Identifier
Mp00028: Dyck paths —reverse⟶ Dyck paths
Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Mp00084: Standard tableaux —conjugate⟶ Standard tableaux
Images
=>
Cc0005;cc-rep-0Cc0005;cc-rep-1Cc0007;cc-rep-2Cc0007;cc-rep-3
[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]] [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]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[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]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[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]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[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]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[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]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[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]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[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]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[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]] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[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]] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[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]] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[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]] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[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]] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[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]] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[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]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[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]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[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]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[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]] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[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]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[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]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[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]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[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]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[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]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[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]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[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]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[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]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[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]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[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]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[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]] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[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]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[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]] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[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]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[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]] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[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]] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[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]] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[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]] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[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]] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[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]] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[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]] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[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]] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[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]] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[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]] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[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]] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[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]] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[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]] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[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]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[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]] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[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]] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[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]] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[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]] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[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]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[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]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[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]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[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]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[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]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[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]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[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]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[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]] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[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]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[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]] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[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]] [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[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]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[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]] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[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]] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[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]] [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[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]] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[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]] [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[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]] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[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]] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[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]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[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]] [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[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]] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[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]] [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[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]] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[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]] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[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]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[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]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[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]] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[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]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[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]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[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]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[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]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[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]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[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]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[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]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[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]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[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]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[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]]
Map
reverse
Description
The reversal of a Dyck path.
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.
Map
conjugate
Description
Sends a standard tableau to its conjugate tableau.