Identifier
Mp00123:
Dyck paths
—Barnabei-Castronuovo involution⟶
Dyck paths
Mp00122: Dyck paths —Elizalde-Deutsch bijection⟶ Dyck paths
Mp00122: Dyck paths —Elizalde-Deutsch bijection⟶ Dyck paths
Images
[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] => [1,0,1,0]
[1,0,1,0,1,0] => [1,1,0,1,0,0] => [1,0,1,1,0,0]
[1,0,1,1,0,0] => [1,1,0,0,1,0] => [1,1,1,0,0,0]
[1,1,0,0,1,0] => [1,0,1,1,0,0] => [1,1,0,1,0,0]
[1,1,0,1,0,0] => [1,0,1,0,1,0] => [1,1,0,0,1,0]
[1,1,1,0,0,0] => [1,1,1,0,0,0] => [1,0,1,0,1,0]
[1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0]
[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]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0]
>>> Load all 3645 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[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] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[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] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[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] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[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] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[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] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[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] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[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] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[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] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[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] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[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] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[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] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[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] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[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] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[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] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[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] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[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] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[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] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[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] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[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] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[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] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[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] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[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] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[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] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[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] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[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] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[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] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[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] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[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] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[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] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[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] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[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] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[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] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[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] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[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] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[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] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[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] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[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] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[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] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[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] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[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] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[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] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[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] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[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] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[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] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[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] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[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] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[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] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[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] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[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] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[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] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[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] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[] => [] => []
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[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] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[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] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0]
[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] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[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] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[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] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[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] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[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] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[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] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[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] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[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] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[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] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[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] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[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] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[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] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[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] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
Map
Barnabei-Castronuovo involution
Description
The Barnabei-Castronuovo Schützenberger involution on Dyck paths.
The image of a Dyck path is obtained by reversing the canonical decompositions of the two halves of the Dyck path. More precisely, let $D_1, 1, D_2, 1, \dots$ be the canonical decomposition of the first half, then the canonical decomposition of the first half of the image is $\dots, 1, D_2, 1, D_1$.
The image of a Dyck path is obtained by reversing the canonical decompositions of the two halves of the Dyck path. More precisely, let $D_1, 1, D_2, 1, \dots$ be the canonical decomposition of the first half, then the canonical decomposition of the first half of the image is $\dots, 1, D_2, 1, D_1$.
Map
Elizalde-Deutsch bijection
Description
The Elizalde-Deutsch bijection on Dyck paths.
.Let $n$ be the length of the Dyck path. Consider the steps $1,n,2,n-1,\dots$ of $D$. When considering the $i$-th step its corresponding matching step has not yet been read, let the $i$-th step of the image of $D$ be an up step, otherwise let it be a down step.
.Let $n$ be the length of the Dyck path. Consider the steps $1,n,2,n-1,\dots$ of $D$. When considering the $i$-th step its corresponding matching step has not yet been read, let the $i$-th step of the image of $D$ be an up step, otherwise let it be a down step.
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