Identifier
Mp00122:
Dyck paths
—Elizalde-Deutsch bijection⟶
Dyck paths
Mp00199: Dyck paths —prime Dyck path⟶ Dyck paths
Mp00142: Dyck paths —promotion⟶ Dyck paths
Mp00199: Dyck paths —prime Dyck path⟶ Dyck paths
Mp00142: Dyck paths —promotion⟶ Dyck paths
Images
[1,0] => [1,0] => [1,1,0,0] => [1,0,1,0]
[1,0,1,0] => [1,1,0,0] => [1,1,1,0,0,0] => [1,0,1,1,0,0]
[1,1,0,0] => [1,0,1,0] => [1,1,0,1,0,0] => [1,0,1,0,1,0]
[1,0,1,0,1,0] => [1,1,0,0,1,0] => [1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0]
[1,0,1,1,0,0] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0]
[1,1,0,0,1,0] => [1,1,1,0,0,0] => [1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0]
[1,1,0,1,0,0] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0]
[1,1,1,0,0,0] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0] => [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] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0] => [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] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [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] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
>>> Load all 1445 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [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] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [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] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [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] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[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] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[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] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[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] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[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] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[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] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[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] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[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] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[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] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[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] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[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] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[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] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[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] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[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] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[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] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[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] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[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] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[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] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[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] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[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] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[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] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[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] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[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] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[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] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[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] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[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] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[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] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[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] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[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] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[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] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[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] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[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] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[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] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[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] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[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] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[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] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[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] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[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] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [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] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[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] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[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] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[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] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[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] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[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] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[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] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[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] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[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] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[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] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[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] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[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] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[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] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[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] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[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] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[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] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[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] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[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] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[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] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[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] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[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] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[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] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[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] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[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] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[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] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[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] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[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] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[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] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[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] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[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] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[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] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[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] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[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] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[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] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[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] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[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] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [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] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[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] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[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] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[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] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[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] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[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] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[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] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[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] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[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] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[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] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[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] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[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] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[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] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[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] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[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] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[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] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[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] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[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] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[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] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[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] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[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] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[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] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[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] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[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] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[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] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[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] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[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] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[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] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[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] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[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] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[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] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[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] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[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] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[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] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[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] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[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] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[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] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[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] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[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] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[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] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[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] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[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] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[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] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[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] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[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] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[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] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[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] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[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] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[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] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[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] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[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] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[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] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[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] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[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] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[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] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[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] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[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] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[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] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[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] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[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] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[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] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[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] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[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] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[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] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[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] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[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] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[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] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[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] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [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] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[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] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[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] => [1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[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] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[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] => [1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[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] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[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] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[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] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[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] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[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] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[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] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[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] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[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] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[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] => [1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[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] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[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] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[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] => [1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[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] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[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] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[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] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[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] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[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] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[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] => [1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[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] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[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] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[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] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[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] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[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] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[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] => [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[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] => [1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[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] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[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] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[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] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[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] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[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] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[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] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [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] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[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] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[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] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[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] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[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] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[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] => [1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[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] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[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] => [1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[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] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[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] => [1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[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] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[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] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[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] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[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] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[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] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[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] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[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] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[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] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[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] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[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] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[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] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[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] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[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] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[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] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[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] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[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] => [1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[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] => [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[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] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[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] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[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] => [1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[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] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[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] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[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] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[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] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[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] => [1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[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] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0] => [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] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[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] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[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] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[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] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[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] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[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] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[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] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[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] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[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] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[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] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[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] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[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] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[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] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[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] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[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] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[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] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[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] => [1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[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] => [1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[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] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[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] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[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] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[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] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[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] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[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] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[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] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[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] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[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] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[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] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[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] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[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] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[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] => [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[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] => [1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[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] => [1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[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] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[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] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [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] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[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] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[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] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[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] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[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] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[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] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[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] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[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] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[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] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[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] => [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[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] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[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] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[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] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[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] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[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] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[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] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[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] => [1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[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] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[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] => [1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[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] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[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] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[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] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[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] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[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] => [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[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] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [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] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[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] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[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] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[] => [] => [1,0] => [1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[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] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[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] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[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] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[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] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[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] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[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] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[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] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[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] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[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] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[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] => [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[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] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[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] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[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] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[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] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[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] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [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] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[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] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[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] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[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] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[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] => [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[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] => [1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[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] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]
[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] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[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] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
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,… 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,… 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.
Map
prime Dyck path
Description
Return the Dyck path obtained by adding an initial up and a final down step.
Map
promotion
Description
The promotion of the two-row standard Young tableau of a Dyck path.
Dyck paths of semilength n are in bijection with standard Young tableaux of shape (n2), see Mp00033to two-row standard tableau.
This map is the bijection on such standard Young tableaux given by Schützenberger's promotion. For definitions and details, see [1] and the references therein.
Dyck paths of semilength n are in bijection with standard Young tableaux of shape (n2), see Mp00033to two-row standard tableau.
This map is the bijection on such standard Young tableaux given by Schützenberger's promotion. For definitions and details, see [1] and the references therein.
searching the database
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