,14,15,16]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,4,7,8,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,5,7,8,9,11],[4,6,10,12,13,14,15,16]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,4,1,2,5,6,8,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [[1,2,3,5,9,11,13,14],[4,6,7,8,10,12,15,16]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,4,1,2,5,8,6,7] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [[1,2,3,5,9,11,12,13],[4,6,7,8,10,14,15,16]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,4,1,2,8,5,6,7] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,5,9,10,11,12],[4,6,7,8,13,14,15,16]]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,4,1,8,2,5,6,7] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[1,2,3,5,8,9,10,11],[4,6,7,12,13,14,15,16]]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,4,8,1,2,5,6,7] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,5,7,8,9,10],[4,6,11,12,13,14,15,16]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,4,1,2,5,6,7,8] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,5,9,11,13,15],[4,6,7,8,10,12,14,16]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,5,6,7,8,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,3,7,8,10,12,14],[4,5,6,9,11,13,15,16]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,5,6,7,4,8] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[1,2,3,7,8,10,12,15],[4,5,6,9,11,13,14,16]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,5,6,8,4,7] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [[1,2,3,7,8,10,12,13],[4,5,6,9,11,14,15,16]]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,2,5,6,4,7,8] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[1,2,3,7,8,10,13,15],[4,5,6,9,11,12,14,16]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,1,2,5,4,7,6,8] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,3,7,8,11,12,15],[4,5,6,9,10,13,14,16]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,2,5,7,4,8,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [[1,2,3,7,8,10,11,14],[4,5,6,9,12,13,15,16]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,1,2,5,7,8,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,2,3,7,8,10,11,13],[4,5,6,9,12,14,15,16]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,1,2,5,7,4,6,8] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[1,2,3,7,8,10,11,15],[4,5,6,9,12,13,14,16]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,1,2,5,4,6,8,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [[1,2,3,7,8,11,13,14],[4,5,6,9,10,12,15,16]]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,1,2,5,8,4,6,7] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[1,2,3,7,8,10,11,12],[4,5,6,9,13,14,15,16]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,6,7,8,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,7,10,12,14],[4,5,8,9,11,13,15,16]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,5,2,6,4,8,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,6,7,10,13,14],[4,5,8,9,11,12,15,16]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,5,2,6,8,4,7] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[1,2,3,6,7,10,12,13],[4,5,8,9,11,14,15,16]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,5,6,2,7,8,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,6,7,9,12,14],[4,5,8,10,11,13,15,16]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,5,6,7,2,8,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,6,7,9,11,14],[4,5,8,10,12,13,15,16]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,5,6,7,8,2,4] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,6,7,9,11,13],[4,5,8,10,12,14,15,16]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,5,6,2,4,8,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,6,7,9,13,14],[4,5,8,10,11,12,15,16]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,5,6,2,8,4,7] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,6,7,9,12,13],[4,5,8,10,11,14,15,16]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,5,6,8,2,4,7] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,6,7,9,11,12],[4,5,8,10,13,14,15,16]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,5,6,2,4,7,8] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,6,7,9,13,15],[4,5,8,10,11,12,14,16]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,1,5,2,4,7,8,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,6,7,11,12,14],[4,5,8,9,10,13,15,16]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,1,5,2,4,7,6,8] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,6,7,11,12,15],[4,5,8,9,10,13,14,16]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,7,4,8,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,3,6,7,10,11,14],[4,5,8,9,12,13,15,16]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,1,5,2,7,8,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [[1,2,3,6,7,10,11,13],[4,5,8,9,12,14,15,16]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,7,4,6,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[1,2,3,6,7,10,11,15],[4,5,8,9,12,13,14,16]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,5,7,2,4,8,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,6,7,9,10,14],[4,5,8,11,12,13,15,16]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,1,5,7,2,8,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [[1,2,3,6,7,9,10,13],[4,5,8,11,12,14,15,16]]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,1,5,7,8,2,4,6] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,6,7,9,10,12],[4,5,8,11,13,14,15,16]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,1,5,7,2,4,6,8] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[1,2,3,6,7,9,10,15],[4,5,8,11,12,13,14,16]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,5,2,4,6,8,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,6,7,11,13,14],[4,5,8,9,10,12,15,16]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,1,5,2,4,8,6,7] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,6,7,11,12,13],[4,5,8,9,10,14,15,16]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,1,5,2,8,4,6,7] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[1,2,3,6,7,10,11,12],[4,5,8,9,13,14,15,16]]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,1,5,8,2,4,6,7] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,6,7,9,10,11],[4,5,8,12,13,14,15,16]]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,1,5,2,4,6,7,8] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,6,7,11,13,15],[4,5,8,9,10,12,14,16]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,5,1,2,6,7,8,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,5,6,10,12,14],[4,7,8,9,11,13,15,16]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,5,1,2,6,7,4,8] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [[1,2,3,5,6,10,12,15],[4,7,8,9,11,13,14,16]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,5,1,2,6,4,8,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [[1,2,3,5,6,10,13,14],[4,7,8,9,11,12,15,16]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,5,1,2,6,8,4,7] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[1,2,3,5,6,10,12,13],[4,7,8,9,11,14,15,16]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,5,1,6,2,7,8,4] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,6,9,12,14],[4,7,8,10,11,13,15,16]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,5,1,6,2,7,4,8] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,5,6,9,12,15],[4,7,8,10,11,13,14,16]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,5,1,6,7,2,8,4] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,6,9,11,14],[4,7,8,10,12,13,15,16]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,5,1,6,7,8,2,4] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,6,9,11,13],[4,7,8,10,12,14,15,16]]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [3,5,1,6,7,2,4,8] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,6,9,11,15],[4,7,8,10,12,13,14,16]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,5,1,6,2,4,8,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,6,9,13,14],[4,7,8,10,11,12,15,16]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,5,1,6,8,2,4,7] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,6,9,11,12],[4,7,8,10,13,14,15,16]]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,5,1,6,2,4,7,8] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,6,9,13,15],[4,7,8,10,11,12,14,16]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,5,6,1,2,7,8,4] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[1,2,3,5,6,8,12,14],[4,7,9,10,11,13,15,16]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,5,6,1,2,7,4,8] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[1,2,3,5,6,8,12,15],[4,7,9,10,11,13,14,16]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,5,6,1,7,2,8,4] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,5,6,8,11,14],[4,7,9,10,12,13,15,16]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,5,6,1,7,8,2,4] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [[1,2,3,5,6,8,11,13],[4,7,9,10,12,14,15,16]]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [3,5,6,1,7,2,4,8] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [[1,2,3,5,6,8,11,15],[4,7,9,10,12,13,14,16]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,5,6,7,1,2,8,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[1,2,3,5,6,8,10,14],[4,7,9,11,12,13,15,16]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,5,6,7,1,8,2,4] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,5,6,8,10,13],[4,7,9,11,12,14,15,16]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,5,6,7,8,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,5,6,8,10,12],[4,7,9,11,13,14,15,16]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,5,6,7,1,2,4,8] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[1,2,3,5,6,8,10,15],[4,7,9,11,12,13,14,16]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,5,6,1,2,4,8,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [[1,2,3,5,6,8,13,14],[4,7,9,10,11,12,15,16]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [3,5,6,1,2,8,4,7] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [[1,2,3,5,6,8,12,13],[4,7,9,10,11,14,15,16]]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,5,6,1,8,2,4,7] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[1,2,3,5,6,8,11,12],[4,7,9,10,13,14,15,16]]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,5,6,8,1,2,4,7] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,5,6,8,10,11],[4,7,9,12,13,14,15,16]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,5,6,1,2,4,7,8] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [[1,2,3,5,6,8,13,15],[4,7,9,10,11,12,14,16]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,5,1,2,4,7,8,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,5,6,11,12,14],[4,7,8,9,10,13,15,16]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,5,1,2,4,7,6,8] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,5,6,11,12,15],[4,7,8,9,10,13,14,16]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,5,1,2,7,4,8,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [[1,2,3,5,6,10,11,14],[4,7,8,9,12,13,15,16]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [3,5,1,2,7,8,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [[1,2,3,5,6,10,11,13],[4,7,8,9,12,14,15,16]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,5,1,2,7,4,6,8] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [[1,2,3,5,6,10,11,15],[4,7,8,9,12,13,14,16]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,5,1,7,2,4,8,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,9,10,14],[4,7,8,11,12,13,15,16]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,1,7,2,8,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [[1,2,3,5,6,9,10,13],[4,7,8,11,12,14,15,16]]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [3,5,1,7,8,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,6,9,10,12],[4,7,8,11,13,14,15,16]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,5,1,7,2,4,6,8] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[1,2,3,5,6,9,10,15],[4,7,8,11,12,13,14,16]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,7,1,2,4,8,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [[1,2,3,5,6,8,9,14],[4,7,10,11,12,13,15,16]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,5,7,1,2,8,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[1,2,3,5,6,8,9,13],[4,7,10,11,12,14,15,16]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,5,7,8,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[1,2,3,5,6,8,9,11],[4,7,10,12,13,14,15,16]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,5,7,1,2,4,6,8] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[1,2,3,5,6,8,9,15],[4,7,10,11,12,13,14,16]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,5,1,2,4,6,8,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [[1,2,3,5,6,11,13,14],[4,7,8,9,10,12,15,16]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,5,1,2,4,8,6,7] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,5,6,11,12,13],[4,7,8,9,10,14,15,16]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,5,1,2,8,4,6,7] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [[1,2,3,5,6,10,11,12],[4,7,8,9,13,14,15,16]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,5,1,8,2,4,6,7] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,6,9,10,11],[4,7,8,12,13,14,15,16]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,5,1,2,4,6,7,8] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,5,6,11,13,15],[4,7,8,9,10,12,14,16]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [3,1,2,4,6,7,8,5] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [[1,2,3,7,9,10,12,14],[4,5,6,8,11,13,15,16]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,7,5,8] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[1,2,3,7,9,10,12,15],[4,5,6,8,11,13,14,16]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [3,1,2,4,6,5,8,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,9,10,13,14],[4,5,6,8,11,12,15,16]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [3,1,2,4,6,8,5,7] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[1,2,3,7,9,10,12,13],[4,5,6,8,11,14,15,16]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [3,1,2,6,4,7,8,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [[1,2,3,7,8,9,12,14],[4,5,6,10,11,13,15,16]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [3,1,2,6,4,7,5,8] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [[1,2,3,7,8,9,12,15],[4,5,6,10,11,13,14,16]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [3,1,2,6,7,4,8,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,3,7,8,9,11,14],[4,5,6,10,12,13,15,16]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [3,1,2,6,7,8,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[1,2,3,7,8,9,11,13],[4,5,6,10,12,14,15,16]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [3,1,2,6,4,5,8,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,3,7,8,9,13,14],[4,5,6,10,11,12,15,16]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [3,1,6,2,4,7,8,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,6,7,8,12,14],[4,5,9,10,11,13,15,16]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [3,1,6,2,4,7,5,8] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [[1,2,3,6,7,8,12,15],[4,5,9,10,11,13,14,16]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [3,1,6,2,7,4,8,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[1,2,3,6,7,8,11,14],[4,5,9,10,12,13,15,16]]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [3,1,6,2,7,4,5,8] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[1,2,3,6,7,8,11,15],[4,5,9,10,12,13,14,16]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [3,1,6,7,2,8,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,3,6,7,8,10,13],[4,5,9,11,12,14,15,16]]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [3,1,6,7,2,4,5,8] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,6,7,8,10,15],[4,5,9,11,12,13,14,16]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [3,1,6,2,4,5,8,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,6,7,8,13,14],[4,5,9,10,11,12,15,16]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [3,1,6,2,4,8,5,7] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [[1,2,3,6,7,8,12,13],[4,5,9,10,11,14,15,16]]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [3,1,6,2,8,4,5,7] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [[1,2,3,6,7,8,11,12],[4,5,9,10,13,14,15,16]]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [3,1,6,8,2,4,5,7] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [[1,2,3,6,7,8,10,11],[4,5,9,12,13,14,15,16]]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [3,1,6,2,4,5,7,8] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,3,6,7,8,13,15],[4,5,9,10,11,12,14,16]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [3,6,1,2,4,7,8,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[1,2,3,5,6,7,12,14],[4,8,9,10,11,13,15,16]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [3,6,1,2,4,7,5,8] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [[1,2,3,5,6,7,12,15],[4,8,9,10,11,13,14,16]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [3,6,1,2,7,4,8,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [[1,2,3,5,6,7,11,14],[4,8,9,10,12,13,15,16]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [3,6,1,2,7,8,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[1,2,3,5,6,7,11,13],[4,8,9,10,12,14,15,16]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [3,6,1,7,2,4,8,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[1,2,3,5,6,7,10,14],[4,8,9,11,12,13,15,16]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,6,1,7,2,8,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[1,2,3,5,6,7,10,13],[4,8,9,11,12,14,15,16]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [3,6,1,7,8,2,4,5] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[1,2,3,5,6,7,10,12],[4,8,9,11,13,14,15,16]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [3,6,7,1,2,4,8,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[1,2,3,5,6,7,9,14],[4,8,10,11,12,13,15,16]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [3,6,7,1,2,8,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[1,2,3,5,6,7,9,13],[4,8,10,11,12,14,15,16]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,6,7,8,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,5,6,7,9,11],[4,8,10,12,13,14,15,16]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [3,6,7,1,2,4,5,8] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,5,6,7,9,15],[4,8,10,11,12,13,14,16]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [3,6,1,2,4,5,8,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,5,6,7,13,14],[4,8,9,10,11,12,15,16]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [3,6,1,2,4,8,5,7] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [[1,2,3,5,6,7,12,13],[4,8,9,10,11,14,15,16]]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [3,6,1,8,2,4,5,7] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [[1,2,3,5,6,7,10,11],[4,8,9,12,13,14,15,16]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [3,6,1,2,4,5,7,8] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,2,3,5,6,7,13,15],[4,8,9,10,11,12,14,16]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [3,1,2,4,5,7,8,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,3,7,9,11,12,14],[4,5,6,8,10,13,15,16]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [3,1,2,4,5,7,6,8] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,3,7,9,11,12,15],[4,5,6,8,10,13,14,16]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [3,1,2,4,7,5,8,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[1,2,3,7,9,10,11,14],[4,5,6,8,12,13,15,16]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [3,1,2,4,7,8,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[1,2,3,7,9,10,11,13],[4,5,6,8,12,14,15,16]]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [3,1,2,4,7,5,6,8] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,9,10,11,15],[4,5,6,8,12,13,14,16]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [3,1,2,7,4,8,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[1,2,3,7,8,9,10,13],[4,5,6,11,12,14,15,16]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [3,1,2,7,8,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,3,7,8,9,10,12],[4,5,6,11,13,14,15,16]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,1,2,7,4,5,6,8] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [3,1,7,2,4,5,8,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,6,7,8,9,14],[4,5,10,11,12,13,15,16]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [3,1,7,2,8,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,6,7,8,9,12],[4,5,10,11,13,14,15,16]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [3,1,7,8,2,4,5,6] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,6,7,8,9,11],[4,5,10,12,13,14,15,16]]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [3,1,7,2,4,5,6,8] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,3,6,7,8,9,15],[4,5,10,11,12,13,14,16]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [3,7,1,2,4,5,8,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [[1,2,3,5,6,7,8,14],[4,9,10,11,12,13,15,16]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [3,7,1,2,4,8,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[1,2,3,5,6,7,8,13],[4,9,10,11,12,14,15,16]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [3,7,1,2,8,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [[1,2,3,5,6,7,8,12],[4,9,10,11,13,14,15,16]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,7,8,1,2,4,5,6] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,3,5,6,7,8,10],[4,9,11,12,13,14,15,16]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [3,7,1,2,4,5,6,8] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,3,5,6,7,8,15],[4,9,10,11,12,13,14,16]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,1,2,4,5,6,8,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,3,7,9,11,13,14],[4,5,6,8,10,12,15,16]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [3,1,2,4,5,8,6,7] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,3,7,9,11,12,13],[4,5,6,8,10,14,15,16]]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [3,1,2,4,8,5,6,7] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,9,10,11,12],[4,5,6,8,13,14,15,16]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [3,1,2,8,4,5,6,7] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,8,2,4,5,6,7] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,6,7,8,9,10],[4,5,11,12,13,14,15,16]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [3,8,1,2,4,5,6,7] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,5,6,7,8,9],[4,10,11,12,13,14,15,16]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13,15],[4,5,6,8,10,12,14,16]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,8,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12,14],[2,4,7,9,11,13,15,16]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,4,5,6,7,3,8] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[1,3,5,6,8,10,12,15],[2,4,7,9,11,13,14,16]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,4,5,6,3,8,7] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[1,3,5,6,8,10,13,14],[2,4,7,9,11,12,15,16]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,6,8,3,7] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[1,3,5,6,8,10,12,13],[2,4,7,9,11,14,15,16]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,4,5,6,3,7,8] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[1,3,5,6,8,10,13,15],[2,4,7,9,11,12,14,16]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,5,3,7,8,6] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[1,3,5,6,8,11,12,14],[2,4,7,9,10,13,15,16]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,5,3,7,6,8] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[1,3,5,6,8,11,12,15],[2,4,7,9,10,13,14,16]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,7,3,8,6] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[1,3,5,6,8,10,11,14],[2,4,7,9,12,13,15,16]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,7,8,3,6] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[1,3,5,6,8,10,11,13],[2,4,7,9,12,14,15,16]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,5,7,3,6,8] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[1,3,5,6,8,10,11,15],[2,4,7,9,12,13,14,16]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,2,4,5,3,8,6,7] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,8,11,12,13],[2,4,7,9,10,14,15,16]]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,2,4,5,8,3,6,7] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[1,3,5,6,8,10,11,12],[2,4,7,9,13,14,15,16]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,2,4,5,3,6,7,8] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[1,3,5,6,8,11,13,15],[2,4,7,9,10,12,14,16]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,6,7,8,5] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,9,10,12,14],[2,4,7,8,11,13,15,16]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,2,4,3,6,7,5,8] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[1,3,5,6,9,10,12,15],[2,4,7,8,11,13,14,16]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,8,7] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10,13,14],[2,4,7,8,11,12,15,16]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,3,6,8,5,7] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[1,3,5,6,9,10,12,13],[2,4,7,8,11,14,15,16]]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,6,5,7,8] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,3,5,6,9,10,13,15],[2,4,7,8,11,12,14,16]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,2,4,6,3,7,8,5] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[1,3,5,6,8,9,12,14],[2,4,7,10,11,13,15,16]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,2,4,6,3,7,5,8] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[1,3,5,6,8,9,12,15],[2,4,7,10,11,13,14,16]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,6,7,3,8,5] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[1,3,5,6,8,9,11,14],[2,4,7,10,12,13,15,16]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,2,4,6,7,8,3,5] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[1,3,5,6,8,9,11,13],[2,4,7,10,12,14,15,16]]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,2,4,6,7,3,5,8] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[1,3,5,6,8,9,11,15],[2,4,7,10,12,13,14,16]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,6,3,5,8,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,8,9,13,14],[2,4,7,10,11,12,15,16]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,4,6,3,8,5,7] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[1,3,5,6,8,9,12,13],[2,4,7,10,11,14,15,16]]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,4,6,8,3,5,7] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[1,3,5,6,8,9,11,12],[2,4,7,10,13,14,15,16]]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,2,4,6,3,5,7,8] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[1,3,5,6,8,9,13,15],[2,4,7,10,11,12,14,16]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,2,4,3,5,7,8,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,9,11,12,14],[2,4,7,8,10,13,15,16]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5,7,6,8] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[1,3,5,6,9,11,12,15],[2,4,7,8,10,13,14,16]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,4,3,7,5,8,6] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,9,10,11,14],[2,4,7,8,12,13,15,16]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,2,4,3,7,8,5,6] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[1,3,5,6,9,10,11,13],[2,4,7,8,12,14,15,16]]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,4,3,7,5,6,8] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,5,6,9,10,11,15],[2,4,7,8,12,13,14,16]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,2,4,7,3,5,8,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[1,3,5,6,8,9,10,14],[2,4,7,11,12,13,15,16]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,4,7,3,8,5,6] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[1,3,5,6,8,9,10,13],[2,4,7,11,12,14,15,16]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,2,4,7,8,3,5,6] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[1,3,5,6,8,9,10,12],[2,4,7,11,13,14,15,16]]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,4,7,3,5,6,8] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[1,3,5,6,8,9,10,15],[2,4,7,11,12,13,14,16]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,4,3,5,6,8,7] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,2,4,3,5,8,6,7] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,9,11,12,13],[2,4,7,8,10,14,15,16]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,4,3,8,5,6,7] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,9,10,11,12],[2,4,7,8,13,14,15,16]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,4,8,3,5,6,7] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[1,3,5,6,8,9,10,11],[2,4,7,12,13,14,15,16]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,4,3,5,6,7,8] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,4,2,5,6,7,8,3] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,5,8,10,12,14],[2,6,7,9,11,13,15,16]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,4,2,5,6,7,3,8] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[1,3,4,5,8,10,12,15],[2,6,7,9,11,13,14,16]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,4,2,5,6,8,3,7] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[1,3,4,5,8,10,12,13],[2,6,7,9,11,14,15,16]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,4,2,5,3,7,8,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[1,3,4,5,8,11,12,14],[2,6,7,9,10,13,15,16]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,4,2,5,3,7,6,8] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[1,3,4,5,8,11,12,15],[2,6,7,9,10,13,14,16]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,4,2,5,7,3,8,6] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[1,3,4,5,8,10,11,14],[2,6,7,9,12,13,15,16]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,4,2,5,7,8,3,6] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[1,3,4,5,8,10,11,13],[2,6,7,9,12,14,15,16]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,4,2,5,7,3,6,8] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[1,3,4,5,8,10,11,15],[2,6,7,9,12,13,14,16]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,4,2,5,3,6,8,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[1,3,4,5,8,11,13,14],[2,6,7,9,10,12,15,16]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,4,2,5,3,8,6,7] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[1,3,4,5,8,11,12,13],[2,6,7,9,10,14,15,16]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,4,2,5,8,3,6,7] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[1,3,4,5,8,10,11,12],[2,6,7,9,13,14,15,16]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,4,2,5,3,6,7,8] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[1,3,4,5,8,11,13,15],[2,6,7,9,10,12,14,16]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,4,5,2,6,7,8,3] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,3,4,5,7,10,12,14],[2,6,8,9,11,13,15,16]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,4,5,2,6,7,3,8] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[1,3,4,5,7,10,12,15],[2,6,8,9,11,13,14,16]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,4,5,2,6,3,8,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[1,3,4,5,7,10,13,14],[2,6,8,9,11,12,15,16]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,4,5,2,6,8,3,7] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[1,3,4,5,7,10,12,13],[2,6,8,9,11,14,15,16]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,4,5,2,6,3,7,8] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[1,3,4,5,7,10,13,15],[2,6,8,9,11,12,14,16]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,4,5,6,2,7,8,3] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,3,4,5,7,9,12,14],[2,6,8,10,11,13,15,16]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,4,5,6,2,7,3,8] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[1,3,4,5,7,9,12,15],[2,6,8,10,11,13,14,16]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,4,5,6,7,2,8,3] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,9,11,14],[2,6,8,10,12,13,15,16]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,5,6,7,8,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9,11,13],[2,6,8,10,12,14,15,16]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,7,2,3,8] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,3,4,5,7,9,11,15],[2,6,8,10,12,13,14,16]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,4,5,6,2,3,8,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[1,3,4,5,7,9,13,14],[2,6,8,10,11,12,15,16]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,4,5,6,2,8,3,7] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[1,3,4,5,7,9,12,13],[2,6,8,10,11,14,15,16]]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,4,5,6,8,2,3,7] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,9,11,12],[2,6,8,10,13,14,15,16]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,4,5,2,3,7,8,6] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[1,3,4,5,7,11,12,14],[2,6,8,9,10,13,15,16]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,4,5,2,3,7,6,8] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,7,11,12,15],[2,6,8,9,10,13,14,16]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,4,5,2,7,3,8,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[1,3,4,5,7,10,11,14],[2,6,8,9,12,13,15,16]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,4,5,2,7,8,3,6] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[1,3,4,5,7,10,11,13],[2,6,8,9,12,14,15,16]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,4,5,2,7,3,6,8] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[1,3,4,5,7,10,11,15],[2,6,8,9,12,13,14,16]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,4,5,7,2,3,8,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[1,3,4,5,7,9,10,14],[2,6,8,11,12,13,15,16]]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,4,5,7,8,2,3,6] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,7,9,10,12],[2,6,8,11,13,14,15,16]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,4,5,7,2,3,6,8] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[1,3,4,5,7,9,10,15],[2,6,8,11,12,13,14,16]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,4,5,2,3,8,6,7] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,7,11,12,13],[2,6,8,9,10,14,15,16]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,4,5,2,8,3,6,7] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[1,3,4,5,7,10,11,12],[2,6,8,9,13,14,15,16]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,4,5,2,3,6,7,8] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,3,4,5,7,11,13,15],[2,6,8,9,10,12,14,16]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,4,2,3,6,7,8,5] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[1,3,4,5,9,10,12,14],[2,6,7,8,11,13,15,16]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,4,2,3,6,7,5,8] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[1,3,4,5,9,10,12,15],[2,6,7,8,11,13,14,16]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,4,2,3,6,5,8,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,5,9,10,13,14],[2,6,7,8,11,12,15,16]]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,4,2,3,6,5,7,8] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[1,3,4,5,9,10,13,15],[2,6,7,8,11,12,14,16]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,6,3,7,5,8] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[1,3,4,5,8,9,12,15],[2,6,7,10,11,13,14,16]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,6,7,8,3,5] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[1,3,4,5,8,9,11,13],[2,6,7,10,12,14,15,16]]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,4,2,6,7,3,5,8] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[1,3,4,5,8,9,11,15],[2,6,7,10,12,13,14,16]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,6,3,5,8,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,8,9,13,14],[2,6,7,10,11,12,15,16]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,8,5,7] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,3,4,5,8,9,12,13],[2,6,7,10,11,14,15,16]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,4,2,6,8,3,5,7] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[1,3,4,5,8,9,11,12],[2,6,7,10,13,14,15,16]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,6,3,5,7,8] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[1,3,4,5,8,9,13,15],[2,6,7,10,11,12,14,16]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,4,6,2,3,7,8,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[1,3,4,5,7,8,12,14],[2,6,9,10,11,13,15,16]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,4,6,2,7,3,8,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[1,3,4,5,7,8,11,14],[2,6,9,10,12,13,15,16]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,4,6,2,7,8,3,5] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[1,3,4,5,7,8,11,13],[2,6,9,10,12,14,15,16]]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,7,3,5,8] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[1,3,4,5,7,8,11,15],[2,6,9,10,12,13,14,16]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,4,6,7,2,8,3,5] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[1,3,4,5,7,8,10,13],[2,6,9,11,12,14,15,16]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,4,6,7,8,2,3,5] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,7,8,10,12],[2,6,9,11,13,14,15,16]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,4,6,7,2,3,5,8] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[1,3,4,5,7,8,10,15],[2,6,9,11,12,13,14,16]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,4,6,2,3,5,8,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,7,8,13,14],[2,6,9,10,11,12,15,16]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,4,6,2,3,8,5,7] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[1,3,4,5,7,8,12,13],[2,6,9,10,11,14,15,16]]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,4,6,2,8,3,5,7] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[1,3,4,5,7,8,11,12],[2,6,9,10,13,14,15,16]]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,4,6,8,2,3,5,7] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[1,3,4,5,7,8,10,11],[2,6,9,12,13,14,15,16]]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,4,6,2,3,5,7,8] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[1,3,4,5,7,8,13,15],[2,6,9,10,11,12,14,16]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,4,2,3,5,7,8,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[1,3,4,5,9,11,12,14],[2,6,7,8,10,13,15,16]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2,3,5,7,6,8] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[1,3,4,5,9,11,12,15],[2,6,7,8,10,13,14,16]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,4,2,3,7,5,8,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,9,10,11,14],[2,6,7,8,12,13,15,16]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,4,2,3,7,8,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,9,10,11,13],[2,6,7,8,12,14,15,16]]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,4,2,3,7,5,6,8] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,5,9,10,11,15],[2,6,7,8,12,13,14,16]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,4,2,7,3,5,8,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,8,9,10,14],[2,6,7,11,12,13,15,16]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,4,2,7,3,8,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[1,3,4,5,8,9,10,13],[2,6,7,11,12,14,15,16]]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,4,2,7,8,3,5,6] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,8,9,10,12],[2,6,7,11,13,14,15,16]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,4,2,7,3,5,6,8] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[1,3,4,5,8,9,10,15],[2,6,7,11,12,13,14,16]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,4,7,2,3,5,8,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[1,3,4,5,7,8,9,14],[2,6,10,11,12,13,15,16]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,4,7,2,3,8,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[1,3,4,5,7,8,9,13],[2,6,10,11,12,14,15,16]]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,4,7,2,8,3,5,6] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[1,3,4,5,7,8,9,12],[2,6,10,11,13,14,15,16]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,4,7,8,2,3,5,6] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[1,3,4,5,7,8,9,11],[2,6,10,12,13,14,15,16]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,4,7,2,3,5,6,8] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[1,3,4,5,7,8,9,15],[2,6,10,11,12,13,14,16]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,4,2,3,5,6,8,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[1,3,4,5,9,11,13,14],[2,6,7,8,10,12,15,16]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,4,2,3,5,8,6,7] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[1,3,4,5,9,11,12,13],[2,6,7,8,10,14,15,16]]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,4,2,3,8,5,6,7] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,9,10,11,12],[2,6,7,8,13,14,15,16]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,4,2,8,3,5,6,7] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,8,9,10,11],[2,6,7,12,13,14,15,16]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,4,8,2,3,5,6,7] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,7,8,9,10],[2,6,11,12,13,14,15,16]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,4,2,3,5,6,7,8] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13,15],[2,6,7,8,10,12,14,16]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,2,5,6,7,8,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,8,10,12,14],[5,6,7,9,11,13,15,16]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [4,1,2,5,6,7,3,8] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,4,8,10,12,15],[5,6,7,9,11,13,14,16]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,5,6,3,8,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [[1,2,3,4,8,10,13,14],[5,6,7,9,11,12,15,16]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [4,1,2,5,6,8,3,7] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [[1,2,3,4,8,10,12,13],[5,6,7,9,11,14,15,16]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [4,1,2,5,6,3,7,8] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[1,2,3,4,8,10,13,15],[5,6,7,9,11,12,14,16]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,1,2,5,3,7,8,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[1,2,3,4,8,11,12,14],[5,6,7,9,10,13,15,16]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,5,3,7,6,8] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[1,2,3,4,8,11,12,15],[5,6,7,9,10,13,14,16]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [4,1,2,5,7,3,8,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[1,2,3,4,8,10,11,14],[5,6,7,9,12,13,15,16]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,1,2,5,7,8,3,6] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[1,2,3,4,8,10,11,13],[5,6,7,9,12,14,15,16]]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [4,1,2,5,7,3,6,8] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[1,2,3,4,8,10,11,15],[5,6,7,9,12,13,14,16]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [4,1,2,5,3,8,6,7] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [[1,2,3,4,8,11,12,13],[5,6,7,9,10,14,15,16]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,1,2,5,8,3,6,7] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [[1,2,3,4,8,10,11,12],[5,6,7,9,13,14,15,16]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,5,3,6,7,8] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,4,8,11,13,15],[5,6,7,9,10,12,14,16]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,5,2,6,7,8,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,7,10,12,14],[5,6,8,9,11,13,15,16]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [4,1,5,2,6,3,8,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,4,7,10,13,14],[5,6,8,9,11,12,15,16]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,1,5,2,6,8,3,7] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[1,2,3,4,7,10,12,13],[5,6,8,9,11,14,15,16]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [4,1,5,2,6,3,7,8] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[1,2,3,4,7,10,13,15],[5,6,8,9,11,12,14,16]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [4,1,5,6,7,2,8,3] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,4,7,9,11,14],[5,6,8,10,12,13,15,16]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,1,5,6,7,8,2,3] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,7,9,11,13],[5,6,8,10,12,14,15,16]]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [4,1,5,6,7,2,3,8] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,4,7,9,11,15],[5,6,8,10,12,13,14,16]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [4,1,5,6,2,3,8,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,4,7,9,13,14],[5,6,8,10,11,12,15,16]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [4,1,5,6,2,8,3,7] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,4,7,9,12,13],[5,6,8,10,11,14,15,16]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [4,1,5,6,8,2,3,7] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,4,7,9,11,12],[5,6,8,10,13,14,15,16]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [4,1,5,6,2,3,7,8] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,4,7,9,13,15],[5,6,8,10,11,12,14,16]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3,7,8,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,7,11,12,14],[5,6,8,9,10,13,15,16]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [4,1,5,2,3,7,6,8] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,7,11,12,15],[5,6,8,9,10,13,14,16]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [4,1,5,2,7,3,8,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[1,2,3,4,7,10,11,14],[5,6,8,9,12,13,15,16]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [4,1,5,2,7,8,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[1,2,3,4,7,10,11,13],[5,6,8,9,12,14,15,16]]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [4,1,5,2,7,3,6,8] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[1,2,3,4,7,10,11,15],[5,6,8,9,12,13,14,16]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [4,1,5,7,2,8,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[1,2,3,4,7,9,10,13],[5,6,8,11,12,14,15,16]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [4,1,5,7,2,3,6,8] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[1,2,3,4,7,9,10,15],[5,6,8,11,12,13,14,16]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [4,1,5,2,3,8,6,7] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,7,11,12,13],[5,6,8,9,10,14,15,16]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [4,1,5,2,8,3,6,7] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [[1,2,3,4,7,10,11,12],[5,6,8,9,13,14,15,16]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [4,5,1,2,6,7,8,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,6,10,12,14],[5,7,8,9,11,13,15,16]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [4,5,1,2,6,7,3,8] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[1,2,3,4,6,10,12,15],[5,7,8,9,11,13,14,16]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [4,5,1,2,6,3,8,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[1,2,3,4,6,10,13,14],[5,7,8,9,11,12,15,16]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [4,5,1,2,6,8,3,7] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [[1,2,3,4,6,10,12,13],[5,7,8,9,11,14,15,16]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [4,5,1,6,2,7,8,3] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [[1,2,3,4,6,9,12,14],[5,7,8,10,11,13,15,16]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [4,5,1,6,2,7,3,8] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,4,6,9,12,15],[5,7,8,10,11,13,14,16]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [4,5,1,6,7,2,8,3] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [[1,2,3,4,6,9,11,14],[5,7,8,10,12,13,15,16]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [4,5,1,6,7,8,2,3] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,6,9,11,13],[5,7,8,10,12,14,15,16]]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [4,5,1,6,7,2,3,8] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[1,2,3,4,6,9,11,15],[5,7,8,10,12,13,14,16]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [4,5,1,6,2,3,8,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[1,2,3,4,6,9,13,14],[5,7,8,10,11,12,15,16]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [4,5,1,6,2,8,3,7] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[1,2,3,4,6,9,12,13],[5,7,8,10,11,14,15,16]]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [4,5,1,6,8,2,3,7] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [[1,2,3,4,6,9,11,12],[5,7,8,10,13,14,15,16]]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [4,5,1,6,2,3,7,8] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[1,2,3,4,6,9,13,15],[5,7,8,10,11,12,14,16]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [4,5,6,1,2,7,8,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,6,8,12,14],[5,7,9,10,11,13,15,16]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [4,5,6,1,2,7,3,8] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,6,8,12,15],[5,7,9,10,11,13,14,16]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [4,5,6,1,7,2,8,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,6,8,11,14],[5,7,9,10,12,13,15,16]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [4,5,6,1,7,8,2,3] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[1,2,3,4,6,8,11,13],[5,7,9,10,12,14,15,16]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [4,5,6,1,7,2,3,8] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[1,2,3,4,6,8,11,15],[5,7,9,10,12,13,14,16]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [4,5,6,7,1,2,8,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,8,10,14],[5,7,9,11,12,13,15,16]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [4,5,6,7,1,8,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,6,8,10,13],[5,7,9,11,12,14,15,16]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [4,5,6,7,8,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8,10,12],[5,7,9,11,13,14,15,16]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,7,1,2,3,8] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,8,10,15],[5,7,9,11,12,13,14,16]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,6,1,2,3,8,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,6,8,13,14],[5,7,9,10,11,12,15,16]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,6,1,2,8,3,7] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[1,2,3,4,6,8,12,13],[5,7,9,10,11,14,15,16]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,6,1,8,2,3,7] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,6,8,11,12],[5,7,9,10,13,14,15,16]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,6,8,1,2,3,7] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,8,10,11],[5,7,9,12,13,14,15,16]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,6,1,2,3,7,8] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[1,2,3,4,6,8,13,15],[5,7,9,10,11,12,14,16]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [4,5,1,2,3,7,6,8] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,6,11,12,15],[5,7,8,9,10,13,14,16]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [4,5,1,2,7,3,8,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [[1,2,3,4,6,10,11,14],[5,7,8,9,12,13,15,16]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [4,5,1,2,7,8,3,6] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[1,2,3,4,6,10,11,13],[5,7,8,9,12,14,15,16]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,7,3,6,8] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[1,2,3,4,6,10,11,15],[5,7,8,9,12,13,14,16]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [4,5,1,7,2,3,8,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [[1,2,3,4,6,9,10,14],[5,7,8,11,12,13,15,16]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [4,5,1,7,2,8,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[1,2,3,4,6,9,10,13],[5,7,8,11,12,14,15,16]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [4,5,1,7,8,2,3,6] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[1,2,3,4,6,9,10,12],[5,7,8,11,13,14,15,16]]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [4,5,1,7,2,3,6,8] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [[1,2,3,4,6,9,10,15],[5,7,8,11,12,13,14,16]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [4,5,7,1,2,3,8,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,6,8,9,14],[5,7,10,11,12,13,15,16]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [4,5,7,1,2,8,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[1,2,3,4,6,8,9,13],[5,7,10,11,12,14,15,16]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [4,5,7,8,1,2,3,6] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,6,8,9,11],[5,7,10,12,13,14,15,16]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [4,5,1,2,3,8,6,7] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,6,11,12,13],[5,7,8,9,10,14,15,16]]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [4,5,1,2,8,3,6,7] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[1,2,3,4,6,10,11,12],[5,7,8,9,13,14,15,16]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [4,5,1,8,2,3,6,7] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[1,2,3,4,6,9,10,11],[5,7,8,12,13,14,15,16]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [4,5,8,1,2,3,6,7] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,6,8,9,10],[5,7,11,12,13,14,15,16]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [4,5,1,2,3,6,7,8] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,6,11,13,15],[5,7,8,9,10,12,14,16]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,6,7,8,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[1,2,3,4,9,10,12,14],[5,6,7,8,11,13,15,16]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,6,7,5,8] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[1,2,3,4,9,10,12,15],[5,6,7,8,11,13,14,16]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [4,1,2,3,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,4,9,10,13,14],[5,6,7,8,11,12,15,16]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [4,1,2,3,6,8,5,7] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[1,2,3,4,9,10,12,13],[5,6,7,8,11,14,15,16]]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [4,1,2,3,6,5,7,8] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[1,2,3,4,9,10,13,15],[5,6,7,8,11,12,14,16]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,2,6,3,7,8,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[1,2,3,4,8,9,12,14],[5,6,7,10,11,13,15,16]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [4,1,2,6,3,7,5,8] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[1,2,3,4,8,9,12,15],[5,6,7,10,11,13,14,16]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [4,1,2,6,7,3,8,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[1,2,3,4,8,9,11,14],[5,6,7,10,12,13,15,16]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [4,1,2,6,7,3,5,8] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[1,2,3,4,8,9,11,15],[5,6,7,10,12,13,14,16]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,6,3,5,8,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[1,2,3,4,8,9,13,14],[5,6,7,10,11,12,15,16]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [4,1,2,6,3,8,5,7] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[1,2,3,4,8,9,12,13],[5,6,7,10,11,14,15,16]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,7,8,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,7,8,12,14],[5,6,9,10,11,13,15,16]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [4,1,6,2,3,7,5,8] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,7,8,12,15],[5,6,9,10,11,13,14,16]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,6,2,7,3,8,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,7,8,11,14],[5,6,9,10,12,13,15,16]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [4,1,6,2,7,3,5,8] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[1,2,3,4,7,8,11,15],[5,6,9,10,12,13,14,16]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,6,7,2,3,8,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,7,8,10,14],[5,6,9,11,12,13,15,16]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [4,1,6,7,2,3,5,8] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,7,8,10,15],[5,6,9,11,12,13,14,16]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,7,8,13,14],[5,6,9,10,11,12,15,16]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [4,1,6,2,3,8,5,7] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[1,2,3,4,7,8,12,13],[5,6,9,10,11,14,15,16]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [4,1,6,2,8,3,5,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,7,8,11,12],[5,6,9,10,13,14,15,16]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [4,1,6,8,2,3,5,7] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,7,8,10,11],[5,6,9,12,13,14,15,16]]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [4,1,6,2,3,5,7,8] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[1,2,3,4,7,8,13,15],[5,6,9,10,11,12,14,16]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [4,6,1,2,3,7,5,8] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[1,2,3,4,6,7,12,15],[5,8,9,10,11,13,14,16]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [4,6,1,2,7,8,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[1,2,3,4,6,7,11,13],[5,8,9,10,12,14,15,16]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [4,6,1,2,7,3,5,8] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[1,2,3,4,6,7,11,15],[5,8,9,10,12,13,14,16]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [4,6,1,7,2,3,8,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,7,10,14],[5,8,9,11,12,13,15,16]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [4,6,1,7,2,8,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [[1,2,3,4,6,7,10,13],[5,8,9,11,12,14,15,16]]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [4,6,1,7,8,2,3,5] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,7,10,12],[5,8,9,11,13,14,15,16]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [4,6,1,7,2,3,5,8] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,7,10,15],[5,8,9,11,12,13,14,16]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [4,6,7,1,2,3,8,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[1,2,3,4,6,7,9,14],[5,8,10,11,12,13,15,16]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [4,6,7,1,2,8,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[1,2,3,4,6,7,9,13],[5,8,10,11,12,14,15,16]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [4,6,7,1,8,2,3,5] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[1,2,3,4,6,7,9,12],[5,8,10,11,13,14,15,16]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [4,6,7,8,1,2,3,5] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,6,7,9,11],[5,8,10,12,13,14,15,16]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [4,6,7,1,2,3,5,8] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,6,7,9,15],[5,8,10,11,12,13,14,16]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,1,2,3,5,8,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,6,7,13,14],[5,8,9,10,11,12,15,16]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [4,6,1,2,3,8,5,7] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[1,2,3,4,6,7,12,13],[5,8,9,10,11,14,15,16]]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [4,6,1,2,8,3,5,7] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[1,2,3,4,6,7,11,12],[5,8,9,10,13,14,15,16]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [4,6,1,8,2,3,5,7] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,7,10,11],[5,8,9,12,13,14,15,16]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [4,6,8,1,2,3,5,7] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,6,7,9,10],[5,8,11,12,13,14,15,16]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [4,6,1,2,3,5,7,8] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,6,7,13,15],[5,8,9,10,11,12,14,16]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [4,1,2,3,5,7,8,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[1,2,3,4,9,11,12,14],[5,6,7,8,10,13,15,16]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [4,1,2,3,5,7,6,8] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[1,2,3,4,9,11,12,15],[5,6,7,8,10,13,14,16]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [4,1,2,3,7,5,8,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [[1,2,3,4,9,10,11,14],[5,6,7,8,12,13,15,16]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [4,1,2,3,7,8,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[1,2,3,4,9,10,11,13],[5,6,7,8,12,14,15,16]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [4,1,2,3,7,5,6,8] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,4,9,10,11,15],[5,6,7,8,12,13,14,16]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [4,1,2,7,3,5,8,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8,9,10,14],[5,6,7,11,12,13,15,16]]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [4,1,2,7,8,3,5,6] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,8,9,10,12],[5,6,7,11,13,14,15,16]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [4,1,2,7,3,5,6,8] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[1,2,3,4,8,9,10,15],[5,6,7,11,12,13,14,16]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [4,1,7,2,3,5,8,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,7,8,9,14],[5,6,10,11,12,13,15,16]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [4,1,7,2,3,8,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[1,2,3,4,7,8,9,13],[5,6,10,11,12,14,15,16]]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [4,1,7,2,8,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,7,8,9,12],[5,6,10,11,13,14,15,16]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [4,1,7,8,2,3,5,6] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,7,8,9,11],[5,6,10,12,13,14,15,16]]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [4,1,7,2,3,5,6,8] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,7,8,9,15],[5,6,10,11,12,13,14,16]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [4,7,1,2,3,8,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [[1,2,3,4,6,7,8,13],[5,9,10,11,12,14,15,16]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [4,7,1,2,8,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [[1,2,3,4,6,7,8,12],[5,9,10,11,13,14,15,16]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [4,7,1,8,2,3,5,6] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,6,7,8,11],[5,9,10,12,13,14,15,16]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [4,7,8,1,2,3,5,6] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,6,7,8,10],[5,9,11,12,13,14,15,16]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [4,1,2,3,5,6,8,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [[1,2,3,4,9,11,13,14],[5,6,7,8,10,12,15,16]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [4,1,2,3,5,8,6,7] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [[1,2,3,4,9,11,12,13],[5,6,7,8,10,14,15,16]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [4,1,2,3,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,2,8,3,5,6,7] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,8,9,10,11],[5,6,7,12,13,14,15,16]]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [4,1,8,2,3,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,7,8,9,10],[5,6,11,12,13,14,15,16]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [4,8,1,2,3,5,6,7] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,6,7,8,9],[5,10,11,12,13,14,15,16]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [4,1,2,3,5,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,9,11,13,15],[5,6,7,8,10,12,14,16]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,2,3,5,6,7,8,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12,14],[2,4,6,9,11,13,15,16]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,2,3,5,6,7,4,8] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,5,7,8,10,12,15],[2,4,6,9,11,13,14,16]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,2,3,5,6,4,8,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[1,3,5,7,8,10,13,14],[2,4,6,9,11,12,15,16]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,8,4,7] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[1,3,5,7,8,10,12,13],[2,4,6,9,11,14,15,16]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,2,3,5,6,4,7,8] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,5,7,8,10,13,15],[2,4,6,9,11,12,14,16]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,2,3,5,4,7,8,6] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[1,3,5,7,8,11,12,14],[2,4,6,9,10,13,15,16]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6,8] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,7,8,11,12,15],[2,4,6,9,10,13,14,16]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,2,3,5,7,4,8,6] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[1,3,5,7,8,10,11,14],[2,4,6,9,12,13,15,16]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,2,3,5,7,8,4,6] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[1,3,5,7,8,10,11,13],[2,4,6,9,12,14,15,16]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,2,3,5,7,4,6,8] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[1,3,5,7,8,10,11,15],[2,4,6,9,12,13,14,16]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,2,3,5,4,6,8,7] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,7,8,11,13,14],[2,4,6,9,10,12,15,16]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,2,3,5,4,8,6,7] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,7,8,11,12,13],[2,4,6,9,10,14,15,16]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,2,3,5,8,4,6,7] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[1,3,5,7,8,10,11,12],[2,4,6,9,13,14,15,16]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,2,3,5,4,6,7,8] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,2,5,3,6,7,8,4] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,3,5,6,7,10,12,14],[2,4,8,9,11,13,15,16]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,2,5,3,6,7,4,8] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[1,3,5,6,7,10,12,15],[2,4,8,9,11,13,14,16]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,2,5,3,6,4,8,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[1,3,5,6,7,10,13,14],[2,4,8,9,11,12,15,16]]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,2,5,3,6,4,7,8] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[1,3,5,6,7,10,13,15],[2,4,8,9,11,12,14,16]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,2,5,6,3,7,8,4] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[1,3,5,6,7,9,12,14],[2,4,8,10,11,13,15,16]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,2,5,6,3,7,4,8] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[1,3,5,6,7,9,12,15],[2,4,8,10,11,13,14,16]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,2,5,6,7,3,8,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[1,3,5,6,7,9,11,14],[2,4,8,10,12,13,15,16]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,2,5,6,7,8,3,4] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[1,3,5,6,7,9,11,13],[2,4,8,10,12,14,15,16]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,2,5,6,3,4,8,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,9,13,14],[2,4,8,10,11,12,15,16]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,2,5,6,3,8,4,7] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[1,3,5,6,7,9,12,13],[2,4,8,10,11,14,15,16]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,2,5,6,8,3,4,7] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[1,3,5,6,7,9,11,12],[2,4,8,10,13,14,15,16]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,2,5,6,3,4,7,8] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[1,3,5,6,7,9,13,15],[2,4,8,10,11,12,14,16]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,2,5,3,4,7,8,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[1,3,5,6,7,11,12,14],[2,4,8,9,10,13,15,16]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,2,5,3,4,7,6,8] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,5,6,7,11,12,15],[2,4,8,9,10,13,14,16]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,2,5,3,7,4,8,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[1,3,5,6,7,10,11,14],[2,4,8,9,12,13,15,16]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,2,5,3,7,8,4,6] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[1,3,5,6,7,10,11,13],[2,4,8,9,12,14,15,16]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,2,5,3,7,4,6,8] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[1,3,5,6,7,10,11,15],[2,4,8,9,12,13,14,16]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,2,5,7,3,4,8,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[1,3,5,6,7,9,10,14],[2,4,8,11,12,13,15,16]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,2,5,7,3,8,4,6] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[1,3,5,6,7,9,10,13],[2,4,8,11,12,14,15,16]]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,2,5,7,8,3,4,6] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[1,3,5,6,7,9,10,12],[2,4,8,11,13,14,15,16]]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6,8] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[1,3,5,6,7,9,10,15],[2,4,8,11,12,13,14,16]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,2,5,3,4,6,8,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,3,5,6,7,11,13,14],[2,4,8,9,10,12,15,16]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4,8,6,7] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,5,6,7,11,12,13],[2,4,8,9,10,14,15,16]]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,2,5,3,8,4,6,7] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[1,3,5,6,7,10,11,12],[2,4,8,9,13,14,15,16]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,2,5,8,3,4,6,7] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,3,5,6,7,9,10,11],[2,4,8,12,13,14,15,16]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,2,5,3,4,6,7,8] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,5,6,7,11,13,15],[2,4,8,9,10,12,14,16]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,5,2,3,6,7,8,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[1,3,4,5,6,10,12,14],[2,7,8,9,11,13,15,16]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,5,2,3,6,7,4,8] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[1,3,4,5,6,10,12,15],[2,7,8,9,11,13,14,16]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,5,2,3,6,4,8,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[1,3,4,5,6,10,13,14],[2,7,8,9,11,12,15,16]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,5,2,3,6,8,4,7] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[1,3,4,5,6,10,12,13],[2,7,8,9,11,14,15,16]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,5,2,3,6,4,7,8] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[1,3,4,5,6,10,13,15],[2,7,8,9,11,12,14,16]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,5,2,6,3,7,8,4] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[1,3,4,5,6,9,12,14],[2,7,8,10,11,13,15,16]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,5,2,6,3,7,4,8] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[1,3,4,5,6,9,12,15],[2,7,8,10,11,13,14,16]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,5,2,6,7,3,4,8] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[1,3,4,5,6,9,11,15],[2,7,8,10,12,13,14,16]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,5,2,6,3,4,8,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[1,3,4,5,6,9,13,14],[2,7,8,10,11,12,15,16]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,3,8,4,7] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[1,3,4,5,6,9,12,13],[2,7,8,10,11,14,15,16]]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,5,2,6,8,3,4,7] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[1,3,4,5,6,9,11,12],[2,7,8,10,13,14,15,16]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,5,2,6,3,4,7,8] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[1,3,4,5,6,9,13,15],[2,7,8,10,11,12,14,16]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,5,6,2,3,7,8,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[1,3,4,5,6,8,12,14],[2,7,9,10,11,13,15,16]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,5,6,2,7,8,3,4] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[1,3,4,5,6,8,11,13],[2,7,9,10,12,14,15,16]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,5,6,2,7,3,4,8] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[1,3,4,5,6,8,11,15],[2,7,9,10,12,13,14,16]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,5,6,7,2,3,8,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[1,3,4,5,6,8,10,14],[2,7,9,11,12,13,15,16]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,5,6,7,2,8,3,4] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[1,3,4,5,6,8,10,13],[2,7,9,11,12,14,15,16]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,5,6,7,8,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10,12],[2,7,9,11,13,14,15,16]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,5,6,7,2,3,4,8] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[1,3,4,5,6,8,10,15],[2,7,9,11,12,13,14,16]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,5,6,2,3,4,8,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,8,13,14],[2,7,9,10,11,12,15,16]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,5,6,2,3,8,4,7] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[1,3,4,5,6,8,12,13],[2,7,9,10,11,14,15,16]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,5,6,2,8,3,4,7] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[1,3,4,5,6,8,11,12],[2,7,9,10,13,14,15,16]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,5,6,8,2,3,4,7] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[1,3,4,5,6,8,10,11],[2,7,9,12,13,14,15,16]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,5,6,2,3,4,7,8] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,8,13,15],[2,7,9,10,11,12,14,16]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,5,2,3,4,7,8,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[1,3,4,5,6,11,12,14],[2,7,8,9,10,13,15,16]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,6,11,12,15],[2,7,8,9,10,13,14,16]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,5,2,3,7,4,8,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[1,3,4,5,6,10,11,14],[2,7,8,9,12,13,15,16]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,5,2,3,7,8,4,6] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[1,3,4,5,6,10,11,13],[2,7,8,9,12,14,15,16]]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,5,2,3,7,4,6,8] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[1,3,4,5,6,10,11,15],[2,7,8,9,12,13,14,16]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,5,2,7,3,4,8,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,9,10,14],[2,7,8,11,12,13,15,16]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,5,2,7,3,8,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[1,3,4,5,6,9,10,13],[2,7,8,11,12,14,15,16]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,5,2,7,8,3,4,6] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,9,10,12],[2,7,8,11,13,14,15,16]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,5,2,7,3,4,6,8] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[1,3,4,5,6,9,10,15],[2,7,8,11,12,13,14,16]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,5,7,2,3,4,8,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[1,3,4,5,6,8,9,14],[2,7,10,11,12,13,15,16]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,5,7,2,3,8,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[1,3,4,5,6,8,9,13],[2,7,10,11,12,14,15,16]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,5,7,2,8,3,4,6] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[1,3,4,5,6,8,9,12],[2,7,10,11,13,14,15,16]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,5,7,8,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,8,9,11],[2,7,10,12,13,14,15,16]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,5,7,2,3,4,6,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[1,3,4,5,6,8,9,15],[2,7,10,11,12,13,14,16]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,5,2,3,4,6,8,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[1,3,4,5,6,11,13,14],[2,7,8,9,10,12,15,16]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,5,2,3,4,8,6,7] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,6,11,12,13],[2,7,8,9,10,14,15,16]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,5,2,3,8,4,6,7] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[1,3,4,5,6,10,11,12],[2,7,8,9,13,14,15,16]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,5,2,8,3,4,6,7] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,9,10,11],[2,7,8,12,13,14,15,16]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,5,2,3,4,6,7,8] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[1,3,4,5,6,11,13,15],[2,7,8,9,10,12,14,16]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,6,7,8,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,5,10,12,14],[6,7,8,9,11,13,15,16]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,6,7,4,8] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[1,2,3,4,5,10,12,15],[6,7,8,9,11,13,14,16]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,1,2,3,6,8,4,7] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[1,2,3,4,5,10,12,13],[6,7,8,9,11,14,15,16]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [5,1,2,3,6,4,7,8] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[1,2,3,4,5,10,13,15],[6,7,8,9,11,12,14,16]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [5,1,2,6,3,7,8,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[1,2,3,4,5,9,12,14],[6,7,8,10,11,13,15,16]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [5,1,2,6,3,7,4,8] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,4,5,9,12,15],[6,7,8,10,11,13,14,16]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [5,1,2,6,7,3,8,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [[1,2,3,4,5,9,11,14],[6,7,8,10,12,13,15,16]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [5,1,2,6,7,8,3,4] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,5,9,11,13],[6,7,8,10,12,14,15,16]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [5,1,2,6,7,3,4,8] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[1,2,3,4,5,9,11,15],[6,7,8,10,12,13,14,16]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [5,1,2,6,3,8,4,7] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [[1,2,3,4,5,9,12,13],[6,7,8,10,11,14,15,16]]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [5,1,2,6,8,3,4,7] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[1,2,3,4,5,9,11,12],[6,7,8,10,13,14,15,16]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [5,1,2,6,3,4,7,8] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[1,2,3,4,5,9,13,15],[6,7,8,10,11,12,14,16]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [5,1,6,2,3,7,8,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,5,8,12,14],[6,7,9,10,11,13,15,16]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [5,1,6,2,3,7,4,8] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,5,8,12,15],[6,7,9,10,11,13,14,16]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,6,2,7,3,8,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,8,11,14],[6,7,9,10,12,13,15,16]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [5,1,6,2,7,8,3,4] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[1,2,3,4,5,8,11,13],[6,7,9,10,12,14,15,16]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [5,1,6,2,7,3,4,8] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[1,2,3,4,5,8,11,15],[6,7,9,10,12,13,14,16]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [5,1,6,7,2,3,8,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,5,8,10,14],[6,7,9,11,12,13,15,16]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [5,1,6,7,2,8,3,4] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,8,10,13],[6,7,9,11,12,14,15,16]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [5,1,6,7,8,2,3,4] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,8,10,12],[6,7,9,11,13,14,15,16]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [5,1,6,2,3,4,8,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,8,13,14],[6,7,9,10,11,12,15,16]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [5,1,6,2,3,8,4,7] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[1,2,3,4,5,8,12,13],[6,7,9,10,11,14,15,16]]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [5,1,6,2,8,3,4,7] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,5,8,11,12],[6,7,9,10,13,14,15,16]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [5,1,6,2,3,4,7,8] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,8,13,15],[6,7,9,10,11,12,14,16]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [5,6,1,2,3,7,8,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[1,2,3,4,5,7,12,14],[6,8,9,10,11,13,15,16]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [5,6,1,2,7,3,8,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,7,11,14],[6,8,9,10,12,13,15,16]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [5,6,1,2,7,8,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[1,2,3,4,5,7,11,13],[6,8,9,10,12,14,15,16]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [5,6,1,2,7,3,4,8] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[1,2,3,4,5,7,11,15],[6,8,9,10,12,13,14,16]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [5,6,1,7,2,3,8,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[1,2,3,4,5,7,10,14],[6,8,9,11,12,13,15,16]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [5,6,1,7,2,8,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,7,10,13],[6,8,9,11,12,14,15,16]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [5,6,1,7,8,2,3,4] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,7,10,12],[6,8,9,11,13,14,15,16]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [5,6,1,7,2,3,4,8] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[1,2,3,4,5,7,10,15],[6,8,9,11,12,13,14,16]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [5,6,7,1,2,3,8,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,7,9,14],[6,8,10,11,12,13,15,16]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [5,6,7,1,2,8,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[1,2,3,4,5,7,9,13],[6,8,10,11,12,14,15,16]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [5,6,7,1,8,2,3,4] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,7,9,12],[6,8,10,11,13,14,15,16]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,8,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,9,11],[6,8,10,12,13,14,15,16]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [5,6,7,1,2,3,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [5,6,1,2,3,4,8,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,7,13,14],[6,8,9,10,11,12,15,16]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [5,6,1,2,3,8,4,7] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[1,2,3,4,5,7,12,13],[6,8,9,10,11,14,15,16]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [5,6,1,2,8,3,4,7] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[1,2,3,4,5,7,11,12],[6,8,9,10,13,14,15,16]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [5,6,1,8,2,3,4,7] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[1,2,3,4,5,7,10,11],[6,8,9,12,13,14,15,16]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [5,6,8,1,2,3,4,7] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,9,10],[6,8,11,12,13,14,15,16]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,7,8,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,5,11,12,14],[6,7,8,9,10,13,15,16]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,7,4,8,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[1,2,3,4,5,10,11,14],[6,7,8,9,12,13,15,16]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,7,8,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[1,2,3,4,5,10,11,13],[6,7,8,9,12,14,15,16]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,7,3,4,8,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [[1,2,3,4,5,9,10,14],[6,7,8,11,12,13,15,16]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [5,1,2,7,3,8,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[1,2,3,4,5,9,10,13],[6,7,8,11,12,14,15,16]]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [5,1,2,7,8,3,4,6] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[1,2,3,4,5,9,10,12],[6,7,8,11,13,14,15,16]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [5,1,7,2,3,4,8,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,8,9,14],[6,7,10,11,12,13,15,16]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [5,1,7,2,8,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,8,9,12],[6,7,10,11,13,14,15,16]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [5,1,7,8,2,3,4,6] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,8,9,11],[6,7,10,12,13,14,15,16]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [5,1,7,2,3,4,6,8] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,8,9,15],[6,7,10,11,12,13,14,16]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [5,7,1,2,3,4,8,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,7,8,14],[6,9,10,11,12,13,15,16]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [5,7,1,2,8,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,7,8,12],[6,9,10,11,13,14,15,16]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [5,7,8,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,10],[6,9,11,12,13,14,15,16]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [5,7,1,2,3,4,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [5,1,2,3,4,6,8,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [[1,2,3,4,5,11,13,14],[6,7,8,9,10,12,15,16]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [5,1,2,3,4,8,6,7] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [5,1,2,3,8,4,6,7] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[1,2,3,4,5,10,11,12],[6,7,8,9,13,14,15,16]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [5,1,2,8,3,4,6,7] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,9,10,11],[6,7,8,12,13,14,15,16]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [5,1,8,2,3,4,6,7] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,8,9,10],[6,7,11,12,13,14,15,16]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [5,8,1,2,3,4,6,7] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,9],[6,10,11,12,13,14,15,16]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [5,1,2,3,4,6,7,8] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,5,11,13,15],[6,7,8,9,10,12,14,16]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,2,3,4,6,7,8,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,10,12,14],[2,4,6,8,11,13,15,16]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,2,3,4,6,7,5,8] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,7,9,10,12,15],[2,4,6,8,11,13,14,16]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,2,3,4,6,5,8,7] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,2,3,4,6,8,5,7] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,7,9,10,12,13],[2,4,6,8,11,14,15,16]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,2,3,4,6,5,7,8] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,2,3,6,4,7,8,5] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,5,7,8,9,12,14],[2,4,6,10,11,13,15,16]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,2,3,6,4,7,5,8] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[1,3,5,7,8,9,12,15],[2,4,6,10,11,13,14,16]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,2,3,6,7,4,8,5] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,5,7,8,9,11,14],[2,4,6,10,12,13,15,16]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,2,3,6,7,8,4,5] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,5,7,8,9,11,13],[2,4,6,10,12,14,15,16]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,2,3,6,7,4,5,8] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[1,3,5,7,8,9,11,15],[2,4,6,10,12,13,14,16]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,2,3,6,4,5,8,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,7,8,9,13,14],[2,4,6,10,11,12,15,16]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,2,3,6,4,8,5,7] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[1,3,5,7,8,9,12,13],[2,4,6,10,11,14,15,16]]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,2,3,6,8,4,5,7] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,5,7,8,9,11,12],[2,4,6,10,13,14,15,16]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,2,3,6,4,5,7,8] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,5,7,8,9,13,15],[2,4,6,10,11,12,14,16]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,2,6,3,4,7,8,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[1,3,5,6,7,8,12,14],[2,4,9,10,11,13,15,16]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,2,6,3,4,7,5,8] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[1,3,5,6,7,8,12,15],[2,4,9,10,11,13,14,16]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,2,6,3,7,4,8,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[1,3,5,6,7,8,11,14],[2,4,9,10,12,13,15,16]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,2,6,3,7,8,4,5] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[1,3,5,6,7,8,11,13],[2,4,9,10,12,14,15,16]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,2,6,3,7,4,5,8] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[1,3,5,6,7,8,11,15],[2,4,9,10,12,13,14,16]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,2,6,7,3,4,8,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[1,3,5,6,7,8,10,14],[2,4,9,11,12,13,15,16]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,2,6,7,3,8,4,5] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[1,3,5,6,7,8,10,13],[2,4,9,11,12,14,15,16]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,2,6,7,8,3,4,5] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,3,5,6,7,8,10,12],[2,4,9,11,13,14,15,16]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,2,6,7,3,4,5,8] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[1,3,5,6,7,8,10,15],[2,4,9,11,12,13,14,16]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,2,6,3,4,5,8,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,5,6,7,8,13,14],[2,4,9,10,11,12,15,16]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,2,6,3,4,8,5,7] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[1,3,5,6,7,8,12,13],[2,4,9,10,11,14,15,16]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,2,6,3,8,4,5,7] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[1,3,5,6,7,8,11,12],[2,4,9,10,13,14,15,16]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,2,6,8,3,4,5,7] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[1,3,5,6,7,8,10,11],[2,4,9,12,13,14,15,16]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,2,6,3,4,5,7,8] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[1,3,5,6,7,8,13,15],[2,4,9,10,11,12,14,16]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,6,2,3,4,7,8,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[1,3,4,5,6,7,12,14],[2,8,9,10,11,13,15,16]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,6,2,3,4,7,5,8] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[1,3,4,5,6,7,12,15],[2,8,9,10,11,13,14,16]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,6,2,3,7,4,8,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[1,3,4,5,6,7,11,14],[2,8,9,10,12,13,15,16]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,6,2,3,7,8,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[1,3,4,5,6,7,11,13],[2,8,9,10,12,14,15,16]]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,6,2,3,7,4,5,8] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[1,3,4,5,6,7,11,15],[2,8,9,10,12,13,14,16]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,6,2,7,3,4,8,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[1,3,4,5,6,7,10,14],[2,8,9,11,12,13,15,16]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,6,2,7,3,8,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[1,3,4,5,6,7,10,13],[2,8,9,11,12,14,15,16]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,6,2,7,8,3,4,5] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,7,10,12],[2,8,9,11,13,14,15,16]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,6,2,7,3,4,5,8] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[1,3,4,5,6,7,10,15],[2,8,9,11,12,13,14,16]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,6,7,2,3,4,8,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[1,3,4,5,6,7,9,14],[2,8,10,11,12,13,15,16]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,6,7,2,3,8,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[1,3,4,5,6,7,9,13],[2,8,10,11,12,14,15,16]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,6,7,2,8,3,4,5] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,9,12],[2,8,10,11,13,14,15,16]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,6,7,8,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,6,7,2,3,4,5,8] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,9,15],[2,8,10,11,12,13,14,16]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,6,2,3,4,5,8,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,8,5,7] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[1,3,4,5,6,7,12,13],[2,8,9,10,11,14,15,16]]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,6,2,3,8,4,5,7] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[1,3,4,5,6,7,11,12],[2,8,9,10,13,14,15,16]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,6,2,8,3,4,5,7] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[1,3,4,5,6,7,10,11],[2,8,9,12,13,14,15,16]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,6,8,2,3,4,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,6,2,3,4,5,7,8] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,7,13,15],[2,8,9,10,11,12,14,16]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,7,8,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[1,2,3,4,5,6,12,14],[7,8,9,10,11,13,15,16]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,7,5,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[1,2,3,4,5,6,12,15],[7,8,9,10,11,13,14,16]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [6,1,2,3,7,4,8,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,6,11,14],[7,8,9,10,12,13,15,16]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [6,1,2,3,7,8,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[1,2,3,4,5,6,11,13],[7,8,9,10,12,14,15,16]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [6,1,2,7,3,4,8,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[1,2,3,4,5,6,10,14],[7,8,9,11,12,13,15,16]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [6,1,2,7,3,8,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,6,10,13],[7,8,9,11,12,14,15,16]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [6,1,2,7,8,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,6,10,12],[7,8,9,11,13,14,15,16]]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [6,1,2,7,3,4,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [6,1,7,2,3,4,8,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,9,14],[7,8,10,11,12,13,15,16]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [6,1,7,2,3,8,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,9,13],[7,8,10,11,12,14,15,16]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [6,1,7,2,8,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,9,12],[7,8,10,11,13,14,15,16]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [6,1,7,8,2,3,4,5] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9,11],[7,8,10,12,13,14,15,16]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [6,1,7,2,3,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [6,7,1,2,3,4,8,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,8,14],[7,9,10,11,12,13,15,16]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [6,7,1,2,3,8,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,8,13],[7,9,10,11,12,14,15,16]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [6,7,1,2,8,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,8,12],[7,9,10,11,13,14,15,16]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [6,7,1,8,2,3,4,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,8,11],[7,9,10,12,13,14,15,16]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [6,7,8,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,10],[7,9,11,12,13,14,15,16]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [6,7,1,2,3,4,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,8,5,7] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[1,2,3,4,5,6,12,13],[7,8,9,10,11,14,15,16]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [6,1,2,3,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[1,2,3,4,5,6,11,12],[7,8,9,10,13,14,15,16]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [6,1,2,8,3,4,5,7] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[1,2,3,4,5,6,10,11],[7,8,9,12,13,14,15,16]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [6,1,8,2,3,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,9,10],[7,8,11,12,13,14,15,16]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [6,8,1,2,3,4,5,7] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,9],[7,10,11,12,13,14,15,16]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [6,1,2,3,4,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,6,13,15],[7,8,9,10,11,12,14,16]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,2,3,4,5,7,8,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,12,14],[2,4,6,8,10,13,15,16]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,2,3,4,5,7,6,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,2,3,4,7,5,8,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,9,10,11,14],[2,4,6,8,12,13,15,16]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,2,3,4,7,8,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,7,9,10,11,13],[2,4,6,8,12,14,15,16]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,2,3,4,7,5,6,8] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,9,10,11,15],[2,4,6,8,12,13,14,16]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,2,3,7,4,5,8,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,5,7,8,9,10,14],[2,4,6,11,12,13,15,16]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,2,3,7,4,8,5,6] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[1,3,5,7,8,9,10,13],[2,4,6,11,12,14,15,16]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,2,3,7,8,4,5,6] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,5,7,8,9,10,12],[2,4,6,11,13,14,15,16]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,2,3,7,4,5,6,8] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,5,7,8,9,10,15],[2,4,6,11,12,13,14,16]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,2,7,3,4,5,8,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[1,3,5,6,7,8,9,14],[2,4,10,11,12,13,15,16]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,2,7,3,4,8,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[1,3,5,6,7,8,9,13],[2,4,10,11,12,14,15,16]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,2,7,3,8,4,5,6] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,3,5,6,7,8,9,12],[2,4,10,11,13,14,15,16]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,2,7,8,3,4,5,6] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,3,5,6,7,8,9,11],[2,4,10,12,13,14,15,16]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,2,7,3,4,5,6,8] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,5,6,7,8,9,15],[2,4,10,11,12,13,14,16]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,7,2,3,4,5,8,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[1,3,4,5,6,7,8,14],[2,9,10,11,12,13,15,16]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,7,2,3,4,8,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[1,3,4,5,6,7,8,13],[2,9,10,11,12,14,15,16]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,7,2,3,8,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,7,2,8,3,4,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,7,8,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,7,2,3,4,5,6,8] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,8,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,14],[8,9,10,11,12,13,15,16]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [7,1,2,3,4,8,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,7,13],[8,9,10,11,12,14,15,16]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [7,1,2,3,8,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,7,12],[8,9,10,11,13,14,15,16]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [7,1,2,8,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,7,11],[8,9,10,12,13,14,15,16]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [7,1,8,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,10],[8,9,11,12,13,14,15,16]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [7,8,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9],[8,10,11,12,13,14,15,16]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [7,1,2,3,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,2,3,4,5,6,8,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,2,3,4,5,8,6,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,2,3,4,8,5,6,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,2,3,8,4,5,6,7] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,8,9,10,11],[2,4,6,12,13,14,15,16]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,2,8,3,4,5,6,7] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,8,2,3,4,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8],[9,10,11,12,13,14,15,16]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,2,3,4,5,6,7,9,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,2,3,4,5,6,7,8,10,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,9,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,16],[9,10,11,12,13,14,15,17,18]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,9,1,3,4,5,6,7,8] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,10],[3,11,12,13,14,15,16,17,18]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9,10] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,2,3,4,5,6,7,8,9,11,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,17,19,20],[2,4,6,8,10,12,14,16,18,21,22]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,10,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,9,18],[10,11,12,13,14,15,16,17,19,20]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,8,2,3,4,5,6,9,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[1,3,4,5,6,7,8,9,16],[2,10,11,12,13,14,15,17,18]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,9,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,1,9,3,4,5,6,7,8] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,8,1,3,4,5,6,7,9] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,2,4,5,6,7,8,9,17],[3,10,11,12,13,14,15,16,18]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,10,1,3,4,5,6,7,8,9] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,10,11],[3,12,13,14,15,16,17,18,19,20]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9,10,11] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1,2,3,4,5,6,7,8,11,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,9,10,20],[11,12,13,14,15,16,17,18,19,21,22]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7,10,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [7,8,1,2,3,4,5,9,6] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,9,16],[8,10,11,12,13,14,15,17,18]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,8,9,1,3,4,5,6,7] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,11],[3,10,12,13,14,15,16,17,18]]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [2,1,10,3,4,5,6,7,8,9] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [2,11,1,3,4,5,6,7,8,9,10] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,10,11,12],[3,13,14,15,16,17,18,19,20,21,22]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1,2,3,4,5,6,7,8,9,12,10] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,9,10,11,22],[12,13,14,15,16,17,18,19,20,21,23,24]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [8,9,1,2,3,4,5,6,10,7] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,10,18],[9,11,12,13,14,15,16,17,19,20]]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [2,9,10,1,3,4,5,6,7,8] => [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,10,12],[3,11,13,14,15,16,17,18,19,20]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [2,12,1,3,4,5,6,7,8,9,10,11] => [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,10,11,12,13],[3,14,15,16,17,18,19,20,21,22,23,24]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [1,2,3,4,8,5,6,9,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,5,7,9,10,11,12,16],[2,4,6,8,13,14,15,17,18]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [2,1,3,4,5,9,6,7,8] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,5,7,9,11,12,13,14],[3,4,6,8,10,15,16,17,18]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [2,8,1,3,9,4,5,6,7] => [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,13],[3,10,11,12,14,15,16,17,18]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [2,1,8,9,3,4,5,6,7] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,12],[3,4,11,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,2,3,4,5,8,6,9,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,9,11,12,13,16],[2,4,6,8,10,14,15,17,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [6,7,8,1,2,3,4,9,5] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,8,10,16],[7,9,11,12,13,14,15,17,18]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [3,1,2,4,5,6,7,9,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,3,7,9,11,13,15,16],[4,5,6,8,10,12,14,17,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,2,3,4,5,6,8,7,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [2,1,3,4,5,6,9,7,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,11,13,14,15],[3,4,6,8,10,12,16,17,18]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [2,7,8,9,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,10,12],[3,9,11,13,14,15,16,17,18]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,2,4,5,6,7,8,9] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,4,1,3,5,6,7,8,9] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,5,9,11,13,15,17],[3,6,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,2,3,4,5,6,8,9,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [7,1,2,3,4,8,5,9,6] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,6,7,13,16],[8,9,10,11,12,14,15,17,18]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,9,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [7,1,2,3,4,5,8,6,9] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [[1,2,3,4,5,6,7,14,17],[8,9,10,11,12,13,15,16,18]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [2,8,9,10,1,3,4,5,6,7] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,11,13],[3,10,12,14,15,16,17,18,19,20]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,3,9,2,4,5,6,7,8] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,6,7,8,9,10,11],[2,5,12,13,14,15,16,17,18]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8,9] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [1,2,3,4,5,6,9,7,10,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,9,11,13,14,15,18],[2,4,6,8,10,12,16,17,19,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,2,3,4,5,6,7,9,8,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,11,13,15,16,19],[2,4,6,8,10,12,14,17,18,20]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,8,9,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [[1,2,3,4,5,6,7,14,16],[8,9,10,11,12,13,15,17,18]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [2,8,1,3,4,5,6,9,7] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[1,2,4,5,6,7,8,9,16],[3,10,11,12,13,14,15,17,18]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [2,1,3,4,5,6,7,10,8,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,11,13,15,16,17],[3,4,6,8,10,12,14,18,19,20]]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,3,9,1,4,5,6,7,8] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,4,6,7,8,9,10,11],[3,5,12,13,14,15,16,17,18]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,3,2,4,5,6,7,8,9,10] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,4,1,3,5,6,7,8,9,10] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,5,9,11,13,15,17,19],[3,6,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,2,3,4,5,6,7,9,10,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,13,15,16,18],[2,4,6,8,10,12,14,17,19,20]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [8,1,2,3,4,5,9,6,10,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,15,18],[9,10,11,12,13,14,16,17,19,20]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,8,10,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [2,1,7,8,9,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,2,5,6,7,8,9,11,13],[3,4,10,12,14,15,16,17,18]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8,9,10] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,7,9,11,13,15,17,19],[3,5,6,8,10,12,14,16,18,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,7,8,9,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9,11,13,15],[4,6,8,10,12,14,16,17,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,6,7,8,1,2,9] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,9,11,13,17],[4,6,8,10,12,14,15,16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [3,4,5,6,7,1,9,2,8] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,5,7,9,11,14,15],[4,6,8,10,12,13,16,17,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,6,7,9,1,2,8] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,9,11,13,14],[4,6,8,10,12,15,16,17,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,6,7,1,2,8,9] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,7,9,11,15,17],[4,6,8,10,12,13,14,16,18]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [3,4,5,6,8,1,9,2,7] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[1,2,3,5,7,9,11,12,15],[4,6,8,10,13,14,16,17,18]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [3,4,5,6,8,9,1,2,7] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,7,9,11,12,14],[4,6,8,10,13,15,16,17,18]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,5,6,8,1,2,7,9] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[1,2,3,5,7,9,11,12,17],[4,6,8,10,13,14,15,16,18]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,5,6,1,2,9,7,8] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,5,7,9,13,14,15],[4,6,8,10,11,12,16,17,18]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,5,6,9,1,2,7,8] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,7,9,11,12,13],[4,6,8,10,14,15,16,17,18]]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,1,2,7,8,9] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,5,7,9,13,15,17],[4,6,8,10,11,12,14,16,18]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,7,8,9,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,5,7,9,10,12,14],[4,6,8,11,13,15,16,17,18]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,4,5,8,9,1,2,6,7] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,5,7,9,10,11,13],[4,6,8,12,14,15,16,17,18]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,4,7,8,9,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,5,7,8,9,11,13],[4,6,10,12,14,15,16,17,18]]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,1,2,5,6,7,8,9] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,5,9,11,13,15,17],[4,6,7,8,10,12,14,16,18]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,5,6,7,8,9,2,4] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,6,7,9,11,13,15],[4,5,8,10,12,14,16,17,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,9,6,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,2,3,6,7,10,11,14,15],[4,5,8,9,12,13,16,17,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,7,4,6,8,9] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[1,2,3,6,7,10,11,15,17],[4,5,8,9,12,13,14,16,18]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,5,6,7,8,9,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,5,6,8,10,12,14],[4,7,9,11,13,15,16,17,18]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [3,6,7,8,9,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,5,6,7,9,11,13],[4,8,10,12,14,15,16,17,18]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [3,1,2,4,5,6,9,7,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,3,7,9,11,13,14,15],[4,5,6,8,10,12,16,17,18]]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [3,1,9,2,4,5,6,7,8] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,6,7,8,9,10,11],[4,5,12,13,14,15,16,17,18]]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,9,1,2,4,5,6,7,8] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,5,6,7,8,9,10],[4,11,12,13,14,15,16,17,18]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13,15,17],[4,5,6,8,10,12,14,16,18]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,5,6,7,8,9,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9,11,13,15],[2,6,8,10,12,14,16,17,18]]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,4,2,3,5,6,7,8,9] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13,15,17],[2,6,7,8,10,12,14,16,18]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,1,5,6,7,8,9,2,3] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,7,9,11,13,15],[5,6,8,10,12,14,16,17,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [4,5,6,7,8,1,9,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,6,8,10,12,15],[5,7,9,11,13,14,16,17,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [4,5,6,7,8,9,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8,10,12,14],[5,7,9,11,13,15,16,17,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,7,8,1,2,3,9] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,8,10,12,17],[5,7,9,11,13,14,15,16,18]]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [4,5,6,1,2,3,7,8,9] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,6,8,13,15,17],[5,7,9,10,11,12,14,16,18]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,6,7,8,9,1,2,3,5] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,6,7,9,11,13],[5,8,10,12,14,15,16,17,18]]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,6,7,8,1,2,3,5,9] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,6,7,9,11,17],[5,8,10,12,13,14,15,16,18]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [4,1,2,3,5,9,6,7,8] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,11,12,13,14],[5,6,7,8,10,15,16,17,18]]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [4,9,1,2,3,5,6,7,8] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,6,7,8,9,10],[5,11,12,13,14,15,16,17,18]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,1,2,3,5,6,7,8,9] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,9,11,13,15,17],[5,6,7,8,10,12,14,16,18]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,9,6,8] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,3,5,6,7,10,11,14,15],[2,4,8,9,12,13,16,17,18]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,5,6,7,8,9,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10,12,14],[2,7,9,11,13,15,16,17,18]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,5,7,8,9,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,8,9,11,13],[2,7,10,12,14,15,16,17,18]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [5,6,1,7,8,9,2,3,4] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,7,10,12,14],[6,8,9,11,13,15,16,17,18]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [5,6,7,1,8,2,3,4,9] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [[1,2,3,4,5,7,9,12,17],[6,8,10,11,13,14,15,16,18]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [5,6,7,8,1,9,2,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,7,9,11,14],[6,8,10,12,13,15,16,17,18]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,8,9,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,9,11,13],[6,8,10,12,14,15,16,17,18]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [5,6,7,8,1,2,3,4,9] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,9,11,17],[6,8,10,12,13,14,15,16,18]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,7,8,9,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,10,12],[6,9,11,13,14,15,16,17,18]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [5,8,9,1,2,3,4,6,7] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,9,11],[6,10,12,13,14,15,16,17,18]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [5,1,2,3,9,4,6,7,8] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,10,11,12,13],[6,7,8,9,14,15,16,17,18]]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [5,9,1,2,3,4,6,7,8] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,9,10],[6,11,12,13,14,15,16,17,18]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [5,1,2,3,4,6,7,8,9] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,5,11,13,15,17],[6,7,8,9,10,12,14,16,18]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [1,6,7,8,2,9,3,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,9,11,14],[2,8,10,12,13,15,16,17,18]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,6,7,8,9,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,9,11,13],[2,8,10,12,14,15,16,17,18]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [6,1,7,2,8,3,9,4,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,6,9,12,15],[7,8,10,11,13,14,16,17,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [6,7,8,1,9,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,8,10,13],[7,9,11,12,14,15,16,17,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,7,8,9,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,10,12],[7,9,11,13,14,15,16,17,18]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [6,7,8,1,2,3,4,5,9] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,8,10,17],[7,9,11,12,13,14,15,16,18]]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [6,7,9,1,2,3,4,5,8] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,10,11],[7,9,12,13,14,15,16,17,18]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [6,8,9,1,2,3,4,5,7] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,9,11],[7,10,12,13,14,15,16,17,18]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [6,1,2,3,4,9,5,7,8] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,12,13,14],[7,8,9,10,11,15,16,17,18]]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [6,1,2,9,3,4,5,7,8] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,10,11,12],[7,8,9,13,14,15,16,17,18]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [6,1,2,3,4,5,7,8,9] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,5,6,13,15,17],[7,8,9,10,11,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,2,3,4,7,8,5,6,9] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[1,3,5,7,9,10,11,13,17],[2,4,6,8,12,14,15,16,18]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,2,3,4,7,9,5,6,8] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,5,7,9,10,11,13,14],[2,4,6,8,12,15,16,17,18]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,7,8,9,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10,12],[2,9,11,13,14,15,16,17,18]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,7,2,3,4,5,6,8,9] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,7,8,15,17],[2,9,10,11,12,13,14,16,18]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [7,1,8,2,3,9,4,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,7,10,14],[8,9,11,12,13,15,16,17,18]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [7,1,8,2,9,3,4,5,6] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,7,10,13],[8,9,11,12,14,15,16,17,18]]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [7,1,8,9,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,10,12],[8,9,11,13,14,15,16,17,18]]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [7,8,1,9,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,12],[8,10,11,13,14,15,16,17,18]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [7,8,9,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,11],[8,10,12,13,14,15,16,17,18]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [7,1,2,3,4,5,9,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [[1,2,3,4,5,6,7,14,15],[8,9,10,11,12,13,16,17,18]]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [7,1,9,2,3,4,5,6,8] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,10,11],[8,9,12,13,14,15,16,17,18]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [7,9,1,2,3,4,5,6,8] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,10],[8,11,12,13,14,15,16,17,18]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [7,1,2,3,4,5,6,8,9] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,6,7,15,17],[8,9,10,11,12,13,14,16,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,2,3,4,5,8,9,6,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,7,9,11,12,13,15],[2,4,6,8,10,14,16,17,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,2,3,4,8,5,9,6,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[1,3,5,7,9,10,11,12,15],[2,4,6,8,13,14,16,17,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,2,3,4,8,9,5,6,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,5,7,9,10,11,12,14],[2,4,6,8,13,15,16,17,18]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,8,2,3,4,5,9,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[1,3,4,5,6,7,8,9,15],[2,10,11,12,13,14,16,17,18]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,8,9,2,3,4,5,6,7] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,8,2,3,4,5,6,7,9] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [8,1,2,3,4,5,9,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,7,8,15],[9,10,11,12,13,14,16,17,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [8,1,2,3,4,9,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,7,8,14],[9,10,11,12,13,15,16,17,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [8,1,2,3,9,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,13],[9,10,11,12,14,15,16,17,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [8,1,2,9,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,12],[9,10,11,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [8,1,9,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,11],[9,10,12,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [8,9,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,10],[9,11,12,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [8,1,2,3,4,5,6,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,2,3,4,5,6,9,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,2,3,4,5,9,6,7,8] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,11,12,13,14],[2,4,6,8,10,15,16,17,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,2,3,4,9,5,6,7,8] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,9,10,11,12,13],[2,4,6,8,14,15,16,17,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,2,3,9,4,5,6,7,8] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,7,8,9,10,11,12],[2,4,6,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,2,9,3,4,5,6,7,8] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,9,2,3,4,5,6,7,8] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [9,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9],[10,11,12,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,8,9,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14,16],[3,5,7,9,11,13,15,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,7,8,1,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,10,12,14,17],[3,5,7,9,11,13,15,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,6,7,9,1,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,10,12,14,15],[3,5,7,9,11,13,16,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,5,6,8,9,1,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,8,10,12,13,15],[3,5,7,9,11,14,16,17,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,7,8,9,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,6,8,10,11,13,15],[3,5,7,9,12,14,16,17,18]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,6,7,8,9,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,6,8,9,11,13,15],[3,5,7,10,12,14,16,17,18]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,5,6,7,8,9,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,6,7,9,11,13,15],[3,5,8,10,12,14,16,17,18]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,4,5,6,7,8,9,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9,11,13,15],[3,6,8,10,12,14,16,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,8,9,10,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14,16,18],[3,5,7,9,11,13,15,17,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,7,8,9,1,10] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,10,12,14,16,19],[3,5,7,9,11,13,15,17,18,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,5,6,7,1,8,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,8,10,12,15,17],[3,5,7,9,11,13,14,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,6,7,8,10,1,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,10,12,14,16,17],[3,5,7,9,11,13,15,18,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,4,5,6,1,9,7,8] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,6,8,10,13,14,15],[3,5,7,9,11,12,16,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,5,6,7,9,10,1,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,8,10,12,14,15,17],[3,5,7,9,11,13,16,18,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,8,9,10,1,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,6,8,10,12,13,15,17],[3,5,7,9,11,14,16,18,19,20]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,4,1,7,8,9,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[1,2,4,6,9,10,11,13,15],[3,5,7,8,12,14,16,17,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,7,8,9,10,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,6,8,10,11,13,15,17],[3,5,7,9,12,14,16,18,19,20]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,6,7,8,9,10,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,6,8,9,11,13,15,17],[3,5,7,10,12,14,16,18,19,20]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,5,6,7,8,9,3,4] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,5,6,7,9,11,13,15],[3,4,8,10,12,14,16,17,18]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,5,6,7,8,9,10,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,6,7,9,11,13,15,17],[3,5,8,10,12,14,16,18,19,20]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,4,5,6,7,8,9,10,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9,11,13,15,17],[3,6,8,10,12,14,16,18,19,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,7,8,9,10,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9,11,13,15,17],[4,6,8,10,12,14,16,18,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,8,9,10,11,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14,16,18,20],[3,5,7,9,11,13,15,17,19,21,22]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,7,8,9,10,1,11] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,10,12,14,16,18,21],[3,5,7,9,11,13,15,17,19,20,22]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,5,6,7,8,1,9,10] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,8,10,12,14,17,19],[3,5,7,9,11,13,15,16,18,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,6,7,8,9,11,1,10] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,10,12,14,16,18,19],[3,5,7,9,11,13,15,17,20,21,22]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,4,5,6,9,1,7,8] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,8,10,12,13,14],[3,5,7,9,11,15,16,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,10,11,1,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,8,10,12,14,16,17,19],[3,5,7,9,11,13,15,18,20,21,22]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,6,1,7,8,9] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,6,8,10,13,15,17],[3,5,7,9,11,12,14,16,18]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,5,6,7,8,9,10,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9,11,13,15,17],[2,6,8,10,12,14,16,18,19,20]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,4,5,6,7,8,9,10,11,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9,11,13,15,17,19],[3,6,8,10,12,14,16,18,20,21,22]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,7,8,9,10,11,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9,11,13,15,17,19],[4,6,8,10,12,14,16,18,20,21,22]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,4,5,6,7,10,1,8,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,8,10,12,14,15,16],[3,5,7,9,11,13,17,18,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,6,7,1,8,9,10] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,6,8,10,12,15,17,19],[3,5,7,9,11,13,14,16,18,20]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,3,6,7,1,8,9,4,5] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[1,2,4,6,7,8,10,13,15],[3,5,9,11,12,14,16,17,18]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,4,5,9,1,6,7,8] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,4,6,8,10,11,12,13],[3,5,7,9,14,15,16,17,18]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6,7,8,9] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,8,11,13,15,17],[3,5,7,9,10,12,14,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,4,5,6,10,1,7,8,9] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,4,6,8,10,12,13,14,15],[3,5,7,9,11,16,17,18,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1,7,8,9,10] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,8,10,13,15,17,19],[3,5,7,9,11,12,14,16,18,20]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [2,5,6,7,8,1,9,3,4] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,4,5,6,8,10,12,15],[3,7,9,11,13,14,16,17,18]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,5,6,7,8,9,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,6,8,10,12,14],[3,7,9,11,13,15,16,17,18]]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,3,4,9,1,5,6,7,8] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,6,8,9,10,11,12],[3,5,7,13,14,15,16,17,18]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,1,5,6,7,8,9] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,9,11,13,15,17],[3,5,7,8,10,12,14,16,18]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,6,7,8,9,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,4,5,6,7,9,11,13],[3,8,10,12,14,15,16,17,18]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,3,4,5,10,1,6,7,8,9] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,6,8,10,11,12,13,14],[3,5,7,9,15,16,17,18,19,20]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,1,6,7,8,9,10] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,8,11,13,15,17,19],[3,5,7,9,10,12,14,16,18,20]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,5,6,7,8,9,10,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,6,8,10,12,14,16],[3,7,9,11,13,15,17,18,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,3,4,5,6,11,1,7,8,9,10] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,6,8,10,12,13,14,15,16],[3,5,7,9,11,17,18,19,20,21,22]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [4,5,6,7,8,9,1,10,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,6,8,10,12,14,17],[5,7,9,11,13,15,16,18,19,20]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,6,7,8,9,10,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,4,5,6,7,9,11,13,15],[3,8,10,12,14,16,17,18,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,6,7,1,9,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,8,10,12,15,16],[3,5,7,9,11,13,14,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,4,5,6,1,8,9,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[1,2,4,6,8,10,13,14,16],[3,5,7,9,11,12,15,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7,9] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,6,8,10,13,14,17],[3,5,7,9,11,12,15,16,18]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,7,8,9,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,4,6,8,11,12,14,16],[3,5,7,9,10,13,15,17,18]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,3,4,5,1,7,6,9,8] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,6,8,11,12,15,16],[3,5,7,9,10,13,14,17,18]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,3,4,5,1,7,6,8,9] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,4,6,8,11,12,15,17],[3,5,7,9,10,13,14,16,18]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,4,5,1,6,7,9,8] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,4,6,8,11,13,15,16],[3,5,7,9,10,12,14,17,18]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,1,6,7,8,9,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,9,10,12,14,16],[3,5,7,8,11,13,15,17,18]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,8,7,9] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,4,6,9,10,13,14,17],[3,5,7,8,11,12,15,16,18]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,5,6,7,8,9,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,7,8,10,12,14,16],[3,5,6,9,11,13,15,17,18]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6,9,8] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,7,8,11,12,15,16],[3,5,6,9,10,13,14,17,18]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,3,1,4,6,5,8,7,9] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,4,7,9,10,13,14,17],[3,5,6,8,11,12,15,16,18]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,3,1,4,5,6,8,9,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,4,7,9,11,13,14,16],[3,5,6,8,10,12,15,17,18]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,3,1,4,5,6,7,9,8] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,4,7,9,11,13,15,16],[3,5,6,8,10,12,14,17,18]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,5,6,7,8,9,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,5,6,8,10,12,14,16],[3,4,7,9,11,13,15,17,18]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,4,5,6,7,8,3,9] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,5,6,8,10,12,14,17],[3,4,7,9,11,13,15,16,18]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,4,5,3,6,7,8,9] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,5,6,8,11,13,15,17],[3,4,7,9,10,12,14,16,18]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,7,8,9,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,5,6,9,10,12,14,16],[3,4,7,8,11,13,15,17,18]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13,14,17],[3,4,7,8,11,12,15,16,18]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,6,5,7,8,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[1,2,5,6,9,10,13,15,17],[3,4,7,8,11,12,14,16,18]]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,4,3,5,6,7,8,9] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,6,9,11,13,15,17],[3,4,7,8,10,12,14,16,18]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,5,6,7,8,9,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,5,7,8,10,12,14,16],[3,4,6,9,11,13,15,17,18]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [2,1,3,4,5,6,8,9,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,9,11,13,14,16],[3,4,6,8,10,12,15,17,18]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [2,1,3,4,5,6,8,7,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,8,9,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14,16],[2,5,7,9,11,13,15,17,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,3,4,5,6,7,8,2,9] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,3,4,6,8,10,12,14,17],[2,5,7,9,11,13,15,16,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,3,4,5,6,7,2,9,8] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,3,4,6,8,10,12,15,16],[2,5,7,9,11,13,14,17,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,6,7,2,8,9] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,3,4,6,8,10,12,15,17],[2,5,7,9,11,13,14,16,18]]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,3,4,5,2,6,7,8,9] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,6,8,11,13,15,17],[2,5,7,9,10,12,14,16,18]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,4,2,6,5,8,7,9] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,6,9,10,13,14,17],[2,5,7,8,11,12,15,16,18]]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,3,4,2,5,6,7,8,9] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,6,9,11,13,15,17],[2,5,7,8,10,12,14,16,18]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,9,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12,15,16],[2,5,6,9,10,13,14,17,18]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,5,4,6,7,8,9] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,3,2,4,5,6,8,9,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,4,7,9,11,13,14,16],[2,5,6,8,10,12,15,17,18]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,3,2,4,5,6,7,9,8] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,8,9,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12,14,16],[2,4,7,9,11,13,15,17,18]]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,4,5,3,6,7,8,9] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,5,6,8,11,13,15,17],[2,4,7,9,10,12,14,16,18]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,8,7,9] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,6,9,10,13,14,17],[2,4,7,8,11,12,15,16,18]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,3,5,7,8,9,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,9,11,12,14,16],[2,4,7,8,10,13,15,17,18]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,4,3,5,6,7,8,9] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,5,6,7,8,9,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12,14,16],[2,4,6,9,11,13,15,17,18]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,9,8] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,8,11,12,15,16],[2,4,6,9,10,13,14,17,18]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,3,5,4,6,7,8,9] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,2,3,4,6,7,8,9,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,9,10,12,14,16],[2,4,6,8,11,13,15,17,18]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,2,3,4,6,5,7,8,9] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,2,3,4,5,7,8,9,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,2,3,4,5,7,8,6,9] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,7,9,11,12,14,17],[2,4,6,8,10,13,15,16,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,9,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,2,3,4,5,7,6,8,9] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,6,7,8,1,10,9] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,8,10,12,14,17,18],[3,5,7,9,11,13,15,16,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,4,5,6,7,1,9,10,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[1,2,4,6,8,10,12,15,16,18],[3,5,7,9,11,13,14,17,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,4,5,6,7,1,9,8,10] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,6,8,10,12,15,16,19],[3,5,7,9,11,13,14,17,18,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,3,4,5,6,1,8,9,10,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,13,14,16,18],[3,5,7,9,11,12,15,17,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,3,4,5,6,1,8,7,10,9] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,6,8,10,13,14,17,18],[3,5,7,9,11,12,15,16,19,20]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6,9,8,10] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,4,6,8,11,12,15,16,19],[3,5,7,9,10,13,14,17,18,20]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,3,4,1,6,5,8,9,10,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,4,6,9,10,13,14,16,18],[3,5,7,8,11,12,15,17,19,20]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,8,7,10,9] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,6,9,10,13,14,17,18],[3,5,7,8,11,12,15,16,19,20]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,1,5,6,7,8,9,10] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,9,11,13,15,17,19],[3,5,7,8,10,12,14,16,18,20]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6,9,8,10] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,4,7,8,11,12,15,16,19],[3,5,6,9,10,13,14,17,18,20]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,5,6,7,8,9,10,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,5,6,8,10,12,14,16,18],[3,4,7,9,11,13,15,17,19,20]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,7,8,9,10,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,5,6,9,10,12,14,16,18],[3,4,7,8,11,13,15,17,19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,6,5,8,9,10,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,5,6,9,10,13,14,16,18],[3,4,7,8,11,12,15,17,19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,8,7,10,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10,13,14,17,18],[3,4,7,8,11,12,15,16,19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,6,5,8,7,9,10] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,10,13,14,17,19],[3,4,7,8,11,12,15,16,18,20]]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,4,3,5,6,7,8,9,10] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,6,9,11,13,15,17,19],[3,4,7,8,10,12,14,16,18,20]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,7,8,9,10,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,5,7,9,11,12,14,16,18],[3,4,6,8,10,13,15,17,19,20]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [2,1,3,4,5,6,7,9,10,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,9,11,13,15,16,18],[3,4,6,8,10,12,14,17,19,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,8,9,10,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14,16,18],[2,5,7,9,11,13,15,17,19,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,3,4,5,6,7,8,9,2,10] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,3,4,6,8,10,12,14,16,19],[2,5,7,9,11,13,15,17,18,20]]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,4,2,5,6,7,8,9,10] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,6,9,11,13,15,17,19],[2,5,7,8,10,12,14,16,18,20]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,7,6,9,10,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[1,3,4,7,8,11,12,15,16,18],[2,5,6,9,10,13,14,17,19,20]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6,9,8,10] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11,12,15,16,19],[2,5,6,9,10,13,14,17,18,20]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,8,9,10,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12,14,16,18],[2,4,7,9,11,13,15,17,19,20]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,8,7,10,9] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10,13,14,17,18],[2,4,7,8,11,12,15,16,19,20]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,4,3,5,6,7,8,9,10] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,5,6,7,8,9,10,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12,14,16,18],[2,4,6,9,11,13,15,17,19,20]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6,9,8,10] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,7,8,11,12,15,16,19],[2,4,6,9,10,13,14,17,18,20]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,5,4,6,7,8,9,10] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,6,7,8,9,10,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,9,10,12,14,16,18],[2,4,6,8,11,13,15,17,19,20]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,4,6,5,8,7,10,9] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,13,14,17,18],[2,4,6,8,11,12,15,16,19,20]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,6,5,7,8,9,10] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,7,8,9,10,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,12,14,16,18],[2,4,6,8,10,13,15,17,19,20]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,8,9,6,10] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,5,7,9,11,12,14,16,19],[2,4,6,8,10,13,15,17,18,20]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,7,8,6,9,10] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,5,7,9,11,12,14,17,19],[2,4,6,8,10,13,15,16,18,20]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,2,3,4,5,7,6,8,9,10] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,2,3,4,5,6,8,9,10,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,13,14,16,18],[2,4,6,8,10,12,15,17,19,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [1,2,3,4,5,6,8,9,7,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,7,9,11,13,14,16,19],[2,4,6,8,10,12,15,17,18,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,2,3,4,5,6,8,7,10,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,13,14,17,18],[2,4,6,8,10,12,15,16,19,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,2,3,4,5,6,8,7,9,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,8,9,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12,14,16],[4,5,7,9,11,13,15,17,18]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,4,1,5,6,7,8,9,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,8,10,12,14,16],[4,6,7,9,11,13,15,17,18]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,4,5,1,6,7,8,9,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,7,10,12,14,16],[4,6,8,9,11,13,15,17,18]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,4,5,6,1,7,8,9,2] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,5,7,9,12,14,16],[4,6,8,10,11,13,15,17,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,4,5,6,7,1,8,9,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,7,9,11,14,16],[4,6,8,10,12,13,15,17,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,6,7,8,1,9,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,9,11,13,16],[4,6,8,10,12,14,15,17,18]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,8,9,10,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12,14,16,18],[4,5,7,9,11,13,15,17,19,20]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,2,5,6,7,8,9,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,7,8,10,12,14,16],[4,5,6,9,11,13,15,17,18]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,4,1,5,6,7,8,9,10,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,8,10,12,14,16,18],[4,6,7,9,11,13,15,17,19,20]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,6,7,8,9,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,9,10,12,14,16],[4,6,7,8,11,13,15,17,18]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,4,5,1,6,7,8,9,10,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,7,10,12,14,16,18],[4,6,8,9,11,13,15,17,19,20]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,4,5,6,1,7,8,9,10,2] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,7,9,12,14,16,18],[4,6,8,10,11,13,15,17,19,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,4,5,6,7,1,8,9,10,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,5,7,9,11,14,16,18],[4,6,8,10,12,13,15,17,19,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,4,5,6,7,1,2,9,8] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,7,9,11,15,16],[4,6,8,10,12,13,14,17,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,4,5,6,7,8,1,9,10,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,7,9,11,13,16,18],[4,6,8,10,12,14,15,17,19,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,6,7,8,9,1,10,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,9,11,13,15,18],[4,6,8,10,12,14,16,17,19,20]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [6,7,8,9,1,2,3,4,5,10] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,8,10,12,19],[7,9,11,13,14,15,16,17,18,20]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,7,8,9,10,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10,12,14],[2,9,11,13,15,16,17,18,19,20]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [6,7,8,9,10,1,2,3,4,5,11] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,8,10,12,14,21],[7,9,11,13,15,16,17,18,19,20,22]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [5,6,7,8,9,1,2,3,4,10] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,9,11,13,19],[6,8,10,12,14,15,16,17,18,20]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,6,7,8,9,10,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,9,11,13,15],[2,8,10,12,14,16,17,18,19,20]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,7,8,9,10,11,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10,12,14,16],[2,9,11,13,15,17,18,19,20,21,22]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,8,9,10,11,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14,16,18,20],[2,5,7,9,11,13,15,17,19,21,22]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,3,4,5,6,7,9,2,8] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,10,12,14,15],[2,5,7,9,11,13,16,17,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,6,7,8,9,1,2,10] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,9,11,13,15,19],[4,6,8,10,12,14,16,17,18,20]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [9,1,2,3,4,5,6,7,8,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,10,2,3,4,5,6,7,8,9] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [10,1,2,3,4,5,6,7,8,9,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [1,11,2,3,4,5,6,7,8,9,10] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,3,4,5,6,7,8,10,2,9] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,10,12,14,16,17],[2,5,7,9,11,13,15,18,19,20]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,1,4,5,6,7,9,2,8] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,3,6,8,10,12,14,15],[4,5,7,9,11,13,16,17,18]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,4,5,6,7,9,3,8] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,5,6,8,10,12,14,15],[3,4,7,9,11,13,16,17,18]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,4,5,6,7,8,2,9] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,6,8,10,12,14,17],[4,5,7,9,11,13,15,16,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [4,5,6,7,8,1,2,9,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,8,10,12,16],[5,7,9,11,13,14,15,17,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [4,5,6,7,1,2,8,9,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,6,8,10,14,16],[5,7,9,11,12,13,15,17,18]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [4,5,6,1,2,7,8,9,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,6,8,12,14,16],[5,7,9,10,11,13,15,17,18]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,5,1,2,6,7,8,9,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,6,10,12,14,16],[5,7,8,9,11,13,15,17,18]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,2,5,6,7,8,9,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,8,10,12,14,16],[5,6,7,9,11,13,15,17,18]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9,10] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13,15,17,19],[4,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,2,3,4,5,6,7,10,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,15,16,17],[2,4,6,8,10,12,14,18,19,20]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [1,2,3,4,5,6,7,8,11,9,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,15,17,18,19],[2,4,6,8,10,12,14,16,20,21,22]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [9,1,2,3,4,5,6,10,7,8] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,7,8,9,17],[10,11,12,13,14,15,16,18,19,20]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [1,2,3,4,7,5,8,9,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,5,7,9,10,11,14,16],[2,4,6,8,12,13,15,17,18]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [1,2,3,6,4,7,8,9,5] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,9,12,14,16],[2,4,6,10,11,13,15,17,18]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,5,3,6,7,8,9,4] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,7,10,12,14,16],[2,4,8,9,11,13,15,17,18]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,4,2,5,6,7,8,9,3] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,5,8,10,12,14,16],[2,6,7,9,11,13,15,17,18]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [10,1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,10],[11,12,13,14,15,16,17,18,19,20]]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [8,1,2,3,4,5,6,7,9,10] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,6,7,8,17,19],[9,10,11,12,13,14,15,16,18,20]]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [7,1,2,3,4,5,6,8,9,10] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,5,6,7,15,17,19],[8,9,10,11,12,13,14,16,18,20]]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [6,1,2,3,4,5,7,8,9,10] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,5,6,13,15,17,19],[7,8,9,10,11,12,14,16,18,20]]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [5,1,2,3,4,6,7,8,9,10] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,5,11,13,15,17,19],[6,7,8,9,10,12,14,16,18,20]]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [4,1,2,3,5,6,7,8,9,10] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,9,11,13,15,17,19],[5,6,7,8,10,12,14,16,18,20]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [4,5,6,7,1,2,8,3,9] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,6,8,10,14,17],[5,7,9,11,12,13,15,16,18]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,6,7,8,9,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,3,4,6,7,8,10,12,14],[2,5,9,11,13,15,16,17,18]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [3,5,6,7,8,1,2,9,4] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[1,2,3,5,6,8,10,12,16],[4,7,9,11,13,14,15,17,18]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,5,6,7,8,9,10,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,5,6,8,10,12,14,16],[4,7,9,11,13,15,17,18,19,20]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [11,1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,10,11],[12,13,14,15,16,17,18,19,20,21,22]]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,1,4,2,5,6,7,8,9] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,6,9,11,13,15,17],[4,5,7,8,10,12,14,16,18]]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,1,2,5,3,6,7,8,9] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,8,11,13,15,17],[5,6,7,9,10,12,14,16,18]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,1,2,3,6,4,7,8,9] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,4,5,10,13,15,17],[6,7,8,9,11,12,14,16,18]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [6,1,2,3,4,7,5,8,9] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [[1,2,3,4,5,6,12,15,17],[7,8,9,10,11,13,14,16,18]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,4,5,1,6,7,8,9,3] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,5,7,10,12,14,16],[3,6,8,9,11,13,15,17,18]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,5,1,6,7,8,9,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,7,10,12,14,16],[3,5,8,9,11,13,15,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,8,1,9,10,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,13,16,18],[3,5,7,9,11,14,15,17,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,8,9,1,10,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,6,8,10,12,13,15,18],[3,5,7,9,11,14,16,17,19,20]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,5,2,6,7,8,9,4] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,7,10,12,14,16],[2,5,8,9,11,13,15,17,18]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [2,7,8,9,10,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,10,12,14],[3,9,11,13,15,16,17,18,19,20]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [2,1,6,7,8,9,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,5,6,7,8,10,12,14],[3,4,9,11,13,15,16,17,18]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,4,5,6,7,8,2,9,3] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,9,11,13,16],[2,6,8,10,12,14,15,17,18]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,6,7,8,1,3,9] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,4,5,7,9,11,13,17],[3,6,8,10,12,14,15,16,18]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,4,5,6,1,7,2,8,9] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[1,2,3,5,7,9,12,15,17],[4,6,8,10,11,13,14,16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,6,7,8,1,2,9,10] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,7,9,11,13,17,19],[4,6,8,10,12,14,15,16,18,20]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,1,6,2,7,8,9] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,5,7,10,13,15,17],[4,6,8,9,11,12,14,16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,5,6,7,10,1,2,8,9] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,7,9,11,13,14,15],[4,6,8,10,12,16,17,18,19,20]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,1,5,9,2,6,7,8] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,3,5,8,10,11,12,13],[4,6,7,9,14,15,16,17,18]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,4,5,6,9,10,1,2,7,8] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,5,7,9,11,12,13,15],[4,6,8,10,14,16,17,18,19,20]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,1,4,8,9,2,5,6,7] => [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,6,8,9,10,11,13],[4,5,7,12,14,15,16,17,18]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,4,5,8,9,10,1,2,6,7] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,5,7,9,10,11,13,15],[4,6,8,12,14,16,17,18,19,20]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,3,7,8,9,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,3,4,6,7,8,9,11,13],[2,5,10,12,14,15,16,17,18]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [3,4,7,8,9,10,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,5,7,8,9,11,13,15],[4,6,10,12,14,16,17,18,19,20]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [3,6,7,8,9,10,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,5,6,7,9,11,13,15],[4,8,10,12,14,16,17,18,19,20]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,8,9,10,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,9,11,13,15],[6,8,10,12,14,16,17,18,19,20]]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,5,2,4,6,7,8,9] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,6,7,11,13,15,17],[2,5,8,9,10,12,14,16,18]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,1,2,3,4,7,6,8,9] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [[1,2,3,4,5,11,12,15,17],[6,7,8,9,10,13,14,16,18]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,3,5,9,4,6,7,8] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,8,10,11,12,13],[2,4,6,9,14,15,16,17,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,2,3,4,5,7,9,6,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,7,9,11,12,14,15],[2,4,6,8,10,13,16,17,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,2,3,4,5,6,10,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,11,13,14,15,16],[2,4,6,8,10,12,17,18,19,20]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,2,3,4,6,9,5,7,8] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[1,3,5,7,9,10,12,13,14],[2,4,6,8,11,15,16,17,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,2,3,4,5,10,6,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,9,11,12,13,14,15],[2,4,6,8,10,16,17,18,19,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,2,3,4,10,5,6,7,8,9] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,7,9,10,11,12,13,14],[2,4,6,8,15,16,17,18,19,20]]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,4,9,3,5,6,7,8] => [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,6,8,9,10,11,12],[2,4,7,13,14,15,16,17,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,2,3,10,4,5,6,7,8,9] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,5,7,8,9,10,11,12,13],[2,4,6,14,15,16,17,18,19,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,2,10,3,4,5,6,7,8,9] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10,11,12],[2,4,13,14,15,16,17,18,19,20]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,2,3,4,7,5,8,6,9] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[1,3,5,7,9,10,11,14,17],[2,4,6,8,12,13,15,16,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,3,4,5,7,1,8,9,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,6,8,10,11,14,16],[3,5,7,9,12,13,15,17,18]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,5,1,6,7,8,9,10,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,7,10,12,14,16,18],[3,5,8,9,11,13,15,17,19,20]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,8,9,10,1,2,7] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,5,7,9,11,12,14,16],[4,6,8,10,13,15,17,18,19,20]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [10,1,2,3,4,5,6,7,11,8,9] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,7,8,9,10,19],[11,12,13,14,15,16,17,18,20,21,22]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,4,5,6,1,7,2,9,8] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,5,7,9,12,15,16],[4,6,8,10,11,13,14,17,18]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,5,4,7,6,9,8] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12,15,16],[4,5,6,9,10,13,14,17,18]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,5,2,4,7,6,9,8] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,6,7,11,12,15,16],[4,5,8,9,10,13,14,17,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,7,4,6,9,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[1,2,3,6,7,10,11,15,16],[4,5,8,9,12,13,14,17,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,7,4,8,6,9] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[1,2,3,6,7,10,11,14,17],[4,5,8,9,12,13,15,16,18]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7,9] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[1,2,3,6,7,10,13,14,17],[4,5,8,9,11,12,15,16,18]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7,9] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,3,6,9,10,13,14,17],[4,5,7,8,11,12,15,16,18]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,5,4,7,6,9,8,10] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,3,7,8,11,12,15,16,19],[4,5,6,9,10,13,14,17,18,20]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,1,5,2,4,7,6,9,8,10] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,3,6,7,11,12,15,16,19],[4,5,8,9,10,13,14,17,18,20]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,1,5,2,7,4,6,9,8,10] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,6,7,10,11,15,16,19],[4,5,8,9,12,13,14,17,18,20]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,7,4,9,6,8,10] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[1,2,3,6,7,10,11,14,15,19],[4,5,8,9,12,13,16,17,18,20]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,7,4,9,6,10,8] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,3,6,7,10,11,14,15,18],[4,5,8,9,12,13,16,17,19,20]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,5,2,7,4,8,6,10,9] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,6,7,10,11,14,17,18],[4,5,8,9,12,13,15,16,19,20]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,5,2,6,4,8,7,10,9] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,6,7,10,13,14,17,18],[4,5,8,9,11,12,15,16,19,20]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5,8,7,10,9] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,6,9,10,13,14,17,18],[4,5,7,8,11,12,15,16,19,20]]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,1,2,5,6,7,8,9,10] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,5,9,11,13,15,17,19],[4,6,7,8,10,12,14,16,18,20]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [4,5,6,7,8,9,10,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8,10,12,14,16],[5,7,9,11,13,15,17,18,19,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,6,7,8,9,10,1,2,11] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,9,11,13,15,17,21],[4,6,8,10,12,14,16,18,19,20,22]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,5,6,7,8,9,10,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10,12,14,16],[2,7,9,11,13,15,17,18,19,20]]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,9,2,3,4,5,6,7,8,10] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,4,6,8,10,1,3,5,7,9] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[1,2,4,5,7,8,10,11,13,14],[3,6,9,12,15,16,17,18,19,20]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [6,1,7,2,8,3,9,4,10,5] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,6,9,12,15,18],[7,8,10,11,13,14,16,17,19,20]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [2,4,6,8,10,12,1,3,5,7,9,11] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [[1,2,4,5,7,8,10,11,13,14,16,17],[3,6,9,12,15,18,19,20,21,22,23,24]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [7,1,8,2,9,3,10,4,11,5,12,6] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,6,7,10,13,16,19,22],[8,9,11,12,14,15,17,18,20,21,23,24]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9,10,11] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15,17,19,21],[2,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [4,5,6,7,8,9,1,2,10,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,8,10,12,14,18],[5,7,9,11,13,15,16,17,19,20]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [6,7,8,9,1,2,3,4,10,5] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,8,10,12,18],[7,9,11,13,14,15,16,17,19,20]]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [8,10,1,2,3,4,5,6,7,9] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,10,11],[9,12,13,14,15,16,17,18,19,20]]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9,10,11] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13,15,17,19,21],[4,5,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [1,2,3,4,5,6,7,8,9,12,10,11] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,15,17,19,20,21],[2,4,6,8,10,12,14,16,18,22,23,24]]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9,10,11,12] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13,15,17,19,21,23],[4,5,6,8,10,12,14,16,18,20,22,24]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,8,9,10,11,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12,14,16,18,20],[4,5,7,9,11,13,15,17,19,21,22]]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,5,1,4,6,7,8,9] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,7,11,13,15,17],[3,5,8,9,10,12,14,16,18]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,6,1,5,7,8,9] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,4,6,8,9,13,15,17],[3,5,7,10,11,12,14,16,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,4,5,7,1,6,8,9] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,6,8,10,11,15,17],[3,5,7,9,12,13,14,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,4,5,6,8,1,7,9] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[1,2,4,6,8,10,12,13,17],[3,5,7,9,11,14,15,16,18]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,6,1,2,3,7,9,4,8] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [[1,2,3,4,5,7,12,14,15],[6,8,9,10,11,13,16,17,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,2,3,4,5,6,7,8,10,9,11] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,11,13,15,17,18,21],[2,4,6,8,10,12,14,16,19,20,22]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,7,8,9,10,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,10,12,14],[7,9,11,13,15,16,17,18,19,20]]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [9,1,10,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,12],[10,11,13,14,15,16,17,18,19,20]]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,3,10,1,4,5,6,7,8,9] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,4,6,7,8,9,10,11,12],[3,5,13,14,15,16,17,18,19,20]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,3,4,10,1,5,6,7,8,9] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,4,6,8,9,10,11,12,13],[3,5,7,14,15,16,17,18,19,20]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [6,1,2,3,4,7,8,9,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,5,6,12,14,16],[7,8,9,10,11,13,15,17,18]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,2,3,6,7,8,9,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,5,10,12,14,16],[6,7,8,9,11,13,15,17,18]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [6,1,2,3,4,7,9,5,8] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [[1,2,3,4,5,6,12,14,15],[7,8,9,10,11,13,16,17,18]]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [5,10,1,2,3,4,6,7,8,9] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,9,10,11],[6,12,13,14,15,16,17,18,19,20]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,4,1,5,6,7,8,9,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,5,8,10,12,14,16],[3,6,7,9,11,13,15,17,18]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [9,10,1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,11],[10,12,13,14,15,16,17,18,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,6,7,8,9,1,11,10] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,8,10,12,14,16,19,20],[3,5,7,9,11,13,15,17,18,21,22]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,4,5,6,8,1,9,7] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,8,10,12,13,16],[3,5,7,9,11,14,15,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,4,5,6,7,9,1,10,8] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,8,10,12,14,15,18],[3,5,7,9,11,13,16,17,19,20]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [7,8,9,10,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,11,13],[8,10,12,14,15,16,17,18,19,20]]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [8,9,10,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,10,12],[9,11,13,14,15,16,17,18,19,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,6,7,8,9,10,1,11,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,9,11,13,15,17,20],[4,6,8,10,12,14,16,18,19,21,22]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,2,5,7,4,6,9,8] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[1,3,4,7,8,10,11,15,16],[2,5,6,9,12,13,14,17,18]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7,9] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,3,4,9,10,13,14,17],[5,6,7,8,11,12,15,16,18]]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,1,4,9,2,5,6,7,8] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,6,8,9,10,11,12],[4,5,7,13,14,15,16,17,18]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,4,5,6,7,8,1,9,3] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,4,5,7,9,11,13,16],[3,6,8,10,12,14,15,17,18]]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,1,2,3,7,8,9,10] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,6,8,13,15,17,19],[5,7,9,10,11,12,14,16,18,20]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [5,7,8,9,10,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,10,12,14],[6,9,11,13,15,16,17,18,19,20]]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [4,7,8,9,10,1,2,3,5,6] => [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,6,7,8,10,12,14],[5,9,11,13,15,16,17,18,19,20]]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [7,8,1,9,10,2,3,4,5,6] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,12,14],[8,10,11,13,15,16,17,18,19,20]]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [7,1,8,9,10,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,10,12,14],[8,9,11,13,15,16,17,18,19,20]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,5,6,8,2,9,7] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,3,6,8,10,12,13,16],[4,5,7,9,11,14,15,17,18]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,4,6,7,8,9,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,7,8,10,12,14],[3,6,9,11,13,15,16,17,18]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,2,5,6,7,8,9,10,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,8,10,12,14,16,18],[5,6,7,9,11,13,15,17,19,20]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,2,3,4,7,8,9,10,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,5,6,12,14,16,18],[7,8,9,10,11,13,15,17,19,20]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [6,1,2,3,7,4,8,9,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [[1,2,3,4,5,6,11,14,16],[7,8,9,10,12,13,15,17,18]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [7,1,2,3,4,5,8,9,10,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,5,6,7,14,16,18],[8,9,10,11,12,13,15,17,19,20]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [5,6,7,8,10,1,2,3,4,9] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,9,11,13,14],[6,8,10,12,15,16,17,18,19,20]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,4,7,9,6,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[1,3,4,7,8,11,12,14,15],[2,5,6,9,10,13,16,17,18]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7,9] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[1,2,3,4,7,10,13,14,17],[5,6,8,9,11,12,15,16,18]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,1,2,5,3,7,6,9,8] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,4,8,11,12,15,16],[5,6,7,9,10,13,14,17,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [6,7,8,9,1,10,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,8,10,12,15],[7,9,11,13,14,16,17,18,19,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [1,2,3,4,5,6,7,8,10,11,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,13,15,17,18,20],[2,4,6,8,10,12,14,16,19,21,22]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,6,1,7,8,9,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,9,12,14,16],[3,5,7,10,11,13,15,17,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,7,1,8,9,10,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,11,14,16,18],[3,5,7,9,12,13,15,17,19,20]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,6,1,7,8,9,10,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,9,12,14,16,18],[3,5,7,10,11,13,15,17,19,20]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,6,8,9,2,7] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,3,4,6,8,10,12,13,15],[2,5,7,9,11,14,16,17,18]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,4,1,5,6,7,8,9,10,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,5,8,10,12,14,16,18],[3,6,7,9,11,13,15,17,19,20]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [6,7,8,9,1,2,10,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,8,10,12,16],[7,9,11,13,14,15,17,18,19,20]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [2,8,9,10,11,1,3,4,5,6,7] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,11,13,15],[3,10,12,14,16,17,18,19,20,21,22]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [2,1,3,4,5,8,6,7,9] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,2,5,7,9,11,12,13,17],[3,4,6,8,10,14,15,16,18]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,9,8] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,5,8,11,12,15,16],[2,6,7,9,10,13,14,17,18]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,6,3,7,5,9,8] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[1,3,4,5,8,9,12,15,16],[2,6,7,10,11,13,14,17,18]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,4,2,3,6,5,8,7,9] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13,14,17],[2,6,7,8,11,12,15,16,18]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,4,2,5,3,7,6,9,8,10] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,5,8,11,12,15,16,19],[2,6,7,9,10,13,14,17,18,20]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,8,5,10,7,9] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,3,4,5,8,9,12,13,16,17],[2,6,7,10,11,14,15,18,19,20]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,4,2,3,6,5,8,7,10,9] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,5,9,10,13,14,17,18],[2,6,7,8,11,12,15,16,19,20]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,5,8,7,9] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,4,5,9,10,13,14,17],[3,6,7,8,11,12,15,16,18]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,4,1,5,6,7,9,2,8] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,3,5,8,10,12,14,15],[4,6,7,9,11,13,16,17,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [4,5,6,7,1,8,2,9,3] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,6,8,10,13,16],[5,7,9,11,12,14,15,17,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [8,1,2,3,4,5,6,9,10,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [[1,2,3,4,5,6,7,8,16,18],[9,10,11,12,13,14,15,17,19,20]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [1,2,3,4,7,5,6,9,8] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,7,9,10,11,15,16],[2,4,6,8,12,13,14,17,18]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,3,4,5,1,8,6,9,7] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,4,6,8,11,12,13,16],[3,5,7,9,10,14,15,17,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,2,3,4,5,6,9,10,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,7,9,11,13,14,15,17],[2,4,6,8,10,12,16,18,19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,6,5,9,7,8] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,13,14,15],[3,4,7,8,11,12,16,17,18]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,4,3,7,5,9,6,8] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[1,2,5,6,9,10,11,14,15],[3,4,7,8,12,13,16,17,18]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,9,6,8] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,2,5,6,7,10,11,14,15],[3,4,8,9,12,13,16,17,18]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,5,2,7,4,9,6,8] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,3,4,6,7,10,11,14,15],[2,5,8,9,12,13,16,17,18]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,3,2,5,7,4,9,6,8] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[1,3,4,7,8,10,11,14,15],[2,5,6,9,12,13,16,17,18]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,5,4,7,6,10,8,9] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,11,12,15,16,17],[2,5,6,9,10,13,14,18,19,20]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,5,4,8,6,10,7,9] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[1,3,4,7,8,11,12,13,16,17],[2,5,6,9,10,14,15,18,19,20]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,4,8,5,10,7,9] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,3,4,7,8,9,12,13,16,17],[2,5,6,10,11,14,15,18,19,20]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,6,3,8,5,10,7,9] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,2,4,5,8,9,12,13,16,17],[3,6,7,10,11,14,15,18,19,20]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,1,4,6,3,8,5,10,7,9] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,2,5,6,8,9,12,13,16,17],[3,4,7,10,11,14,15,18,19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,3,6,8,5,10,7,9] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,5,6,9,10,12,13,16,17],[3,4,7,8,11,14,15,18,19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,5,8,10,7,9] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[1,2,5,6,9,10,13,14,16,17],[3,4,7,8,11,12,15,18,19,20]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,2,3,4,6,7,9,5,8] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[1,3,5,7,9,10,12,14,15],[2,4,6,8,11,13,16,17,18]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,3,5,1,4,7,6,9,8] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,6,7,11,12,15,16],[3,5,8,9,10,13,14,17,18]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,3,8,1,4,5,6,9,7] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[1,2,4,6,7,8,9,10,16],[3,5,11,12,13,14,15,17,18]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [2,7,1,3,4,5,8,9,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[1,2,4,5,6,7,8,14,16],[3,9,10,11,12,13,15,17,18]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,4,3,7,5,8,6,9] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[1,2,5,6,9,10,11,14,17],[3,4,7,8,12,13,15,16,18]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,4,1,7,5,8,6,9] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[1,2,4,6,9,10,11,14,17],[3,5,7,8,12,13,15,16,18]]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8,9,10,11] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,7,9,11,13,15,17,19,21],[3,5,6,8,10,12,14,16,18,20,22]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [2,5,1,3,6,7,8,9,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,5,6,10,12,14,16],[3,7,8,9,11,13,15,17,18]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [6,7,1,8,2,9,3,10,4,5] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,6,8,11,14,17],[7,9,10,12,13,15,16,18,19,20]]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [8,1,10,2,3,4,5,6,7,9] => [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,11,12],[9,10,13,14,15,16,17,18,19,20]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [3,5,1,2,4,7,6,9,8] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,5,6,11,12,15,16],[4,7,8,9,10,13,14,17,18]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [7,8,9,1,2,3,4,10,5,6] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,7,9,11,17],[8,10,12,13,14,15,16,18,19,20]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,5,3,7,6,9,8,10] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,4,5,8,11,12,15,16,19],[3,6,7,9,10,13,14,17,18,20]]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [3,1,8,9,10,2,4,5,6,7] => [1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,6,7,8,9,10,12,14],[4,5,11,13,15,16,17,18,19,20]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [2,1,7,3,8,4,9,5,10,6] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,2,5,6,7,8,9,12,15,18],[3,4,10,11,13,14,16,17,19,20]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [2,1,8,3,9,4,10,5,11,6,12,7] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,2,5,6,7,8,9,10,13,16,19,22],[3,4,11,12,14,15,17,18,20,21,23,24]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,7,8,9,2,3,10] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,3,4,5,7,9,11,13,15,19],[2,6,8,10,12,14,16,17,18,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [1,2,3,4,5,6,8,10,7,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,7,9,11,13,14,16,17],[2,4,6,8,10,12,15,18,19,20]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,3,5,2,4,7,6,9,8] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,6,7,11,12,15,16],[2,5,8,9,10,13,14,17,18]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,3,5,2,4,7,6,9,8,10] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,6,7,11,12,15,16,19],[2,5,8,9,10,13,14,17,18,20]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [2,9,1,3,4,5,6,7,10,8] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[1,2,4,5,6,7,8,9,10,18],[3,11,12,13,14,15,16,17,19,20]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,8,5,7,9] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[1,2,4,5,8,9,12,13,17],[3,6,7,10,11,14,15,16,18]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,4,1,7,3,8,5,6,9] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[1,2,4,5,8,9,10,13,17],[3,6,7,11,12,14,15,16,18]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [5,6,1,2,3,7,8,9,10,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,5,7,12,14,16,18],[6,8,9,10,11,13,15,17,19,20]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,3,6,4,8,7,10,9] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,7,10,13,14,17,18],[3,4,8,9,11,12,15,16,19,20]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [3,1,4,2,9,5,10,6,11,7,12,8] => [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,6,9,10,11,12,13,16,19,22],[4,5,7,8,14,15,17,18,20,21,23,24]]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [4,5,6,9,10,1,2,3,7,8] => [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,6,8,10,11,12,14],[5,7,9,13,15,16,17,18,19,20]]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [4,5,8,9,10,1,2,3,6,7] => [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,6,8,9,10,12,14],[5,7,11,13,15,16,17,18,19,20]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,4,1,6,3,5,8,7,9] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,4,5,8,9,13,14,17],[3,6,7,10,11,12,15,16,18]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,4,1,5,3,7,6,9,8] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,5,8,11,12,15,16],[3,6,7,9,10,13,14,17,18]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [2,4,1,3,6,5,8,7,10,9] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,5,9,10,13,14,17,18],[3,6,7,8,11,12,15,16,19,20]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,6,1,2,3,7,8,9,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,5,7,12,14,16],[6,8,9,10,11,13,15,17,18]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,3,2,6,4,7,5,9,8] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[1,3,4,7,8,9,12,15,16],[2,5,6,10,11,13,14,17,18]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,6,2,8,3,9,5,10,7] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,7,8,11,12,15,18],[5,6,9,10,13,14,16,17,19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10,13,14,17,18,21,22],[3,4,7,8,11,12,15,16,19,20,23,24]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,6,2,7,3,8,4,9,5] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,3,4,5,6,7,10,13,16],[2,8,9,11,12,14,15,17,18]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,1,6,2,7,3,8,4,9] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,4,5,8,11,14,17],[6,7,9,10,12,13,15,16,18]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [6,7,1,8,9,10,2,3,4,5] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,8,11,13,15],[7,9,10,12,14,16,17,18,19,20]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,7,4,6,9,8] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[1,2,3,7,8,10,11,15,16],[4,5,6,9,12,13,14,17,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [6,7,8,1,9,10,2,3,4,5] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,8,10,13,15],[7,9,11,12,14,16,17,18,19,20]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [4,5,6,7,8,1,9,2,10,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,6,8,10,12,15,18],[5,7,9,11,13,14,16,17,19,20]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,4,1,5,2,7,6,9,8] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,5,8,11,12,15,16],[4,6,7,9,10,13,14,17,18]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,2,6,3,4,7,5,9,8] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[1,3,5,6,7,8,12,15,16],[2,4,9,10,11,13,14,17,18]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [8,1,9,2,10,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,11,14],[9,10,12,13,15,16,17,18,19,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,8,9,10,11,12,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14,16,18,20,22],[2,5,7,9,11,13,15,17,19,21,23,24]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7,9] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,3,5,9,10,13,14,17],[4,6,7,8,11,12,15,16,18]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,3,5,2,7,4,6,9,8] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[1,3,4,6,7,10,11,15,16],[2,5,8,9,12,13,14,17,18]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,5,6,7,9,2,10,8] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,3,6,8,10,12,14,15,18],[4,5,7,9,11,13,16,17,19,20]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,7,2,8,3,9,4,10,6] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,8,9,12,15,18],[6,7,10,11,13,14,16,17,19,20]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [2,4,6,8,1,3,5,7,9,10] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[1,2,4,5,7,8,10,11,17,19],[3,6,9,12,13,14,15,16,18,20]]
Map
to 321-avoiding permutation (Billey-Jockusch-Stanley)
Description
The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Map
to two-row standard tableau
Description
Return a standard tableau of shape $(n,n)$ where $n$ is the semilength of the Dyck path.
Given a Dyck path $D$, its image is given by recording the positions of the up-steps in the first row and the positions of the down-steps in the second row.
Given a Dyck path $D$, its image is given by recording the positions of the up-steps in the first row and the positions of the down-steps in the second row.
searching the database
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