Identifier
Mp00028:
Dyck paths
—reverse⟶
Dyck paths
Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Mp00084: Standard tableaux —conjugate⟶ Standard tableaux
Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Mp00084: Standard tableaux —conjugate⟶ Standard tableaux
Images
[1,0] => [1,0] => [[1],[2]] => [[1,2]]
[1,0,1,0] => [1,0,1,0] => [[1,3],[2,4]] => [[1,2],[3,4]]
[1,1,0,0] => [1,1,0,0] => [[1,2],[3,4]] => [[1,3],[2,4]]
[1,0,1,0,1,0] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => [[1,2],[3,4],[5,6]]
[1,0,1,1,0,0] => [1,1,0,0,1,0] => [[1,2,5],[3,4,6]] => [[1,3],[2,4],[5,6]]
[1,1,0,0,1,0] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => [[1,2],[3,5],[4,6]]
[1,1,0,1,0,0] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => [[1,3],[2,5],[4,6]]
[1,1,1,0,0,0] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => [[1,4],[2,5],[3,6]]
[1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => [[1,2],[3,4],[5,6],[7,8]]
[1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0] => [[1,2,5,7],[3,4,6,8]] => [[1,3],[2,4],[5,6],[7,8]]
[1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0] => [[1,3,4,7],[2,5,6,8]] => [[1,2],[3,5],[4,6],[7,8]]
[1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [[1,2,4,7],[3,5,6,8]] => [[1,3],[2,5],[4,6],[7,8]]
[1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => [[1,2,3,7],[4,5,6,8]] => [[1,4],[2,5],[3,6],[7,8]]
[1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => [[1,2],[3,4],[5,7],[6,8]]
[1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => [[1,2,5,6],[3,4,7,8]] => [[1,3],[2,4],[5,7],[6,8]]
[1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => [[1,2],[3,5],[4,7],[6,8]]
[1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => [[1,3],[2,5],[4,7],[6,8]]
[1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => [[1,4],[2,5],[3,7],[6,8]]
[1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => [[1,2],[3,6],[4,7],[5,8]]
[1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0] => [[1,2,4,5],[3,6,7,8]] => [[1,3],[2,6],[4,7],[5,8]]
[1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => [[1,4],[2,6],[3,7],[5,8]]
[1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => [[1,5],[2,6],[3,7],[4,8]]
[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],[2,4,6,8,10]] => [[1,2],[3,4],[5,6],[7,8],[9,10]]
[1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [[1,2,5,7,9],[3,4,6,8,10]] => [[1,3],[2,4],[5,6],[7,8],[9,10]]
[1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,9],[2,5,6,8,10]] => [[1,2],[3,5],[4,6],[7,8],[9,10]]
[1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [[1,2,4,7,9],[3,5,6,8,10]] => [[1,3],[2,5],[4,6],[7,8],[9,10]]
[1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [[1,2,3,7,9],[4,5,6,8,10]] => [[1,4],[2,5],[3,6],[7,8],[9,10]]
[1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0] => [[1,3,5,6,9],[2,4,7,8,10]] => [[1,2],[3,4],[5,7],[6,8],[9,10]]
[1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9],[3,4,7,8,10]] => [[1,3],[2,4],[5,7],[6,8],[9,10]]
[1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0] => [[1,3,4,6,9],[2,5,7,8,10]] => [[1,2],[3,5],[4,7],[6,8],[9,10]]
[1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,9],[3,5,7,8,10]] => [[1,3],[2,5],[4,7],[6,8],[9,10]]
[1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0] => [[1,2,3,6,9],[4,5,7,8,10]] => [[1,4],[2,5],[3,7],[6,8],[9,10]]
[1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0] => [[1,3,4,5,9],[2,6,7,8,10]] => [[1,2],[3,6],[4,7],[5,8],[9,10]]
[1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [[1,2,4,5,9],[3,6,7,8,10]] => [[1,3],[2,6],[4,7],[5,8],[9,10]]
[1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0] => [[1,2,3,5,9],[4,6,7,8,10]] => [[1,4],[2,6],[3,7],[5,8],[9,10]]
[1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => [[1,2,3,4,9],[5,6,7,8,10]] => [[1,5],[2,6],[3,7],[4,8],[9,10]]
[1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => [[1,2],[3,4],[5,6],[7,9],[8,10]]
[1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0] => [[1,2,5,7,8],[3,4,6,9,10]] => [[1,3],[2,4],[5,6],[7,9],[8,10]]
[1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8],[2,5,6,9,10]] => [[1,2],[3,5],[4,6],[7,9],[8,10]]
[1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [[1,2,4,7,8],[3,5,6,9,10]] => [[1,3],[2,5],[4,6],[7,9],[8,10]]
[1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => [[1,2,3,7,8],[4,5,6,9,10]] => [[1,4],[2,5],[3,6],[7,9],[8,10]]
[1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => [[1,2],[3,4],[5,7],[6,9],[8,10]]
[1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [[1,2,5,6,8],[3,4,7,9,10]] => [[1,3],[2,4],[5,7],[6,9],[8,10]]
[1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => [[1,2],[3,5],[4,7],[6,9],[8,10]]
[1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => [[1,3],[2,5],[4,7],[6,9],[8,10]]
[1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => [[1,4],[2,5],[3,7],[6,9],[8,10]]
[1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => [[1,2],[3,6],[4,7],[5,9],[8,10]]
[1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0] => [[1,2,4,5,8],[3,6,7,9,10]] => [[1,3],[2,6],[4,7],[5,9],[8,10]]
[1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => [[1,4],[2,6],[3,7],[5,9],[8,10]]
[1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => [[1,5],[2,6],[3,7],[4,9],[8,10]]
[1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => [[1,2],[3,4],[5,8],[6,9],[7,10]]
[1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,7],[3,4,8,9,10]] => [[1,3],[2,4],[5,8],[6,9],[7,10]]
[1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [[1,3,4,6,7],[2,5,8,9,10]] => [[1,2],[3,5],[4,8],[6,9],[7,10]]
[1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,7],[3,5,8,9,10]] => [[1,3],[2,5],[4,8],[6,9],[7,10]]
[1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0] => [[1,2,3,6,7],[4,5,8,9,10]] => [[1,4],[2,5],[3,8],[6,9],[7,10]]
[1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]] => [[1,2],[3,6],[4,8],[5,9],[7,10]]
[1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => [[1,2,4,5,7],[3,6,8,9,10]] => [[1,3],[2,6],[4,8],[5,9],[7,10]]
[1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]] => [[1,4],[2,6],[3,8],[5,9],[7,10]]
[1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0] => [[1,2,3,4,7],[5,6,8,9,10]] => [[1,5],[2,6],[3,8],[4,9],[7,10]]
[1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => [[1,2],[3,7],[4,8],[5,9],[6,10]]
[1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0] => [[1,2,4,5,6],[3,7,8,9,10]] => [[1,3],[2,7],[4,8],[5,9],[6,10]]
[1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]] => [[1,4],[2,7],[3,8],[5,9],[6,10]]
[1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => [[1,5],[2,7],[3,8],[4,9],[6,10]]
[1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11],[3,4,6,8,10,12]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,4,7,9,11],[2,5,6,8,10,12]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,7,9,11],[3,5,6,8,10,12]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,7,9,11],[4,5,6,8,10,12]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,6,9,11],[2,4,7,8,10,12]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,11],[3,4,7,8,10,12]] => [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,4,6,9,11],[2,5,7,8,10,12]] => [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,9,11],[3,5,7,8,10,12]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[1,2,3,6,9,11],[4,5,7,8,10,12]] => [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,4,5,9,11],[2,6,7,8,10,12]] => [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,5,9,11],[3,6,7,8,10,12]] => [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,9,11],[4,6,7,8,10,12]] => [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,3,4,9,11],[5,6,7,8,10,12]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,8,11],[2,4,6,9,10,12]] => [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,8,11],[3,4,6,9,10,12]] => [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,7,8,11],[3,5,6,9,10,12]] => [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,6,8,11],[2,4,7,9,10,12]] => [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [[1,2,5,6,8,11],[3,4,7,9,10,12]] => [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,4,6,8,11],[2,5,7,9,10,12]] => [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,11],[3,5,7,9,10,12]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[1,2,3,6,8,11],[4,5,7,9,10,12]] => [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [[1,3,4,5,8,11],[2,6,7,9,10,12]] => [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [[1,2,4,5,8,11],[3,6,7,9,10,12]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[1,2,3,5,8,11],[4,6,7,9,10,12]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,8,11],[5,6,7,9,10,12]] => [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,6,7,11],[2,4,8,9,10,12]] => [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [[1,3,4,6,7,11],[2,5,8,9,10,12]] => [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[1,2,4,6,7,11],[3,5,8,9,10,12]] => [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[1,2,3,6,7,11],[4,5,8,9,10,12]] => [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [[1,3,4,5,7,11],[2,6,8,9,10,12]] => [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[1,2,4,5,7,11],[3,6,8,9,10,12]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,11],[4,6,8,9,10,12]] => [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[1,2,3,4,7,11],[5,6,8,9,10,12]] => [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]
>>> Load all 1970 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,4,5,6,11],[2,7,8,9,10,12]] => [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [[1,2,4,5,6,11],[3,7,8,9,10,12]] => [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [[1,2,3,5,6,11],[4,7,8,9,10,12]] => [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,11],[5,7,8,9,10,12]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,11],[6,7,8,9,10,12]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,10],[3,4,6,8,11,12]] => [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,4,7,9,10],[2,5,6,8,11,12]] => [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[1,2,4,7,9,10],[3,5,6,8,11,12]] => [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,7,9,10],[4,5,6,8,11,12]] => [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]
[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],[3,4,7,8,11,12]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [[1,3,4,6,9,10],[2,5,7,8,11,12]] => [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,9,10],[3,5,7,8,11,12]] => [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,6,9,10],[4,5,7,8,11,12]] => [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[1,2,4,5,9,10],[3,6,7,8,11,12]] => [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,9,10],[4,6,7,8,11,12]] => [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,8,10],[3,4,6,9,11,12]] => [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [[1,3,4,7,8,10],[2,5,6,9,11,12]] => [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[1,2,4,7,8,10],[3,5,6,9,11,12]] => [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,7,8,10],[4,5,6,9,11,12]] => [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,5,6,8,10],[3,4,7,9,11,12]] => [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,5,8,10],[3,6,7,9,11,12]] => [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,5,6,7,10],[3,4,8,9,11,12]] => [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [[1,3,4,6,7,10],[2,5,8,9,11,12]] => [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,7,10],[3,5,8,9,11,12]] => [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,3,6,7,10],[4,5,8,9,11,12]] => [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,5,7,10],[3,6,8,9,11,12]] => [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,7,10],[5,6,8,9,11,12]] => [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,4,5,6,10],[3,7,8,9,11,12]] => [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,10],[6,7,8,9,11,12]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,8,9],[3,4,6,10,11,12]] => [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,7,8,9],[3,5,6,10,11,12]] => [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,6,8,9],[2,4,7,10,11,12]] => [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[1,2,5,6,8,9],[3,4,7,10,11,12]] => [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,9],[2,5,7,10,11,12]] => [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,9],[3,5,7,10,11,12]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[1,2,3,6,8,9],[4,5,7,10,11,12]] => [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [[1,3,4,5,8,9],[2,6,7,10,11,12]] => [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,4,5,8,9],[3,6,7,10,11,12]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,5,8,9],[4,6,7,10,11,12]] => [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[1,2,3,4,8,9],[5,6,7,10,11,12]] => [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[1,2,5,6,7,9],[3,4,8,10,11,12]] => [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[1,3,4,6,7,9],[2,5,8,10,11,12]] => [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,7,9],[3,5,8,10,11,12]] => [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[1,2,3,6,7,9],[4,5,8,10,11,12]] => [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9],[2,6,8,10,11,12]] => [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9],[3,6,8,10,11,12]] => [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9],[4,6,8,10,11,12]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[1,2,3,4,7,9],[5,6,8,10,11,12]] => [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [[1,3,4,5,6,9],[2,7,8,10,11,12]] => [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[1,2,4,5,6,9],[3,7,8,10,11,12]] => [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[1,2,3,5,6,9],[4,7,8,10,11,12]] => [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,6,9],[5,7,8,10,11,12]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[1,2,3,4,5,9],[6,7,8,10,11,12]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[1,3,4,6,7,8],[2,5,9,10,11,12]] => [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,7,8],[3,5,9,10,11,12]] => [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[1,2,3,6,7,8],[4,5,9,10,11,12]] => [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,8],[2,6,9,10,11,12]] => [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,5,7,8],[3,6,9,10,11,12]] => [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,8],[4,6,9,10,11,12]] => [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,7,8],[5,6,9,10,11,12]] => [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,5,6,8],[3,7,9,10,11,12]] => [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,6,8],[4,7,9,10,11,12]] => [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,8],[6,7,9,10,11,12]] => [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,4,5,6,7],[3,8,9,10,11,12]] => [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,6,7],[4,8,9,10,11,12]] => [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,7],[5,8,9,10,11,12]] => [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7],[6,8,9,10,11,12]] => [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12],[13,14]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12],[13,14]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12],[13,14]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12],[13,14]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12],[13,14]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12],[13,14]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12],[13,14]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12],[13,14]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12],[13,14]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12],[13,14]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12],[13,14]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12],[13,14]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12],[13,14]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,14]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,9],[7,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,9],[7,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,9],[7,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,9],[6,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,9],[6,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,9],[6,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,13],[12,14]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,13],[12,14]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,9],[7,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,9],[7,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,9],[7,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,9],[7,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,9],[6,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,9],[6,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,9],[6,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,11],[10,13],[12,14]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,13],[12,14]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,10],[8,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,10],[7,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,10],[7,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,10],[7,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,10],[7,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,10],[7,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,10],[6,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,10],[6,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,10],[6,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,13],[12,14]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,13],[12,14]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,9],[6,10],[7,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,9],[6,10],[7,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,9],[6,10],[7,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,10],[7,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,9],[6,10],[7,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,9],[5,10],[7,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,9],[5,10],[7,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,10],[7,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,9],[4,10],[7,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,10],[6,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,10],[6,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,10],[6,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,10],[6,11],[8,13],[12,14]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,10],[5,11],[8,13],[12,14]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,10],[6,11],[7,13],[12,14]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,10],[6,11],[7,13],[12,14]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,10],[6,11],[7,13],[12,14]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,10],[6,11],[7,13],[12,14]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,10],[5,11],[7,13],[12,14]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,13],[12,14]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]] => [[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,9],[7,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,9],[7,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,9],[7,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,9],[7,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,9],[6,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,9],[6,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,9],[6,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,12],[10,13],[11,14]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,12],[10,13],[11,14]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,10],[8,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,10],[7,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,10],[7,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,10],[7,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,10],[7,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,10],[7,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,10],[6,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,10],[6,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,10],[6,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,10],[6,12],[9,13],[11,14]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,12],[9,13],[11,14]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,9],[6,10],[7,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,9],[6,10],[7,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,9],[6,10],[7,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,10],[7,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,9],[6,10],[7,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,9],[5,10],[7,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,9],[5,10],[7,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,10],[7,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,9],[4,10],[7,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,10],[6,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,10],[6,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,10],[6,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,10],[6,12],[8,13],[11,14]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,10],[5,12],[8,13],[11,14]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,10],[6,12],[7,13],[11,14]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,10],[6,12],[7,13],[11,14]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,10],[6,12],[7,13],[11,14]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,10],[6,12],[7,13],[11,14]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,10],[5,12],[7,13],[11,14]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,12],[6,13],[11,14]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,11],[8,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,11],[7,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,11],[7,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,11],[7,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,11],[7,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,11],[7,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,11],[7,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,11],[7,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,11],[7,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,11],[7,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,11],[6,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,11],[6,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,11],[6,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,11],[6,12],[9,13],[10,14]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,11],[5,12],[9,13],[10,14]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,9],[6,11],[7,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,9],[6,11],[7,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,9],[6,11],[7,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,11],[7,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,9],[6,11],[7,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,9],[5,11],[7,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,9],[5,11],[7,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,11],[7,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,9],[4,11],[7,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,11],[6,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,11],[6,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,11],[6,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,12],[8,13],[10,14]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,11],[5,12],[8,13],[10,14]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,11],[6,12],[7,13],[10,14]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,11],[6,12],[7,13],[10,14]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,11],[6,12],[7,13],[10,14]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,11],[6,12],[7,13],[10,14]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,11],[5,12],[7,13],[10,14]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,11],[5,12],[6,13],[10,14]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,10],[6,11],[7,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,10],[6,11],[7,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,10],[6,11],[7,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,10],[6,11],[7,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,10],[6,11],[7,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,10],[5,11],[7,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,10],[5,11],[7,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,10],[5,11],[7,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,10],[4,11],[7,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,10],[5,11],[6,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,10],[5,11],[6,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,10],[5,11],[6,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,10],[4,11],[6,12],[8,13],[9,14]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,10],[4,11],[5,12],[8,13],[9,14]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,10],[5,11],[6,12],[7,13],[9,14]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,10],[5,11],[6,12],[7,13],[9,14]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,10],[5,11],[6,12],[7,13],[9,14]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,10],[4,11],[6,12],[7,13],[9,14]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,10],[4,11],[5,12],[7,13],[9,14]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,10],[4,11],[5,12],[6,13],[9,14]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,9],[4,10],[5,11],[6,12],[7,13],[8,14]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,9],[4,10],[5,11],[6,12],[7,13],[8,14]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,9],[3,10],[5,11],[6,12],[7,13],[8,14]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,9],[3,10],[4,11],[6,12],[7,13],[8,14]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,9],[3,10],[4,11],[5,12],[7,13],[8,14]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,10],[4,11],[5,12],[6,13],[8,14]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,7,11,13,15],[5,6,8,9,10,12,14,16]] => [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[1,2,4,7,9,10,13,15],[3,5,6,8,11,12,14,16]] => [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,10,13,15],[3,4,7,8,11,12,14,16]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,3,6,8,10,13,15],[4,5,7,9,11,12,14,16]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,3,4,5,7,9,13,15],[2,6,8,10,11,12,14,16]] => [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,5,6,7,8,13,15],[3,4,9,10,11,12,14,16]] => [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[1,2,4,5,6,8,13,15],[3,7,9,10,11,12,14,16]] => [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,7,13,15],[6,8,9,10,11,12,14,16]] => [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12],[13,14],[15,16]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,14],[15,16]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,9],[8,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,9],[8,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,5,11,12,15],[6,7,8,9,10,13,14,16]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,7,9,10,12,15],[2,4,6,8,11,13,14,16]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,9],[8,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[1,2,3,5,7,10,12,15],[4,6,8,9,11,13,14,16]] => [[1,4],[2,6],[3,8],[5,9],[7,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,13],[12,14],[15,16]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,10],[8,11],[9,13],[12,14],[15,16]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,10],[8,11],[9,13],[12,14],[15,16]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,13],[12,14],[15,16]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,10],[7,11],[9,13],[12,14],[15,16]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,13],[12,14],[15,16]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,13],[12,14],[15,16]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[1,3,4,5,7,8,12,15],[2,6,9,10,11,13,14,16]] => [[1,2],[3,6],[4,9],[5,10],[7,11],[8,13],[12,14],[15,16]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,10],[6,11],[8,13],[12,14],[15,16]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,13],[12,14],[15,16]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,9,10,11,15],[3,4,7,8,12,13,14,16]] => [[1,3],[2,4],[5,7],[6,8],[9,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[1,2,3,7,8,9,11,15],[4,5,6,10,12,13,14,16]] => [[1,4],[2,5],[3,6],[7,10],[8,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,10],[8,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,10],[8,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[1,3,5,6,7,9,11,15],[2,4,8,10,12,13,14,16]] => [[1,2],[3,4],[5,8],[6,10],[7,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,10],[6,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,10],[6,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,12],[9,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,9],[6,10],[7,12],[8,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[1,2,4,6,7,8,11,15],[3,5,9,10,12,13,14,16]] => [[1,3],[2,5],[4,9],[6,10],[7,12],[8,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,10],[6,12],[8,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,7,11,15],[3,8,9,10,12,13,14,16]] => [[1,3],[2,8],[4,9],[5,10],[6,12],[7,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,10],[6,12],[7,13],[11,14],[15,16]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[1,2,3,4,5,6,11,15],[7,8,9,10,12,13,14,16]] => [[1,7],[2,8],[3,9],[4,10],[5,12],[6,13],[11,14],[15,16]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,11],[8,12],[9,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,11],[8,12],[9,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,11],[8,12],[9,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,11],[8,12],[9,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,11],[7,12],[9,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,11],[6,12],[9,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[1,2,3,4,5,9,10,15],[6,7,8,11,12,13,14,16]] => [[1,6],[2,7],[3,8],[4,11],[5,12],[9,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,10,15],[3,4,9,11,12,13,14,16]] => [[1,3],[2,4],[5,9],[6,11],[7,12],[8,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,9],[5,11],[7,12],[8,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,11],[7,12],[8,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[1,2,4,5,6,8,10,15],[3,7,9,11,12,13,14,16]] => [[1,3],[2,7],[4,9],[5,11],[6,12],[8,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,12],[8,13],[10,14],[15,16]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,11],[5,12],[6,13],[10,14],[15,16]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,10],[6,11],[7,12],[8,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,10],[6,11],[7,12],[8,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,10],[6,11],[7,12],[8,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [[1,2,3,5,7,8,9,15],[4,6,10,11,12,13,14,16]] => [[1,4],[2,6],[3,10],[5,11],[7,12],[8,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[1,2,4,5,6,8,9,15],[3,7,10,11,12,13,14,16]] => [[1,3],[2,7],[4,10],[5,11],[6,12],[8,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,6,8,9,15],[5,7,10,11,12,13,14,16]] => [[1,5],[2,7],[3,10],[4,11],[6,12],[8,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,10],[4,11],[5,12],[8,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,10],[5,11],[6,12],[7,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,10],[4,11],[6,12],[7,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,10],[4,11],[5,12],[7,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,10],[4,11],[5,12],[6,13],[9,14],[15,16]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,9],[4,10],[5,11],[6,12],[7,13],[8,14],[15,16]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,9],[4,10],[5,11],[6,12],[7,13],[8,14],[15,16]]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,9],[3,10],[5,11],[6,12],[7,13],[8,14],[15,16]]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]] => [[1,5],[2,9],[3,10],[4,11],[6,12],[7,13],[8,14],[15,16]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,9],[3,10],[4,11],[5,12],[7,13],[8,14],[15,16]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,10],[4,11],[5,12],[6,13],[8,14],[15,16]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14],[15,16]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[1,2,3,4,6,11,13,14],[5,7,8,9,10,12,15,16]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10,13,14],[3,4,7,8,11,12,15,16]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[1,2,3,4,5,10,13,14],[6,7,8,9,11,12,15,16]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[1,2,4,6,8,9,13,14],[3,5,7,10,11,12,15,16]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[1,2,3,4,5,9,13,14],[6,7,8,10,11,12,15,16]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12],[13,15],[14,16]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,15],[14,16]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,12,14],[2,4,6,8,10,13,15,16]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[1,2,3,5,8,11,12,14],[4,6,7,9,10,13,15,16]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,9],[7,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,6,11,12,14],[5,7,8,9,10,13,15,16]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,10,12,14],[2,4,6,8,11,13,15,16]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,9],[7,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,9],[7,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,2,4,5,7,10,12,14],[3,6,8,9,11,13,15,16]] => [[1,3],[2,6],[4,8],[5,9],[7,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,9],[7,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,9],[6,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,9],[6,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[1,3,4,6,8,9,12,14],[2,5,7,10,11,13,15,16]] => [[1,2],[3,5],[4,7],[6,10],[8,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,10],[7,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,9],[6,10],[7,11],[8,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,9],[5,10],[7,11],[8,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,10],[7,11],[8,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,10],[6,11],[8,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,10],[6,11],[8,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,10],[5,11],[8,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,10],[6,11],[7,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,10],[6,11],[7,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,10],[6,11],[7,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,10],[5,11],[7,13],[12,15],[14,16]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,13],[12,15],[14,16]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,9,10,11,14],[2,4,6,8,12,13,15,16]] => [[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[1,2,5,7,8,10,11,14],[3,4,6,9,12,13,15,16]] => [[1,3],[2,4],[5,6],[7,9],[8,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,9],[7,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,9],[6,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,9],[6,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,12],[10,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,4,7,8,9,11,14],[3,5,6,10,12,13,15,16]] => [[1,3],[2,5],[4,6],[7,10],[8,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,6,8,9,11,14],[3,5,7,10,12,13,15,16]] => [[1,3],[2,5],[4,7],[6,10],[8,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,10],[7,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,10],[7,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,12],[9,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[1,3,4,5,6,8,11,14],[2,7,9,10,12,13,15,16]] => [[1,2],[3,7],[4,9],[5,10],[6,12],[8,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,10],[6,12],[8,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,10],[5,12],[7,13],[11,15],[14,16]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,12],[6,13],[11,15],[14,16]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,11],[8,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,11],[8,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,11],[8,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,11],[7,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,11],[7,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,11],[7,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,11],[7,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,11],[7,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,11],[6,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,11],[6,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,11],[5,12],[9,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,9],[6,11],[7,12],[8,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[1,3,4,5,7,8,10,14],[2,6,9,11,12,13,15,16]] => [[1,2],[3,6],[4,9],[5,11],[7,12],[8,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,11],[7,12],[8,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,11],[6,12],[8,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,11],[6,12],[8,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,12],[8,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,11],[6,12],[7,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,11],[6,12],[7,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,11],[5,12],[7,13],[10,15],[14,16]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,11],[5,12],[6,13],[10,15],[14,16]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,10],[6,11],[7,12],[8,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,10],[6,11],[7,12],[8,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,10],[6,11],[7,12],[8,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,10],[6,11],[7,12],[8,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,10],[5,11],[7,12],[8,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,10],[5,11],[7,12],[8,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,10],[4,11],[5,12],[8,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,10],[5,11],[6,12],[7,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,10],[5,11],[6,12],[7,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,10],[4,11],[6,12],[7,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,10],[4,11],[5,12],[7,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,10],[4,11],[5,12],[6,13],[9,15],[14,16]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,9],[4,10],[5,11],[6,12],[7,13],[8,15],[14,16]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,9],[4,10],[5,11],[6,12],[7,13],[8,15],[14,16]]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,9],[3,10],[5,11],[6,12],[7,13],[8,15],[14,16]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,6,7,8,14],[5,9,10,11,12,13,15,16]] => [[1,5],[2,9],[3,10],[4,11],[6,12],[7,13],[8,15],[14,16]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,9],[3,10],[4,11],[5,12],[7,13],[8,15],[14,16]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,10],[4,11],[5,12],[6,13],[8,15],[14,16]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,15],[14,16]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,9],[7,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,5,7,11,12,13],[4,6,8,9,10,14,15,16]] => [[1,4],[2,6],[3,8],[5,9],[7,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,9],[7,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,9],[6,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,14],[12,15],[13,16]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,7,9,10,12,13],[2,4,6,8,11,14,15,16]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,14],[12,15],[13,16]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,11],[10,14],[12,15],[13,16]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,14],[12,15],[13,16]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,11],[10,14],[12,15],[13,16]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,11],[10,14],[12,15],[13,16]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,11],[10,14],[12,15],[13,16]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,10],[8,11],[9,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,11],[9,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,10],[7,11],[9,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,10],[7,11],[8,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,10],[6,11],[7,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,10],[5,11],[7,14],[12,15],[13,16]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,14],[12,15],[13,16]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,7,9,10,11,13],[2,4,6,8,12,14,15,16]] => [[1,2],[3,4],[5,6],[7,8],[9,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,9],[8,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,9],[7,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,12],[10,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,10],[8,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,10],[8,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,10],[8,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,10],[8,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,10],[8,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[1,3,4,6,8,9,11,13],[2,5,7,10,12,14,15,16]] => [[1,2],[3,5],[4,7],[6,10],[8,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,10],[7,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,10],[7,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,10],[7,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,10],[7,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,6,9,11,13],[2,7,8,10,12,14,15,16]] => [[1,2],[3,7],[4,8],[5,10],[6,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,10],[6,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,10],[6,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,10],[6,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,12],[9,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,9],[6,10],[7,12],[8,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,10],[7,12],[8,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,10],[7,12],[8,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [[1,2,3,4,7,8,11,13],[5,6,9,10,12,14,15,16]] => [[1,5],[2,6],[3,9],[4,10],[7,12],[8,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,10],[6,12],[8,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,10],[6,12],[8,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,10],[6,12],[8,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,10],[6,12],[8,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,10],[5,12],[8,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,10],[6,12],[7,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,10],[6,12],[7,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,10],[6,12],[7,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,10],[6,12],[7,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,10],[5,12],[7,14],[11,15],[13,16]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,12],[6,14],[11,15],[13,16]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,11],[8,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,11],[8,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,11],[7,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,11],[7,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,11],[7,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,11],[7,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,11],[6,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,11],[6,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,11],[6,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,11],[5,12],[9,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,3,4,6,7,8,10,13],[2,5,9,11,12,14,15,16]] => [[1,2],[3,5],[4,9],[6,11],[7,12],[8,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,11],[7,12],[8,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,11],[7,12],[8,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,7,8,10,13],[5,6,9,11,12,14,15,16]] => [[1,5],[2,6],[3,9],[4,11],[7,12],[8,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,11],[6,12],[8,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,11],[6,12],[8,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,12],[8,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,11],[5,12],[8,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,11],[6,12],[7,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,11],[6,12],[7,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,11],[5,12],[7,14],[10,15],[13,16]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,11],[5,12],[6,14],[10,15],[13,16]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,10],[6,11],[7,12],[8,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,10],[6,11],[7,12],[8,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,10],[6,11],[7,12],[8,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[1,2,3,5,7,8,9,13],[4,6,10,11,12,14,15,16]] => [[1,4],[2,6],[3,10],[5,11],[7,12],[8,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,10],[4,11],[7,12],[8,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,10],[5,11],[6,12],[8,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,10],[5,11],[6,12],[8,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,10],[4,11],[6,12],[8,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [[1,2,3,4,5,8,9,13],[6,7,10,11,12,14,15,16]] => [[1,6],[2,7],[3,10],[4,11],[5,12],[8,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,10],[5,11],[6,12],[7,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,10],[5,11],[6,12],[7,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,10],[4,11],[6,12],[7,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,10],[4,11],[5,12],[7,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,10],[4,11],[5,12],[6,14],[9,15],[13,16]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,9],[4,10],[5,11],[6,12],[7,14],[8,15],[13,16]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[1,2,4,5,6,7,8,13],[3,9,10,11,12,14,15,16]] => [[1,3],[2,9],[4,10],[5,11],[6,12],[7,14],[8,15],[13,16]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,9],[3,10],[5,11],[6,12],[7,14],[8,15],[13,16]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,9],[3,10],[4,11],[6,12],[7,14],[8,15],[13,16]]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,7,8,13],[6,9,10,11,12,14,15,16]] => [[1,6],[2,9],[3,10],[4,11],[5,12],[7,14],[8,15],[13,16]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,10],[4,11],[5,12],[6,14],[8,15],[13,16]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,11],[5,12],[6,14],[7,15],[13,16]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]] => [[1,2],[3,4],[5,6],[7,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,9],[8,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,9],[7,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,9],[6,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,13],[10,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,10],[8,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[1,2,3,7,8,9,11,12],[4,5,6,10,13,14,15,16]] => [[1,4],[2,5],[3,6],[7,10],[8,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,10],[7,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,10],[7,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,10],[6,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,10],[6,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,10],[5,13],[9,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[1,2,3,5,7,8,11,12],[4,6,9,10,13,14,15,16]] => [[1,4],[2,6],[3,9],[5,10],[7,13],[8,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,9],[4,10],[7,13],[8,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,10],[6,13],[8,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,10],[6,13],[8,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,10],[5,13],[8,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[1,2,3,5,6,7,11,12],[4,8,9,10,13,14,15,16]] => [[1,4],[2,8],[3,9],[5,10],[6,13],[7,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,10],[6,13],[7,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,10],[5,13],[7,14],[11,15],[12,16]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,13],[6,14],[11,15],[12,16]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,11],[8,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,11],[8,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,11],[8,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,11],[8,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,11],[8,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,11],[8,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,11],[8,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,11],[7,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,11],[7,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,4,6,7,9,10,12],[3,5,8,11,13,14,15,16]] => [[1,3],[2,5],[4,8],[6,11],[7,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,11],[7,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,11],[7,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,4,7,9,10,12],[5,6,8,11,13,14,15,16]] => [[1,5],[2,6],[3,8],[4,11],[7,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,11],[6,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,11],[6,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,11],[5,13],[9,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,9],[6,11],[7,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,9],[6,11],[7,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,11],[7,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,9],[5,11],[7,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,11],[7,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,7,8,10,12],[5,6,9,11,13,14,15,16]] => [[1,5],[2,6],[3,9],[4,11],[7,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,11],[6,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,11],[6,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,11],[6,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,9],[4,11],[5,13],[8,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,11],[6,13],[7,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,11],[6,13],[7,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,11],[6,13],[7,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,11],[5,13],[7,14],[10,15],[12,16]]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,11],[5,13],[6,14],[10,15],[12,16]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,10],[6,11],[7,13],[8,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,10],[6,11],[7,13],[8,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,10],[5,11],[7,13],[8,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,10],[5,11],[7,13],[8,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,10],[4,11],[7,13],[8,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[1,2,3,5,6,8,9,12],[4,7,10,11,13,14,15,16]] => [[1,4],[2,7],[3,10],[5,11],[6,13],[8,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,6,8,9,12],[5,7,10,11,13,14,15,16]] => [[1,5],[2,7],[3,10],[4,11],[6,13],[8,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,10],[4,11],[5,13],[8,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,10],[5,11],[6,13],[7,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,10],[5,11],[6,13],[7,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[1,2,3,5,6,7,9,12],[4,8,10,11,13,14,15,16]] => [[1,4],[2,8],[3,10],[5,11],[6,13],[7,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,10],[4,11],[6,13],[7,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,10],[4,11],[5,13],[7,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,10],[4,11],[5,13],[6,14],[9,15],[12,16]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,9],[4,10],[5,11],[6,13],[7,14],[8,15],[12,16]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,9],[4,10],[5,11],[6,13],[7,14],[8,15],[12,16]]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,9],[3,10],[5,11],[6,13],[7,14],[8,15],[12,16]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,9],[3,10],[4,11],[6,13],[7,14],[8,15],[12,16]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,9],[3,10],[4,11],[5,13],[7,14],[8,15],[12,16]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,10],[4,11],[5,13],[6,14],[8,15],[12,16]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,11],[5,13],[6,14],[7,15],[12,16]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,12],[8,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,12],[7,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,12],[7,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,12],[7,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,12],[7,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,12],[7,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[1,3,4,5,7,9,10,11],[2,6,8,12,13,14,15,16]] => [[1,2],[3,6],[4,8],[5,12],[7,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[1,2,4,5,7,9,10,11],[3,6,8,12,13,14,15,16]] => [[1,3],[2,6],[4,8],[5,12],[7,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,12],[7,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,4,7,9,10,11],[5,6,8,12,13,14,15,16]] => [[1,5],[2,6],[3,8],[4,12],[7,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,8],[5,12],[6,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,12],[6,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,8],[5,12],[6,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,12],[6,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,12],[5,13],[9,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,9],[6,12],[7,13],[8,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,12],[7,13],[8,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,9],[5,12],[7,13],[8,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,9],[4,12],[7,13],[8,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,9],[5,12],[6,13],[8,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,12],[6,13],[8,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,5,8,10,11],[6,7,9,12,13,14,15,16]] => [[1,6],[2,7],[3,9],[4,12],[5,13],[8,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,9],[5,12],[6,13],[7,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,9],[5,12],[6,13],[7,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,9],[5,12],[6,13],[7,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,9],[4,12],[6,13],[7,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,9],[4,12],[5,13],[7,14],[10,15],[11,16]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,12],[5,13],[6,14],[10,15],[11,16]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,10],[6,12],[7,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,10],[6,12],[7,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,10],[6,12],[7,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,10],[6,12],[7,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,10],[5,12],[7,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,10],[5,12],[7,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,10],[4,12],[7,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,10],[5,12],[6,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [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]] => [[1,4],[2,7],[3,10],[5,12],[6,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,10],[4,12],[6,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,10],[4,12],[5,13],[8,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,10],[5,12],[6,13],[7,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,10],[5,12],[6,13],[7,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,8],[3,10],[5,12],[6,13],[7,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,10],[4,12],[6,13],[7,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,10],[4,12],[5,13],[7,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,10],[4,12],[5,13],[6,14],[9,15],[11,16]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,9],[4,10],[5,12],[6,13],[7,14],[8,15],[11,16]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,9],[4,10],[5,12],[6,13],[7,14],[8,15],[11,16]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [[1,2,3,5,6,7,8,11],[4,9,10,12,13,14,15,16]] => [[1,4],[2,9],[3,10],[5,12],[6,13],[7,14],[8,15],[11,16]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,9],[3,10],[4,12],[6,13],[7,14],[8,15],[11,16]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,8,11],[6,9,10,12,13,14,15,16]] => [[1,6],[2,9],[3,10],[4,12],[5,13],[7,14],[8,15],[11,16]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,10],[4,12],[5,13],[6,14],[8,15],[11,16]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,12],[5,13],[6,14],[7,15],[11,16]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,11],[6,12],[7,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,11],[6,12],[7,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,11],[6,12],[7,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,11],[6,12],[7,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,11],[6,12],[7,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,11],[5,12],[7,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,11],[5,12],[7,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,11],[5,12],[7,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,11],[4,12],[7,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]] => [[1,2],[3,7],[4,11],[5,12],[6,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,11],[5,12],[6,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [[1,2,3,5,6,8,9,10],[4,7,11,12,13,14,15,16]] => [[1,4],[2,7],[3,11],[5,12],[6,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,11],[4,12],[6,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,11],[4,12],[5,13],[8,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,11],[5,12],[6,13],[7,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,8],[4,11],[5,12],[6,13],[7,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,5,6,7,9,10],[4,8,11,12,13,14,15,16]] => [[1,4],[2,8],[3,11],[5,12],[6,13],[7,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,8],[3,11],[4,12],[6,13],[7,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,11],[4,12],[5,13],[7,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,11],[4,12],[5,13],[6,14],[9,15],[10,16]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,9],[4,11],[5,12],[6,13],[7,14],[8,15],[10,16]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,9],[4,11],[5,12],[6,13],[7,14],[8,15],[10,16]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,9],[3,11],[5,12],[6,13],[7,14],[8,15],[10,16]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,9],[3,11],[4,12],[6,13],[7,14],[8,15],[10,16]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,9],[3,11],[4,12],[5,13],[7,14],[8,15],[10,16]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,11],[4,12],[5,13],[6,14],[8,15],[10,16]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,11],[4,12],[5,13],[6,14],[7,15],[10,16]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,10],[4,11],[5,12],[6,13],[7,14],[8,15],[9,16]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,10],[4,11],[5,12],[6,13],[7,14],[8,15],[9,16]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,10],[3,11],[5,12],[6,13],[7,14],[8,15],[9,16]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,10],[3,11],[4,12],[6,13],[7,14],[8,15],[9,16]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,10],[3,11],[4,12],[5,13],[7,14],[8,15],[9,16]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,10],[3,11],[4,12],[5,13],[6,14],[8,15],[9,16]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[9,16]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16],[9,17],[10,18]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16],[17,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[11,20]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,10],[4,12],[5,13],[6,14],[7,15],[8,16],[9,17],[11,18]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]] => [[1,8],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[9,16],[17,18]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [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]] => [[1,10],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[19,20]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,20],[11,21],[12,22]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]] => [[1,2],[3,11],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[12,20]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]] => [[1,2],[3,9],[4,12],[5,13],[6,14],[7,15],[8,16],[10,17],[11,18]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]] => [[1,2],[3,10],[4,11],[5,13],[6,14],[7,15],[8,16],[9,17],[12,18]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]] => [[1,7],[2,10],[3,11],[4,12],[5,13],[6,14],[8,15],[9,16],[17,18]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]] => [[1,8],[2,9],[3,11],[4,12],[5,13],[6,14],[7,15],[10,16],[17,18]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]] => [[1,9],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[10,18],[19,20]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [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]] => [[1,11],[2,12],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,20],[21,22]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,13],[2,11,12,14,15,16,17,18,19,20]] => [[1,2],[3,11],[4,12],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[13,20]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,9],[4,11],[5,13],[6,14],[7,15],[8,16],[10,17],[12,18]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,13],[2,10,11,12,14,15,16,17,18]] => [[1,2],[3,10],[4,11],[5,12],[6,14],[7,15],[8,16],[9,17],[13,18]]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,8,9,17],[6,10,11,12,13,14,15,16,18]] => [[1,6],[2,10],[3,11],[4,12],[5,13],[7,14],[8,15],[9,16],[17,18]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,11],[4,12],[5,13],[6,14],[8,15],[10,16],[17,18]]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,9,10,19],[8,11,12,13,14,15,16,17,18,20]] => [[1,8],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[9,17],[10,18],[19,20]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,11,13],[2,10,12,14,15,16,17,18,19,20]] => [[1,2],[3,10],[4,12],[5,14],[6,15],[7,16],[8,17],[9,18],[11,19],[13,20]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,11,12],[2,9,10,13,14,15,16,17,18]] => [[1,2],[3,9],[4,10],[5,13],[6,14],[7,15],[8,16],[11,17],[12,18]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,8,9,14],[2,10,11,12,13,15,16,17,18]] => [[1,2],[3,10],[4,11],[5,12],[6,13],[7,15],[8,16],[9,17],[14,18]]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,9,10,17],[7,8,11,12,13,14,15,16,18]] => [[1,7],[2,8],[3,11],[4,12],[5,13],[6,14],[9,15],[10,16],[17,18]]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,9,11,19],[8,10,12,13,14,15,16,17,18,20]] => [[1,8],[2,10],[3,12],[4,13],[5,14],[6,15],[7,16],[9,17],[11,18],[19,20]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,8,11,13],[2,9,10,12,14,15,16,17,18]] => [[1,2],[3,9],[4,10],[5,12],[6,14],[7,15],[8,16],[11,17],[13,18]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,10],[4,11],[5,12],[6,13],[7,14],[8,16],[9,17],[15,18]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,9,10,17],[6,8,11,12,13,14,15,16,18]] => [[1,6],[2,8],[3,11],[4,12],[5,13],[7,14],[9,15],[10,16],[17,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,12],[6,13],[7,14],[8,15],[9,16],[10,17],[11,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,10],[5,12],[6,14],[7,15],[9,16],[11,17],[13,18]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,10],[4,11],[5,12],[6,13],[7,14],[8,15],[9,17],[16,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,12],[6,13],[7,14],[8,15],[9,16],[10,17],[11,18]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,10],[4,11],[5,12],[6,13],[7,14],[8,15],[9,16],[17,18]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,10],[4,12],[5,13],[7,14],[9,15],[11,16],[17,18]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14],[15,17],[16,18]]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,15],[14,16],[17,18]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,9],[4,11],[5,13],[6,15],[7,16],[8,17],[10,18],[12,19],[14,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,12],[6,13],[7,14],[8,15],[9,16],[10,17],[11,18]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,10],[4,11],[5,12],[6,13],[7,14],[8,15],[9,16],[17,18]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,11],[6,13],[7,14],[8,15],[9,16],[10,17],[12,18]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,11],[4,13],[5,14],[6,15],[8,16],[10,17],[12,18],[19,20]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,8,15,16],[7,9,10,11,12,13,14,17,18]] => [[1,7],[2,9],[3,10],[4,11],[5,12],[6,13],[8,14],[15,17],[16,18]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14],[15,16],[17,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,13],[6,14],[7,15],[8,16],[9,17],[10,18],[11,19],[12,20]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16],[17,19],[18,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,13],[6,14],[7,15],[8,16],[9,17],[10,18],[11,19],[12,20]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16],[9,17],[10,18],[19,20]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,7,10,12,14],[2,8,9,11,13,15,16,17,18]] => [[1,2],[3,8],[4,9],[5,11],[6,13],[7,15],[10,16],[12,17],[14,18]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,6,8,10,11,17],[5,7,9,12,13,14,15,16,18]] => [[1,5],[2,7],[3,9],[4,12],[6,13],[8,14],[10,15],[11,16],[17,18]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[8,16],[17,18],[19,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,9],[7,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,9],[7,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,7,10,12,14,16],[5,6,8,9,11,13,15,17,18]] => [[1,5],[2,6],[3,8],[4,9],[7,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,8],[5,9],[6,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,6,10,12,14,16],[4,7,8,9,11,13,15,17,18]] => [[1,4],[2,7],[3,8],[5,9],[6,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,8],[4,9],[6,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,5,7,8,12,14,16],[4,6,9,10,11,13,15,17,18]] => [[1,4],[2,6],[3,9],[5,10],[7,11],[8,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,15],[14,17],[16,18]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,2,4,6,7,9,11,14,16],[3,5,8,10,12,13,15,17,18]] => [[1,3],[2,5],[4,8],[6,10],[7,12],[9,13],[11,15],[14,17],[16,18]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,13],[11,15],[14,17],[16,18]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,12],[8,13],[10,15],[14,17],[16,18]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,4,5,8,9,12,13,16],[3,6,7,10,11,14,15,17,18]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,3,4,8,9,12,13,16],[5,6,7,10,11,14,15,17,18]] => [[1,5],[2,6],[3,7],[4,10],[8,11],[9,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,6,8,10,11,13,16],[3,5,7,9,12,14,15,17,18]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,14],[11,15],[13,17],[16,18]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,12],[9,14],[11,15],[13,17],[16,18]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,15],[13,17],[16,18]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,4,6,8,10,11,12,16],[3,5,7,9,13,14,15,17,18]] => [[1,3],[2,5],[4,7],[6,9],[8,13],[10,14],[11,15],[12,17],[16,18]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8,14],[10,15],[12,17],[16,18]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,5,7,9,10,11,16],[4,6,8,12,13,14,15,17,18]] => [[1,4],[2,6],[3,8],[5,12],[7,13],[9,14],[10,15],[11,17],[16,18]]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,11,16],[8,9,10,12,13,14,15,17,18]] => [[1,8],[2,9],[3,10],[4,12],[5,13],[6,14],[7,15],[11,17],[16,18]]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,11],[4,12],[5,13],[6,14],[8,15],[10,17],[16,18]]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,10,16],[8,9,11,12,13,14,15,17,18]] => [[1,8],[2,9],[3,11],[4,12],[5,13],[6,14],[7,15],[10,17],[16,18]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,10],[4,11],[5,12],[6,13],[7,14],[8,15],[9,17],[16,18]]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,7,8,9,16],[6,10,11,12,13,14,15,17,18]] => [[1,6],[2,10],[3,11],[4,12],[5,13],[7,14],[8,15],[9,17],[16,18]]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,8,9,16],[7,10,11,12,13,14,15,17,18]] => [[1,7],[2,10],[3,11],[4,12],[5,13],[6,14],[8,15],[9,17],[16,18]]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[9,17],[16,18]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[8,17],[16,18]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,16],[14,17],[15,18]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,4,6,8,10,11,14,15],[3,5,7,9,12,13,16,17,18]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,16],[14,17],[15,18]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,16],[14,17],[15,18]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,14],[12,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,10],[7,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,8],[4,10],[7,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,6,9,11,13,15],[3,7,8,10,12,14,16,17,18]] => [[1,3],[2,7],[4,8],[5,10],[6,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,6,9,11,13,15],[5,7,8,10,12,14,16,17,18]] => [[1,5],[2,7],[3,8],[4,10],[6,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,5,9,11,13,15],[6,7,8,10,12,14,16,17,18]] => [[1,6],[2,7],[3,8],[4,10],[5,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,4,6,7,8,11,13,15],[3,5,9,10,12,14,16,17,18]] => [[1,3],[2,5],[4,9],[6,10],[7,12],[8,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,6,8,11,13,15],[3,7,9,10,12,14,16,17,18]] => [[1,3],[2,7],[4,9],[5,10],[6,12],[8,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,6,8,11,13,15],[5,7,9,10,12,14,16,17,18]] => [[1,5],[2,7],[3,9],[4,10],[6,12],[8,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,6,7,11,13,15],[3,8,9,10,12,14,16,17,18]] => [[1,3],[2,8],[4,9],[5,10],[6,12],[7,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[1,2,4,6,8,9,10,13,15],[3,5,7,11,12,14,16,17,18]] => [[1,3],[2,5],[4,7],[6,11],[8,12],[9,14],[10,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,9],[6,11],[7,12],[8,14],[10,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[1,2,4,6,7,8,9,13,15],[3,5,10,11,12,14,16,17,18]] => [[1,3],[2,5],[4,10],[6,11],[7,12],[8,14],[9,16],[13,17],[15,18]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[1,2,4,6,8,10,11,12,15],[3,5,7,9,13,14,16,17,18]] => [[1,3],[2,5],[4,7],[6,9],[8,13],[10,14],[11,16],[12,17],[15,18]]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,8,10,12,15],[6,7,9,11,13,14,16,17,18]] => [[1,6],[2,7],[3,9],[4,11],[5,13],[8,14],[10,16],[12,17],[15,18]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[1,2,3,5,6,7,8,9,15],[4,10,11,12,13,14,16,17,18]] => [[1,4],[2,10],[3,11],[5,12],[6,13],[7,14],[8,16],[9,17],[15,18]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,16],[8,17],[15,18]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,15],[12,16],[13,17],[14,18]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[1,2,4,5,8,9,12,13,14],[3,6,7,10,11,15,16,17,18]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,15],[12,16],[13,17],[14,18]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[1,2,4,5,6,7,12,13,14],[3,8,9,10,11,15,16,17,18]] => [[1,3],[2,8],[4,9],[5,10],[6,11],[7,15],[12,16],[13,17],[14,18]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,6,8,10,11,13,14],[3,5,7,9,12,15,16,17,18]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,15],[11,16],[13,17],[14,18]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[1,2,3,6,7,10,11,13,14],[4,5,8,9,12,15,16,17,18]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,15],[11,16],[13,17],[14,18]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,15],[11,16],[13,17],[14,18]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,6,8,10,13,14],[5,7,9,11,12,15,16,17,18]] => [[1,5],[2,7],[3,9],[4,11],[6,12],[8,15],[10,16],[13,17],[14,18]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,8,10,11,12,14],[3,5,7,9,13,15,16,17,18]] => [[1,3],[2,5],[4,7],[6,9],[8,13],[10,15],[11,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,13],[9,15],[11,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,8,9,10,12,14],[3,5,7,11,13,15,16,17,18]] => [[1,3],[2,5],[4,7],[6,11],[8,13],[9,15],[10,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,11],[7,13],[9,15],[10,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,7,8,10,12,14],[3,5,9,11,13,15,16,17,18]] => [[1,3],[2,5],[4,9],[6,11],[7,13],[8,15],[10,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,7,8,10,12,14],[5,6,9,11,13,15,16,17,18]] => [[1,5],[2,6],[3,9],[4,11],[7,13],[8,15],[10,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,11],[6,13],[8,15],[10,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8,15],[10,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,8,10,12,14],[6,7,9,11,13,15,16,17,18]] => [[1,6],[2,7],[3,9],[4,11],[5,13],[8,15],[10,16],[12,17],[14,18]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[1,2,3,4,6,7,8,9,14],[5,10,11,12,13,15,16,17,18]] => [[1,5],[2,10],[3,11],[4,12],[6,13],[7,15],[8,16],[9,17],[14,18]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,11],[4,12],[5,13],[6,15],[7,16],[8,17],[14,18]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,14],[10,15],[11,16],[12,17],[13,18]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,14],[10,15],[11,16],[12,17],[13,18]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,14],[9,15],[11,16],[12,17],[13,18]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,6,7,11,12,13],[4,8,9,10,14,15,16,17,18]] => [[1,4],[2,8],[3,9],[5,10],[6,14],[7,15],[11,16],[12,17],[13,18]]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,6,11,12,13],[7,8,9,10,14,15,16,17,18]] => [[1,7],[2,8],[3,9],[4,10],[5,14],[6,15],[11,16],[12,17],[13,18]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,5,6,8,10,12,13],[4,7,9,11,14,15,16,17,18]] => [[1,4],[2,7],[3,9],[5,11],[6,14],[8,15],[10,16],[12,17],[13,18]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,8,10,12,13],[5,7,9,11,14,15,16,17,18]] => [[1,5],[2,7],[3,9],[4,11],[6,14],[8,15],[10,16],[12,17],[13,18]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,7,8,12,13],[5,9,10,11,14,15,16,17,18]] => [[1,5],[2,9],[3,10],[4,11],[6,14],[7,15],[8,16],[12,17],[13,18]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9,11,13],[7,8,10,12,14,15,16,17,18]] => [[1,7],[2,8],[3,10],[4,12],[5,14],[6,15],[9,16],[11,17],[13,18]]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,11],[4,12],[5,14],[6,15],[7,16],[10,17],[13,18]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,10],[4,11],[5,12],[6,14],[7,15],[8,16],[9,17],[13,18]]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,8,9,13],[6,10,11,12,14,15,16,17,18]] => [[1,6],[2,10],[3,11],[4,12],[5,14],[7,15],[8,16],[9,17],[13,18]]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,13],[8,10,11,12,14,15,16,17,18]] => [[1,8],[2,10],[3,11],[4,12],[5,14],[6,15],[7,16],[9,17],[13,18]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,11],[4,12],[5,14],[6,15],[7,16],[8,17],[13,18]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,13],[8,14],[9,15],[10,16],[11,17],[12,18]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,5,8,9,10,11,12],[3,6,7,13,14,15,16,17,18]] => [[1,3],[2,6],[4,7],[5,13],[8,14],[9,15],[10,16],[11,17],[12,18]]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,13],[5,14],[6,15],[10,16],[11,17],[12,18]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,9,11,12],[6,8,10,13,14,15,16,17,18]] => [[1,6],[2,8],[3,10],[4,13],[5,14],[7,15],[9,16],[11,17],[12,18]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,11,12],[6,9,10,13,14,15,16,17,18]] => [[1,6],[2,9],[3,10],[4,13],[5,14],[7,15],[8,16],[11,17],[12,18]]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,11,12],[7,9,10,13,14,15,16,17,18]] => [[1,7],[2,9],[3,10],[4,13],[5,14],[6,15],[8,16],[11,17],[12,18]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,11,12],[8,9,10,13,14,15,16,17,18]] => [[1,8],[2,9],[3,10],[4,13],[5,14],[6,15],[7,16],[11,17],[12,18]]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,9,10,12],[7,8,11,13,14,15,16,17,18]] => [[1,7],[2,8],[3,11],[4,13],[5,14],[6,15],[9,16],[10,17],[12,18]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,9],[4,11],[5,13],[6,14],[7,15],[8,16],[10,17],[12,18]]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,11],[4,13],[5,14],[6,15],[7,16],[10,17],[12,18]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,12],[3,10,11,13,14,15,16,17,18]] => [[1,3],[2,10],[4,11],[5,13],[6,14],[7,15],[8,16],[9,17],[12,18]]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,9,12],[7,10,11,13,14,15,16,17,18]] => [[1,7],[2,10],[3,11],[4,13],[5,14],[6,15],[8,16],[9,17],[12,18]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,10],[3,11],[4,13],[5,14],[6,15],[7,16],[9,17],[12,18]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,11],[4,13],[5,14],[6,15],[7,16],[8,17],[12,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,12],[6,13],[7,14],[8,15],[9,16],[10,17],[11,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,12],[6,13],[7,14],[8,15],[9,16],[10,17],[11,18]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,9,10,11],[3,8,12,13,14,15,16,17,18]] => [[1,3],[2,8],[4,12],[5,13],[6,14],[7,15],[9,16],[10,17],[11,18]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,10,11],[3,9,12,13,14,15,16,17,18]] => [[1,3],[2,9],[4,12],[5,13],[6,14],[7,15],[8,16],[10,17],[11,18]]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,10,11],[6,9,12,13,14,15,16,17,18]] => [[1,6],[2,9],[3,12],[4,13],[5,14],[7,15],[8,16],[10,17],[11,18]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,9],[3,12],[4,13],[5,14],[6,15],[8,16],[10,17],[11,18]]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,12],[4,13],[5,14],[6,15],[7,16],[10,17],[11,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,10],[4,12],[5,13],[6,14],[7,15],[8,16],[9,17],[11,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,10],[3,12],[4,13],[5,14],[7,15],[8,16],[9,17],[11,18]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,10],[3,12],[4,13],[5,14],[6,15],[8,16],[9,17],[11,18]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,10],[3,12],[4,13],[5,14],[6,15],[7,16],[9,17],[11,18]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[11,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,11],[4,12],[5,13],[6,14],[7,15],[8,16],[9,17],[10,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [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]] => [[1,4],[2,11],[3,12],[5,13],[6,14],[7,15],[8,16],[9,17],[10,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [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]] => [[1,5],[2,11],[3,12],[4,13],[6,14],[7,15],[8,16],[9,17],[10,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,11],[3,12],[4,13],[5,14],[7,15],[8,16],[9,17],[10,18]]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,9,10],[7,11,12,13,14,15,16,17,18]] => [[1,7],[2,11],[3,12],[4,13],[5,14],[6,15],[8,16],[9,17],[10,18]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[9,17],[10,18]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[10,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [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]] => [[1,10],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [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],[2,4,6,8,10,12,14,16,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16],[17,18]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [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],[2,4,6,8,10,12,14,16,18,20]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[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] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,16],[17,18],[19,20]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,14],[12,15],[13,16],[17,18]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,16],[17,18],[19,20]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18],[19,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20],[21,22]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20],[21,22]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,4,6,8,9,11,15,17],[3,5,7,10,12,13,14,16,18]] => [[1,3],[2,5],[4,7],[6,10],[8,12],[9,13],[11,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[1,2,4,6,7,8,13,15,17],[3,5,9,10,11,12,14,16,18]] => [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12],[13,14],[15,16],[17,18]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,18],[16,19],[17,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,21],[20,22]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,5,7,11,13,15,17],[4,6,8,9,10,12,14,16,18]] => [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,4,6,7,9,11,15,17],[3,5,8,10,12,13,14,16,18]] => [[1,3],[2,5],[4,8],[6,10],[7,12],[9,13],[11,14],[15,16],[17,18]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[1,2,4,6,8,9,11,13,17],[3,5,7,10,12,14,15,16,18]] => [[1,3],[2,5],[4,7],[6,10],[8,12],[9,14],[11,15],[13,16],[17,18]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[1,2,4,6,7,8,11,15,17],[3,5,9,10,12,13,14,16,18]] => [[1,3],[2,5],[4,9],[6,10],[7,12],[8,13],[11,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[1,2,4,5,6,8,13,15,17],[3,7,9,10,11,12,14,16,18]] => [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12],[13,14],[15,16],[17,18]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,16],[14,18],[15,19],[17,20]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,17],[14,18],[15,19],[16,20]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,20],[18,21],[19,22]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[1,2,4,6,7,8,11,13,17],[3,5,9,10,12,14,15,16,18]] => [[1,3],[2,5],[4,9],[6,10],[7,12],[8,14],[11,15],[13,16],[17,18]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,2,4,6,7,8,9,15,17],[3,5,10,11,12,13,14,16,18]] => [[1,3],[2,5],[4,10],[6,11],[7,12],[8,13],[9,14],[15,16],[17,18]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[1,2,4,5,6,8,11,15,17],[3,7,9,10,12,13,14,16,18]] => [[1,3],[2,7],[4,9],[5,10],[6,12],[8,13],[11,14],[15,16],[17,18]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,14],[12,16],[13,18],[15,19],[17,20]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[1,2,4,6,8,10,12,13,14,17],[3,5,7,9,11,15,16,18,19,20]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,15],[12,16],[13,18],[14,19],[17,20]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,8,10,12,13,14,16],[3,5,7,9,11,15,17,18,19,20]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,15],[12,17],[13,18],[14,19],[16,20]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,13],[11,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,12],[9,14],[11,15],[13,16],[17,18]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,14],[11,16],[13,18],[15,19],[17,20]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[1,2,4,6,7,8,9,13,17],[3,5,10,11,12,14,15,16,18]] => [[1,3],[2,5],[4,10],[6,11],[7,12],[8,14],[9,15],[13,16],[17,18]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[1,2,4,5,6,8,11,13,17],[3,7,9,10,12,14,15,16,18]] => [[1,3],[2,7],[4,9],[5,10],[6,12],[8,14],[11,15],[13,16],[17,18]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[1,2,4,5,6,8,9,15,17],[3,7,10,11,12,13,14,16,18]] => [[1,3],[2,7],[4,10],[5,11],[6,12],[8,13],[9,14],[15,16],[17,18]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,16],[12,17],[13,18],[14,19],[15,20]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,8,10,11,12,14,16],[3,5,7,9,13,15,17,18,19,20]] => [[1,3],[2,5],[4,7],[6,9],[8,13],[10,15],[11,17],[12,18],[14,19],[16,20]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,15],[13,16],[17,18]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,14],[15,16],[17,18]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,4,6,8,9,10,13,15,17],[3,5,7,11,12,14,16,18,19,20]] => [[1,3],[2,5],[4,7],[6,11],[8,12],[9,14],[10,16],[13,18],[15,19],[17,20]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,8,9,13,17],[3,7,10,11,12,14,15,16,18]] => [[1,3],[2,7],[4,10],[5,11],[6,12],[8,14],[9,15],[13,16],[17,18]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8,14],[10,15],[12,16],[17,18]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,8,9,10,12,14,16],[3,5,7,11,13,15,17,18,19,20]] => [[1,3],[2,5],[4,7],[6,11],[8,13],[9,15],[10,17],[12,18],[14,19],[16,20]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,14],[15,16],[17,18],[19,20]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,15],[10,16],[11,17],[12,18],[13,19],[14,20]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,7,8,10,12,14,16],[3,5,9,11,13,15,17,18,19,20]] => [[1,3],[2,5],[4,9],[6,11],[7,13],[8,15],[10,17],[12,18],[14,19],[16,20]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,16],[13,17],[15,18],[19,20]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,12],[9,14],[11,16],[13,18],[15,19],[17,20]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,6,9,11,13,15,17],[3,7,8,10,12,14,16,18,19,20]] => [[1,3],[2,7],[4,8],[5,10],[6,12],[9,14],[11,16],[13,18],[15,19],[17,20]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,8,10,12,14,19],[5,7,9,11,13,15,16,17,18,20]] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8,15],[10,16],[12,17],[14,18],[19,20]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [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]] => [[1,3],[2,7],[4,9],[5,11],[6,13],[8,15],[10,17],[12,18],[14,19],[16,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,3,5,6,7,11,13,15,17],[2,4,8,9,10,12,14,16,18]] => [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,5,6,7,11,13,15,17],[3,4,8,9,10,12,14,16,18]] => [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[1,2,5,6,9,10,13,15,17],[3,4,7,8,11,12,14,16,18]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,5,7,8,9,13,15,17],[2,4,6,10,11,12,14,16,18]] => [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,4,7,8,9,13,15,17],[2,5,6,10,11,12,14,16,18]] => [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,14],[15,16],[17,18]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,8,11,12,15,17],[2,5,6,9,10,13,14,16,18]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,13],[12,14],[15,16],[17,18]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,5,7,9,10,11,15,17],[2,4,6,8,12,13,14,16,18]] => [[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,14],[15,16],[17,18]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,5,6,9,10,11,15,17],[3,4,7,8,12,13,14,16,18]] => [[1,3],[2,4],[5,7],[6,8],[9,12],[10,13],[11,14],[15,16],[17,18]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,16],[17,18]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,16],[17,18]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,7,9,10,13,14,17],[2,4,6,8,11,12,15,16,18]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12],[13,15],[14,16],[17,18]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13,14,17],[3,4,7,8,11,12,15,16,18]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,15],[14,16],[17,18]]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,5,6,13,14,17],[7,8,9,10,11,12,15,16,18]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,15],[14,16],[17,18]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,9,11,12,13,17],[2,4,6,8,10,14,15,16,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,14],[12,15],[13,16],[17,18]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,11,12,13,17],[2,5,6,9,10,14,15,16,18]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,14],[12,15],[13,16],[17,18]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3],[2,4],[5,11],[6,12],[7,13],[8,14],[9,15],[10,16],[17,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,18]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,14],[15,17],[16,18]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,10],[11,13],[12,14],[15,17],[16,18]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,13],[12,14],[15,17],[16,18]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,10],[11,13],[12,14],[15,17],[16,18]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,7,11,12,15,16],[2,4,8,9,10,13,14,17,18]] => [[1,2],[3,4],[5,8],[6,9],[7,10],[11,13],[12,14],[15,17],[16,18]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,14],[15,17],[16,18]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2],[3,9],[4,10],[5,11],[6,12],[7,13],[8,14],[15,17],[16,18]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,16],[14,17],[15,18]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,13,14,15],[3,4,7,8,11,12,16,17,18]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,16],[14,17],[15,18]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,16],[14,17],[15,18]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,11,12,13,14],[2,4,6,8,10,15,16,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,15],[12,16],[13,17],[14,18]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6,11,12,13,14],[2,7,8,9,10,15,16,17,18]] => [[1,2],[3,7],[4,8],[5,9],[6,10],[11,15],[12,16],[13,17],[14,18]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,15],[12,16],[13,17],[14,18]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,9,10,11,12,13],[2,4,6,8,14,15,16,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,14],[10,15],[11,16],[12,17],[13,18]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,5],[2,6],[3,7],[4,8],[9,14],[10,15],[11,16],[12,17],[13,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,13],[8,14],[9,15],[10,16],[11,17],[12,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,7,8,9,10,11,12],[2,5,6,13,14,15,16,17,18]] => [[1,2],[3,5],[4,6],[7,13],[8,14],[9,15],[10,16],[11,17],[12,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,4],[2,5],[3,6],[7,13],[8,14],[9,15],[10,16],[11,17],[12,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15,17,19],[2,5,6,9,10,12,14,16,18,20]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,5,6,9,10,13,15,17,19],[3,4,7,8,11,12,14,16,18,20]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,12,15,17,19],[2,5,6,9,10,13,14,16,18,20]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,13],[12,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [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]] => [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,16],[17,18],[19,20]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,10,13,14,17,19],[3,4,7,8,11,12,15,16,18,20]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,15],[14,16],[17,18],[19,20]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,11,13,15,16,19],[2,4,6,8,10,12,14,17,18,20]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,18],[19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,13],[12,14],[15,17],[16,18],[19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,10],[11,13],[12,14],[15,17],[16,18],[19,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,19],[18,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,19],[18,20]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,13,14,17,18],[2,4,6,8,10,12,15,16,19,20]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,16],[17,19],[18,20]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12],[13,15],[14,16],[17,19],[18,20]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12],[13,15],[14,16],[17,19],[18,20]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10,13,14,17,18],[3,4,7,8,11,12,15,16,19,20]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,15],[14,16],[17,19],[18,20]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,15,16,17],[2,4,6,8,10,12,14,18,19,20]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,18],[16,19],[17,20]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,8],[2,9],[3,10],[4,11],[5,12],[6,13],[7,14],[15,18],[16,19],[17,20]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,17],[14,18],[15,19],[16,20]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,17],[14,18],[15,19],[16,20]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,16],[12,17],[13,18],[14,19],[15,20]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,16],[12,17],[13,18],[14,19],[15,20]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,15],[10,16],[11,17],[12,18],[13,19],[14,20]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,5],[2,6],[3,7],[4,8],[9,15],[10,16],[11,17],[12,18],[13,19],[14,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,14],[8,15],[9,16],[10,17],[11,18],[12,19],[13,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,4],[2,5],[3,6],[7,14],[8,15],[9,16],[10,17],[11,18],[12,19],[13,20]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [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]] => [[1,11],[2,12],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,20]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,9,10,12,14,16],[2,4,6,8,11,13,15,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,13,15,16,18],[2,4,6,8,10,12,14,17,19,20]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,19],[18,20]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,9,11,12,13,16],[2,4,6,8,10,14,15,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,14],[12,15],[13,17],[16,18]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,17],[16,19],[18,20]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,12],[10,13],[11,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,10],[8,11],[9,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,8],[6,9],[7,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9,11,13,15],[7,8,10,12,14,16,17,18,19,20]] => [[1,7],[2,8],[3,10],[4,12],[5,14],[6,16],[9,17],[11,18],[13,19],[15,20]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,10],[4,12],[5,15],[7,16],[9,17],[11,18],[13,19],[14,20]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9,11,13,15,17],[7,8,10,12,14,16,18,19,20,21,22]] => [[1,7],[2,8],[3,10],[4,12],[5,14],[6,16],[9,18],[11,19],[13,20],[15,21],[17,22]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,8,10,12,14,16],[6,7,9,11,13,15,17,18,19,20]] => [[1,6],[2,7],[3,9],[4,11],[5,13],[8,15],[10,17],[12,18],[14,19],[16,20]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,8,10,12,14,15],[5,7,9,11,13,16,17,18,19,20]] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8,16],[10,17],[12,18],[14,19],[15,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,17,19,20],[2,4,6,8,10,12,14,16,18,21,22]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,21],[20,22]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [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]] => [[1,10],[2,11],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[12,20]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,12],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[10,19],[11,20]]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,10,13],[11,12,14,15,16,17,18,19,20,21,22]] => [[1,11],[2,12],[3,14],[4,15],[5,16],[6,17],[7,18],[8,19],[9,20],[10,21],[13,22]]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,11,13],[9,10,12,14,15,16,17,18,19,20]] => [[1,9],[2,10],[3,12],[4,14],[5,15],[6,16],[7,17],[8,18],[11,19],[13,20]]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,11,12],[8,10,13,14,15,16,17,18,19,20]] => [[1,8],[2,10],[3,13],[4,14],[5,15],[6,16],[7,17],[9,18],[11,19],[12,20]]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,11,12],[10,13,14,15,16,17,18,19,20,21,22]] => [[1,10],[2,13],[3,14],[4,15],[5,16],[6,17],[7,18],[8,19],[9,20],[11,21],[12,22]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,4,7,9,11,13,15,17,18],[3,5,6,8,10,12,14,16,19,20]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,19],[18,20]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,15],[14,17],[16,18]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,4,7,9,11,13,14,17],[3,5,6,8,10,12,15,16,18]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12],[13,15],[14,16],[17,18]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,15],[14,17],[16,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,3,5,6,7,9,11,13,15],[2,4,8,10,12,14,16,17,18]] => [[1,2],[3,4],[5,8],[6,10],[7,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[1,3,5,7,8,9,11,13,15],[2,4,6,10,12,14,16,17,18]] => [[1,2],[3,4],[5,6],[7,10],[8,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,5,7,9,10,11,13,15],[2,4,6,8,12,14,16,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,12],[10,14],[11,16],[13,17],[15,18]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,7,9,11,12,13,15],[2,4,6,8,10,14,16,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,14],[12,16],[13,17],[15,18]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [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]] => [[1,10],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[9,19],[18,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,12],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[11,20]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,20],[11,21],[12,22]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,11],[4,13],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[12,20]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,13],[8,14],[9,15],[10,16],[11,17],[12,18]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,9],[8,14],[10,15],[11,16],[12,17],[13,18]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,15],[12,16],[13,17],[14,18]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,7,9,11,12,14,15],[2,4,6,8,10,13,16,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,16],[14,17],[15,18]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [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]] => [[1,10],[2,12],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[11,20]]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,13],[10,11,12,14,15,16,17,18,19,20]] => [[1,10],[2,11],[3,12],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[13,20]]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,14],[10,11,12,13,15,16,17,18,19,20]] => [[1,10],[2,11],[3,12],[4,13],[5,15],[6,16],[7,17],[8,18],[9,19],[14,20]]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,15],[10,11,12,13,14,16,17,18,19,20]] => [[1,10],[2,11],[3,12],[4,13],[5,14],[6,16],[7,17],[8,18],[9,19],[15,20]]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,16],[10,11,12,13,14,15,17,18,19,20]] => [[1,10],[2,11],[3,12],[4,13],[5,14],[6,15],[7,17],[8,18],[9,19],[16,20]]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [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]] => [[1,10],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,18],[9,19],[17,20]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,8],[6,10],[7,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,13],[11,14],[15,17],[16,18]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,12],[9,14],[11,15],[13,17],[16,18]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,16],[13,17],[15,19],[18,20]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,10,12],[11,13,14,15,16,17,18,19,20,21,22]] => [[1,11],[2,13],[3,14],[4,15],[5,16],[6,17],[7,18],[8,19],[9,20],[10,21],[12,22]]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,5,6,13,14,16],[7,8,9,10,11,12,15,17,18]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12],[13,15],[14,17],[16,18]]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [[1,2,3,4,5,11,12,13,15],[6,7,8,9,10,14,16,17,18]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,14],[12,16],[13,17],[15,18]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,9,10,11,12,14],[5,6,7,8,13,15,16,17,18]] => [[1,5],[2,6],[3,7],[4,8],[9,13],[10,15],[11,16],[12,17],[14,18]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,13],[4,5,6,12,14,15,16,17,18]] => [[1,4],[2,5],[3,6],[7,12],[8,14],[9,15],[10,16],[11,17],[13,18]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,5,7,9,10,12,14,17],[2,4,6,8,11,13,15,16,18]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,16],[17,18]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,5,7,9,10,12,15,17],[2,4,6,8,11,13,14,16,18]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,6,8,11,13,15,17,19],[2,4,7,9,10,12,14,16,18,20]] => [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,6,8,11,13,15,17,19],[2,5,7,9,10,12,14,16,18,20]] => [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18],[19,20]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,5,7,9,10,12,14,16],[3,4,6,8,11,13,15,17,18]] => [[1,3],[2,4],[5,6],[7,8],[9,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,12,15,16],[2,4,6,8,11,13,14,17,18]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,13],[12,14],[15,17],[16,18]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,12],[10,13],[11,15],[14,17],[16,19],[18,20]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,8],[3,10],[4,12],[5,14],[7,15],[9,16],[11,17],[13,18],[19,20]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,13],[9,14],[11,15],[12,16],[17,18]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,11],[10,13],[12,16],[14,17],[15,18]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,15],[14,16],[17,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,14],[15,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,9,10,12,14,16],[5,6,7,8,11,13,15,17,18]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,6,10,12,14,16,18],[5,7,8,9,11,13,15,17,19,20]] => [[1,5],[2,7],[3,8],[4,9],[6,11],[10,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[1,2,3,4,6,11,12,14,16],[5,7,8,9,10,13,15,17,18]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,6,8,13,14,16],[5,7,9,10,11,12,15,17,18]] => [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12],[13,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,6,8,10,14,16,18],[5,7,9,11,12,13,15,17,19,20]] => [[1,5],[2,7],[3,9],[4,11],[6,12],[8,13],[10,15],[14,17],[16,19],[18,20]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,6,8,10,15,16],[5,7,9,11,12,13,14,17,18]] => [[1,5],[2,7],[3,9],[4,11],[6,12],[8,13],[10,14],[15,17],[16,18]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8,15],[10,16],[12,17],[14,19],[18,20]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [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]] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8,15],[10,17],[12,18],[14,19],[16,20]]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [[1,2,3,4,5,6,12,15,16],[7,8,9,10,11,13,14,17,18]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,13],[12,14],[15,17],[16,18]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[1,2,5,6,7,8,9,10,15],[3,4,11,12,13,14,16,17,18]] => [[1,3],[2,4],[5,11],[6,12],[7,13],[8,14],[9,16],[10,17],[15,18]]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,9,13,14,15],[6,7,8,10,11,12,16,17,18]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12],[13,16],[14,17],[15,18]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,7,8,9,10,11,14],[4,5,6,12,13,15,16,17,18]] => [[1,4],[2,5],[3,6],[7,12],[8,13],[9,15],[10,16],[11,17],[14,18]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,6,11,12,13,14],[5,7,8,9,10,15,16,17,18]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,15],[12,16],[13,17],[14,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,7,8,9,10,11,12],[3,5,6,13,14,15,16,17,18]] => [[1,3],[2,5],[4,6],[7,13],[8,14],[9,15],[10,16],[11,17],[12,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,5,6,7,8,9,10,11],[4,12,13,14,15,16,17,18,19,20]] => [[1,4],[2,12],[3,13],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[11,20]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,5,9,10,11,12,13],[4,6,7,8,14,15,16,17,18]] => [[1,4],[2,6],[3,7],[5,8],[9,14],[10,15],[11,16],[12,17],[13,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,6,7,8,9,10,11],[5,12,13,14,15,16,17,18,19,20]] => [[1,5],[2,12],[3,13],[4,14],[6,15],[7,16],[8,17],[9,18],[10,19],[11,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [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]] => [[1,6],[2,12],[3,13],[4,14],[5,15],[7,16],[8,17],[9,18],[10,19],[11,20]]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,7,13,14,15],[6,8,9,10,11,12,16,17,18]] => [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12],[13,16],[14,17],[15,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,9,10,11],[7,12,13,14,15,16,17,18,19,20]] => [[1,7],[2,12],[3,13],[4,14],[5,15],[6,16],[8,17],[9,18],[10,19],[11,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,10,11],[8,12,13,14,15,16,17,18,19,20]] => [[1,8],[2,12],[3,13],[4,14],[5,15],[6,16],[7,17],[9,18],[10,19],[11,20]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[1,2,4,6,9,11,12,15,17],[3,5,7,8,10,13,14,16,18]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,13],[12,14],[15,16],[17,18]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,8,9,10,11,12],[3,4,7,13,14,15,16,17,18]] => [[1,3],[2,4],[5,7],[6,13],[8,14],[9,15],[10,16],[11,17],[12,18]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,5,6,7,8,15,16],[4,9,10,11,12,13,14,17,18]] => [[1,4],[2,9],[3,10],[5,11],[6,12],[7,13],[8,14],[15,17],[16,18]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,11,12,13],[4,5,6,10,14,15,16,17,18]] => [[1,4],[2,5],[3,6],[7,10],[8,14],[9,15],[11,16],[12,17],[13,18]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,6,7,13,14,15],[5,8,9,10,11,12,16,17,18]] => [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12],[13,16],[14,17],[15,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,16],[17,18],[19,20]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,13],[12,15],[14,17],[16,18],[19,20]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12],[13,14],[15,17],[16,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12],[13,14],[15,16],[17,18]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,10,11,13],[3,12,14,15,16,17,18,19,20,21,22]] => [[1,3],[2,12],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,20],[11,21],[13,22]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [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]] => [[1,3],[2,10],[4,12],[5,14],[6,15],[7,16],[8,17],[9,18],[11,19],[13,20]]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,9,11,18],[8,10,12,13,14,15,16,17,19,20]] => [[1,8],[2,10],[3,12],[4,13],[5,14],[6,15],[7,16],[9,17],[11,19],[18,20]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[1,3,4,7,8,11,12,13,16],[2,5,6,9,10,14,15,17,18]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[1,3,4,7,8,9,12,13,16],[2,5,6,10,11,14,15,17,18]] => [[1,2],[3,5],[4,6],[7,10],[8,11],[9,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,3,4,5,8,9,12,13,16],[2,6,7,10,11,14,15,17,18]] => [[1,2],[3,6],[4,7],[5,10],[8,11],[9,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,5,6,8,9,12,13,16],[3,4,7,10,11,14,15,17,18]] => [[1,3],[2,4],[5,7],[6,10],[8,11],[9,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[1,2,5,6,9,10,12,13,16],[3,4,7,8,11,14,15,17,18]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,14],[12,15],[13,17],[16,18]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[1,2,5,6,9,10,13,14,16],[3,4,7,8,11,12,15,17,18]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,15],[14,17],[16,18]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,5,6,9,10,13,14,15,18],[3,4,7,8,11,12,16,17,19,20]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12],[13,16],[14,17],[15,19],[18,20]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[1,3,4,7,8,9,11,12,16],[2,5,6,10,13,14,15,17,18]] => [[1,2],[3,5],[4,6],[7,10],[8,13],[9,14],[11,15],[12,17],[16,18]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,5,6,9,10,11,14,15,18],[3,4,7,8,12,13,16,17,19,20]] => [[1,3],[2,4],[5,7],[6,8],[9,12],[10,13],[11,16],[14,17],[15,19],[18,20]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [[1,3,4,5,7,8,12,13,16],[2,6,9,10,11,14,15,17,18]] => [[1,2],[3,6],[4,9],[5,10],[7,11],[8,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,5,6,7,10,11,14,15,18],[3,4,8,9,12,13,16,17,19,20]] => [[1,3],[2,4],[5,8],[6,9],[7,12],[10,13],[11,16],[14,17],[15,19],[18,20]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,16],[14,17],[15,19],[18,20]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,3,5,6,8,9,12,13,16],[2,4,7,10,11,14,15,17,18]] => [[1,2],[3,4],[5,7],[6,10],[8,11],[9,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,3,4,6,7,10,11,14,15,18],[2,5,8,9,12,13,16,17,19,20]] => [[1,2],[3,5],[4,8],[6,9],[7,12],[10,13],[11,16],[14,17],[15,19],[18,20]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [[1,2,4,5,9,10,12,13,16],[3,6,7,8,11,14,15,17,18]] => [[1,3],[2,6],[4,7],[5,8],[9,11],[10,14],[12,15],[13,17],[16,18]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,3,4,7,8,10,11,14,15,18],[2,5,6,9,12,13,16,17,19,20]] => [[1,2],[3,5],[4,6],[7,9],[8,12],[10,13],[11,16],[14,17],[15,19],[18,20]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[1,2,5,6,8,9,13,14,16],[3,4,7,10,11,12,15,17,18]] => [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12],[13,15],[14,17],[16,18]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[1,3,4,7,8,11,12,14,15,18],[2,5,6,9,10,13,16,17,19,20]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,13],[12,16],[14,17],[15,19],[18,20]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[1,2,5,6,9,10,12,13,17],[3,4,7,8,11,14,15,16,18]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,14],[12,15],[13,16],[17,18]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,13],[12,14],[15,17],[16,19],[18,20]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[1,2,4,6,9,11,12,14,16],[3,5,7,8,10,13,15,17,18]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,7],[5,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,20]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,16],[13,18],[15,19],[17,20]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,13],[12,15],[14,17],[16,19],[18,21],[20,22]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,9,11,13,15,16],[4,6,8,10,12,14,17,18,19,20]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,17],[13,18],[15,19],[16,20]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [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]] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,16],[13,18],[15,20],[17,21],[19,22]]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,10],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[11,19],[12,20]]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,11,12,13],[8,9,10,14,15,16,17,18,19,20]] => [[1,8],[2,9],[3,10],[4,14],[5,15],[6,16],[7,17],[11,18],[12,19],[13,20]]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,11,12,13,14],[7,8,9,10,15,16,17,18,19,20]] => [[1,7],[2,8],[3,9],[4,10],[5,15],[6,16],[11,17],[12,18],[13,19],[14,20]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,4,5,7,10,13,16,19],[6,8,9,11,12,14,15,17,18,20]] => [[1,6],[2,8],[3,9],[4,11],[5,12],[7,14],[10,15],[13,17],[16,18],[19,20]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,4,6,7,9,13,16,19],[5,8,10,11,12,14,15,17,18,20]] => [[1,5],[2,8],[3,10],[4,11],[6,12],[7,14],[9,15],[13,17],[16,18],[19,20]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,6,9,10,12,16,19],[5,7,8,11,13,14,15,17,18,20]] => [[1,5],[2,7],[3,8],[4,11],[6,13],[9,14],[10,15],[12,17],[16,18],[19,20]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[1,2,3,5,6,8,9,11,16,19],[4,7,10,12,13,14,15,17,18,20]] => [[1,4],[2,7],[3,10],[5,12],[6,13],[8,14],[9,15],[11,17],[16,18],[19,20]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[1,2,3,4,6,9,12,13,15,19],[5,7,8,10,11,14,16,17,18,20]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,14],[12,16],[13,17],[15,18],[19,20]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[1,2,3,5,8,9,10,12,15,19],[4,6,7,11,13,14,16,17,18,20]] => [[1,4],[2,6],[3,7],[5,11],[8,13],[9,14],[10,16],[12,17],[15,18],[19,20]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,5,8,9,11,12,14,19],[4,6,7,10,13,15,16,17,18,20]] => [[1,4],[2,6],[3,7],[5,10],[8,13],[9,15],[11,16],[12,17],[14,18],[19,20]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,7,9,12,15,19],[3,8,10,11,13,14,16,17,18,20]] => [[1,3],[2,8],[4,10],[5,11],[6,13],[7,14],[9,16],[12,17],[15,18],[19,20]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,8,9,11,15,19],[3,7,10,12,13,14,16,17,18,20]] => [[1,3],[2,7],[4,10],[5,12],[6,13],[8,14],[9,16],[11,17],[15,18],[19,20]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,4,5,6,8,11,12,14,19],[3,7,9,10,13,15,16,17,18,20]] => [[1,3],[2,7],[4,9],[5,10],[6,13],[8,15],[11,16],[12,17],[14,18],[19,20]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[1,2,4,5,7,8,9,11,14,19],[3,6,10,12,13,15,16,17,18,20]] => [[1,3],[2,6],[4,10],[5,12],[7,13],[8,15],[9,16],[11,17],[14,18],[19,20]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[1,2,4,5,7,8,10,11,13,19],[3,6,9,12,14,15,16,17,18,20]] => [[1,3],[2,6],[4,9],[5,12],[7,14],[8,15],[10,16],[11,17],[13,18],[19,20]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[1,2,3,4,6,9,12,15,16,18],[5,7,8,10,11,13,14,17,19,20]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,13],[12,14],[15,17],[16,19],[18,20]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,5,8,9,11,15,16,18],[4,6,7,10,12,13,14,17,19,20]] => [[1,4],[2,6],[3,7],[5,10],[8,12],[9,13],[11,14],[15,17],[16,19],[18,20]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,6,8,11,15,16,18],[3,7,9,10,12,13,14,17,19,20]] => [[1,3],[2,7],[4,9],[5,10],[6,12],[8,13],[11,14],[15,17],[16,19],[18,20]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,7,8,10,15,16,18],[3,6,9,11,12,13,14,17,19,20]] => [[1,3],[2,6],[4,9],[5,11],[7,12],[8,13],[10,14],[15,17],[16,19],[18,20]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8,11,12,13,15,18],[4,6,7,9,10,14,16,17,19,20]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,14],[12,16],[13,17],[15,19],[18,20]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,4,5,7,11,12,13,15,18],[3,6,8,9,10,14,16,17,19,20]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,14],[12,16],[13,17],[15,19],[18,20]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,2,3,5,8,11,12,14,15,17],[4,6,7,9,10,13,16,18,19,20]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,13],[12,16],[14,18],[15,19],[17,20]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,2,4,5,7,11,12,14,15,17],[3,6,8,9,10,13,16,18,19,20]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,13],[12,16],[14,18],[15,19],[17,20]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[1,2,4,7,8,9,10,12,15,18],[3,5,6,11,13,14,16,17,19,20]] => [[1,3],[2,5],[4,6],[7,11],[8,13],[9,14],[10,16],[12,17],[15,19],[18,20]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[1,2,4,7,8,9,11,12,14,18],[3,5,6,10,13,15,16,17,19,20]] => [[1,3],[2,5],[4,6],[7,10],[8,13],[9,15],[11,16],[12,17],[14,19],[18,20]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[1,2,4,7,8,9,11,14,15,17],[3,5,6,10,12,13,16,18,19,20]] => [[1,3],[2,5],[4,6],[7,10],[8,12],[9,13],[11,16],[14,18],[15,19],[17,20]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,4,7,8,10,11,12,14,17],[3,5,6,9,13,15,16,18,19,20]] => [[1,3],[2,5],[4,6],[7,9],[8,13],[10,15],[11,16],[12,18],[14,19],[17,20]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,4,7,8,10,11,13,14,16],[3,5,6,9,12,15,17,18,19,20]] => [[1,3],[2,5],[4,6],[7,9],[8,12],[10,15],[11,17],[13,18],[14,19],[16,20]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,3,4,5,6,7,9,12,15,18],[2,8,10,11,13,14,16,17,19,20]] => [[1,2],[3,8],[4,10],[5,11],[6,13],[7,14],[9,16],[12,17],[15,19],[18,20]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[1,3,4,5,7,8,9,11,14,18],[2,6,10,12,13,15,16,17,19,20]] => [[1,2],[3,6],[4,10],[5,12],[7,13],[8,15],[9,16],[11,17],[14,19],[18,20]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[1,3,4,5,7,8,10,11,13,18],[2,6,9,12,14,15,16,17,19,20]] => [[1,2],[3,6],[4,9],[5,12],[7,14],[8,15],[10,16],[11,17],[13,19],[18,20]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[1,3,4,5,7,8,10,14,15,17],[2,6,9,11,12,13,16,18,19,20]] => [[1,2],[3,6],[4,9],[5,11],[7,12],[8,13],[10,16],[14,18],[15,19],[17,20]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,3,4,5,7,10,11,12,14,17],[2,6,8,9,13,15,16,18,19,20]] => [[1,2],[3,6],[4,8],[5,9],[7,13],[10,15],[11,16],[12,18],[14,19],[17,20]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,7,10,11,13,14,16],[2,6,8,9,12,15,17,18,19,20]] => [[1,2],[3,6],[4,8],[5,9],[7,12],[10,15],[11,17],[13,18],[14,19],[16,20]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[1,3,4,6,7,8,9,11,14,17],[2,5,10,12,13,15,16,18,19,20]] => [[1,2],[3,5],[4,10],[6,12],[7,13],[8,15],[9,16],[11,18],[14,19],[17,20]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[1,3,4,6,7,9,10,11,13,16],[2,5,8,12,14,15,17,18,19,20]] => [[1,2],[3,5],[4,8],[6,12],[7,14],[9,15],[10,17],[11,18],[13,19],[16,20]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[1,3,4,6,7,9,10,12,13,15],[2,5,8,11,14,16,17,18,19,20]] => [[1,2],[3,5],[4,8],[6,11],[7,14],[9,16],[10,17],[12,18],[13,19],[15,20]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,4,5,6,8,11,14,17,20,23],[7,9,10,12,13,15,16,18,19,21,22,24]] => [[1,7],[2,9],[3,10],[4,12],[5,13],[6,15],[8,16],[11,18],[14,19],[17,21],[20,22],[23,24]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,4,5,7,10,11,13,17,20,23],[6,8,9,12,14,15,16,18,19,21,22,24]] => [[1,6],[2,8],[3,9],[4,12],[5,14],[7,15],[10,16],[11,18],[13,19],[17,21],[20,22],[23,24]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,5,7,10,13,14,16,20,23],[6,8,9,11,12,15,17,18,19,21,22,24]] => [[1,6],[2,8],[3,9],[4,11],[5,12],[7,15],[10,17],[13,18],[14,19],[16,21],[20,22],[23,24]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,6,9,10,11,13,16,20,23],[5,7,8,12,14,15,17,18,19,21,22,24]] => [[1,5],[2,7],[3,8],[4,12],[6,14],[9,15],[10,17],[11,18],[13,19],[16,21],[20,22],[23,24]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[1,2,3,4,6,9,10,12,13,15,20,23],[5,7,8,11,14,16,17,18,19,21,22,24]] => [[1,5],[2,7],[3,8],[4,11],[6,14],[9,16],[10,17],[12,18],[13,19],[15,21],[20,22],[23,24]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[1,2,3,4,5,7,10,13,16,17,19,23],[6,8,9,11,12,14,15,18,20,21,22,24]] => [[1,6],[2,8],[3,9],[4,11],[5,12],[7,14],[10,15],[13,18],[16,20],[17,21],[19,22],[23,24]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[1,2,3,4,6,9,10,12,16,17,19,23],[5,7,8,11,13,14,15,18,20,21,22,24]] => [[1,5],[2,7],[3,8],[4,11],[6,13],[9,14],[10,15],[12,18],[16,20],[17,21],[19,22],[23,24]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[1,2,3,4,6,9,12,13,14,16,19,23],[5,7,8,10,11,15,17,18,20,21,22,24]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,15],[12,17],[13,18],[14,20],[16,21],[19,22],[23,24]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,9,12,13,15,16,18,23],[5,7,8,10,11,14,17,19,20,21,22,24]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,14],[12,17],[13,19],[15,20],[16,21],[18,22],[23,24]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [[1,2,3,5,8,9,10,11,13,16,19,23],[4,6,7,12,14,15,17,18,20,21,22,24]] => [[1,4],[2,6],[3,7],[5,12],[8,14],[9,15],[10,17],[11,18],[13,20],[16,21],[19,22],[23,24]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[1,2,3,5,8,9,10,12,13,15,19,23],[4,6,7,11,14,16,17,18,20,21,22,24]] => [[1,4],[2,6],[3,7],[5,11],[8,14],[9,16],[10,17],[12,18],[13,20],[15,21],[19,22],[23,24]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,5,8,9,10,12,15,16,18,23],[4,6,7,11,13,14,17,19,20,21,22,24]] => [[1,4],[2,6],[3,7],[5,11],[8,13],[9,14],[10,17],[12,19],[15,20],[16,21],[18,22],[23,24]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[1,2,3,5,8,9,11,12,13,15,18,23],[4,6,7,10,14,16,17,19,20,21,22,24]] => [[1,4],[2,6],[3,7],[5,10],[8,14],[9,16],[11,17],[12,19],[13,20],[15,21],[18,22],[23,24]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,5,8,9,11,12,14,15,17,23],[4,6,7,10,13,16,18,19,20,21,22,24]] => [[1,4],[2,6],[3,7],[5,10],[8,13],[9,16],[11,18],[12,19],[14,20],[15,21],[17,22],[23,24]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,7,8,10,13,16,19,23],[3,9,11,12,14,15,17,18,20,21,22,24]] => [[1,3],[2,9],[4,11],[5,12],[6,14],[7,15],[8,17],[10,18],[13,20],[16,21],[19,22],[23,24]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,7,9,10,12,16,19,23],[3,8,11,13,14,15,17,18,20,21,22,24]] => [[1,3],[2,8],[4,11],[5,13],[6,14],[7,15],[9,17],[10,18],[12,20],[16,21],[19,22],[23,24]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,7,9,12,13,15,19,23],[3,8,10,11,14,16,17,18,20,21,22,24]] => [[1,3],[2,8],[4,10],[5,11],[6,14],[7,16],[9,17],[12,18],[13,20],[15,21],[19,22],[23,24]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,8,9,10,12,15,19,23],[3,7,11,13,14,16,17,18,20,21,22,24]] => [[1,3],[2,7],[4,11],[5,13],[6,14],[8,16],[9,17],[10,18],[12,20],[15,21],[19,22],[23,24]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,8,9,11,12,14,19,23],[3,7,10,13,15,16,17,18,20,21,22,24]] => [[1,3],[2,7],[4,10],[5,13],[6,15],[8,16],[9,17],[11,18],[12,20],[14,21],[19,22],[23,24]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,4,5,6,7,9,12,15,16,18,23],[3,8,10,11,13,14,17,19,20,21,22,24]] => [[1,3],[2,8],[4,10],[5,11],[6,13],[7,14],[9,17],[12,19],[15,20],[16,21],[18,22],[23,24]]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,4,5,6,8,9,11,15,16,18,23],[3,7,10,12,13,14,17,19,20,21,22,24]] => [[1,3],[2,7],[4,10],[5,12],[6,13],[8,14],[9,17],[11,19],[15,20],[16,21],[18,22],[23,24]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[1,2,4,5,6,8,11,12,13,15,18,23],[3,7,9,10,14,16,17,19,20,21,22,24]] => [[1,3],[2,7],[4,9],[5,10],[6,14],[8,16],[11,17],[12,19],[13,20],[15,21],[18,22],[23,24]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[1,2,4,5,6,8,11,12,14,15,17,23],[3,7,9,10,13,16,18,19,20,21,22,24]] => [[1,3],[2,7],[4,9],[5,10],[6,13],[8,16],[11,18],[12,19],[14,20],[15,21],[17,22],[23,24]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [[1,2,4,5,7,8,9,10,12,15,18,23],[3,6,11,13,14,16,17,19,20,21,22,24]] => [[1,3],[2,6],[4,11],[5,13],[7,14],[8,16],[9,17],[10,19],[12,20],[15,21],[18,22],[23,24]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [[1,2,4,5,7,8,9,11,12,14,18,23],[3,6,10,13,15,16,17,19,20,21,22,24]] => [[1,3],[2,6],[4,10],[5,13],[7,15],[8,16],[9,17],[11,19],[12,20],[14,21],[18,22],[23,24]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [[1,2,4,5,7,8,9,11,14,15,17,23],[3,6,10,12,13,16,18,19,20,21,22,24]] => [[1,3],[2,6],[4,10],[5,12],[7,13],[8,16],[9,18],[11,19],[14,20],[15,21],[17,22],[23,24]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [[1,2,4,5,7,8,10,11,12,14,17,23],[3,6,9,13,15,16,18,19,20,21,22,24]] => [[1,3],[2,6],[4,9],[5,13],[7,15],[8,16],[10,18],[11,19],[12,20],[14,21],[17,22],[23,24]]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [[1,2,4,5,7,8,10,11,13,14,16,23],[3,6,9,12,15,17,18,19,20,21,22,24]] => [[1,3],[2,6],[4,9],[5,12],[7,15],[8,17],[10,18],[11,19],[13,20],[14,21],[16,22],[23,24]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[1,2,3,4,5,7,10,13,16,19,20,22],[6,8,9,11,12,14,15,17,18,21,23,24]] => [[1,6],[2,8],[3,9],[4,11],[5,12],[7,14],[10,15],[13,17],[16,18],[19,21],[20,23],[22,24]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[1,2,3,4,6,9,10,12,16,19,20,22],[5,7,8,11,13,14,15,17,18,21,23,24]] => [[1,5],[2,7],[3,8],[4,11],[6,13],[9,14],[10,15],[12,17],[16,18],[19,21],[20,23],[22,24]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,6,9,12,13,15,19,20,22],[5,7,8,10,11,14,16,17,18,21,23,24]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,14],[12,16],[13,17],[15,18],[19,21],[20,23],[22,24]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,5,8,9,10,12,15,19,20,22],[4,6,7,11,13,14,16,17,18,21,23,24]] => [[1,4],[2,6],[3,7],[5,11],[8,13],[9,14],[10,16],[12,17],[15,18],[19,21],[20,23],[22,24]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,5,8,9,11,12,14,19,20,22],[4,6,7,10,13,15,16,17,18,21,23,24]] => [[1,4],[2,6],[3,7],[5,10],[8,13],[9,15],[11,16],[12,17],[14,18],[19,21],[20,23],[22,24]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,6,7,9,12,15,19,20,22],[3,8,10,11,13,14,16,17,18,21,23,24]] => [[1,3],[2,8],[4,10],[5,11],[6,13],[7,14],[9,16],[12,17],[15,18],[19,21],[20,23],[22,24]]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,6,8,9,11,15,19,20,22],[3,7,10,12,13,14,16,17,18,21,23,24]] => [[1,3],[2,7],[4,10],[5,12],[6,13],[8,14],[9,16],[11,17],[15,18],[19,21],[20,23],[22,24]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,6,8,11,12,14,19,20,22],[3,7,9,10,13,15,16,17,18,21,23,24]] => [[1,3],[2,7],[4,9],[5,10],[6,13],[8,15],[11,16],[12,17],[14,18],[19,21],[20,23],[22,24]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,7,8,9,11,14,19,20,22],[3,6,10,12,13,15,16,17,18,21,23,24]] => [[1,3],[2,6],[4,10],[5,12],[7,13],[8,15],[9,16],[11,17],[14,18],[19,21],[20,23],[22,24]]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,7,8,10,11,13,19,20,22],[3,6,9,12,14,15,16,17,18,21,23,24]] => [[1,3],[2,6],[4,9],[5,12],[7,14],[8,15],[10,16],[11,17],[13,18],[19,21],[20,23],[22,24]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,3,4,6,9,12,15,16,17,19,22],[5,7,8,10,11,13,14,18,20,21,23,24]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,13],[12,14],[15,18],[16,20],[17,21],[19,23],[22,24]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8,9,11,15,16,17,19,22],[4,6,7,10,12,13,14,18,20,21,23,24]] => [[1,4],[2,6],[3,7],[5,10],[8,12],[9,13],[11,14],[15,18],[16,20],[17,21],[19,23],[22,24]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,4,5,6,8,11,15,16,17,19,22],[3,7,9,10,12,13,14,18,20,21,23,24]] => [[1,3],[2,7],[4,9],[5,10],[6,12],[8,13],[11,14],[15,18],[16,20],[17,21],[19,23],[22,24]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,4,5,7,8,10,15,16,17,19,22],[3,6,9,11,12,13,14,18,20,21,23,24]] => [[1,3],[2,6],[4,9],[5,11],[7,12],[8,13],[10,14],[15,18],[16,20],[17,21],[19,23],[22,24]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,2,3,4,6,9,12,15,16,18,19,21],[5,7,8,10,11,13,14,17,20,22,23,24]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,13],[12,14],[15,17],[16,20],[18,22],[19,23],[21,24]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,2,3,5,8,9,11,15,16,18,19,21],[4,6,7,10,12,13,14,17,20,22,23,24]] => [[1,4],[2,6],[3,7],[5,10],[8,12],[9,13],[11,14],[15,17],[16,20],[18,22],[19,23],[21,24]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,2,4,5,6,8,11,15,16,18,19,21],[3,7,9,10,12,13,14,17,20,22,23,24]] => [[1,3],[2,7],[4,9],[5,10],[6,12],[8,13],[11,14],[15,17],[16,20],[18,22],[19,23],[21,24]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[1,2,4,5,7,8,10,15,16,18,19,21],[3,6,9,11,12,13,14,17,20,22,23,24]] => [[1,3],[2,6],[4,9],[5,11],[7,12],[8,13],[10,14],[15,17],[16,20],[18,22],[19,23],[21,24]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,5,8,11,12,13,14,16,19,22],[4,6,7,9,10,15,17,18,20,21,23,24]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,15],[12,17],[13,18],[14,20],[16,21],[19,23],[22,24]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[1,2,4,5,7,11,12,13,14,16,19,22],[3,6,8,9,10,15,17,18,20,21,23,24]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,15],[12,17],[13,18],[14,20],[16,21],[19,23],[22,24]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,5,8,11,12,13,15,16,18,22],[4,6,7,9,10,14,17,19,20,21,23,24]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,14],[12,17],[13,19],[15,20],[16,21],[18,23],[22,24]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[1,2,4,5,7,11,12,13,15,16,18,22],[3,6,8,9,10,14,17,19,20,21,23,24]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,14],[12,17],[13,19],[15,20],[16,21],[18,23],[22,24]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[1,2,3,5,8,11,12,13,15,18,19,21],[4,6,7,9,10,14,16,17,20,22,23,24]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,14],[12,16],[13,17],[15,20],[18,22],[19,23],[21,24]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[1,2,4,5,7,11,12,13,15,18,19,21],[3,6,8,9,10,14,16,17,20,22,23,24]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,14],[12,16],[13,17],[15,20],[18,22],[19,23],[21,24]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,3,5,8,11,12,14,15,16,18,21],[4,6,7,9,10,13,17,19,20,22,23,24]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,13],[12,17],[14,19],[15,20],[16,22],[18,23],[21,24]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,4,5,7,11,12,14,15,16,18,21],[3,6,8,9,10,13,17,19,20,22,23,24]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,13],[12,17],[14,19],[15,20],[16,22],[18,23],[21,24]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,8,11,12,14,15,17,18,20],[4,6,7,9,10,13,16,19,21,22,23,24]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,13],[12,16],[14,19],[15,21],[17,22],[18,23],[20,24]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,4,5,7,11,12,14,15,17,18,20],[3,6,8,9,10,13,16,19,21,22,23,24]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,13],[12,16],[14,19],[15,21],[17,22],[18,23],[20,24]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[1,2,4,7,8,9,10,11,13,16,19,22],[3,5,6,12,14,15,17,18,20,21,23,24]] => [[1,3],[2,5],[4,6],[7,12],[8,14],[9,15],[10,17],[11,18],[13,20],[16,21],[19,23],[22,24]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[1,2,4,7,8,9,10,12,13,15,19,22],[3,5,6,11,14,16,17,18,20,21,23,24]] => [[1,3],[2,5],[4,6],[7,11],[8,14],[9,16],[10,17],[12,18],[13,20],[15,21],[19,23],[22,24]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[1,2,4,7,8,9,10,12,15,16,18,22],[3,5,6,11,13,14,17,19,20,21,23,24]] => [[1,3],[2,5],[4,6],[7,11],[8,13],[9,14],[10,17],[12,19],[15,20],[16,21],[18,23],[22,24]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[1,2,4,7,8,9,11,12,13,15,18,22],[3,5,6,10,14,16,17,19,20,21,23,24]] => [[1,3],[2,5],[4,6],[7,10],[8,14],[9,16],[11,17],[12,19],[13,20],[15,21],[18,23],[22,24]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[1,2,4,7,8,9,11,12,14,15,17,22],[3,5,6,10,13,16,18,19,20,21,23,24]] => [[1,3],[2,5],[4,6],[7,10],[8,13],[9,16],[11,18],[12,19],[14,20],[15,21],[17,23],[22,24]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[1,2,4,7,8,9,10,12,15,18,19,21],[3,5,6,11,13,14,16,17,20,22,23,24]] => [[1,3],[2,5],[4,6],[7,11],[8,13],[9,14],[10,16],[12,17],[15,20],[18,22],[19,23],[21,24]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[1,2,4,7,8,9,11,12,14,18,19,21],[3,5,6,10,13,15,16,17,20,22,23,24]] => [[1,3],[2,5],[4,6],[7,10],[8,13],[9,15],[11,16],[12,17],[14,20],[18,22],[19,23],[21,24]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,4,7,8,9,11,14,15,16,18,21],[3,5,6,10,12,13,17,19,20,22,23,24]] => [[1,3],[2,5],[4,6],[7,10],[8,12],[9,13],[11,17],[14,19],[15,20],[16,22],[18,23],[21,24]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,4,7,8,9,11,14,15,17,18,20],[3,5,6,10,12,13,16,19,21,22,23,24]] => [[1,3],[2,5],[4,6],[7,10],[8,12],[9,13],[11,16],[14,19],[15,21],[17,22],[18,23],[20,24]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[1,2,4,7,8,10,11,12,13,15,18,21],[3,5,6,9,14,16,17,19,20,22,23,24]] => [[1,3],[2,5],[4,6],[7,9],[8,14],[10,16],[11,17],[12,19],[13,20],[15,22],[18,23],[21,24]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[1,2,4,7,8,10,11,12,14,15,17,21],[3,5,6,9,13,16,18,19,20,22,23,24]] => [[1,3],[2,5],[4,6],[7,9],[8,13],[10,16],[11,18],[12,19],[14,20],[15,22],[17,23],[21,24]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[1,2,4,7,8,10,11,12,14,17,18,20],[3,5,6,9,13,15,16,19,21,22,23,24]] => [[1,3],[2,5],[4,6],[7,9],[8,13],[10,15],[11,16],[12,19],[14,21],[17,22],[18,23],[20,24]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[1,2,4,7,8,10,11,13,14,15,17,20],[3,5,6,9,12,16,18,19,21,22,23,24]] => [[1,3],[2,5],[4,6],[7,9],[8,12],[10,16],[11,18],[13,19],[14,21],[15,22],[17,23],[20,24]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[1,2,4,7,8,10,11,13,14,16,17,19],[3,5,6,9,12,15,18,20,21,22,23,24]] => [[1,3],[2,5],[4,6],[7,9],[8,12],[10,15],[11,18],[13,20],[14,21],[16,22],[17,23],[19,24]]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [[1,3,4,5,7,8,9,11,12,14,18,22],[2,6,10,13,15,16,17,19,20,21,23,24]] => [[1,2],[3,6],[4,10],[5,13],[7,15],[8,16],[9,17],[11,19],[12,20],[14,21],[18,23],[22,24]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[1,3,4,5,7,8,9,11,14,15,17,22],[2,6,10,12,13,16,18,19,20,21,23,24]] => [[1,2],[3,6],[4,10],[5,12],[7,13],[8,16],[9,18],[11,19],[14,20],[15,21],[17,23],[22,24]]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [[1,3,4,5,7,8,10,11,12,14,17,22],[2,6,9,13,15,16,18,19,20,21,23,24]] => [[1,2],[3,6],[4,9],[5,13],[7,15],[8,16],[10,18],[11,19],[12,20],[14,21],[17,23],[22,24]]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [[1,3,4,5,7,8,10,11,13,14,16,22],[2,6,9,12,15,17,18,19,20,21,23,24]] => [[1,2],[3,6],[4,9],[5,12],[7,15],[8,17],[10,18],[11,19],[13,20],[14,21],[16,23],[22,24]]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [[1,3,4,5,7,8,10,11,13,18,19,21],[2,6,9,12,14,15,16,17,20,22,23,24]] => [[1,2],[3,6],[4,9],[5,12],[7,14],[8,15],[10,16],[11,17],[13,20],[18,22],[19,23],[21,24]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,3,4,5,7,8,10,14,15,16,18,21],[2,6,9,11,12,13,17,19,20,22,23,24]] => [[1,2],[3,6],[4,9],[5,11],[7,12],[8,13],[10,17],[14,19],[15,20],[16,22],[18,23],[21,24]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,7,8,10,14,15,17,18,20],[2,6,9,11,12,13,16,19,21,22,23,24]] => [[1,2],[3,6],[4,9],[5,11],[7,12],[8,13],[10,16],[14,19],[15,21],[17,22],[18,23],[20,24]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[1,3,4,5,7,10,11,12,14,15,17,21],[2,6,8,9,13,16,18,19,20,22,23,24]] => [[1,2],[3,6],[4,8],[5,9],[7,13],[10,16],[11,18],[12,19],[14,20],[15,22],[17,23],[21,24]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,7,10,11,12,14,17,18,20],[2,6,8,9,13,15,16,19,21,22,23,24]] => [[1,2],[3,6],[4,8],[5,9],[7,13],[10,15],[11,16],[12,19],[14,21],[17,22],[18,23],[20,24]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[1,3,4,5,7,10,11,13,14,15,17,20],[2,6,8,9,12,16,18,19,21,22,23,24]] => [[1,2],[3,6],[4,8],[5,9],[7,12],[10,16],[11,18],[13,19],[14,21],[15,22],[17,23],[20,24]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[1,3,4,5,7,10,11,13,14,16,17,19],[2,6,8,9,12,15,18,20,21,22,23,24]] => [[1,2],[3,6],[4,8],[5,9],[7,12],[10,15],[11,18],[13,20],[14,21],[16,22],[17,23],[19,24]]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [[1,3,4,6,7,8,10,11,12,14,17,21],[2,5,9,13,15,16,18,19,20,22,23,24]] => [[1,2],[3,5],[4,9],[6,13],[7,15],[8,16],[10,18],[11,19],[12,20],[14,22],[17,23],[21,24]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[1,3,4,6,7,9,10,12,13,15,16,18],[2,5,8,11,14,17,19,20,21,22,23,24]] => [[1,2],[3,5],[4,8],[6,11],[7,14],[9,17],[10,19],[12,20],[13,21],[15,22],[16,23],[18,24]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,8],[5,10],[7,12],[9,14],[11,16],[13,18],[15,19],[17,20]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,11],[6,13],[8,15],[10,16],[12,17],[14,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [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]] => [[1,2],[3,8],[4,10],[5,12],[6,14],[7,16],[9,17],[11,18],[13,19],[15,20]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,6,9,11,13,15],[2,7,8,10,12,14,16,17,18]] => [[1,2],[3,7],[4,8],[5,10],[6,12],[9,14],[11,16],[13,17],[15,18]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [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]] => [[1,2],[3,7],[4,9],[5,11],[6,13],[8,15],[10,17],[12,18],[14,19],[16,20]]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,10,13],[9,11,12,14,15,16,17,18,19,20]] => [[1,9],[2,11],[3,12],[4,14],[5,15],[6,16],[7,17],[8,18],[10,19],[13,20]]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [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]] => [[1,9],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[10,19],[18,20]]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [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]] => [[1,11],[2,12],[3,13],[4,14],[5,15],[6,16],[7,17],[8,18],[9,19],[10,21],[20,22]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,10,13],[3,11,12,14,15,16,17,18,19,20]] => [[1,3],[2,11],[4,12],[5,14],[6,15],[7,16],[8,17],[9,18],[10,19],[13,20]]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,9,10,18],[8,11,12,13,14,15,16,17,19,20]] => [[1,8],[2,11],[3,12],[4,13],[5,14],[6,15],[7,16],[9,17],[10,19],[18,20]]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,11,18],[9,10,12,13,14,15,16,17,19,20]] => [[1,9],[2,10],[3,12],[4,13],[5,14],[6,15],[7,16],[8,17],[11,19],[18,20]]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,9,10,11,22],[12,13,14,15,16,17,18,19,20,21,23,24]] => [[1,12],[2,13],[3,14],[4,15],[5,16],[6,17],[7,18],[8,19],[9,20],[10,21],[11,23],[22,24]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,19],[18,21],[20,22]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,17],[16,19],[18,20]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12],[13,15],[14,17],[16,18]]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [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]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,13],[12,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [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]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [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]] => [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12],[13,14],[15,16],[17,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12],[13,14],[15,16],[17,18]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12],[13,16],[14,17],[15,18]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,4,6,8,11,12,13,14],[3,5,7,9,10,15,16,17,18]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,15],[12,16],[13,17],[14,18]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,9,10,11,12,14],[3,5,7,8,13,15,16,17,18]] => [[1,3],[2,5],[4,7],[6,8],[9,13],[10,15],[11,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,7,8,9,10,12,14],[3,5,6,11,13,15,16,17,18]] => [[1,3],[2,5],[4,6],[7,11],[8,13],[9,15],[10,16],[12,17],[14,18]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [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]] => [[1,3],[2,4],[5,9],[6,11],[7,13],[8,15],[10,16],[12,17],[14,18]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,3,5,6,7,9,11,14,16],[2,4,8,10,12,13,15,17,18]] => [[1,2],[3,4],[5,8],[6,10],[7,12],[9,13],[11,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [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]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,13],[12,15],[14,17],[16,18]]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,10,12],[8,11,13,14,15,16,17,18,19,20]] => [[1,8],[2,11],[3,13],[4,14],[5,15],[6,16],[7,17],[9,18],[10,19],[12,20]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,7,9,11,13,15,17],[5,6,8,10,12,14,16,18,19,20]] => [[1,5],[2,6],[3,8],[4,10],[7,12],[9,14],[11,16],[13,18],[15,19],[17,20]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [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]] => [[1,2],[3,6],[4,7],[5,9],[8,10],[11,13],[12,14],[15,17],[16,18]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,6,12,13,14,15],[7,8,9,10,11,16,17,18,19,20]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,16],[12,17],[13,18],[14,19],[15,20]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,9],[8,10],[11,13],[12,14],[15,17],[16,18]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,8],[5,10],[7,12],[9,14],[11,16],[13,18],[15,20],[17,21],[19,22]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,14],[12,15],[13,18],[16,19],[17,20]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[1,3,5,6,7,8,9,12,16],[2,4,10,11,13,14,15,17,18]] => [[1,2],[3,4],[5,10],[6,11],[7,13],[8,14],[9,15],[12,17],[16,18]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[1,3,4,5,7,9,10,12,16],[2,6,8,11,13,14,15,17,18]] => [[1,2],[3,6],[4,8],[5,11],[7,13],[9,14],[10,15],[12,17],[16,18]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[1,3,5,7,8,9,10,12,16],[2,4,6,11,13,14,15,17,18]] => [[1,2],[3,4],[5,6],[7,11],[8,13],[9,14],[10,15],[12,17],[16,18]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[1,3,5,6,7,8,9,14,16],[2,4,10,11,12,13,15,17,18]] => [[1,2],[3,4],[5,10],[6,11],[7,12],[8,13],[9,15],[14,17],[16,18]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[1,3,5,7,8,9,10,14,16],[2,4,6,11,12,13,15,17,18]] => [[1,2],[3,4],[5,6],[7,11],[8,12],[9,13],[10,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,3,4,5,7,9,12,14,16],[2,6,8,10,11,13,15,17,18]] => [[1,2],[3,6],[4,8],[5,10],[7,11],[9,13],[12,15],[14,17],[16,18]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,3,5,6,7,9,12,14,16],[2,4,8,10,11,13,15,17,18]] => [[1,2],[3,4],[5,8],[6,10],[7,11],[9,13],[12,15],[14,17],[16,18]]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,12,13],[9,10,11,14,15,16,17,18,19,20]] => [[1,9],[2,10],[3,11],[4,14],[5,15],[6,16],[7,17],[8,18],[12,19],[13,20]]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,12,13,14],[8,9,10,11,15,16,17,18,19,20]] => [[1,8],[2,9],[3,10],[4,11],[5,15],[6,16],[7,17],[12,18],[13,19],[14,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,13],[6,14],[7,15],[8,16],[9,17],[10,18],[11,19],[12,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,7],[6,14],[8,15],[9,16],[10,17],[11,18],[12,19],[13,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12],[13,15],[14,16],[17,18]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12],[13,15],[14,16],[17,18]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,14],[12,15],[13,16],[17,18]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,4,5,8,9,12,15,16],[3,6,7,10,11,13,14,17,18]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,13],[12,14],[15,17],[16,18]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,13],[12,14],[15,17],[16,18]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12],[13,15],[14,16],[17,19],[18,20]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,5,8,9,13,14,17,18],[3,6,7,10,11,12,15,16,19,20]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12],[13,15],[14,16],[17,19],[18,20]]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,11],[8,12],[9,14],[10,15],[13,16],[17,18]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[1,2,4,5,8,9,12,13,17,18],[3,6,7,10,11,14,15,16,19,20]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,14],[12,15],[13,16],[17,19],[18,20]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[1,2,4,5,8,9,12,13,16,19],[3,6,7,10,11,14,15,17,18,20]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,14],[12,15],[13,17],[16,18],[19,20]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,4,5,8,11,12,13,16],[3,6,7,9,10,14,15,17,18]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,14],[12,15],[13,17],[16,18]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,5,8,9,12,15,16,19],[3,6,7,10,11,13,14,17,18,20]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,13],[12,14],[15,17],[16,18],[19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [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]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,13],[12,14],[15,17],[16,18],[19,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [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]] => [[1,3],[2,5],[4,6],[7,9],[8,10],[11,13],[12,14],[15,17],[16,18],[19,20]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,14],[15,16],[17,18]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,16],[14,17],[15,18],[19,20]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,6],[7,9],[8,12],[10,13],[11,14],[15,17],[16,18]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12],[13,15],[14,16],[17,19],[18,20]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12],[13,15],[14,16],[17,18]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,15],[14,16],[17,18]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,14],[15,17],[16,18]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,10],[11,13],[12,14],[15,17],[16,18]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[1,2,3,5,6,10,13,14,17],[4,7,8,9,11,12,15,16,18]] => [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12],[13,15],[14,16],[17,18]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12],[13,15],[14,16],[17,19],[18,20]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [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]] => [[1,4],[2,5],[3,8],[6,9],[7,12],[10,13],[11,15],[14,16],[17,19],[18,20]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [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]] => [[1,2],[3,5],[4,8],[6,9],[7,10],[11,13],[12,14],[15,17],[16,18]]
Map
reverse
Description
The reversal of a Dyck path.
This is the Dyck path obtained by reading the path backwards.
This is the Dyck path obtained by reading the path backwards.
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.
Map
conjugate
Description
Sends a standard tableau to its conjugate tableau.
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