Identifier
-
Mp00032:
Dyck paths
—inverse zeta map⟶
Dyck paths
Mp00102: Dyck paths —rise composition⟶ Integer compositions
Mp00040: Integer compositions —to partition⟶ Integer partitions
St000716: Integer partitions ⟶ ℤ
Values
[1,0,1,0] => [1,1,0,0] => [2] => [2] => 21
[1,1,0,0] => [1,0,1,0] => [1,1] => [1,1] => 14
[1,0,1,0,1,0] => [1,1,1,0,0,0] => [3] => [3] => 56
[1,0,1,1,0,0] => [1,0,1,1,0,0] => [1,2] => [2,1] => 64
[1,1,0,0,1,0] => [1,1,0,1,0,0] => [2,1] => [2,1] => 64
[1,1,0,1,0,0] => [1,1,0,0,1,0] => [2,1] => [2,1] => 64
[1,1,1,0,0,0] => [1,0,1,0,1,0] => [1,1,1] => [1,1,1] => 14
[1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0] => [4] => [4] => 126
[1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,3] => [3,1] => 189
[1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0] => [2,2] => [2,2] => 90
[1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0] => [3,1] => [3,1] => 189
[1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0] => [1,1,2] => [2,1,1] => 70
[1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0] => [3,1] => [3,1] => 189
[1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0] => [1,2,1] => [2,1,1] => 70
[1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0] => [3,1] => [3,1] => 189
[1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0] => [2,2] => [2,2] => 90
[1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0] => [1,2,1] => [2,1,1] => 70
[1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1,1] => [2,1,1] => 70
[1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0] => [2,1,1] => [2,1,1] => 70
[1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0] => [2,1,1] => [2,1,1] => 70
[1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0] => [1,1,1,1] => [1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0] => [5] => [5] => 252
[1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,4] => [4,1] => 448
[1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [2,3] => [3,2] => 350
[1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4,1] => [4,1] => 448
[1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [1,1,3] => [3,1,1] => 216
[1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [3,2] => [3,2] => 350
[1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [1,2,2] => [2,2,1] => 126
[1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [4,1] => [4,1] => 448
[1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,3] => [3,2] => 350
[1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [1,3,1] => [3,1,1] => 216
[1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,1,2] => [2,2,1] => 126
[1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [2,2,1] => [2,2,1] => 126
[1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [3,1,1] => [3,1,1] => 216
[1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,2] => [2,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [4,1] => [4,1] => 448
[1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [1,3,1] => [3,1,1] => 216
[1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,2,1] => [2,2,1] => 126
[1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [3,1,1] => [3,1,1] => 216
[1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [1,1,2,1] => [2,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [4,1] => [4,1] => 448
[1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [1,3,1] => [3,1,1] => 216
[1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [3,2] => [3,2] => 350
[1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,2] => [3,2] => 350
[1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [1,2,2] => [2,2,1] => 126
[1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [2,2,1] => [2,2,1] => 126
[1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [3,1,1] => [3,1,1] => 216
[1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [2,1,2] => [2,2,1] => 126
[1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => [1,1,2,1] => [2,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [3,1,1] => [3,1,1] => 216
[1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [1,2,1,1] => [2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1,1] => [3,1,1] => 216
[1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [2,2,1] => [2,2,1] => 126
[1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [1,2,1,1] => [2,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,1,1] => [3,1,1] => 216
[1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [2,1,2] => [2,2,1] => 126
[1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [2,2,1] => [2,2,1] => 126
[1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [1,2,1,1] => [2,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [2,1,1,1] => [2,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [2,1,1,1] => [2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [2,1,1,1] => [2,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [2,1,1,1] => [2,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1] => [1,1,1,1,1] => 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] => [6] => [6] => 462
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,5] => [5,1] => 924
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,4] => [4,2] => 924
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1] => [5,1] => 924
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => [4,1,1] => 525
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [3,3] => [3,3] => 385
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [3,2,1] => 512
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1] => [5,1] => 924
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,4] => [4,2] => 924
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,4,1] => [4,1,1] => 525
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [3,2,1] => 512
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,3,1] => [3,2,1] => 512
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,1] => [4,1,1] => 525
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3] => [3,1,1,1] => 0
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [4,2] => [4,2] => 924
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [3,2,1] => 512
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [2,2,2] => 84
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,2,1] => [3,2,1] => 512
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,2,2] => [2,2,1,1] => 0
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [5,1] => [5,1] => 924
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [4,1,1] => 525
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,3] => [3,3] => 385
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,2] => [4,2] => 924
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3] => [3,2,1] => 512
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [3,2,1] => 512
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,1] => [4,1,1] => 525
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3] => [3,2,1] => 512
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,3,1] => [3,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [3,2,1] => 512
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,1,2] => [2,2,1,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [3,2,1] => 512
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2] => [2,2,2] => 84
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,2,1] => [2,2,1,1] => 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] => [4,1,1] => [4,1,1] => 525
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,3] => [3,2,1] => 512
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1] => [3,2,1] => 512
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,1,1] => [3,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,2] => [2,2,1,1] => 0
>>> Load all 3764 entries. <<<[1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,2,1] => [2,2,1,1] => 0
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,2,1,1] => [2,2,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,2] => [2,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => [5,1] => [5,1] => 924
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [4,1,1] => 525
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [3,2,1] => 512
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,1,1] => [4,1,1] => 525
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,3,1] => [3,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [3,2,1] => 512
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [2,2,1,1] => 0
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [4,1,1] => 525
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1] => [3,2,1] => 512
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,3,1,1] => [3,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [2,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,2,1,1] => [2,2,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1] => [2,1,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [5,1] => [5,1] => 924
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [4,1,1] => 525
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [3,2,1] => 512
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,1] => [4,1,1] => 525
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,3,1] => [3,1,1,1] => 0
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [4,2] => [4,2] => 924
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2] => [3,2,1] => 512
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,2] => [4,2] => 924
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3] => [3,3] => 385
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2] => [3,2,1] => 512
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2] => [2,2,2] => 84
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,1] => [3,2,1] => 512
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2] => [3,2,1] => 512
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,2] => [2,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [3,2,1] => 512
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => [2,2,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,1] => [4,1,1] => 525
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1] => [3,2,1] => 512
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,3,1,1] => [3,1,1,1] => 0
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,2] => [3,2,1] => 512
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2] => [2,2,2] => 84
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1] => [3,2,1] => 512
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,1,2] => [2,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [2,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,1,1] => [2,2,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,2] => [2,2,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1] => [2,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [4,1,1] => 525
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [3,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,2,1,1] => [2,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [4,1,1] => 525
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [3,1,1,1] => 0
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,1] => [3,2,1] => 512
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,1,2] => [3,2,1] => 512
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,1] => [2,2,1,1] => 0
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,2,1] => [2,2,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,2,1,1] => [2,1,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,1,1] => [4,1,1] => 525
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,3,1,1] => [3,1,1,1] => 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] => [3,1,2] => [3,2,1] => 512
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1] => [3,2,1] => 512
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,1,2] => [2,2,1,1] => 0
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,1] => [3,2,1] => 512
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2] => [3,2,1] => 512
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2] => [2,2,2] => 84
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,1] => [2,2,1,1] => 0
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,1] => [2,2,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,2] => [2,2,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,2,1] => [2,2,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,2,1,1] => [2,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1] => [2,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,1,1] => [2,2,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1] => [2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,1,2,1] => [2,2,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,1,1] => [2,2,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1] => [2,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [3,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,2] => [2,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,2,1] => [2,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1] => [2,2,1,1] => 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] => [1,2,1,1,1] => [2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1] => [2,1,1,1,1] => 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] => [2,1,1,1,1] => [2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1] => [2,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1] => [2,1,1,1,1] => 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] => [1,1,1,1,1,1] => [1,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7] => [7] => 792
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6] => [6,1] => 1728
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,5] => [5,2] => 2016
[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] => [6,1] => [6,1] => 1728
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5] => [5,1,1] => 1100
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4] => [4,3] => 1344
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,4] => [4,2,1] => 1386
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1] => [6,1] => 1728
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5] => [5,2] => 2016
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,5,1] => [5,1,1] => 1100
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,4] => [4,2,1] => 1386
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,4,1] => [4,2,1] => 1386
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,1] => [5,1,1] => 1100
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,4] => [4,1,1,1] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,3] => [4,3] => 1344
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,3,3] => [3,3,1] => 616
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,2,3] => [3,2,2] => 378
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,3,1] => [3,3,1] => 616
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,2,3] => [3,2,1,1] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1] => [6,1] => 1728
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,5,1] => [5,1,1] => 1100
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,4] => [4,3] => 1344
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2] => [5,2] => 2016
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4] => [4,2,1] => 1386
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1] => [4,2,1] => 1386
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,1] => [5,1,1] => 1100
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4] => [4,2,1] => 1386
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,4,1] => [4,1,1,1] => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,3] => [3,3,1] => 616
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,3] => [3,2,1,1] => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,3,1] => [3,3,1] => 616
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,2,3] => [3,2,2] => 378
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,2,3,1] => [3,2,1,1] => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,1] => [5,1,1] => 1100
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4] => [4,2,1] => 1386
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,4,1] => [4,2,1] => 1386
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,3] => [3,2,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,3] => [3,1,1,1,1] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [5,2] => [5,2] => 2016
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,4,2] => [4,2,1] => 1386
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,2] => [3,2,2] => 378
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,2,1] => [4,2,1] => 1386
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,3,2] => [3,2,1,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,2,2] => [3,2,2] => 378
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,2,2,2] => [2,2,2,1] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,2,1] => [4,2,1] => 1386
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,3,2] => [3,2,2] => 378
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1] => [3,2,1,1] => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,2,2] => [2,2,2,1] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,2,2] => [2,2,1,1,1] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,1] => [6,1] => 1728
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,5,1] => [5,1,1] => 1100
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,4,1] => [4,2,1] => 1386
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,1] => [5,1,1] => 1100
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,4,1] => [4,1,1,1] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,3] => [4,3] => 1344
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,3,3] => [3,3,1] => 616
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,2] => [5,2] => 2016
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4] => [4,3] => 1344
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2] => [4,2,1] => 1386
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,2,3] => [3,2,2] => 378
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,3,1] => [3,3,1] => 616
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2] => [4,2,1] => 1386
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,3] => [3,2,1,1] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,3,1] => [3,3,1] => 616
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,3,1] => [3,2,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,1,1] => [5,1,1] => 1100
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1] => [4,2,1] => 1386
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,3] => [3,3,1] => 616
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,2] => [3,2,2] => 378
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,1] => [4,2,1] => 1386
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,3] => [3,2,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,3] => [3,2,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,3,1] => [3,1,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,1,2] => [4,2,1] => 1386
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,3,1,2] => [3,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1,2] => [2,2,2,1] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,2,1,2] => [2,2,1,1,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,2,1] => [4,2,1] => 1386
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,1] => [3,2,1,1] => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,2] => [3,2,2] => 378
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,2,2] => [3,2,2] => 378
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,2,2] => [2,2,2,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,2,2] => [2,2,2,1] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,2,2,1] => [2,2,1,1,1] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,1,1] => [5,1,1] => 1100
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,3] => [3,3,1] => 616
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,2,1] => [4,2,1] => 1386
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,3] => [3,2,1,1] => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,3,1] => [3,3,1] => 616
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,1,2] => [4,2,1] => 1386
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3] => [3,2,2] => 378
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,3,1] => [3,2,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,1,1,3] => [3,2,1,1] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,3,1,1] => [3,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,2] => [2,2,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,2,1,2] => [2,2,2,1] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,2,1] => [2,2,1,1,1] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,1,2,2] => [2,2,2,1] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,3] => [3,2,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,2,1] => [2,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2] => [2,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,1] => [6,1] => 1728
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,5,1] => [5,1,1] => 1100
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,4,1] => [4,2,1] => 1386
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,1,1] => [5,1,1] => 1100
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,4,1] => [4,1,1,1] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,3,1] => [3,3,1] => 616
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,3,1] => [3,2,1,1] => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,1,1] => [5,1,1] => 1100
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,4,1] => [4,2,1] => 1386
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,3,1] => [3,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,2,1] => [4,2,1] => 1386
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,3,2,1] => [3,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,2,2,1] => [2,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,1,1] => [5,1,1] => 1100
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,3,1] => [3,3,1] => 616
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [4,1,2] => [4,2,1] => 1386
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,3,1] => [3,2,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,3,1,1] => [3,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,2,1] => [2,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [6,1] => [6,1] => 1728
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,5,1] => [5,1,1] => 1100
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,4,1] => [4,2,1] => 1386
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,1] => [5,1,1] => 1100
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,4,1] => [4,1,1,1] => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,3,1] => [3,3,1] => 616
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,3,1] => [3,2,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,1] => [5,1,1] => 1100
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,4,1] => [4,2,1] => 1386
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,3,1] => [3,1,1,1,1] => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [5,2] => [5,2] => 2016
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,4,2] => [4,2,1] => 1386
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,2] => [3,2,2] => 378
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,2,1] => [4,2,1] => 1386
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,3,2] => [3,2,1,1] => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,2] => [5,2] => 2016
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,4,2] => [4,2,1] => 1386
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3] => [4,3] => 1344
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3] => [4,3] => 1344
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3] => [3,3,1] => 616
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,3,2] => [3,2,2] => 378
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,2,1] => [4,2,1] => 1386
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3] => [3,3,1] => 616
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,3,2] => [3,2,1,1] => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,2,2] => [3,2,2] => 378
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,2,2,2] => [2,2,2,1] => 0
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [4,2,1] => [4,2,1] => 1386
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,3,2] => [3,2,2] => 378
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,3,2,1] => [3,2,1,1] => 0
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,1,2] => [4,2,1] => 1386
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3] => [3,2,2] => 378
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1] => [3,3,1] => 616
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,1,2] => [3,2,1,1] => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,2,2] => [2,2,2,1] => 0
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2] => [2,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,1] => [4,2,1] => 1386
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,3,2,1] => [3,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,2,2,1] => [2,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,1,1] => [5,1,1] => 1100
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,3,1] => [3,3,1] => 616
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,1,2] => [4,2,1] => 1386
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,3,1] => [3,2,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,3,1,1] => [3,1,1,1,1] => 0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,1,2] => [4,2,1] => 1386
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,3,1,2] => [3,2,1,1] => 0
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,2,2] => [3,2,2] => 378
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,2] => [3,2,2] => 378
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,2,2,2] => [2,2,2,1] => 0
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,2,1] => [4,2,1] => 1386
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,3] => [3,3,1] => 616
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,2] => [3,2,2] => 378
[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] => [1,3,2,1] => [3,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,2,1,2] => [2,2,2,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,2,1,2] => [2,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,2,1] => [2,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,3,1] => [3,2,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,2,2] => [2,2,2,1] => 0
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,2] => [2,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [5,1,1] => 1100
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,3,1,1] => [3,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,1,1] => [5,1,1] => 1100
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,3,1,1] => [3,1,1,1,1] => 0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,2,1] => [4,2,1] => 1386
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,2,1] => [3,2,1,1] => 0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,1,2] => [4,2,1] => 1386
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,1] => [3,3,1] => 616
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,3,1,2] => [3,2,1,1] => 0
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,2,2,1] => [2,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,2,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 0
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,1,1] => [5,1,1] => 1100
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,4,1,1] => [4,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,3,1,1] => [3,1,1,1,1] => 0
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,2] => [4,2,1] => 1386
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,3,1,2] => [3,2,1,1] => 0
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,2,1] => [4,2,1] => 1386
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,3] => [3,3,1] => 616
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,2,1] => [3,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,2,1,2] => [2,2,2,1] => 0
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,2,1,2] => [2,2,1,1,1] => 0
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,2,1] => [4,2,1] => 1386
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,1] => [3,2,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,1,2] => [4,2,1] => 1386
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,3,1] => [3,3,1] => 616
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,3,1,2] => [3,2,1,1] => 0
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,2] => [3,2,2] => 378
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,2] => [3,2,2] => 378
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2] => [3,2,2] => 378
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2] => [2,2,2,1] => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,2,2] => [2,2,2,1] => 0
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,1] => [2,2,1,1,1] => 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] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,2,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,2] => [2,2,1,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 0
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 0
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1] => [4,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,2] => [2,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 0
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,2,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2] => [2,2,2,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 0
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,2,1] => [2,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 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] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 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] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 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] => [8] => [8] => 1287
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7] => [7,1] => 3003
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,6] => [6,2] => 3900
[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] => [7,1] => [7,1] => 3003
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6] => [6,1,1] => 2079
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,5] => [5,3] => 3276
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,5] => [5,2,1] => 3072
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1] => [7,1] => 3003
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6] => [6,2] => 3900
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,6,1] => [6,1,1] => 2079
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,1,5] => [5,2,1] => 3072
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,5,1] => [5,2,1] => 3072
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,5] => [5,1,1,1] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,4] => [4,4] => 1274
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,4] => [4,3,1] => 2205
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,4] => [4,2,2] => 1078
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [3,4,1] => [4,3,1] => 2205
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,2,4] => [4,2,1,1] => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,1] => [7,1] => 3003
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,6,1] => [6,1,1] => 2079
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,5] => [5,3] => 3276
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,2] => [6,2] => 3900
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5] => [5,2,1] => 3072
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,5,1] => [5,2,1] => 3072
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => [5,2,1] => 3072
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,5,1] => [5,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [3,1,4] => [4,3,1] => 2205
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,2,1,4] => [4,2,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [3,4,1] => [4,3,1] => 2205
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,4] => [4,2,2] => 1078
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,2,4,1] => [4,2,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => [5,2,1] => 3072
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,5,1] => [5,2,1] => 3072
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,1,4] => [4,2,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,4] => [4,1,1,1,1] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [5,3] => [5,3] => 3276
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,4,3] => [4,3,1] => 2205
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,3] => [3,3,2] => 594
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,3,1] => [4,3,1] => 2205
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,3,3] => [3,3,1,1] => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [3,2,3] => [3,3,2] => 594
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,2,2,3] => [3,2,2,1] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [4,3,1] => [4,3,1] => 2205
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,3] => [3,3,2] => 594
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,1,2,3] => [3,2,2,1] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,2,3] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [7,1] => [7,1] => 3003
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,6,1] => [6,1,1] => 2079
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,5,1] => [5,2,1] => 3072
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,5,1] => [5,1,1,1] => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [4,4] => [4,4] => 1274
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,3,4] => [4,3,1] => 2205
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [6,2] => [6,2] => 3900
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5] => [5,3] => 3276
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,5,2] => [5,2,1] => 3072
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,2,4] => [4,2,2] => 1078
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,4,1] => [4,3,1] => 2205
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => [5,2,1] => 3072
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,2,4] => [4,2,1,1] => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [3,4,1] => [4,3,1] => 2205
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,2,4,1] => [4,2,1,1] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,5,1] => [5,2,1] => 3072
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,1,4] => [4,3,1] => 2205
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,4,2] => [4,2,2] => 1078
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => [5,2,1] => 3072
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,2,1,4] => [4,2,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => [4,2,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,4,1] => [4,1,1,1,1] => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,3,1,3] => [3,3,1,1] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,2,1,3] => [3,2,2,1] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,2,1,3] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [3,2,3] => [3,3,2] => 594
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [3,3,2] => [3,3,2] => 594
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,2,2,3] => [3,2,2,1] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,2,3] => [3,2,2,1] => 0
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,2,3,1] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [3,1,4] => [4,3,1] => 2205
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,2,1] => [5,2,1] => 3072
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,2,1,4] => [4,2,1,1] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [3,4,1] => [4,3,1] => 2205
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [5,1,2] => [5,2,1] => 3072
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,4] => [4,2,2] => 1078
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,4,1] => [4,2,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => [4,2,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,1,3] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,1,3] => [3,2,2,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,2,3] => [3,2,2,1] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => [4,2,1,1] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [6,2] => [6,2] => 3900
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,5,2] => [5,2,1] => 3072
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,4,2] => [4,2,2] => 1078
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,2,1] => [5,2,1] => 3072
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,4,2] => [4,2,1,1] => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [3,3,2] => [3,3,2] => 594
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,2] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [5,2,1] => [5,2,1] => 3072
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,2] => [4,2,2] => 1078
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,3,2] => [3,2,1,1,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,3,2,2] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [3,3,2] => [3,3,2] => 594
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [4,2,2] => [4,2,2] => 1078
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,3,2] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,3,2,1] => [3,2,1,1,1] => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [7,1] => [7,1] => 3003
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,6,1] => [6,1,1] => 2079
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,5,1] => [5,2,1] => 3072
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,5,1] => [5,1,1,1] => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [3,4,1] => [4,3,1] => 2205
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,2,4,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,5,1] => [5,2,1] => 3072
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,4,1] => [4,1,1,1,1] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [5,3] => [5,3] => 3276
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,4,3] => [4,3,1] => 2205
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,3,3] => [3,3,2] => 594
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [4,3,1] => [4,3,1] => 2205
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,3,3] => [3,3,1,1] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [6,2] => [6,2] => 3900
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,5,2] => [5,2,1] => 3072
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,4] => [4,4] => 1274
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,3] => [5,3] => 3276
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,4] => [4,3,1] => 2205
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,4,2] => [4,2,2] => 1078
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,2,1] => [5,2,1] => 3072
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4] => [4,3,1] => 2205
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,4,2] => [4,2,1,1] => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [3,2,3] => [3,3,2] => 594
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,2,2,3] => [3,2,2,1] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [4,3,1] => [4,3,1] => 2205
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,3] => [3,3,2] => 594
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,2,4] => [4,2,2] => 1078
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1] => [4,3,1] => 2205
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,1,2,3] => [3,2,2,1] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,2,3] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [3,4,1] => [4,3,1] => 2205
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [5,1,2] => [5,2,1] => 3072
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,2,4,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,3,1,3] => [3,3,1,1] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [3,3,2] => [3,3,2] => 594
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,2,3] => [3,3,2] => 594
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,2] => [3,2,2,1] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [5,2,1] => [5,2,1] => 3072
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4] => [4,3,1] => 2205
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2] => [4,2,2] => 1078
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,2,1,3] => [3,2,2,1] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,2,1,3] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,3,2,2] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,3,2] => [3,3,2] => 594
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,3,2,2] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,3,1,3] => [3,3,1,1] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,1,4] => [4,3,1] => 2205
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,2,1,3] => [3,2,2,1] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,2,1,3] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1] => [4,3,1] => 2205
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [3,2,3] => [3,3,2] => 594
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [3,3,2] => [3,3,2] => 594
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => [4,2,2] => 1078
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,3] => [3,2,2,1] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3] => [3,2,2,1] => 0
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,2,3,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 0
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,1,3] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 0
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3] => [3,2,2,1] => 0
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [7,1] => [7,1] => 3003
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,6,1] => [6,1,1] => 2079
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,5,1] => [5,2,1] => 3072
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,1,1] => [6,1,1] => 2079
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,5,1] => [5,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [3,4,1] => [4,3,1] => 2205
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,2,4,1] => [4,2,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,1,1] => [6,1,1] => 2079
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,5,1] => [5,2,1] => 3072
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,4,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,4,1] => [4,3,1] => 2205
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [5,1,2] => [5,2,1] => 3072
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,4,1] => [4,2,1,1] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,1] => [4,3,1] => 2205
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [7,1] => [7,1] => 3003
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,6,1] => [6,1,1] => 2079
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,5,1] => [5,2,1] => 3072
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,1] => [6,1,1] => 2079
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,5,1] => [5,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [3,4,1] => [4,3,1] => 2205
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,2,4,1] => [4,2,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,1,1] => [6,1,1] => 2079
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,5,1] => [5,2,1] => 3072
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,4,1] => [4,1,1,1,1] => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [3,4,1] => [4,3,1] => 2205
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [5,1,2] => [5,2,1] => 3072
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,4,1] => [4,2,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,1] => [4,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,2] => [6,2] => 3900
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,5,2] => [5,2,1] => 3072
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,4,2] => [4,2,2] => 1078
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [5,2,1] => [5,2,1] => 3072
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,4,2] => [4,2,1,1] => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,2] => [3,3,2] => 594
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,2,3,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [5,2,1] => [5,2,1] => 3072
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,2] => [4,2,2] => 1078
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,3,2] => [3,2,1,1,1] => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [6,2] => [6,2] => 3900
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,5,2] => [5,2,1] => 3072
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,4,2] => [4,2,2] => 1078
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [5,2,1] => [5,2,1] => 3072
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,4,2] => [4,2,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,3] => [5,3] => 3276
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,4,3] => [4,3,1] => 2205
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [5,3] => [5,3] => 3276
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,4] => [4,4] => 1274
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,4,3] => [4,3,1] => 2205
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,3,3] => [3,3,2] => 594
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [4,3,1] => [4,3,1] => 2205
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,3,3] => [3,3,1,1] => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [3,3,2] => [3,3,2] => 594
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,2,3,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [5,2,1] => [5,2,1] => 3072
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,4,2] => [4,2,2] => 1078
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,3,3] => [3,3,2] => 594
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => [4,3,1] => 2205
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3] => [3,3,1,1] => 0
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,3,2] => [3,2,1,1,1] => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,2,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 0
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [3,3,2] => [3,3,2] => 594
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [4,2,2] => [4,2,2] => 1078
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,3,2,1] => [3,2,1,1,1] => 0
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [3,2,3] => [3,3,2] => 594
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,2,2,3] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [4,3,1] => [4,3,1] => 2205
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,3] => [3,3,2] => 594
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 0
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,1,2,3] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 0
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,4,1] => [4,3,1] => 2205
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,2,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [3,2,3] => [3,3,2] => 594
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,2,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 0
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,3,1] => [4,3,1] => 2205
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,3,1,3] => [3,3,1,1] => 0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,3,2] => [3,3,2] => 594
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [4,2,2] => [4,2,2] => 1078
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3] => [3,3,2] => 594
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,3,2,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2] => [3,2,2,1] => 0
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [6,1,1] => [6,1,1] => 2079
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,5,1,1] => [5,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,3,1,3] => [3,3,1,1] => 0
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 0
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [5,2,1] => [5,2,1] => 3072
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,4,2,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [5,1,2] => [5,2,1] => 3072
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,4,1,2] => [4,2,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [4,3,1] => [4,3,1] => 2205
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [4,1,3] => [4,3,1] => 2205
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,3,3,1] => [3,3,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,2,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,3,2] => [3,3,2] => 594
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,3,2,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [4,2,2] => [4,2,2] => 1078
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,3] => [3,3,2] => 594
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,3,2] => [3,3,2] => 594
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 0
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1] => [5,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 0
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 0
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 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] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,3,1,1,1] => [3,2,1,1,1,1] => 0
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,2,1,1] => [3,2,2,1,1] => 0
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,2,3,1,1] => [3,2,2,1,1] => 0
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,3,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,3,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,1,3] => [3,2,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,1,3] => [3,2,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,3,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,2,1,1] => [3,2,2,1,1] => 0
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,2,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,1,1,3] => [3,2,1,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4] => [5,4] => 4116
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,4,4] => [4,4,1] => 2184
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [5,3,1] => [5,3,1] => 5460
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [4,1,4] => [4,4,1] => 2184
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,4,3] => [4,3,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,4,3] => [4,3,2] => 2240
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [2,3,4] => [4,3,2] => 2240
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1] => [4,4,1] => 2184
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,4,1,3] => [4,3,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [2,3,3,1] => [3,3,2,1] => 0
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [4,3,1,1] => [4,3,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [4,1,1,3] => [4,3,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,3,3] => [3,3,1,1,1] => 0
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [5,2,2] => [5,2,2] => 2464
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [4,2,3] => [4,3,2] => 2240
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,4,3] => [4,3,2] => 2240
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,4,2,1] => [4,2,2,1] => 0
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [2,3,3,1] => [3,3,2,1] => 0
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [4,3,1,1] => [4,3,1,1] => 0
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [2,3,2,1,1] => [3,2,2,1,1] => 0
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,1,3] => [3,3,1,1,1] => 0
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,3,2] => [3,2,1,1,1,1] => 0
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,2,1] => [4,2,2,1] => 0
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,1,3,2] => [3,2,2,1,1] => 0
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,3,2,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [3,2,4] => [4,3,2] => 2240
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [4,4,1] => [4,4,1] => 2184
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [4,2,3] => [4,3,2] => 2240
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,2,3,2] => [3,2,2,2] => 0
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,2,2,3] => [3,2,2,2] => 0
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,3,3,1] => [3,3,2,1] => 0
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [3,3,1,1,1] => [3,3,1,1,1] => 0
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 0
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,2,2] => [2,2,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [5,1,3] => [5,3,1] => 5460
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,4,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 0
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,2,2,2] => [2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3,3] => 330
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,3,2] => [4,3,2] => 2240
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [4,2,2,1] => [4,2,2,1] => 0
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,3,2,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,2,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [3,2,1,2,1] => [3,2,2,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,2] => [4,2,2,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,2,1,2,2] => [2,2,2,1,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,2,2,2] => [3,2,2,2] => 0
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [3,2,2,1,1] => [3,2,2,1,1] => 0
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,2,3,2] => [3,2,2,2] => 0
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,2,3,1,1] => [3,2,2,1,1] => 0
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,4,1] => [4,4,1] => 2184
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,1,3,1] => [4,3,1,1] => 0
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [3,4,1,1] => [4,3,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,2,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,4] => [4,4,1] => 2184
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,2,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,4,1,3] => [4,3,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,3,1] => [4,3,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,3,1,2] => [3,2,1,1,1,1] => 0
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [4,2,3] => [4,3,2] => 2240
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3,3] => 330
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,3,2,2] => [3,2,2,2] => 0
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2,2] => [2,2,2,1,1,1] => 0
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [3,1,2,1,2] => [3,2,2,1,1] => 0
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 0
[1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 0
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 0
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 0
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 0
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,2,1,3] => [3,3,2,1] => 0
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,2,1] => [3,2,2,1,1] => 0
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,2,1,2,2,1] => [2,2,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,2,1,2] => [2,2,2,2,1] => 0
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,3,1,2,1] => [3,2,2,1,1] => 0
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2,2] => [2,2,2,2,1] => 0
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,1,2,1] => [2,2,2,1,1,1] => 0
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,2,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [4,1,1,3] => [4,3,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,2,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,1,3,1] => [4,3,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,1,3,1] => [3,3,1,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [3,3,1,2] => [3,3,2,1] => 0
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,1] => [3,2,2,1,1] => 0
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,1,3,2] => [3,3,2,1] => 0
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [3,3,2,1] => [3,3,2,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,3,2,1,2] => [3,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 0
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 0
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 0
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 0
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,2,1,1] => [3,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,2,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,2,1,2,1] => [3,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,2,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,1,3,1] => [3,3,1,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,2,1,2,2] => [2,2,2,2,1] => 0
[1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,1] => [3,2,2,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,2,1,2] => [2,2,2,2,1] => 0
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,1,1,2,2] => [3,2,2,1,1] => 0
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,1,1,3,1] => [3,3,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,2,1,1,2] => [3,2,2,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,1,2,2] => [3,2,2,1,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,1,1,3] => [3,3,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,2,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,2,1,1,2,2] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,1,2,2,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2,2] => [2,2,2,2,1] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,2,1,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,1,2,2,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,1,2,2,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 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] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [9] => [9] => 2002
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,8] => [8,1] => 4928
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1] => [8,1] => 4928
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,7] => [7,2] => 6930
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [7,2] => [7,2] => 6930
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,6] => [6,3] => 6720
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [6,3] => [6,3] => 6720
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5] => [5,4] => 4116
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [10] => [10] => 3003
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,9] => [9,1] => 7722
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,7] => [7,1,1] => 3640
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1] => [9,1] => 7722
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,6,1] => [6,2,1] => 6006
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,8] => [8,2] => 11550
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,5] => [5,2,2] => 2464
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [8,2] => [8,2] => 11550
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [3,4,2] => [4,3,2] => 2240
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,7] => [7,3] => 12375
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,3,3] => [3,3,3] => 330
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [7,3] => [7,3] => 12375
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [4,2,3] => [4,3,2] => 2240
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,6] => [6,4] => 9450
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,4] => [6,4] => 9450
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,5] => [5,5] => 3528
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [11] => [11] => 4368
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,10] => [10,1] => 11648
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,8] => [8,1,1] => 6006
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [10,1] => [10,1] => 11648
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,1] => [7,1,1] => 3640
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,7,1] => [7,2,1] => 10752
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,9] => [9,2] => 18304
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,6] => [6,2,1] => 6006
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,6] => [6,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [9,2] => [9,2] => 18304
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [6,2,1] => [6,2,1] => 6006
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,5,1] => [5,2,1,1] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5] => [5,3,1] => 5460
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,2,1,4] => [4,2,2,1] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [5,1,4] => [5,4,1] => 7168
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,9] => [9,1,1] => 9450
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1] => [11,1] => 17017
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [8,1,1] => [8,1,1] => 6006
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,6,1] => [6,2,1] => 6006
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,7] => [7,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [6,1,2] => [6,2,1] => 6006
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,6,1,1] => [6,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [7,2,1] => [7,2,1] => 10752
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [3,5,1] => [5,3,1] => 5460
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [5,1,3] => [5,3,1] => 5460
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,5,1,1] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,5] => [5,2,1,1] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [5,2,1,1] => [5,2,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,1,1,4] => [4,3,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,7,1] => [7,2,1] => 10752
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,2,5] => [5,2,2] => 2464
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,7,1,1] => [7,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,5,1] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,5] => [5,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [7,1,1,1] => [7,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,1,4,1] => [4,2,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,5,1] => [5,2,1,1] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,3,3,1] => [3,3,2,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,2,1,1,3] => [3,2,2,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [2,4,1,2] => [4,2,2,1] => 0
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,5,1,1] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,6] => [6,1,1,1,1] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,2,4] => [4,3,2] => 2240
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,5,1,1] => [5,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,6,1] => [6,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [2,6,1,1] => [6,2,1,1] => 0
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [4,4,2] => [4,4,2] => 2457
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,2,3,1,1] => [3,2,2,1,1] => 0
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [2,2,3,2] => [3,2,2,2] => 0
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,1,2,3] => [3,2,2,1,1] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [3,4,2] => [4,3,2] => 2240
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,4] => [4,1,1,1,1,1] => 0
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,1,3,2,1] => [3,2,2,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1] => [4,2,2,1] => 0
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,2,3] => [3,2,2,2] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1] => [6,1,1,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,1,4,1] => [4,2,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,5] => [5,1,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [5,2,2,1] => [5,2,2,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,1,1,1] => [4,3,1,1,1] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,3,4] => [4,3,3] => 1386
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3,3] => [4,3,3] => 1386
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 0
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [4,2,2,2] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,7] => [7,2] => 6930
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,6] => [6,3] => 6720
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,6] => [6,2,1] => 6006
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,6] => [6,2,1] => 6006
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,5] => [5,4] => 4116
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,5] => [5,3,1] => 5460
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [2,2,5] => [5,2,2] => 2464
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,2,5] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,5] => [5,3,1] => 5460
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,1,5] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,1,1,5] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [5,4] => [5,4] => 4116
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,4,4] => [4,4,1] => 2184
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [3,2,4] => [4,3,2] => 2240
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,2,4] => [4,2,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,1,4] => [4,4,1] => 2184
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,1,4] => [4,3,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,1,4] => [4,2,2,1] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [3,1,1,4] => [4,3,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,1,1,4] => [4,2,1,1,1] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [6,3] => [6,3] => 6720
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,5,3] => [5,3,1] => 5460
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [4,2,3] => [4,3,2] => 2240
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,1,1,2,3] => [3,2,2,1,1] => 0
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,2,3] => [3,2,1,1,1,1] => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [5,1,3] => [5,3,1] => 5460
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,4,1,3] => [4,3,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,1,1,3] => [4,3,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,2,1,1,3] => [3,2,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,1,1,3] => [3,3,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,1,1,3] => [3,2,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,1,1,3] => [3,2,1,1,1,1] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [7,2] => [7,2] => 6930
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,6,2] => [6,2,1] => 6006
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,5,2] => [5,2,2] => 2464
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,5,2] => [5,2,1,1] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [3,4,2] => [4,3,2] => 2240
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [4,3,2] => [4,3,2] => 2240
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,3,2] => [3,2,1,1,1,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [5,2,2] => [5,2,2] => 2464
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,4,2,2] => [4,2,2,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,1,1,2,2] => [3,2,2,1,1] => 0
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,2,2] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [6,1,2] => [6,2,1] => 6006
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,5,1,2] => [5,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,3,1,2] => [3,2,1,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,2,1,2] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,1,2] => [5,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,3,1,1,2] => [3,2,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [3,2,1,1,2] => [3,2,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,2,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,2,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [8,1] => [8,1] => 4928
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,7,1] => [7,1,1] => 3640
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,6,1] => [6,2,1] => 6006
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,6,1] => [6,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,5,1] => [5,3,1] => 5460
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,5,1] => [5,2,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,5,1] => [5,2,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,5,1] => [5,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [4,4,1] => [4,4,1] => 2184
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,2,4,1] => [4,2,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,4,1] => [4,2,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,4,1] => [4,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,3,3,1] => [3,3,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,2,1,3,1] => [3,2,1,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,3,1] => [3,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [6,2,1] => [6,2,1] => 6006
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,5,2,1] => [5,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,3,2,1] => [3,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [4,2,2,1] => [4,2,2,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,1,2,2,1] => [3,2,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [5,1,2,1] => [5,2,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,2,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,2,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,6,1,1] => [6,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,5,1,1] => [5,2,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,5,1,1] => [5,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,4,1,1] => [4,3,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,3,3,1,1] => [3,3,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [5,2,1,1] => [5,2,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,4,2,1,1] => [4,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,8] => [8,2] => 11550
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,7] => [7,3] => 12375
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,7] => [7,2,1] => 10752
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,1,7] => [7,2,1] => 10752
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [4,6] => [6,4] => 9450
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,1,6] => [6,3,1] => 11319
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,1,6] => [6,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,1,6] => [6,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [5,5] => [5,5] => 3528
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,1,5] => [5,4,1] => 7168
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,1,5] => [5,3,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,1,5] => [5,3,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,1,1,1,5] => [5,2,1,1,1] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [6,4] => [6,4] => 9450
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,5,4] => [5,4,1] => 7168
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,4,1,4] => [4,4,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,1,1,4] => [4,4,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,1,1,1,4] => [4,2,1,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,4] => [4,1,1,1,1,1,1] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [7,3] => [7,3] => 12375
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [6,1,3] => [6,3,1] => 11319
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,5,1,3] => [5,3,1,1] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,2,1,3] => [3,2,1,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,1,1,1,3] => [4,3,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,2,1,1,1,3] => [3,2,1,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,1,1,1,3] => [3,2,1,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,1,1,1,3] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [8,2] => [8,2] => 11550
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,7,2] => [7,2,1] => 10752
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [2,6,2] => [6,2,2] => 4914
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,6,2] => [6,2,1,1] => 0
[1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,3,2] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [6,2,2] => [6,2,2] => 4914
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,3,2,2,2] => [3,2,2,2,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 0
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,2,2] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [7,1,2] => [7,2,1] => 10752
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,6,1,2] => [6,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,3,1,2] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 0
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,2,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [6,1,1,2] => [6,2,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,3,1,1,2] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,2,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,1,1,2] => [5,2,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,3,1,1,1,2] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,2,1,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,1,1,1,1,2] => [4,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,1,1,1,1,2] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [9,1] => [9,1] => 7722
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,8,1] => [8,1,1] => 6006
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,7,1] => [7,2,1] => 10752
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,7,1] => [7,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [3,6,1] => [6,3,1] => 11319
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,6,1] => [6,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [4,5,1] => [5,4,1] => 7168
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,5,1] => [5,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,4,1] => [4,1,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [6,3,1] => [6,3,1] => 11319
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,3,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [7,2,1] => [7,2,1] => 10752
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [3,2,2,2,1] => [3,2,2,2,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,2,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [6,1,2,1] => [6,2,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,1,1,1,2,1] => [3,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [8,1,1] => [8,1,1] => 6006
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,7,1,1] => [7,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,3,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [6,2,1,1] => [6,2,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [7,1,1,1] => [7,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,6,1,1,1] => [6,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,3,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,4,1,1,1,1,1] => [4,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [8,1] => [8,1] => 4928
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [7,2] => [7,2] => 6930
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [7,2] => [7,2] => 6930
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [6,3] => [6,3] => 6720
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [6,3] => [6,3] => 6720
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,4] => [5,4] => 4116
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [9,1] => [9,1] => 7722
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [6,2,1] => [6,2,1] => 6006
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [8,2] => [8,2] => 11550
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [5,2,2] => [5,2,2] => 2464
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [8,2] => [8,2] => 11550
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [4,3,2] => [4,3,2] => 2240
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [7,3] => [7,3] => 12375
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [3,3,3] => [3,3,3] => 330
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [7,3] => [7,3] => 12375
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [2,4,3] => [4,3,2] => 2240
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [6,4] => [6,4] => 9450
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [6,4] => [6,4] => 9450
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2,2] => [2,2,2,2,2,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2,2] => [3,2,2,2,1] => 0
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2,2] => [3,2,2,2,1] => 0
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,2,2,1] => [2,2,2,2,2,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [10,1] => [10,1] => 11648
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [7,1,1] => [7,1,1] => 3640
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,5,4] => [5,4,1] => 7168
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [8,1,1] => [8,1,1] => 6006
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,1] => [7,1,1] => 3640
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,2,1] => [6,2,1] => 6006
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,7,1] => [7,1,1] => 3640
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2] => [4,3,2] => 2240
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [5,2,2] => [5,2,2] => 2464
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [5,2,2] => [5,2,2] => 2464
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [6,2,1] => [6,2,1] => 6006
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,2] => [4,2,2,1] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,2] => [4,2,2,1] => 0
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [4,2,3] => [4,3,2] => 2240
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [3,4,3] => [4,3,3] => 1386
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,3,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [6,3] => [6,3] => 6720
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [8,1] => [8,1] => 4928
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [9,1] => [9,1] => 7722
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,7] => [7,3] => 12375
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,6,2] => [6,2,1] => 6006
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [5,4,1] => [5,4,1] => 7168
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [5,3,2] => [5,3,2] => 5720
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,5,2] => [5,3,2] => 5720
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,2,3,1] => [3,2,2,2,1] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [5,1,3] => [5,3,1] => 5460
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,5,3] => [5,3,1] => 5460
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,5,3] => [5,3,1] => 5460
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [5,1,3] => [5,3,1] => 5460
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,4,3] => [4,3,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,4,4] => [4,4,1,1] => 0
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,4,2] => [4,2,1,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [4,1,1,4] => [4,4,1,1] => 0
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [4,4,1,1] => [4,4,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [2,4,3,1] => [4,3,2,1] => 0
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,2,3,1,1] => [3,2,2,1,1] => 0
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3,3] => [3,3,2,2] => 0
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,2,3] => [3,3,2,2] => 0
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,3,2,2] => [3,3,2,2] => 0
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,4,3] => [4,3,2] => 2240
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,6] => [6,3] => 6720
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [8,1] => [8,1] => 4928
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [9,1] => [9,1] => 7722
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [7,3] => [7,3] => 12375
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2] => [6,2,1] => 6006
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [2,4,4] => [4,4,2] => 2457
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,7,1] => [7,1,1] => 3640
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [2,4,3] => [4,3,2] => 2240
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [3,4,2] => [4,3,2] => 2240
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [4,3,2] => [4,3,2] => 2240
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [2,2,3,1,1] => [3,2,2,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,5,1,1,1] => [5,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,4,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,2,2,3,1] => [3,2,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,2,3,1,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,3,3,1,1] => [3,3,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [2,2,4,1,1] => [4,2,2,1,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,3,2,1] => [3,2,2,1,1] => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [2,2,2,3,1] => [3,2,2,2,1] => 0
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,2,2] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,5,2] => [5,2,2] => 2464
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [5,1,4] => [5,4,1] => 7168
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1] => [5,4,1] => 7168
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,2,4] => [4,4,2] => 2457
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [4,4,2] => [4,4,2] => 2457
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [4,3,3] => [4,3,3] => 1386
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,5,5] => [5,5,1] => 6300
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [5,3,1,1] => [5,3,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [2,4,3,1] => [4,3,2,1] => 0
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,2,4,2] => [4,2,2,2] => 0
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [4,2,2,2] => 0
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [3,4,1,2] => [4,3,2,1] => 0
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,3,1] => [3,3,3,1] => 0
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 0
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [3,1,4,1,1] => [4,3,1,1,1] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,2,3,2] => [3,2,2,2,1] => 0
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,1,4,1] => [4,3,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,2,3,2] => [3,2,2,2,1] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,1,4,1] => [4,3,1,1,1] => 0
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [2,2,1,4,1] => [4,2,2,1,1] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,3,1] => [3,3,2,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [3,1,1,4,1] => [4,3,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,2,1,3,2] => [3,2,2,2,1] => 0
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,1,1,4,1] => [4,3,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [2,2,1,3,2] => [3,2,2,2,1] => 0
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [3,1,4,1,1] => [4,3,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [3,1,3,2,1] => [3,3,2,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [5,1,1,2,1] => [5,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [2,4,1,2,1] => [4,2,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [5,1,1,2,1] => [5,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [2,4,1,1,2] => [4,2,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [5,1,1,2,1] => [5,2,1,1,1] => 0
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 0
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 0
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [5,1,2,1,1] => [5,2,1,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [4,2,2,1,1] => [4,2,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [5,1,2,1,1] => [5,2,1,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [4,2,1,2,1] => [4,2,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [5,1,2,1,1] => [5,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [3,1,3,1,2] => [3,3,2,1,1] => 0
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [4,1,3,1,1] => [4,3,1,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,1,2,2,2] => [3,2,2,2,1] => 0
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 0
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,1,2,2,2] => [3,2,2,2,1] => 0
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [3,2,1,3,1] => [3,3,2,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [4,1,2,2,1] => [4,2,2,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 0
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [3,2,1,2,2] => [3,2,2,2,1] => 0
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [3,2,1,2,2] => [3,2,2,2,1] => 0
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [4,1,3,1,1] => [4,3,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [4,1,2,2,1] => [4,2,2,1,1] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,3,2,2,1,1] => [3,3,2,2,1,1] => 0
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,3,1,1,4] => [4,3,2,1,1,1] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,1,1,4] => [4,3,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 0
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 0
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,1,1,2,2,3] => [3,3,2,2,1,1] => 0
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 0
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 0
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,1,1,2,2,3] => [3,3,2,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [3,1,2,4,1,1] => [4,3,2,1,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [4,2,1,3,1,1] => [4,3,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [3,2,2,1,1,3] => [3,3,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 0
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 0
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [3,2,2,1,1,3] => [3,3,2,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 0
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,3,1,2] => [4,3,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,3,1,2] => [4,3,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [3,3,1,1,2,2] => [3,3,2,2,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3,3] => [4,3,3] => 1386
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,2,2] => [3,2,2,2] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,2,2,1] => [3,2,2,2,1] => 0
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1,1] => 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] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [10,1] => [10,1] => 11648
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,8,1] => [8,1,1] => 6006
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,6,1] => [6,2,1] => 6006
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,4,1] => [4,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,5,1] => [5,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,6,1] => [6,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,7,1] => [7,1,1] => 3640
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,4,1,1] => [4,3,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,2,1] => [3,2,2,1,1] => 0
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,6,1,1] => [6,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,5,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [7,1,1] => [7,1,1] => 3640
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [4,4,1] => [4,4,1] => 2184
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [8,1] => [8,1] => 4928
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,5,1] => [5,3,1] => 5460
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,9] => [9,2] => 18304
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1] => [8,1] => 4928
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,6,2] => [6,2,1] => 6006
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1] => [9,1] => 7722
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,5,3] => [5,3,1] => 5460
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [7,3] => [7,3] => 12375
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,8,1] => [8,1,1] => 6006
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [6,1,2] => [6,2,1] => 6006
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,7,2] => [7,2,1] => 10752
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,1,1,1,2,2] => [2,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [4,3,1,1] => [4,3,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [6,3] => [6,3] => 6720
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,6,1] => [6,2,1] => 6006
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [9,2] => [9,2] => 18304
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2,2] => [2,2,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,2,1] => [2,2,2,1,1,1,1] => 0
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,3,2,2] => [3,2,2,1,1] => 0
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,2,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,3,2] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,4] => [4,2,1,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,1,1,4,1] => [4,2,1,1,1] => 0
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [5,1,3] => [5,3,1] => 5460
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,2,1] => [3,2,2,2,1] => 0
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,5,1] => [5,3,1] => 5460
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [8,1,1] => [8,1,1] => 6006
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,6] => [6,2,1] => 6006
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [6,2,1] => [6,2,1] => 6006
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,5,2] => [5,2,2] => 2464
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [8,1,1] => [8,1,1] => 6006
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [5,3,1] => [5,3,1] => 5460
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,1,1,1,2] => [5,2,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 0
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,2,2,2] => [4,2,2,2] => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [5,1,1,2] => [5,2,1,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [6,2,1] => [6,2,1] => 6006
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [2,5,2] => [5,2,2] => 2464
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [5,2,1,1] => [5,2,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2,2] => [3,2,2,2,1] => 0
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2,2] => [2,2,2,2,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [7,1,1] => [7,1,1] => 3640
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,2,3] => [3,2,1,1,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [4,1,2,2] => [4,2,2,1] => 0
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2,1] => [4,2,2,1] => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [2,6,1] => [6,2,1] => 6006
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [8,1] => [8,1] => 4928
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [9,1] => [9,1] => 7722
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [9,1] => [9,1] => 7722
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,6,1] => [6,2,1] => 6006
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [9,1] => [9,1] => 7722
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [4,4,1] => [4,4,1] => 2184
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [3,5,1] => [5,3,1] => 5460
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [5,5] => [5,5] => 3528
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [8,2] => [8,2] => 11550
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [4,4,1] => [4,4,1] => 2184
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [6,1,2] => [6,2,1] => 6006
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,5,1] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,8,1] => [8,1,1] => 6006
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [3,2,2,2] => [3,2,2,2] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,2,1,2] => [3,2,2,2,1] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,1,2,2] => [3,2,2,2,1] => 0
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [8,1,1] => [8,1,1] => 6006
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [5,1,3] => [5,3,1] => 5460
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [7,2] => [7,2] => 6930
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [4,3,2] => [4,3,2] => 2240
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [8,2] => [8,2] => 11550
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5] => [5,4] => 4116
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,2,4] => [4,3,2] => 2240
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [4,4,2] => [4,4,2] => 2457
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,2,2] => [3,2,2,2] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,3,3] => [4,3,3] => 1386
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,5,2] => [5,2,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,6,3] => [6,3,1] => 11319
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [5,4,1] => [5,4,1] => 7168
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,2,3,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,4,1,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,2,3,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [5,1,1,2] => [5,2,1,1] => 0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [5,1,3] => [5,3,1] => 5460
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,5,1,1] => [5,1,1,1,1] => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [5,4,1] => [5,4,1] => 7168
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,1,5,1] => [5,2,1,1] => 0
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,6,2] => [6,2,1] => 6006
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [5,4,1] => [5,4,1] => 7168
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 0
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 0
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 0
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 0
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [2,5,2] => [5,2,2] => 2464
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [6,2,1] => [6,2,1] => 6006
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [6,1,2] => [6,2,1] => 6006
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5] => [5,4] => 4116
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [6,2,1] => [6,2,1] => 6006
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,6,1] => [6,2,1] => 6006
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [4,5,1] => [5,4,1] => 7168
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [6,1,2] => [6,2,1] => 6006
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,4,1] => [4,1,1,1,1,1] => 0
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,1,2,2] => [4,2,2,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [3,5,1] => [5,3,1] => 5460
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [3,6,1] => [6,3,1] => 11319
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [4,4,1] => [4,4,1] => 2184
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [3,2,2,1,1,1] => [3,2,2,1,1,1] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [3,3,1,1,1] => [3,3,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [7,2,1] => [7,2,1] => 10752
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0] => [4,1,1,3] => [4,3,1,1] => 0
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 0
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [2,5,1,1] => [5,2,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [6,1,2] => [6,2,1] => 6006
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [4,3,2] => [4,3,2] => 2240
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [3,5,1] => [5,3,1] => 5460
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [6,1,3] => [6,3,1] => 11319
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [8,1,1] => [8,1,1] => 6006
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [5,2,2] => [5,2,2] => 2464
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [5,4] => [5,4] => 4116
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,1,2,1] => [4,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,1,3,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,3,3,1,1,1] => [3,3,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,2,3,1] => [3,2,2,1,1] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [6,1,2] => [6,2,1] => 6006
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [4,4,1] => [4,4,1] => 2184
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [7,1,1,1] => [7,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,6] => [6,2,1] => 6006
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [6,1,2] => [6,2,1] => 6006
[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [5,1,3] => [5,3,1] => 5460
[1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,3,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,2,3,1,2] => [3,2,2,2,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,3,2,2,1,1] => [3,2,2,1,1,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [2,3,2,1,1] => [3,2,2,1,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [4,2,2,1] => [4,2,2,1] => 0
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [2,3,2,1,1] => [3,2,2,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [4,4,1] => [4,4,1] => 2184
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,4,2] => [4,2,1,1,1] => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [8,1,1] => [8,1,1] => 6006
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,6,1] => [6,3,1] => 11319
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [7,1,2] => [7,2,1] => 10752
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [5,2,1,1] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,5,1] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,2,6,1] => [6,2,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,3,3,1,1] => [3,3,1,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [2,8,1] => [8,2,1] => 18018
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,3,2,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,1,3,1,1] => [3,3,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,3,2,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,4,1,1,2,1] => [4,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,3,2,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,3,3,1,1,1] => [3,3,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,4,1,2,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,1,2,3,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,1,3,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,1,3,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,1,4,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,2,1,2,2,1] => [2,2,2,2,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,2,1,3,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,1,1,2,2,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,1,3,1,1] => [3,3,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [2,3,1,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,2,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [3,2,1,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,1,1,1,2,1] => [4,2,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [2,3,1,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [2,3,2,1,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [2,4,1,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [3,1,3,1,1,1] => [3,3,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [3,2,1,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [4,1,1,2,1,1] => [4,2,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [3,3,1,1,1,1] => [3,3,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,2,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,2,2,2,3,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,2,2,3,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,2,2,3,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,2,2,4,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,3,1,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,3,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,2,3,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,2,4,1,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,2,3,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,2,3,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,2,4,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,2,4,2,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,2,5,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,3,1,2,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,3,1,2,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,3,1,3,1,2,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,3,1,3,2,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,3,1,4,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,2,1,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,2,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,4,1,1,2,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,4,1,1,3,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,3,3,1,1,2,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,4,1,2,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,4,2,1,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,5,1,1,1,2,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,3,2,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,3,2,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,3,3,1,2,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,3,3,2,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,3,4,1,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,4,1,2,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,4,1,3,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,4,2,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,5,1,1,2,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,4,2,2,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,4,3,1,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,5,1,2,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,5,2,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,6,1,1,1,1,1] => [6,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,1,2,2,2,2,1] => [2,2,2,2,2,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [2,1,2,2,3,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [2,1,2,3,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [2,1,2,3,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [2,1,2,4,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [2,1,3,1,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [2,1,3,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [2,1,3,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [2,1,4,1,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [2,1,3,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,1,3,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [2,1,4,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [2,1,4,2,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,1,5,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,2,1,2,2,2,1] => [2,2,2,2,2,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,2,1,2,3,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,2,1,3,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,2,1,3,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,2,1,4,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,1,1,2,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,1,1,2,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,1,3,1,2,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,1,1,3,2,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,1,1,4,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,2,2,1,2,2,1] => [2,2,2,2,2,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,2,2,1,3,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,3,1,1,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,1,2,1,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,2,1,1,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,2,1,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [4,1,1,1,2,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [4,1,1,1,3,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [2,2,2,2,1,2,1] => [2,2,2,2,2,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [2,2,3,1,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,3,1,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [2,3,2,1,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [2,4,1,1,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [3,1,2,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [3,1,3,1,1,2,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,2,1,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,1,1,2,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [3,2,2,1,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [3,3,1,1,1,2,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,1,2,1,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,2,1,1,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [5,1,1,1,1,2,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [2,2,2,3,1,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [2,2,3,1,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [2,2,3,2,1,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [2,2,4,1,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [2,3,1,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [2,3,1,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [2,3,2,1,2,1,1] => [3,2,2,2,1,1,1] => 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] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [2,4,1,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [2,3,2,2,1,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [2,3,3,1,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [2,4,1,2,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [2,4,2,1,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [2,5,1,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [3,1,2,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [3,1,2,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [3,1,3,1,2,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [3,1,3,2,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [3,1,4,1,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,2,1,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [3,2,1,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,1,2,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,3,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [3,2,2,1,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [3,3,1,1,2,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [4,2,1,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [5,1,1,1,2,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [3,2,3,1,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [3,3,1,2,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [3,4,1,1,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [4,1,2,2,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [4,1,3,1,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [4,2,1,2,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,1,2,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => 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] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [5,1,2,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [5,2,1,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [6,1,1,1,1,1,1] => [6,1,1,1,1,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [6,1,2] => [6,2,1] => 6006
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,1,4,2] => [4,2,2,1] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [4,3,2] => [4,3,2] => 2240
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,1,4] => [4,4,1] => 2184
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [4,1,2,2] => [4,2,2,1] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [5,2,3] => [5,3,2] => 5720
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [7,1,1,1] => [7,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 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] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 0
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2,3] => [3,2,2,2] => 0
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,1,2,2,1] => [2,2,2,2,1,1] => 0
[1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,3,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1,1] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [5,2,1,1] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [4,4,1] => [4,4,1] => 2184
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [7,1,1] => [7,1,1] => 3640
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,7,1] => [7,1,1] => 3640
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,8,1] => [8,1,1] => 6006
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,5,1] => [5,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 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] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [2,2,2,1,2] => [2,2,2,2,1] => 0
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,2,3,1] => [3,2,2,2,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,9,1] => [9,1,1] => 9450
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,2,5] => [5,3,2] => 5720
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 0
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 0
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [4,2,2,2] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [5,1,1,2] => [5,2,1,1] => 0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [7,2] => [7,2] => 6930
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,6] => [6,4] => 9450
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [8,2] => [8,2] => 11550
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [10,2] => [10,2] => 27846
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,8,2] => [8,2,1] => 18018
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [7,2,1] => [7,2,1] => 10752
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,5,2] => [5,2,2] => 2464
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1] => [5,3,1] => 5460
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,2,3,1,1] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,3,2,2,1,1] => [3,2,2,1,1,1] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5] => [5,3,1] => 5460
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,1,3,2] => [3,2,2,1,1] => 0
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,4,1,1] => [4,2,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,1,1,1,1,2] => [3,2,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 0
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 0
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1,1] => [4,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [7,1,1] => [7,1,1] => 3640
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [3,5,1] => [5,3,1] => 5460
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [6,1,1,1,1,1,1] => [6,1,1,1,1,1,1] => 0
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [8,2] => [8,2] => 11550
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [2,1,2,2,1,2] => [2,2,2,2,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,1,1,1,2] => [4,2,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 0
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [6,2,1] => [6,2,1] => 6006
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,5] => [5,2,1,1] => 0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,2,3] => [3,2,2,2,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [2,2,3,2,1] => [3,2,2,2,1] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [5,2,1,1,1] => [5,2,1,1,1] => 0
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [4,2,1,2,1] => [4,2,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,2,3,1] => [3,3,2,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [2,2,3,1,1] => [3,2,2,1,1] => 0
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,3,1] => [3,1,1,1,1,1,1,1,1] => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [6,2,1] => [6,2,1] => 6006
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,7,1] => [7,1,1] => 3640
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,1,3,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,3,3,1,1,1] => [3,3,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,2,2,1,3,1] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,2,1,4,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,3,1,3,1,1] => [3,3,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,1,1,2] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,3,2,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,2,2,1,3,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,2,1,4,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,3,1,3,1,1] => [3,3,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,2,3,1,1,2] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,1,2,1] => [4,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,4,1,2,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,2,1,3,1,2] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,2,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,4,1,2,1,1] => [4,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,2,1,2,2] => [2,2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,2,2,1,1,3] => [3,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,1,1,3,1] => [3,3,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,1,3,1,2] => [3,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,3,2,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,2,3,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,4,2,2,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,2,2,3,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,3,3,2,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,2,4,2,1,1,1] => [4,2,2,1,1,1,1] => 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] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,5,2,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,3,1,3,2,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,1,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,2,2,2,3,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,3,2,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,2,3,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,4,3,1,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,2,2,4,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,3,4,1,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,3,2,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,2,5,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,2,1,4,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,2,3,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,2,4,1,1,2,1] => [4,2,2,1,1,1,1] => 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] => [1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,6,1,1,1,1,1] => [6,1,1,1,1,1,1] => 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] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,3,1,4,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,5,1,1,1,2,1] => [5,2,1,1,1,1,1] => 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] => [1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,4,1,3,1,1,1] => [4,3,1,1,1,1,1] => 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] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,3,1,1,2,1] => [3,3,2,1,1,1,1] => 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] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,5,1,1,2,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,2,1,2,3,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,3,1,2,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,3,2,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,2,3,2,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,4,2,2,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,2,2,3,2,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,3,3,2,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,2,4,2,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,5,2,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,3,1,3,2,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,1,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,2,2,2,3,1,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,3,2,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,2,3,3,1,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,4,3,1,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,2,2,2,2,1,2] => [2,2,2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,2,3,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,4,2,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,2,2,4,1,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,3,4,1,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,3,2,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,2,2,3,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,3,3,1,2,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,2,2,2,2,1,2] => [2,2,2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,2,2,3,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,3,3,1,2,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,2,5,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,2,1,4,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,2,3,1,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,2,4,1,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,2,4,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,2,3,2,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,2,4,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,2,2,2,1,2,2] => [2,2,2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,2,3,1,2,2,1] => [3,2,2,2,1,1,1] => 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] => [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,6,1,1,1,1,1] => [6,1,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,3,1,4,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,5,1,1,1,2,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,4,1,3,1,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,3,1,1,2,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,5,1,1,2,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,2,1,2,3,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,3,1,2,3,1,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,5,1,2,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,3,1,3,1,2,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,2,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,4,2,1,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,1,2,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,4,1,2,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,4,1,1,3,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,1,3,1,2,1] => [3,3,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,2,2,1,2,2] => [2,2,2,2,2,1,1] => 0
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,2,1,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,3,1,2,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,4,1,2,2,1,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,1,1,3,1,1] => [4,3,1,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,2,1,2,1] => [4,2,2,1,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,2,1,2,1,3] => [3,2,2,2,1,1,1] => 0
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,1,2,1,3,1] => [3,3,2,1,1,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [2,5,1,1] => [5,2,1,1] => 0
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [6,1,1,1] => [6,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [3,2,1,1,2] => [3,2,2,1,1] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,7,1] => [7,1,1] => 3640
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,1,4] => [5,4,1] => 7168
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [11,1] => [11,1] => 17017
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [5,2,1,1] => [5,2,1,1] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [10,1] => [10,1] => 11648
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,1,1,2,3,1] => [3,2,2,1,1,1] => 0
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [2,3,2,2,1] => [3,2,2,2,1] => 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] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 0
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,2,1,1,2,2] => [2,2,2,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,3,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [2,2,1,1,2,1] => [2,2,2,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,7,2] => [7,2,1] => 10752
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,5,2,1] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,7] => [7,2,1] => 10752
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 0
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [2,2,2,1,2] => [2,2,2,2,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,9,1] => [9,1,1] => 9450
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,8,2] => [8,2,1] => 18018
[1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,3,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,2,1] => [3,2,2,2,1] => 0
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,3,2,1,2] => [3,2,2,2,1] => 0
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 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] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,2,2,2,1] => [3,2,2,2,2,1] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [5,1,1,2] => [5,2,1,1] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [5,3,1] => [5,3,1] => 5460
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [5,1,1,2,1] => [5,2,1,1,1] => 0
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [5,1,2,1,1] => [5,2,1,1,1] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [7,2] => [7,2] => 6930
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [3,5,1] => [5,3,1] => 5460
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,6] => [6,4] => 9450
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,3,2,1] => [3,2,2,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [4,3,1,1] => [4,3,1,1] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [2,3,1,1,2,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2,2] => [2,2,2,2,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,4,1,1,1] => [4,2,1,1,1] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,5] => [5,3,1] => 5460
[1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [7,1,1,1] => [7,1,1,1] => 0
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,2,1,3,1,2,1] => [3,2,2,2,1,1,1] => 0
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,2,2,3,1] => [3,2,2,1,1] => 0
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [4,4,1] => [4,4,1] => 2184
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,1,2,2,1,1] => [3,2,2,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,5,1,1] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [4,4,1] => [4,4,1] => 2184
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [2,2,1,3,1] => [3,2,2,1,1] => 0
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,4,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [4,1,1,2,1] => [4,2,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [3,1,4,1] => [4,3,1,1] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [11,1] => [11,1] => 17017
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [4,3,1,1] => [4,3,1,1] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,7] => [7,2,1] => 10752
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [6,1,2] => [6,2,1] => 6006
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [5,1,1,2] => [5,2,1,1] => 0
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,1,5] => [5,2,1,1,1] => 0
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,1,4] => [4,2,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [4,1,4] => [4,4,1] => 2184
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 0
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,1,2,2] => [2,2,2,1,1,1,1] => 0
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 0
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,4,1] => [4,1,1,1,1,1,1] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [3,5,1] => [5,3,1] => 5460
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [8,1,1] => [8,1,1] => 6006
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [3,6,1] => [6,3,1] => 11319
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,1,3,1] => [4,3,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0] => [4,1,1,2,1] => [4,2,1,1,1] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,5,1,1,1,1,1] => [5,2,1,1,1,1,1] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,1,2,2,2] => [2,2,2,2,1] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [3,3,2,1,1] => [3,3,2,1,1] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [2,3,3,1,1] => [3,3,2,1,1] => 0
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [6,3,1] => [6,3,1] => 11319
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,5,1,1] => [5,2,1,1] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,6,1] => [6,1,1,1] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,5,2] => [5,2,1,1] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,6,1] => [6,1,1,1] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [3,4,2] => [4,3,2] => 2240
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 0
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [5,1,1,2] => [5,2,1,1] => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,5,1,1,1] => [5,1,1,1,1] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 0
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 0
[1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [5,2,1,1] => [5,2,1,1] => 0
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,0,0,0,0,0,0,1 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3
F2=q14+q21
F3=q14+q56+3 q64
F4=1+6 q70+2 q90+q126+4 q189
F5=11+10 q126+10 q216+q252+5 q350+5 q448
F6=66+5 q84+3 q385+q462+30 q512+15 q525+12 q924
F7=302+21 q378+21 q616+q792+21 q1100+7 q1344+42 q1386+7 q1728+7 q2016
F8=1205+28 q594+28 q1078+4 q1274+q1287+28 q2079+56 q2205+8 q3003+56 q3072+8 q3276+8 q3900
Description
The dimension of the irreducible representation of Sp(6) labelled by an integer partition.
Consider the symplectic group Sp(2n). Then the integer partition (μ1,…,μk) of length at most n corresponds to the weight vector (μ1−μ2,…,μk−2−μk−1,μn,0,…,0).
For example, the integer partition (2) labels the symmetric square of the vector representation, whereas the integer partition (1,1) labels the second fundamental representation.
Consider the symplectic group Sp(2n). Then the integer partition (μ1,…,μk) of length at most n corresponds to the weight vector (μ1−μ2,…,μk−2−μk−1,μn,0,…,0).
For example, the integer partition (2) labels the symmetric square of the vector representation, whereas the integer partition (1,1) labels the second fundamental representation.
Map
inverse zeta map
Description
The inverse zeta map on Dyck paths.
See its inverse, the zeta map Mp00030zeta map, for the definition and details.
See its inverse, the zeta map Mp00030zeta map, for the definition and details.
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.
Map
rise composition
Description
Send a Dyck path to the composition of sizes of its rises.
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