- FindStat

Identifier

Mp00056: Parking functions —to Dyck path⟶ Dyck paths
Mp00118: Dyck paths —swap returns and last descent⟶ Dyck paths
Mp00027: Dyck paths —to partition⟶ Integer partitions
St001940: Integer partitions ⟶ ℤ

Values

[1,1] => [1,1,0,0] => [1,0,1,0] => [1] => 1

[1,1,1] => [1,1,1,0,0,0] => [1,0,1,0,1,0] => [2,1] => 1

[1,1,2] => [1,1,0,1,0,0] => [1,1,0,0,1,0] => [2] => 0

[1,2,1] => [1,1,0,1,0,0] => [1,1,0,0,1,0] => [2] => 0

[2,1,1] => [1,1,0,1,0,0] => [1,1,0,0,1,0] => [2] => 0

[1,1,3] => [1,1,0,0,1,0] => [1,1,0,1,0,0] => [1] => 1

[1,3,1] => [1,1,0,0,1,0] => [1,1,0,1,0,0] => [1] => 1

[3,1,1] => [1,1,0,0,1,0] => [1,1,0,1,0,0] => [1] => 1

[1,2,2] => [1,0,1,1,0,0] => [1,0,1,1,0,0] => [1,1] => 0

[2,1,2] => [1,0,1,1,0,0] => [1,0,1,1,0,0] => [1,1] => 0

[2,2,1] => [1,0,1,1,0,0] => [1,0,1,1,0,0] => [1,1] => 0

[1,1,1,1] => [1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 1

[1,1,1,2] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 0

[1,1,2,1] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 0

[1,2,1,1] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 0

[2,1,1,1] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 0

[1,1,1,3] => [1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0

[1,1,3,1] => [1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0

[1,3,1,1] => [1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0

[3,1,1,1] => [1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0

[1,1,1,4] => [1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0] => [2] => 0

[1,1,4,1] => [1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0] => [2] => 0

[1,4,1,1] => [1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0] => [2] => 0

[4,1,1,1] => [1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0] => [2] => 0

[1,1,2,2] => [1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 0

[1,2,1,2] => [1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 0

[1,2,2,1] => [1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 0

[2,1,1,2] => [1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 0

[2,1,2,1] => [1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 0

[2,2,1,1] => [1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 0

[1,1,2,3] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[1,1,3,2] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[1,2,1,3] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[1,2,3,1] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[1,3,1,2] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[1,3,2,1] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[2,1,1,3] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[2,1,3,1] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[2,3,1,1] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[3,1,1,2] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[3,1,2,1] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[3,2,1,1] => [1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1

[1,1,2,4] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[1,1,4,2] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[1,2,1,4] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[1,2,4,1] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[1,4,1,2] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[1,4,2,1] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[2,1,1,4] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[2,1,4,1] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[2,4,1,1] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[4,1,1,2] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[4,1,2,1] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[4,2,1,1] => [1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1

[1,1,3,3] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => [2,2] => 1

[1,3,1,3] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => [2,2] => 1

[1,3,3,1] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => [2,2] => 1

[3,1,1,3] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => [2,2] => 1

[3,1,3,1] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => [2,2] => 1

[3,3,1,1] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => [2,2] => 1

[1,1,3,4] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[1,1,4,3] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[1,3,1,4] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[1,3,4,1] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[1,4,1,3] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[1,4,3,1] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[3,1,1,4] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[3,1,4,1] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[3,4,1,1] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[4,1,1,3] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[4,1,3,1] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[4,3,1,1] => [1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0

[1,2,2,2] => [1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 2

[2,1,2,2] => [1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 2

[2,2,1,2] => [1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 2

[2,2,2,1] => [1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 2

[1,2,2,3] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[1,2,3,2] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[1,3,2,2] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[2,1,2,3] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[2,1,3,2] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[2,2,1,3] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[2,2,3,1] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[2,3,1,2] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[2,3,2,1] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[3,1,2,2] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[3,2,1,2] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[3,2,2,1] => [1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 0

[1,2,2,4] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[1,2,4,2] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[1,4,2,2] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[2,1,2,4] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[2,1,4,2] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[2,2,1,4] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[2,2,4,1] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[2,4,1,2] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[2,4,2,1] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[4,1,2,2] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[4,2,1,2] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[4,2,2,1] => [1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0] => [1] => 1

[1,2,3,3] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

>>> Load all 17375 entries. <<<

[1,3,2,3] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[1,3,3,2] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[2,1,3,3] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[2,3,1,3] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[2,3,3,1] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[3,1,2,3] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[3,1,3,2] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[3,2,1,3] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[3,2,3,1] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[3,3,1,2] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[3,3,2,1] => [1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0

[1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 1

[1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2

[1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2

[1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2

[1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2

[2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2

[1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 0

[1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 0

[1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 0

[1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 0

[3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 0

[1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0

[1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0

[1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0

[1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0

[4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0

[1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0

[1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0

[1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0

[1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0

[5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0

[1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 0

[1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 0

[1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1

[1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1

[1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 0

[1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 0

[1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 0

[1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0

[1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1

[1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 0

[1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1

[1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 0

[1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 0

[1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1

[1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1

[1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1

[1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1

[1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2

[1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 0

[1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1

[1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 0

[1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0

[1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0

[1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 1

[2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 1

[2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 1

[2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 1

[2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 1

[1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2

[1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 0

[1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0

[1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 0

[1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 0

[1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1

[1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1

[1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0

[1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1

[1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 0

[1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0] => [1] => 1

[1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0

[1,1,1,1,1,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 1

[1,1,1,1,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 1

[1,1,1,1,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 1

[1,1,1,2,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 1

[1,1,2,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 1

[1,2,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 1

[2,1,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 1

[1,1,1,1,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 1

[1,1,1,1,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 1

[1,1,1,3,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 1

[1,1,3,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 1

[1,3,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 1

[3,1,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 1

[1,1,1,1,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 0

[1,1,1,1,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 0

[1,1,1,4,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 0

[1,1,4,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 0

[1,4,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 0

[4,1,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 0

[1,1,1,1,1,5] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0

[1,1,1,1,5,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0

[1,1,1,5,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0

[1,1,5,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0

[1,5,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0

[5,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0

[1,1,1,1,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0

[1,1,1,1,6,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0

[1,1,1,6,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0

[1,1,6,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0

[1,6,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0

[6,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0

[1,1,1,1,2,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,1,1,2,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,1,1,2,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,1,2,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,1,2,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,1,2,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,2,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,2,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,2,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,2,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[2,1,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[2,1,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[2,1,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[2,1,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[2,2,1,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 2

[1,1,1,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,1,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,1,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,1,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,1,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,1,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,2,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,2,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,2,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,3,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,3,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,3,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,2,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,2,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,2,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,2,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,3,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,3,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,3,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,3,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[2,1,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[2,1,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[2,1,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[2,1,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[2,3,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[3,1,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[3,1,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[3,1,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[3,1,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[3,2,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 2

[1,1,1,1,2,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,1,1,4,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,1,2,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,1,2,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,1,4,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,1,4,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,2,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,2,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,2,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,4,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,4,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,4,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,2,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,2,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,2,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,2,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,4,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,4,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,4,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,4,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[2,1,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[2,1,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[2,1,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[2,1,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[2,4,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[4,1,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[4,1,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[4,1,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[4,1,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[4,2,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 0

[1,1,1,1,2,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,1,1,5,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,1,2,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,1,2,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,1,5,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,1,5,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,2,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,2,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,2,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,5,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,5,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,5,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,2,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,2,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,2,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,2,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,5,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,5,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,5,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,5,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[2,1,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[2,1,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[2,1,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[2,1,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[2,5,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[5,1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[5,1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[5,1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[5,1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[5,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1

[1,1,1,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,1,1,6,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,1,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,1,2,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,1,6,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,1,6,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,2,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,2,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,2,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,6,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,6,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,6,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,2,1,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,2,1,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,2,1,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,2,6,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,6,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,6,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,6,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,6,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[2,1,1,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[2,1,1,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[2,1,1,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[2,1,6,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[2,6,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[6,1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[6,1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[6,1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[6,1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[6,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1

[1,1,1,1,3,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,1,1,3,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,1,1,3,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,1,3,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,1,3,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,1,3,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,3,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,3,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,3,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,3,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[3,1,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[3,1,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[3,1,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[3,1,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[3,3,1,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 0

[1,1,1,1,3,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,1,1,4,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,1,3,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,1,3,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,1,4,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,1,4,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,3,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,3,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,3,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,4,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,4,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,4,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,3,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,3,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,3,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,3,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,4,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,4,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,4,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,4,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[3,1,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[3,1,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[3,1,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[3,1,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[3,4,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[4,1,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[4,1,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[4,1,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[4,1,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[4,3,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 0

[1,1,1,1,3,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,1,1,5,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,1,3,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,1,3,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,1,5,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,1,5,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,3,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,3,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,3,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,5,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,5,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,5,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,3,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,3,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,3,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,3,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,5,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,5,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,5,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,5,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[3,1,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[3,1,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[3,1,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[3,1,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[3,5,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[5,1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[5,1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[5,1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[5,1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[5,3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 0

[1,1,1,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,1,1,6,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,1,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,1,3,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,1,6,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,1,6,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,3,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,3,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,3,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,6,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,6,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,6,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,3,1,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,3,1,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,3,1,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,3,6,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,6,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,6,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,6,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,6,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[3,1,1,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[3,1,1,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[3,1,1,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[3,1,6,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[3,6,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[6,1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[6,1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[6,1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[6,1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[6,3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 0

[1,1,1,1,4,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,1,1,4,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,1,1,4,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,1,4,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,1,4,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,1,4,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,4,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,4,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,4,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,4,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[4,1,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[4,1,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[4,1,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[4,1,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[4,4,1,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 0

[1,1,1,1,4,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,1,1,5,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,1,4,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,1,4,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,1,5,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,1,5,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,4,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,4,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,4,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,5,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,5,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,5,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,4,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,4,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,4,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,4,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,5,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,5,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,5,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,5,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[4,1,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[4,1,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[4,1,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[4,1,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[4,5,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[5,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[5,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[5,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[5,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[5,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 0

[1,1,1,1,4,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,1,1,6,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,1,4,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,1,4,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,1,6,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,1,6,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,4,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,4,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,4,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,6,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,6,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,6,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,4,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,4,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,4,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,4,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,6,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,6,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,6,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,6,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[4,1,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[4,1,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[4,1,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[4,1,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[4,6,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[6,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[6,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[6,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[6,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[6,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 0

[1,1,1,1,5,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,1,1,5,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,1,1,5,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,1,5,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,1,5,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,1,5,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,5,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,5,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,5,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,5,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[5,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[5,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[5,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[5,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[5,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0

[1,1,1,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,1,1,6,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,1,5,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,1,5,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,1,6,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,1,6,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,5,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,5,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,5,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,6,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,6,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,6,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,5,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,5,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,5,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,5,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,6,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[5,1,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[5,1,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[5,1,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[5,1,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[5,6,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[6,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0

[1,1,1,2,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,1,2,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,1,2,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,1,2,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,2,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,2,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,2,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,2,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,2,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,2,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,1,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,1,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,1,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,1,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,1,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,1,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,2,1,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,2,1,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,2,1,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[2,2,2,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 0

[1,1,1,2,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,1,2,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,1,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,2,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,2,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,2,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,2,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,2,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,2,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,3,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,3,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,3,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,2,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,3,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,3,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,3,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,3,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,3,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,3,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,1,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,2,1,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,2,1,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,2,1,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,2,3,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,3,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,3,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,3,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[2,3,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,1,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,1,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,1,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,1,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,1,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,1,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,2,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,2,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,2,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[3,2,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 0

[1,1,1,2,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,1,2,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,1,4,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,2,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,2,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,2,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,2,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,2,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,2,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,4,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,4,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,4,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,2,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,4,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,4,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,4,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,4,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,4,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,4,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,1,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,2,1,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,2,1,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,2,1,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,2,4,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,4,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,4,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,4,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[2,4,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,1,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,1,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,1,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,1,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,1,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,1,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,2,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,2,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,2,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[4,2,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1

[1,1,1,2,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,1,2,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,1,5,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,2,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,2,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,2,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,2,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,2,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,2,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,5,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,5,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,5,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,2,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,5,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,1,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,1,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,1,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,1,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,2,5,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[2,5,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[5,2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 0

[1,1,1,2,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,1,2,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,1,6,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,2,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,6,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,6,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,6,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,1,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,2,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,2,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,2,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,6,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,6,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,2,6,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,6,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,1,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,2,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,2,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,2,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,6,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,6,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,1,6,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,1,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,1,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,1,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,2,6,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[2,6,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[6,2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 0

[1,1,1,2,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,1,3,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,1,3,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,2,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,2,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,2,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,3,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,3,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,3,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,3,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,3,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,3,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,2,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,2,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,2,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,2,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,2,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,2,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,3,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,1,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,1,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,1,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,1,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,1,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,1,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,3,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,3,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,3,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[2,3,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,1,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,2,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,2,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,2,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,2,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,3,1,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,3,1,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,3,1,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[3,3,2,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 0

[1,1,1,2,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,1,2,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,1,3,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,1,3,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,1,4,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,1,4,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,2,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,2,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,2,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,2,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,2,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,2,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,3,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,3,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,3,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,3,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,3,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,3,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,4,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,4,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,4,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,4,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,4,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,4,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,2,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,3,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,4,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,1,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,3,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,3,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,3,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,3,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,4,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,4,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,4,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[2,4,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,1,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,2,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,2,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,2,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,2,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,4,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,4,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,4,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[3,4,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,1,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,2,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,2,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,2,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,2,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,3,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,3,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,3,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[4,3,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 0

[1,1,1,2,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,1,2,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,1,3,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,1,3,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,1,5,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,1,5,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,2,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,2,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,2,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,2,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,2,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,2,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,3,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,3,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,3,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,3,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,3,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,3,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,5,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,5,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,5,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,5,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,5,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,5,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,2,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,3,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,5,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,1,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,3,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,3,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,3,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,3,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,5,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,5,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,5,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[2,5,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,1,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,2,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,2,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,2,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,2,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,5,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,5,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,5,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[3,5,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[5,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1

[1,1,1,2,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,1,2,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,1,3,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,1,3,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,1,6,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,1,6,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,2,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,2,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,2,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,2,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,2,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,2,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,3,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,3,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,3,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,3,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,3,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,3,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,6,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,6,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,6,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,6,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,6,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,6,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,2,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,3,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,6,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,1,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,3,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,3,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,3,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,3,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,6,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,6,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,6,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[2,6,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,1,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,2,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,2,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,2,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,2,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,6,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,6,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,6,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[3,6,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[6,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1

[1,1,1,2,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,1,4,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,1,4,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,2,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,2,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,2,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,4,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,4,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,4,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,4,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,4,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,4,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,2,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,2,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,2,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,2,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,2,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,2,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,4,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,1,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,1,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,1,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,1,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,1,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,1,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,4,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,4,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,4,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[2,4,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,1,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,2,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,2,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,2,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,2,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,4,1,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,4,1,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,4,1,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[4,4,2,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1

[1,1,1,2,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,1,2,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,1,4,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,1,4,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,1,5,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,1,5,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,2,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,2,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,2,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,2,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,2,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,2,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,4,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,4,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,4,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,4,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,4,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,4,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,5,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,5,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,5,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,5,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,5,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,5,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,2,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,4,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,5,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,1,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,4,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,4,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,4,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,4,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,5,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,5,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,5,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[2,5,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,1,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,2,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,2,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,2,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,2,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,5,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,5,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,5,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[4,5,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[5,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1

[1,1,1,2,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,1,2,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,1,4,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,1,4,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,1,6,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,1,6,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,2,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,2,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,2,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,2,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,2,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,2,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,4,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,4,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,4,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,4,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,4,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,4,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,6,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,6,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,6,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,6,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,6,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,6,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,2,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,4,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,6,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,1,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,4,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,4,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,4,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,4,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,6,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,6,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,6,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[2,6,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,1,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,2,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,2,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,2,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,2,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,6,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,6,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,6,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[4,6,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[6,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1

[1,1,1,2,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,1,5,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,1,5,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,2,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,2,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,2,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,5,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,5,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,5,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,5,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,5,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,5,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,2,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,2,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,2,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,2,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,2,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,2,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,5,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,1,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,1,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,1,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,1,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,1,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,1,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,5,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,5,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,5,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[2,5,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[5,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1

[1,1,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,1,2,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,1,5,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,1,5,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,1,6,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,1,6,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,2,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,2,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,2,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,2,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,2,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,5,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,5,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,5,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,5,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,5,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,5,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,6,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,6,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,6,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,6,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,6,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,6,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,2,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,5,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,6,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,1,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,5,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,5,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,5,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,5,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,6,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,6,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,6,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[2,6,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,1,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,2,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,2,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,2,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,2,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,6,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,6,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,6,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[5,6,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[6,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1

[1,1,1,3,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,1,3,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,1,3,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,1,3,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,3,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,3,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,3,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,3,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,3,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,3,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,1,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,1,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,1,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,1,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,1,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,1,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,3,1,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,3,1,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,3,1,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[3,3,3,1,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 0

[1,1,1,3,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,1,3,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,1,4,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,3,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,3,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,3,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,3,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,3,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,3,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,4,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,4,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,4,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,3,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,4,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,4,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,4,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,4,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,4,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,4,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,1,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,3,1,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,3,1,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,3,1,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,3,4,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,4,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,4,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,4,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[3,4,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,1,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,1,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,1,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,1,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,1,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,1,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,3,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,3,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,3,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[4,3,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 0

[1,1,1,3,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,1,3,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,1,5,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,3,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,3,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,3,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,3,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,3,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,3,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,5,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,5,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,5,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,3,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,5,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,5,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,5,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,5,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,5,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,5,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,1,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,3,1,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,3,1,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,3,1,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,3,5,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,5,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,5,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,5,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[3,5,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[5,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1

[1,1,1,3,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,1,3,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,1,6,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,3,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,3,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,3,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,3,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,3,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,3,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,6,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,6,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,6,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,3,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,6,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,6,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,6,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,6,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,6,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,6,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,1,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,3,1,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,3,1,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,3,1,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,3,6,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,6,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,6,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,6,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[3,6,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[6,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1

[1,1,1,3,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,1,4,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,1,4,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,3,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,3,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,3,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,4,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,4,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,4,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,4,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,4,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,4,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,3,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,3,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,3,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,3,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,3,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,3,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,4,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,1,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,1,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,1,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,1,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,1,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,1,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,4,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,4,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,4,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[3,4,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,1,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,3,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,3,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,3,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,3,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,4,1,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,4,1,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,4,1,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[4,4,3,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 0

[1,1,1,3,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,1,3,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,1,4,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,1,4,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,1,5,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,1,5,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,3,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,3,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,3,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,3,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,3,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,3,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,4,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,4,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,4,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,4,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,4,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,4,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,5,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,5,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,5,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,5,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,5,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,5,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,3,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,4,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,5,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,1,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,4,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,4,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,4,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,4,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,5,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,5,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,5,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[3,5,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,1,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,3,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,3,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,3,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,3,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,5,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,5,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,5,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[4,5,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[5,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 0

[1,1,1,3,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,1,3,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,1,4,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,1,4,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,1,6,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,1,6,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,3,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,3,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,3,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,3,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,3,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,3,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,4,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,4,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,4,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,4,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,4,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,4,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,6,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,6,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,6,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,6,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,6,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,6,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,3,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,4,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,6,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,1,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,4,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,4,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,4,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,4,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,6,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,6,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,6,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[3,6,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,1,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,3,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,3,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,3,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,3,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,6,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,6,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,6,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[4,6,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[6,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 0

[1,1,1,3,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,1,5,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,1,5,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,3,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,3,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,3,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,5,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,5,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,5,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,5,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,5,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,5,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,3,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,3,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,3,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,3,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,3,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,3,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,5,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,1,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,1,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,1,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,1,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,1,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,1,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,5,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,5,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,5,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[3,5,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[5,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 0

[1,1,1,3,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,1,3,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,1,5,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,1,5,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,1,6,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,1,6,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,3,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,3,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,3,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,3,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,3,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,3,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,5,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,5,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,5,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,5,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,5,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,5,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,6,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,6,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,6,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,6,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,6,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,6,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,3,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,5,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,6,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,1,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,5,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,5,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,5,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,5,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,6,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,6,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,6,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[3,6,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,1,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,3,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,3,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,3,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,3,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,6,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,6,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,6,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[5,6,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[6,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 0

[1,1,1,4,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,1,4,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,1,4,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,1,4,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,4,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,4,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,4,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,4,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,4,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,4,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,1,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,1,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,1,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,1,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,1,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,1,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,4,1,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,4,1,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,4,1,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[4,4,4,1,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 0

[1,1,1,4,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,1,4,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,1,5,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,4,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,4,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,4,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,4,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,4,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,4,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,5,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,5,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,5,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,4,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,5,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,5,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,5,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,5,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,5,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,5,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,1,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,4,1,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,4,1,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,4,1,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,4,5,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,5,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,5,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,5,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[4,5,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[5,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 0

[1,1,1,4,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,1,4,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,1,6,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,4,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,4,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,4,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,4,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,4,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,4,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,6,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,6,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,6,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,4,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,6,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,6,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,6,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,6,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,6,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,6,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,1,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,4,1,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,4,1,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,4,1,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,4,6,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,6,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,6,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,6,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[4,6,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[6,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1

[1,1,1,4,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,1,5,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,1,5,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,4,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,4,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,4,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,5,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,5,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,5,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,5,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,5,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,5,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,4,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,4,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,4,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,4,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,4,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,4,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,5,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,1,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,1,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,1,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,1,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,1,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,1,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,5,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,5,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,5,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[4,5,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[5,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 1

[1,1,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,1,4,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,1,5,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,1,5,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,1,6,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,1,6,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,4,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,4,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,4,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,4,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,4,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,4,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,5,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,5,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,5,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,5,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,5,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,5,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,6,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,6,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,6,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,6,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,6,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,6,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,4,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,5,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,6,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,1,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,5,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,5,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,5,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,5,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,6,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,6,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,6,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[4,6,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,1,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,4,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,4,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,4,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,4,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,6,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,6,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,6,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[5,6,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[6,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0

[1,1,2,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[1,2,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[1,2,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[1,2,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[1,2,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,1,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,1,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,1,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,1,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,2,1,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,2,1,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,2,1,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,2,2,1,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,2,2,1,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[2,2,2,2,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 0

[1,1,2,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,1,2,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,1,2,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,1,3,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,2,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,3,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,3,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,3,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,3,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,1,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,1,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,1,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,1,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,1,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,1,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,1,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,2,1,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,2,1,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,2,3,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,3,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,3,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,2,3,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,3,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,3,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,3,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,3,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,3,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[2,3,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,1,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,1,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,1,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,1,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,2,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,2,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,2,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,2,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,2,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[3,2,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 0

[1,1,2,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,1,2,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,1,2,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,1,4,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,2,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,4,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,4,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,4,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,4,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,1,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,1,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,1,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,1,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,1,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,1,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,1,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,2,1,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,2,1,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,2,4,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,4,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,4,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,2,4,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,4,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,4,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,4,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,4,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,4,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[2,4,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,1,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,1,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,1,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,1,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,2,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,2,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,2,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,2,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,2,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[4,2,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 0

[1,1,2,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,1,2,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,1,2,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,1,5,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,2,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,5,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,5,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,5,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,5,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,1,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,1,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,1,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,1,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,1,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,1,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,1,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,2,1,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,2,1,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,2,5,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,5,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,5,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,2,5,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,5,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,5,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,5,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,5,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,5,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[2,5,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[5,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 0

[1,1,2,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,1,2,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,1,2,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,1,6,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,2,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,6,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,6,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,6,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,6,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,1,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,1,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,1,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,1,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,1,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,1,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,1,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,2,1,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,2,1,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,2,6,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,6,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,6,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,2,6,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,6,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,6,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,6,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,6,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,6,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[2,6,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[6,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 0

[1,1,2,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,1,2,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,1,2,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,1,3,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,1,3,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,1,3,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,2,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,3,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,1,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,2,1,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,2,1,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,2,1,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,2,3,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,2,3,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,2,3,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[2,3,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,1,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,2,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,3,1,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,3,1,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,3,1,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,3,2,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,3,2,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[3,3,2,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 1

[1,1,2,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,2,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,2,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,2,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,2,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,2,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,3,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,3,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,3,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,4,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,4,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,4,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,2,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,3,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,4,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,1,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,1,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,1,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,1,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,1,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,1,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,1,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,3,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,3,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,3,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,4,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,4,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,2,4,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,3,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[2,4,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,1,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,2,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,4,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,4,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,4,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,4,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,4,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[3,4,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,1,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,2,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,3,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,3,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,3,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,3,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,3,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[4,3,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1

[1,1,2,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,2,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,2,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,2,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,2,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,2,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,3,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,3,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,3,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,5,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,5,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,5,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,2,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,3,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,5,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,1,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,1,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,1,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,1,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,1,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,1,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,1,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,3,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,3,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,3,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,5,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,5,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,2,5,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,3,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[2,5,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,1,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,2,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,5,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,5,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,5,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,5,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,5,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[3,5,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[5,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 0

[1,1,2,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,2,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,2,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,2,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,2,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,2,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,3,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,3,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,3,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,6,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,6,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,6,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,2,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,3,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,6,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,1,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,1,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,1,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,1,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,1,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,1,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,1,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,3,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,3,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,3,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,6,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,6,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,2,6,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,3,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[2,6,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,1,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,2,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,6,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,6,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,6,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,6,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,6,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[3,6,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[6,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 0

[1,1,2,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,1,2,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,1,2,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,1,4,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,1,4,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,1,4,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,2,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,4,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,1,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,2,1,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,2,1,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,2,1,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,2,4,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,2,4,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,2,4,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[2,4,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,1,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,2,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,4,1,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,4,1,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,4,1,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,4,2,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,4,2,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[4,4,2,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 0

[1,1,2,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,2,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,2,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,2,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,2,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,2,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,4,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,4,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,4,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,5,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,5,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,5,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,2,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,4,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,5,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,1,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,1,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,1,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,1,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,1,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,1,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,1,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,4,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,4,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,4,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,5,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,5,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,2,5,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,4,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[2,5,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,1,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,2,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,5,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,5,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,5,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,5,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,5,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[4,5,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[5,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 0

[1,1,2,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,2,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,2,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,2,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,2,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,2,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,4,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,4,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,4,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,6,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,6,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,6,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,2,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,4,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,6,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,1,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,1,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,1,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,1,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,1,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,1,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,1,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,4,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,4,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,4,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,6,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,6,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,2,6,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,4,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[2,6,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,1,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,2,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,6,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,6,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,6,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,6,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,6,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[4,6,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[6,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 0

[1,1,2,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,1,2,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,1,2,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,1,5,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,1,5,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,1,5,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,2,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,5,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,1,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,2,1,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,2,1,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,2,1,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,2,5,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,2,5,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,2,5,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[2,5,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[5,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 0

[1,1,2,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,2,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,2,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,2,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,2,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,2,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,5,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,5,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,5,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,6,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,6,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,6,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,2,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,5,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,6,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,1,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,1,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,1,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,1,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,1,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,1,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,1,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,5,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,5,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,5,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,6,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,6,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,2,6,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,5,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[2,6,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,1,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,2,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,6,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,6,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,6,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,6,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,6,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[5,6,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[6,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 0

[1,1,2,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,1,3,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,1,3,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,1,3,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,2,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,2,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,2,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,2,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,3,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,1,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,1,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,1,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,1,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,3,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,3,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,3,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,3,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,3,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[2,3,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,1,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,2,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,2,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,2,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,2,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,2,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,2,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,1,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,1,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,1,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,1,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,1,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,1,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,2,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,2,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,2,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,3,1,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,3,1,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[3,3,3,2,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 1

[1,1,2,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,2,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,2,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,3,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,3,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,3,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,3,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,3,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,3,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,4,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,4,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,4,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,2,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,3,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,4,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,1,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,3,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,4,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,4,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,4,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,4,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,4,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[2,4,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,1,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,2,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,1,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,1,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,1,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,1,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,1,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,1,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,2,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,2,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,2,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,4,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,4,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,3,4,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[3,4,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,1,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,2,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,2,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,2,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,2,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,2,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,2,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[4,3,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1

[1,1,2,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,2,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,2,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,3,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,3,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,3,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,3,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,3,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,3,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,5,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,5,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,5,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,2,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,3,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,5,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,1,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,3,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,5,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,5,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,5,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,5,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,5,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[2,5,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,1,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,2,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,1,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,1,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,1,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,1,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,1,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,1,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,2,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,2,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,2,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,5,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,5,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,3,5,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[3,5,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[5,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2

[1,1,2,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,2,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,2,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,3,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,3,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,3,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,3,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,3,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,3,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,6,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,6,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,6,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,2,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,3,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,6,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,1,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,3,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,6,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,6,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,6,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,6,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,6,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[2,6,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,1,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,2,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,1,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,1,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,1,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,1,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,1,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,1,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,2,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,2,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,2,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,6,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,6,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,3,6,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[3,6,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[6,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2

[1,1,2,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,2,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,2,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,3,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,3,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,3,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,4,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,4,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,4,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,4,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,4,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,4,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,2,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,3,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,4,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,1,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,3,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,3,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,3,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,3,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,3,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,3,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[2,4,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,1,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,2,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,2,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,2,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,2,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,2,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,2,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[3,4,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,1,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,2,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,3,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,1,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,1,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,1,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,1,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,1,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,1,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,2,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,2,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,2,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,3,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,3,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[4,4,3,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1

[1,1,2,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,2,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,2,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,2,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,2,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,2,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,3,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,3,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,3,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,3,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,3,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,3,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,4,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,4,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,4,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,4,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,4,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,4,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,5,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,5,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,5,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,5,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,5,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,5,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,2,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,3,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,4,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,5,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,1,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,3,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,4,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[2,5,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,1,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,2,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,4,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[3,5,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,1,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,2,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,3,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[4,5,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[5,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1

[1,1,2,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,2,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,2,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,2,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,2,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,2,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,3,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,3,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,3,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,3,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,3,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,3,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,4,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,4,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,4,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,4,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,4,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,4,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,6,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,6,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,6,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,6,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,6,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,6,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,2,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,3,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,4,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,6,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,1,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,3,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,4,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[2,6,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,1,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,2,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,4,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[3,6,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,1,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,2,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,3,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[4,6,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[6,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1

[1,1,2,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,2,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,2,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,3,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,3,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,3,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,5,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,5,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,5,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,5,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,5,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,5,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,2,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,3,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,5,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,1,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,3,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,3,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,3,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,3,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,3,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,3,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[2,5,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,1,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,2,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,2,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,2,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,2,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,2,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,2,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[3,5,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[5,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 1

[1,1,2,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,2,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,2,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,2,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,2,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,2,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,3,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,3,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,3,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,3,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,3,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,3,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,5,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,5,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,5,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,5,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,5,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,5,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,6,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,6,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,6,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,6,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,6,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,6,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,2,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,3,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,5,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,6,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,1,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,3,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,5,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[2,6,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,1,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,2,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,5,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[3,6,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,1,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,2,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,3,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[5,6,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[6,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1

[1,1,2,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,1,4,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,1,4,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,1,4,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,2,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,2,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,2,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,2,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,4,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,1,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,1,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,1,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,1,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,4,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,4,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,4,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,4,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,4,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[2,4,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,1,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,2,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,2,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,2,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,2,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,2,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,2,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,1,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,1,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,1,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,1,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,1,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,1,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,2,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,2,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,2,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,4,1,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,4,1,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[4,4,4,2,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 1

[1,1,2,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,2,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,2,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,4,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,4,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,4,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,4,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,4,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,4,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,5,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,5,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,5,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,2,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,4,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,5,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,1,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,4,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,5,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,5,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,5,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,5,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,5,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[2,5,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,1,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,2,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,1,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,1,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,1,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,1,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,1,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,1,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,2,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,2,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,2,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,5,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,5,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,4,5,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[4,5,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[5,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1

[1,1,2,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,2,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,2,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,4,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,4,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,4,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,4,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,4,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,4,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,6,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,6,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,6,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,2,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,4,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,6,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,1,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,4,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,6,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,6,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,6,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,6,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,6,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[2,6,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,1,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,2,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,1,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,1,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,1,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,1,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,1,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,1,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,2,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,2,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,2,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,6,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,6,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,4,6,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[4,6,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[6,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2

[1,1,2,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,2,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,2,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,4,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,4,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,4,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,5,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,5,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,5,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,5,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,5,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,5,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,2,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,4,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,5,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,1,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,4,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,4,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,4,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,4,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,4,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,4,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[2,5,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,1,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,2,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,2,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,2,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,2,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,2,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,2,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[4,5,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[5,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 2

[1,1,2,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,2,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,2,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,2,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,2,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,2,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,4,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,4,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,4,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,4,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,4,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,4,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,5,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,5,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,5,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,5,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,5,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,5,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,6,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,6,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,6,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,6,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,6,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,6,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,2,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,4,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,5,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,6,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,1,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,4,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,5,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[2,6,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,1,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,2,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,5,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[4,6,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,1,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,2,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,4,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[5,6,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[6,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1

[1,1,3,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[1,3,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[1,3,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[1,3,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[1,3,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,1,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,1,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,1,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,1,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,3,1,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,3,1,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,3,1,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,3,3,1,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,3,3,1,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[3,3,3,3,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 0

[1,1,3,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,1,3,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,1,3,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,1,4,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,3,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,4,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,4,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,4,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,4,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,1,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,1,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,1,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,1,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,1,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,1,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,1,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,3,1,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,3,1,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,3,4,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,4,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,4,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,3,4,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,4,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,4,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,4,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,4,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,4,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[3,4,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,1,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,1,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,1,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,1,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,3,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,3,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,3,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,3,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,3,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[4,3,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 0

[1,1,3,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,1,3,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,1,3,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,1,5,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,3,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,5,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,5,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,5,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,5,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,1,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,1,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,1,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,1,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,1,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,1,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,1,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,3,1,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,3,1,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,3,5,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,5,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,5,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,3,5,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,5,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,5,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,5,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,5,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,5,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[3,5,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[5,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 0

[1,1,3,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,1,3,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,1,3,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,1,6,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,3,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,6,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,6,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,6,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,6,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,1,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,1,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,1,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,1,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,1,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,1,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,1,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,3,1,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,3,1,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,3,6,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,6,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,6,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,3,6,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,6,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,6,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,6,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,6,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,6,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[3,6,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[6,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 0

[1,1,3,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,1,3,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,1,3,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,1,4,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,1,4,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,1,4,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,3,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,4,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,1,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,3,1,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,3,1,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,3,1,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,3,4,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,3,4,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,3,4,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[3,4,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,1,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,3,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,4,1,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,4,1,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,4,1,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,4,3,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,4,3,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[4,4,3,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1

[1,1,3,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,3,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,3,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,3,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,3,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,3,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,4,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,4,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,4,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,5,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,5,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,5,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,3,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,4,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,5,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,1,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,1,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,1,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,1,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,1,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,1,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,1,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,4,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,4,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,4,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,5,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,5,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,3,5,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,4,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[3,5,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,1,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,3,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,5,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,5,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,5,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,5,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,5,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[4,5,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[5,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1

[1,1,3,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,3,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,3,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,3,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,3,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,3,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,4,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,4,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,4,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,6,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,6,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,6,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,3,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,4,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,6,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,1,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,1,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,1,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,1,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,1,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,1,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,1,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,4,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,4,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,4,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,6,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,6,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,3,6,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,4,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[3,6,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,1,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,3,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,6,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,6,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,6,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,6,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,6,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[4,6,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[6,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 0

[1,1,3,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,1,3,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,1,3,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,1,5,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,1,5,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,1,5,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,3,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,5,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,1,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,3,1,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,3,1,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,3,1,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,3,5,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,3,5,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,3,5,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[3,5,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[5,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1

[1,1,3,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,3,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,3,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,3,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,3,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,3,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,5,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,5,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,5,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,6,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,6,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,6,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,3,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,5,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,6,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,1,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,1,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,1,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,1,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,1,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,1,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,1,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,5,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,5,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,5,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,6,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,6,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,3,6,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,5,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[3,6,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,1,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,3,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,6,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,6,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,6,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,6,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,6,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[5,6,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[6,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1

[1,1,3,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,1,4,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,1,4,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,1,4,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,3,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,3,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,3,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,3,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,4,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,1,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,1,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,1,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,1,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,4,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,4,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,4,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,4,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,4,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[3,4,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,1,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,3,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,3,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,3,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,3,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,3,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,3,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,1,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,1,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,1,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,1,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,1,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,1,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,3,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,3,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,3,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,4,1,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,4,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[4,4,4,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1

[1,1,3,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,3,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,3,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,4,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,4,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,4,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,4,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,4,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,4,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,5,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,5,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,5,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,3,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,4,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,5,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,1,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,4,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,5,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,5,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,5,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,5,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,5,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[3,5,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,1,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,3,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,1,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,1,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,1,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,1,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,1,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,1,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,3,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,3,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,3,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,5,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,5,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,4,5,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[4,5,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[5,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 0

[1,1,3,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,3,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,3,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,4,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,4,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,4,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,4,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,4,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,4,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,6,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,6,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,6,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,3,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,4,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,6,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,1,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,4,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[3,6,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,1,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,3,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,1,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,1,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,1,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,1,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,1,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,1,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,3,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,3,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,3,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,6,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,6,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,4,6,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[4,6,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[6,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 0

[1,1,3,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,3,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,3,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,4,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,4,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,4,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,5,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,5,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,5,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,5,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,5,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,5,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,3,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,4,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,5,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,1,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,4,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,4,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,4,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,4,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,4,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,4,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[3,5,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,1,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,3,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,3,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,3,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,3,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,3,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,3,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[4,5,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[5,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0

[1,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,3,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,3,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,3,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,3,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,4,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,4,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,4,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,4,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,4,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,4,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,5,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,5,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,5,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,5,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,5,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,5,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,6,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,6,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,6,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,6,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,6,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,1,6,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,3,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,4,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,5,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,6,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,1,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,4,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,5,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[3,6,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,1,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,3,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,5,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[4,6,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,1,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,3,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,4,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[5,6,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[6,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0

[1,2,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1

[2,1,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1

[2,2,1,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1

[2,2,2,1,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1

[2,2,2,2,1,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1

[2,2,2,2,2,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 1

[1,2,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[1,2,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[1,2,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[1,2,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[1,3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,1,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,1,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,1,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,1,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,1,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,1,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,1,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,2,1,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,2,1,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,2,2,1,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,2,2,3,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,2,3,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,2,3,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,3,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,3,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,2,3,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,3,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,3,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,3,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[2,3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[3,1,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[3,2,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[3,2,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[3,2,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[3,2,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 1

[1,2,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[1,2,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[1,2,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[1,2,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[1,4,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,1,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,1,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,1,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,1,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,1,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,1,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,1,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,2,1,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,2,1,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,2,2,1,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,2,2,4,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,2,4,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,2,4,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,4,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,4,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,2,4,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,4,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,4,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,4,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[2,4,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[4,1,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[4,2,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[4,2,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[4,2,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[4,2,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1

[1,2,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[1,2,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[1,2,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[1,2,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[1,5,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,1,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,1,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,1,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,1,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,1,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,1,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,1,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,2,1,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,2,1,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,2,2,1,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,2,2,5,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,2,5,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,2,5,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,5,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,5,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,2,5,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,5,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,5,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,5,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[2,5,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[5,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[5,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[5,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[5,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[5,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 0

[1,2,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[1,2,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[1,2,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[1,2,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[1,6,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,1,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,1,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,1,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,1,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,1,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,1,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,1,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,2,1,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,2,1,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,2,2,1,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,2,2,6,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,2,6,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,2,6,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,6,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,6,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,2,6,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,6,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,6,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,6,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[2,6,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[6,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[6,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[6,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[6,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[6,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0

[1,2,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,2,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,2,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,2,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,2,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,2,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,3,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,3,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,3,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,3,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,1,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,1,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,1,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,1,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,1,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,1,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,1,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,1,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,1,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,2,1,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,2,3,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,2,3,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,3,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,3,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,3,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,3,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,3,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,2,3,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[2,3,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,1,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,1,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,1,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,1,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,2,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,3,1,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,3,2,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,3,2,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[3,3,2,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2

[1,2,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,3,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,3,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,3,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,3,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,4,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,4,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,4,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,4,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,1,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,1,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,1,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,1,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,1,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,1,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,1,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,2,1,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,2,1,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,2,3,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,2,3,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,2,4,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,2,4,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,3,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,3,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,3,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,3,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,3,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,3,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,4,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,4,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,4,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,4,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,4,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,2,4,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,3,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[2,4,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,1,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,1,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,1,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,1,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,2,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,4,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,4,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,4,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[3,4,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,1,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,1,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,1,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,1,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,2,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,3,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,3,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,3,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[4,3,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 2

[1,2,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,3,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,3,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,3,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,3,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,5,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,5,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,5,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,5,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,1,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,1,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,1,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,1,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,1,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,1,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,1,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,2,1,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,2,1,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,2,3,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,2,3,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,2,5,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,2,5,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,3,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,3,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,3,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,3,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,3,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,3,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,5,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,5,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,5,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,5,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,5,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,2,5,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,3,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[2,5,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,1,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,1,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,1,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,1,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,2,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,5,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,5,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,5,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[3,5,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[5,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 0

[1,2,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,3,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,3,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,3,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,3,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,6,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,6,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,6,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,6,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,1,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,1,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,1,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,1,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,1,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,1,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,1,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,2,1,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,2,1,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,2,3,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,2,3,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,2,6,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,2,6,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,3,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,3,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,3,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,3,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,3,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,3,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,6,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,6,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,6,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,6,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,6,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,2,6,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,3,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[2,6,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,1,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,1,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,1,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,1,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,2,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,6,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,6,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,6,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[3,6,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[6,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1

[1,2,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,2,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,2,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,2,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,2,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,2,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,4,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,4,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,4,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,4,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,1,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,1,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,1,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,1,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,1,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,1,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,1,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,1,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,1,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,2,1,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,2,4,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,2,4,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,4,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,4,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,4,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,4,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,4,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,2,4,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[2,4,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,1,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,1,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,1,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,1,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,2,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,4,1,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,4,2,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,4,2,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[4,4,2,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 0

[1,2,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,4,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,4,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,4,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,4,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,5,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,5,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,5,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,5,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,1,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,1,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,1,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,1,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,1,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,1,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,1,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,2,1,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,2,1,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,2,4,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,2,4,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,2,5,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,2,5,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,4,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,4,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,4,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,4,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,4,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,4,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,5,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,5,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,5,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,5,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,5,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,2,5,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,4,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[2,5,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,1,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,1,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,1,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,1,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,2,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,5,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,5,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,5,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[4,5,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[5,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 0

[1,2,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,4,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,4,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,4,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,4,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,6,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,6,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,6,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,6,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,1,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,1,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,1,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,1,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,1,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,1,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,1,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,2,1,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,2,1,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,2,4,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,2,4,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,2,6,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,2,6,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,4,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,4,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,4,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,4,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,4,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,4,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,6,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,6,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,6,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,6,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,6,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,2,6,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,4,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[2,6,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,1,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,1,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,1,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,1,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,2,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,6,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,6,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,6,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[4,6,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[6,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 0

[1,2,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,2,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,2,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,2,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,2,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,2,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,5,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,5,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,5,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,5,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,1,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,1,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,1,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,1,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,1,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,1,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,1,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,1,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,1,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,2,1,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,2,5,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,2,5,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,5,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,5,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,5,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,5,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,5,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,2,5,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[2,5,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[5,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 0

[1,2,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,5,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,5,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,5,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,5,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,6,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,1,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,1,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,1,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,1,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,1,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,1,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,1,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,2,1,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,2,1,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,2,5,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,2,5,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,2,6,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,2,6,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,5,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,5,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,5,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,5,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,5,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,5,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,6,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,6,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,6,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,6,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,6,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,2,6,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,5,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[2,6,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,1,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,1,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,1,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,1,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,2,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,6,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,6,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,6,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[5,6,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[6,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1

[1,2,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,2,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,2,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,2,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,3,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,3,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,3,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,3,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,3,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,3,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,1,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,1,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,1,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,1,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,2,1,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,2,3,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,2,3,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,2,3,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[2,3,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,1,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,1,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,1,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,1,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,1,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,1,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,2,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,1,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,1,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,1,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,2,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,2,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,2,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,2,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,2,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,2,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,3,1,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,3,2,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[3,3,3,2,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 0

[1,2,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,3,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,4,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,4,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,4,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,4,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,4,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,4,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,1,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,1,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,1,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,1,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,3,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,3,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,3,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,3,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,3,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,3,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,4,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,4,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,2,4,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,3,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[2,4,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,1,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,2,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,1,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,1,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,1,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,2,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,2,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,2,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,2,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,2,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,2,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,4,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,4,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,3,4,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[3,4,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,1,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,1,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,1,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,1,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,1,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,1,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,2,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[4,3,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 0

[1,2,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,3,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,5,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,5,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,5,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,5,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,5,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,5,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,1,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,1,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,1,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,1,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,3,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,3,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,3,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,3,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,3,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,3,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,5,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,5,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,2,5,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,3,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[2,5,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,1,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,2,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,1,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,1,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,1,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,2,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,2,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,2,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,2,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,2,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,2,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,5,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,5,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,3,5,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[3,5,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[5,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1

[1,2,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,3,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,6,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,1,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,1,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,1,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,1,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,3,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,3,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,3,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,3,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,3,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,3,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,6,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,6,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,2,6,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,3,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[2,6,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,1,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,2,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,1,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,1,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,1,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,2,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,2,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,2,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,2,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,2,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,2,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,6,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,6,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,3,6,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[3,6,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[6,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 0

[1,2,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,3,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,3,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,3,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,3,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,3,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,3,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,4,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,1,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,1,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,1,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,1,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,3,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,3,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,3,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,4,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,4,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,4,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,4,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,4,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,2,4,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,3,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[2,4,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,1,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,1,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,1,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,1,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,1,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,1,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,2,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[3,4,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,1,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,2,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,3,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,1,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,1,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,1,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,2,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,2,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,2,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,2,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,2,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,2,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,3,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,3,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[4,4,3,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 0

[1,2,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,3,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,4,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,5,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,1,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,1,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,1,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,1,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,1,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,1,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,1,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,3,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,3,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,3,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,3,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,3,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,3,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,4,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,4,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,4,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,4,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,4,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,4,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,5,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,5,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,5,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,5,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,5,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,2,5,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,3,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,4,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[2,5,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,1,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,2,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,4,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[3,5,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,1,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,2,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,3,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[4,5,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[5,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 0

[1,2,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,3,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,4,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,6,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,1,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,1,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,1,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,1,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,1,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,1,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,1,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,3,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,3,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,3,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,3,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,3,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,3,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,4,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,4,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,4,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,4,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,4,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,4,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,6,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,6,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,6,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,6,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,6,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,2,6,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,3,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,4,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[2,6,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,1,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,2,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,4,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[3,6,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,1,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,2,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,3,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[4,6,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[6,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1

[1,2,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,3,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,3,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,3,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,3,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,3,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,3,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,5,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,1,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,1,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,1,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,1,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,3,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,3,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,3,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,5,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,5,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,5,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,5,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,5,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,2,5,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,3,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[2,5,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,1,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,1,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,1,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,1,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,1,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,1,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,2,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[3,5,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[5,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 0

[1,2,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,3,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,5,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,6,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,1,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,1,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,1,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,1,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,1,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,1,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,1,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,3,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,3,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,3,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,3,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,3,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,3,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,5,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,5,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,5,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,5,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,5,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,5,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,6,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,6,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,6,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,6,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,6,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,2,6,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,3,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,5,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[2,6,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,1,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,2,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,5,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[3,6,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,1,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,2,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,3,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[5,6,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[6,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2

[1,2,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,2,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,2,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,2,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,4,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,4,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,4,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,4,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,4,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,4,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,1,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,1,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,1,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,1,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,2,1,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,2,4,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,2,4,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,2,4,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[2,4,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,1,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,1,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,1,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,1,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,1,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,1,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,2,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,1,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,1,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,1,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,2,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,2,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,2,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,2,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,2,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,2,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,4,1,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,4,2,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[4,4,4,2,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1

[1,2,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,4,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,5,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,5,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,5,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,5,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,5,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,5,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,1,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,1,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,1,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,1,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,4,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,4,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,4,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,4,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,4,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,4,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,5,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,5,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,2,5,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,4,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[2,5,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,1,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,2,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,1,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,1,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,1,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,2,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,2,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,2,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,2,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,2,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,2,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,5,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,5,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,4,5,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[4,5,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[5,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1

[1,2,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,4,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,6,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,1,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,1,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,1,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,1,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,4,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,4,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,4,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,4,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,4,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,4,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,6,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,6,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,2,6,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,4,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[2,6,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,1,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,2,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,1,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,1,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,1,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,2,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,2,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,2,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,2,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,2,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,2,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,6,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,6,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,4,6,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[4,6,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[6,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 0

[1,2,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,4,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,4,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,4,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,4,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,4,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,4,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,5,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,1,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,1,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,1,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,1,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,4,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,4,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,4,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,5,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,5,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,5,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,5,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,5,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,2,5,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,4,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[2,5,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,1,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,1,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,1,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,1,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,1,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,1,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,2,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[4,5,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[5,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 0

[1,2,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,4,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,5,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,6,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,1,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,1,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,4,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,4,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,4,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,4,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,4,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,4,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,5,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,5,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,5,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,5,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,5,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,5,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,6,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,6,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,6,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,6,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,6,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,2,6,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,4,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,5,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[2,6,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,1,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,2,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,5,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[4,6,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,1,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,2,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,4,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[5,6,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[6,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0

[1,2,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[1,3,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[1,3,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[1,3,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[1,3,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[2,1,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[2,3,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[2,3,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[2,3,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[2,3,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,1,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,1,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,1,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,1,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,2,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,2,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,2,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,2,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,1,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,1,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,1,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,2,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,2,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,2,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,3,1,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,3,1,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,3,2,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,3,2,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,3,3,1,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[3,3,3,3,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2

[1,2,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,2,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,2,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,2,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,3,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,4,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,4,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,4,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,4,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,1,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,1,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,1,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,1,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,3,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,4,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,4,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,4,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[2,4,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,1,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,2,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,1,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,1,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,1,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,1,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,1,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,1,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,2,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,2,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,2,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,2,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,2,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,2,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,3,1,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,3,1,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,3,2,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,3,2,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,3,4,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,3,4,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,4,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,4,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,4,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,4,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,4,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,3,4,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[3,4,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,1,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,1,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,1,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,1,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,2,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,2,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,2,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,2,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[4,3,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1

[1,2,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,2,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,2,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,2,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,3,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,5,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,5,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,5,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,5,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,1,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,1,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,1,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,1,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,3,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,5,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,5,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,5,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[2,5,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,1,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,2,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,1,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,1,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,1,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,1,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,1,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,1,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,2,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,2,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,2,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,2,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,2,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,2,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,3,1,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,3,1,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,3,2,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,3,2,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,3,5,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,3,5,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,5,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,5,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,5,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,5,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,5,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,3,5,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[3,5,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[5,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 0

[1,2,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,2,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,2,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,2,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,3,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,6,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,6,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,6,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,6,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,1,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,1,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,1,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,1,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,3,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,6,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,6,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,6,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[2,6,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,1,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,2,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,1,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,1,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,1,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,1,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,1,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,1,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,2,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,2,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,2,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,2,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,2,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,2,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,3,1,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,3,1,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,3,2,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,3,2,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,3,6,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,3,6,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,6,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,6,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,6,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,6,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,6,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,3,6,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[3,6,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[6,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0

[1,2,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,2,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,2,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,2,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,2,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,2,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,3,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,4,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,1,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,1,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,1,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,1,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,1,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,1,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,3,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[2,4,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,1,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,2,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,1,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,1,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,1,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,2,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,2,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,2,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,4,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,4,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,4,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,4,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,4,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,3,4,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[3,4,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,1,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,2,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,3,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,1,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,1,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,1,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,2,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,2,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,2,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,3,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,3,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,3,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,3,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,3,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[4,4,3,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2

[1,2,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,3,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,4,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,5,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,1,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,3,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,4,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[2,5,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,1,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,2,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,1,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,1,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,1,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,1,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,1,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,1,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,2,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,2,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,2,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,2,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,2,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,2,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,4,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,4,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,4,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,4,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,4,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,4,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,5,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,5,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,5,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,5,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,5,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,3,5,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,4,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[3,5,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,1,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,2,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,3,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[4,5,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[5,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 0

[1,2,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,3,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,4,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,6,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,1,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,3,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,4,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[2,6,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,1,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,2,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,1,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,1,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,1,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,1,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,1,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,1,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,2,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,2,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,2,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,2,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,2,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,2,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,4,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,4,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,4,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,4,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,4,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,4,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,6,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,6,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,6,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,6,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,6,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,3,6,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,4,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[3,6,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,1,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,2,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,3,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[4,6,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[6,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1

[1,2,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,2,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,2,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,2,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,2,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,2,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,3,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,5,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,1,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,1,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,1,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,1,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,1,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,1,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,3,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[2,5,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,1,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,2,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,1,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,1,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,1,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,2,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,2,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,2,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,5,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,5,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,5,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,5,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,5,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,3,5,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[3,5,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[5,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1

[1,2,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,3,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,5,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,6,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,1,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,3,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,5,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[2,6,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,1,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,2,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,1,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,1,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,1,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,1,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,1,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,1,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,2,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,2,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,2,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,2,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,2,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,2,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,5,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,5,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,5,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,5,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,5,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,5,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,6,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,6,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,6,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,6,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,6,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,3,6,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,5,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[3,6,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,1,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,2,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,3,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[5,6,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[6,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0

[1,2,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,2,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,2,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,2,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,3,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,3,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,3,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,3,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,4,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,1,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,1,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,1,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,1,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,3,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,3,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,3,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,3,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[2,4,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,1,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,1,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,1,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,1,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,2,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,2,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,2,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,2,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[3,4,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,1,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,2,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,3,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,1,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,1,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,1,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,1,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,1,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,1,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,2,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,2,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,2,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,2,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,2,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,2,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,3,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,3,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,3,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,3,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,3,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,3,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,4,1,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,4,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,4,2,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,4,2,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,4,3,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[4,4,4,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1

[1,2,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,3,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,4,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,5,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,1,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,3,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,4,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[2,5,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,1,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,2,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,4,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[3,5,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,1,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,2,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,3,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,1,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,1,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,1,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,1,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,1,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,1,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,2,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,2,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,2,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,2,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,2,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,2,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,3,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,3,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,3,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,3,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,3,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,3,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,5,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,5,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,5,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,5,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,5,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,4,5,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[4,5,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[5,4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 0

[1,2,3,4,4,6] => [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] => 1

[1,2,3,4,6,4] => [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] => 1

[1,2,3,6,4,4] => [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] => 1

[1,2,4,3,4,6] => [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] => 1

[1,2,4,3,6,4] => [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] => 1

[1,2,4,4,3,6] => [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] => 1

[1,2,4,4,6,3] => [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] => 1

[1,2,4,6,3,4] => [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] => 1

[1,2,4,6,4,3] => [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] => 1

[1,2,6,3,4,4] => [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] => 1

[1,2,6,4,3,4] => [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] => 1

[1,2,6,4,4,3] => [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] => 1

[1,3,2,4,4,6] => [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] => 1

[1,3,2,4,6,4] => [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] => 1

[1,3,2,6,4,4] => [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] => 1

[1,3,4,2,4,6] => [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] => 1

[1,3,4,2,6,4] => [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] => 1

[1,3,4,4,2,6] => [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] => 1

[1,3,4,4,6,2] => [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] => 1

[1,3,4,6,2,4] => [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] => 1

[1,3,4,6,4,2] => [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] => 1

[1,3,6,2,4,4] => [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] => 1

[1,3,6,4,2,4] => [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] => 1

[1,3,6,4,4,2] => [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] => 1

[1,4,2,3,4,6] => [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] => 1

[1,4,2,3,6,4] => [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] => 1

[1,4,2,4,3,6] => [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] => 1

[1,4,2,4,6,3] => [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] => 1

[1,4,2,6,3,4] => [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] => 1

[1,4,2,6,4,3] => [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] => 1

[1,4,3,2,4,6] => [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] => 1

[1,4,3,2,6,4] => [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] => 1

[1,4,3,4,2,6] => [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] => 1

[1,4,3,4,6,2] => [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] => 1

[1,4,3,6,2,4] => [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] => 1

[1,4,3,6,4,2] => [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] => 1

[1,4,4,2,3,6] => [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] => 1

[1,4,4,2,6,3] => [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] => 1

[1,4,4,3,2,6] => [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] => 1

[1,4,4,3,6,2] => [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] => 1

[1,4,4,6,2,3] => [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] => 1

[1,4,4,6,3,2] => [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] => 1

[1,4,6,2,3,4] => [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] => 1

[1,4,6,2,4,3] => [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] => 1

[1,4,6,3,2,4] => [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] => 1

[1,4,6,3,4,2] => [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] => 1

[1,4,6,4,2,3] => [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] => 1

[1,4,6,4,3,2] => [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] => 1

[1,6,2,3,4,4] => [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] => 1

[1,6,2,4,3,4] => [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] => 1

[1,6,2,4,4,3] => [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] => 1

[1,6,3,2,4,4] => [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] => 1

[1,6,3,4,2,4] => [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] => 1

[1,6,3,4,4,2] => [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] => 1

[1,6,4,2,3,4] => [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] => 1

[1,6,4,2,4,3] => [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] => 1

[1,6,4,3,2,4] => [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] => 1

[1,6,4,3,4,2] => [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] => 1

[1,6,4,4,2,3] => [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] => 1

[1,6,4,4,3,2] => [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] => 1

[2,1,3,4,4,6] => [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] => 1

[2,1,3,4,6,4] => [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] => 1

[2,1,3,6,4,4] => [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] => 1

[2,1,4,3,4,6] => [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] => 1

[2,1,4,3,6,4] => [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] => 1

[2,1,4,4,3,6] => [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] => 1

[2,1,4,4,6,3] => [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] => 1

[2,1,4,6,3,4] => [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] => 1

[2,1,4,6,4,3] => [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] => 1

[2,1,6,3,4,4] => [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] => 1

[2,1,6,4,3,4] => [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] => 1

[2,1,6,4,4,3] => [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] => 1

[2,3,1,4,4,6] => [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] => 1

[2,3,1,4,6,4] => [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] => 1

[2,3,1,6,4,4] => [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] => 1

[2,3,4,1,4,6] => [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] => 1

[2,3,4,1,6,4] => [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] => 1

[2,3,4,4,1,6] => [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] => 1

[2,3,4,4,6,1] => [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] => 1

[2,3,4,6,1,4] => [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] => 1

[2,3,4,6,4,1] => [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] => 1

[2,3,6,1,4,4] => [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] => 1

[2,3,6,4,1,4] => [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] => 1

[2,3,6,4,4,1] => [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] => 1

[2,4,1,3,4,6] => [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] => 1

[2,4,1,3,6,4] => [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] => 1

[2,4,1,4,3,6] => [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] => 1

[2,4,1,4,6,3] => [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] => 1

[2,4,1,6,3,4] => [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] => 1

[2,4,1,6,4,3] => [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] => 1

[2,4,3,1,4,6] => [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] => 1

[2,4,3,1,6,4] => [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] => 1

[2,4,3,4,1,6] => [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] => 1

[2,4,3,4,6,1] => [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] => 1

[2,4,3,6,1,4] => [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] => 1

[2,4,3,6,4,1] => [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] => 1

[2,4,4,1,3,6] => [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] => 1

[2,4,4,1,6,3] => [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] => 1

[2,4,4,3,1,6] => [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] => 1

[2,4,4,3,6,1] => [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] => 1

[2,4,4,6,1,3] => [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] => 1

[2,4,4,6,3,1] => [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] => 1

[2,4,6,1,3,4] => [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] => 1

[2,4,6,1,4,3] => [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] => 1

[2,4,6,3,1,4] => [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] => 1

[2,4,6,3,4,1] => [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] => 1

[2,4,6,4,1,3] => [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] => 1

[2,4,6,4,3,1] => [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] => 1

[2,6,1,3,4,4] => [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] => 1

[2,6,1,4,3,4] => [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] => 1

[2,6,1,4,4,3] => [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] => 1

[2,6,3,1,4,4] => [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] => 1

[2,6,3,4,1,4] => [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] => 1

[2,6,3,4,4,1] => [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] => 1

[2,6,4,1,3,4] => [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] => 1

[2,6,4,1,4,3] => [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] => 1

[2,6,4,3,1,4] => [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] => 1

[2,6,4,3,4,1] => [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] => 1

[2,6,4,4,1,3] => [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] => 1

[2,6,4,4,3,1] => [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] => 1

[3,1,2,4,4,6] => [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] => 1

[3,1,2,4,6,4] => [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] => 1

[3,1,2,6,4,4] => [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] => 1

[3,1,4,2,4,6] => [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] => 1

[3,1,4,2,6,4] => [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] => 1

[3,1,4,4,2,6] => [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] => 1

[3,1,4,4,6,2] => [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] => 1

[3,1,4,6,2,4] => [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] => 1

[3,1,4,6,4,2] => [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] => 1

[3,1,6,2,4,4] => [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] => 1

[3,1,6,4,2,4] => [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] => 1

[3,1,6,4,4,2] => [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] => 1

[3,2,1,4,4,6] => [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] => 1

[3,2,1,4,6,4] => [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] => 1

[3,2,1,6,4,4] => [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] => 1

[3,2,4,1,4,6] => [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] => 1

[3,2,4,1,6,4] => [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] => 1

[3,2,4,4,1,6] => [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] => 1

[3,2,4,4,6,1] => [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] => 1

[3,2,4,6,1,4] => [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] => 1

[3,2,4,6,4,1] => [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] => 1

[3,2,6,1,4,4] => [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] => 1

[3,2,6,4,1,4] => [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] => 1

[3,2,6,4,4,1] => [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] => 1

[3,4,1,2,4,6] => [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] => 1

[3,4,1,2,6,4] => [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] => 1

[3,4,1,4,2,6] => [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] => 1

[3,4,1,4,6,2] => [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] => 1

[3,4,1,6,2,4] => [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] => 1

[3,4,1,6,4,2] => [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] => 1

[3,4,2,1,4,6] => [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] => 1

[3,4,2,1,6,4] => [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] => 1

[3,4,2,4,1,6] => [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] => 1

[3,4,2,4,6,1] => [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] => 1

[3,4,2,6,1,4] => [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] => 1

[3,4,2,6,4,1] => [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] => 1

[3,4,4,1,2,6] => [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] => 1

[3,4,4,1,6,2] => [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] => 1

[3,4,4,2,1,6] => [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] => 1

[3,4,4,2,6,1] => [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] => 1

[3,4,4,6,1,2] => [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] => 1

[3,4,4,6,2,1] => [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] => 1

[3,4,6,1,2,4] => [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] => 1

[3,4,6,1,4,2] => [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] => 1

[3,4,6,2,1,4] => [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] => 1

[3,4,6,2,4,1] => [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] => 1

[3,4,6,4,1,2] => [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] => 1

[3,4,6,4,2,1] => [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] => 1

[3,6,1,2,4,4] => [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] => 1

[3,6,1,4,2,4] => [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] => 1

[3,6,1,4,4,2] => [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] => 1

[3,6,2,1,4,4] => [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] => 1

[3,6,2,4,1,4] => [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] => 1

[3,6,2,4,4,1] => [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] => 1

[3,6,4,1,2,4] => [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] => 1

[3,6,4,1,4,2] => [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] => 1

[3,6,4,2,1,4] => [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] => 1

[3,6,4,2,4,1] => [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] => 1

[3,6,4,4,1,2] => [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] => 1

[3,6,4,4,2,1] => [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] => 1

[4,1,2,3,4,6] => [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] => 1

[4,1,2,3,6,4] => [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] => 1

[4,1,2,4,3,6] => [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] => 1

[4,1,2,4,6,3] => [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] => 1

[4,1,2,6,3,4] => [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] => 1

[4,1,2,6,4,3] => [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] => 1

[4,1,3,2,4,6] => [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] => 1

[4,1,3,2,6,4] => [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] => 1

[4,1,3,4,2,6] => [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] => 1

[4,1,3,4,6,2] => [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] => 1

[4,1,3,6,2,4] => [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] => 1

[4,1,3,6,4,2] => [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] => 1

[4,1,4,2,3,6] => [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] => 1

[4,1,4,2,6,3] => [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] => 1

[4,1,4,3,2,6] => [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] => 1

[4,1,4,3,6,2] => [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] => 1

[4,1,4,6,2,3] => [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] => 1

[4,1,4,6,3,2] => [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] => 1

[4,1,6,2,3,4] => [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] => 1

[4,1,6,2,4,3] => [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] => 1

[4,1,6,3,2,4] => [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] => 1

[4,1,6,3,4,2] => [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] => 1

[4,1,6,4,2,3] => [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] => 1

[4,1,6,4,3,2] => [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] => 1

[4,2,1,3,4,6] => [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] => 1

[4,2,1,3,6,4] => [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] => 1

[4,2,1,4,3,6] => [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] => 1

[4,2,1,4,6,3] => [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] => 1

[4,2,1,6,3,4] => [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] => 1

[4,2,1,6,4,3] => [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] => 1

[4,2,3,1,4,6] => [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] => 1

[4,2,3,1,6,4] => [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] => 1

[4,2,3,4,1,6] => [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] => 1

[4,2,3,4,6,1] => [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] => 1

[4,2,3,6,1,4] => [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] => 1

[4,2,3,6,4,1] => [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] => 1

[4,2,4,1,3,6] => [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] => 1

[4,2,4,1,6,3] => [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] => 1

[4,2,4,3,1,6] => [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] => 1

[4,2,4,3,6,1] => [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] => 1

[4,2,4,6,1,3] => [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] => 1

[4,2,4,6,3,1] => [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] => 1

[4,2,6,1,3,4] => [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] => 1

[4,2,6,1,4,3] => [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] => 1

[4,2,6,3,1,4] => [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] => 1

[4,2,6,3,4,1] => [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] => 1

[4,2,6,4,1,3] => [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] => 1

[4,2,6,4,3,1] => [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] => 1

[4,3,1,2,4,6] => [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] => 1

[4,3,1,2,6,4] => [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] => 1

[4,3,1,4,2,6] => [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] => 1

[4,3,1,4,6,2] => [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] => 1

[4,3,1,6,2,4] => [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] => 1

[4,3,1,6,4,2] => [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] => 1

[4,3,2,1,4,6] => [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] => 1

[4,3,2,1,6,4] => [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] => 1

[4,3,2,4,1,6] => [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] => 1

[4,3,2,4,6,1] => [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] => 1

[4,3,2,6,1,4] => [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] => 1

[4,3,2,6,4,1] => [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] => 1

[4,3,4,1,2,6] => [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] => 1

[4,3,4,1,6,2] => [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] => 1

[4,3,4,2,1,6] => [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] => 1

[4,3,4,2,6,1] => [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] => 1

[4,3,4,6,1,2] => [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] => 1

[4,3,4,6,2,1] => [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] => 1

[4,3,6,1,2,4] => [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] => 1

[4,3,6,1,4,2] => [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] => 1

[4,3,6,2,1,4] => [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] => 1

[4,3,6,2,4,1] => [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] => 1

[4,3,6,4,1,2] => [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] => 1

[4,3,6,4,2,1] => [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] => 1

[4,4,1,2,3,6] => [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] => 1

[4,4,1,2,6,3] => [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] => 1

[4,4,1,3,2,6] => [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] => 1

[4,4,1,3,6,2] => [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] => 1

[4,4,1,6,2,3] => [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] => 1

[4,4,1,6,3,2] => [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] => 1

[4,4,2,1,3,6] => [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] => 1

[4,4,2,1,6,3] => [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] => 1

[4,4,2,3,1,6] => [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] => 1

[4,4,2,3,6,1] => [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] => 1

[4,4,2,6,1,3] => [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] => 1

[4,4,2,6,3,1] => [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] => 1

[4,4,3,1,2,6] => [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] => 1

[4,4,3,1,6,2] => [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] => 1

[4,4,3,2,1,6] => [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] => 1

[4,4,3,2,6,1] => [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] => 1

[4,4,3,6,1,2] => [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] => 1

[4,4,3,6,2,1] => [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] => 1

[4,4,6,1,2,3] => [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] => 1

[4,4,6,1,3,2] => [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] => 1

[4,4,6,2,1,3] => [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] => 1

[4,4,6,2,3,1] => [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] => 1

[4,4,6,3,1,2] => [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] => 1

[4,4,6,3,2,1] => [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] => 1

[4,6,1,2,3,4] => [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] => 1

[4,6,1,2,4,3] => [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] => 1

[4,6,1,3,2,4] => [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] => 1

[4,6,1,3,4,2] => [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] => 1

[4,6,1,4,2,3] => [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] => 1

[4,6,1,4,3,2] => [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] => 1

[4,6,2,1,3,4] => [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] => 1

[4,6,2,1,4,3] => [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] => 1

[4,6,2,3,1,4] => [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] => 1

[4,6,2,3,4,1] => [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] => 1

[4,6,2,4,1,3] => [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] => 1

[4,6,2,4,3,1] => [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] => 1

[4,6,3,1,2,4] => [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] => 1

[4,6,3,1,4,2] => [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] => 1

[4,6,3,2,1,4] => [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] => 1

[4,6,3,2,4,1] => [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] => 1

[4,6,3,4,1,2] => [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] => 1

[4,6,3,4,2,1] => [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] => 1

[4,6,4,1,2,3] => [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] => 1

[4,6,4,1,3,2] => [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] => 1

[4,6,4,2,1,3] => [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] => 1

[4,6,4,2,3,1] => [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] => 1

[4,6,4,3,1,2] => [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] => 1

[4,6,4,3,2,1] => [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] => 1

[6,1,2,3,4,4] => [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] => 1

[6,1,2,4,3,4] => [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] => 1

[6,1,2,4,4,3] => [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] => 1

[6,1,3,2,4,4] => [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] => 1

[6,1,3,4,2,4] => [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] => 1

[6,1,3,4,4,2] => [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] => 1

[6,1,4,2,3,4] => [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] => 1

[6,1,4,2,4,3] => [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] => 1

[6,1,4,3,2,4] => [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] => 1

[6,1,4,3,4,2] => [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] => 1

[6,1,4,4,2,3] => [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] => 1

[6,1,4,4,3,2] => [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] => 1

[6,2,1,3,4,4] => [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] => 1

[6,2,1,4,3,4] => [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] => 1

[6,2,1,4,4,3] => [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] => 1

[6,2,3,1,4,4] => [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] => 1

[6,2,3,4,1,4] => [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] => 1

[6,2,3,4,4,1] => [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] => 1

[6,2,4,1,3,4] => [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] => 1

[6,2,4,1,4,3] => [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] => 1

[6,2,4,3,1,4] => [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] => 1

[6,2,4,3,4,1] => [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] => 1

[6,2,4,4,1,3] => [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] => 1

[6,2,4,4,3,1] => [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] => 1

[6,3,1,2,4,4] => [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] => 1

[6,3,1,4,2,4] => [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] => 1

[6,3,1,4,4,2] => [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] => 1

[6,3,2,1,4,4] => [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] => 1

[6,3,2,4,1,4] => [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] => 1

[6,3,2,4,4,1] => [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] => 1

[6,3,4,1,2,4] => [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] => 1

[6,3,4,1,4,2] => [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] => 1

[6,3,4,2,1,4] => [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] => 1

[6,3,4,2,4,1] => [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] => 1

[6,3,4,4,1,2] => [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] => 1

[6,3,4,4,2,1] => [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] => 1

[6,4,1,2,3,4] => [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] => 1

[6,4,1,2,4,3] => [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] => 1

[6,4,1,3,2,4] => [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] => 1

[6,4,1,3,4,2] => [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] => 1

[6,4,1,4,2,3] => [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] => 1

[6,4,1,4,3,2] => [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] => 1

[6,4,2,1,3,4] => [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] => 1

[6,4,2,1,4,3] => [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] => 1

[6,4,2,3,1,4] => [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] => 1

[6,4,2,3,4,1] => [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] => 1

[6,4,2,4,1,3] => [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] => 1

[6,4,2,4,3,1] => [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] => 1

[6,4,3,1,2,4] => [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] => 1

[6,4,3,1,4,2] => [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] => 1

[6,4,3,2,1,4] => [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] => 1

[6,4,3,2,4,1] => [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] => 1

[6,4,3,4,1,2] => [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] => 1

[6,4,3,4,2,1] => [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] => 1

[6,4,4,1,2,3] => [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] => 1

[6,4,4,1,3,2] => [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] => 1

[6,4,4,2,1,3] => [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] => 1

[6,4,4,2,3,1] => [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] => 1

[6,4,4,3,1,2] => [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] => 1

[6,4,4,3,2,1] => [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] => 1

[1,2,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,2,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,3,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,4,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[1,5,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,1,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,3,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,4,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[2,5,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,1,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,2,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,4,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[3,5,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,1,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,2,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,3,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[4,5,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

[5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0

search for individual values

searching the database for the individual values of this statistic

Description

The number of distinct parts that are equal to their multiplicity in the integer partition.

Map

to Dyck path

Description

Sends a parking function to its support Dyck word.

Map

to partition

Description

The cut-out partition of a Dyck path.
The partition $\lambda$ associated to a Dyck path is defined to be the complementary partition inside the staircase partition $(n-1,\ldots,2,1)$ when cutting out $D$ considered as a path from $(0,0)$ to $(n,n)$.
In other words, $\lambda_{i}$ is the number of down-steps before the $(n+1-i)$-th up-step of $D$.
This map is a bijection between Dyck paths of size $n$ and partitions inside the staircase partition $(n-1,\ldots,2,1)$.

Map

swap returns and last descent

Description

Return a Dyck path with number of returns and length of the last descent interchanged.
This is the specialisation of the map $\Phi$ in [1] to Dyck paths. It is characterised by the fact that the number of up steps before a down step that is neither a return nor part of the last descent is preserved.